Modul Selia Bantu 2008 ( Bpg )

Mathematics Module

Modul Selia Bantu PPSMI 2

Bahagian Pendidikan Guru Kementerian Pelajaran Malaysia Aras 2 – 6 Blok E 13 Kompleks Kerajaan Parcel E Pusat Pentadbiran Persekutuan 62604 PUTRAJAYA Hak cipta terpelihara. Tidak dibenarkan mengeluar ulang mana-mana bahagian isi kandungan modul ini dalam apa jua bentuk dan apa jua cara sama ada elektronik, fotostat, makanik rakaman atau cara lain sebelum mendapat izin bertulis daripada Bahagian Pendidikan Guru, Kementerian Pelajaran Malaysia, Aras 2 – 6, Blok e 13 Kompleks Kerajaan Parcel E, Pusat Pentadbiran Persekutuan 62604 PUTRAJAYA Hakcipta Bahagian Pendidikan Guru Kementerian Pelajaran Malaysia Cetakan Pertama 2008

Mathematics Module


FOREWORD

Mathematics Module


ADVISOR

Datin Asariah Bt Meor Shahruddin

Director Of Teacher Education Division Ministry Of Education Malaysia

CHAIRMAN

Tuan Haji Mokhtar Bin Mat Dris

District Education Officer Perak Tengah Perak

COORDINATOR

En. Romai Noor Bin Rabbu

Assistant Director Of Teacher Education Division Ministry Of Education, Malaysia

MODULE PANELLISTS : 1. Tn. Hj. Ahmad Damanhuri Bin Nordin

Duputy District Education Officer Perak Tengah , Perak

2. Tn. Syed Azelan Bin Syed Abu Hassan Assistant District Education Officer ( Mathematics and Science ) Perak Tengah, Perak

3. En. Mohd Ramdzan Bin Mukhtar Assistant District Education Officer ( Languages ) Perak Tengah, Perak 4. En. Zaudi Bin Lebai Mat Assistant District Education Officer ( Vocational and Technology ) Perak Tengah, Perak

5. Cik Zarena Bi Binti Mohamed Sadique SMK Tengku Aris Bendahara Kluang, Johor

FACILITATOR: 1. Cik Zarena Bi Binti Mohamed Sadique

SMK Tengku Aris Bendahara Kluang, Johor

Mathematics Module


MODULE WRITERS : En. Rosli b Maun ( Ketua Panel ) SK Seri Iskandar, 32800 Parit, Perak

18 tahun mengajar Guru Cemerlang Matematik SK Jurulatih Utama Matematik Panel Pembinaan Item Pemeriksa Kertas Matematik Ketua Panitia Matematik

Pn. Hjh. Hapipah Bt Sahar SK Layang – Layang Kanan, 32800 Parit, Perak

30 tahun mengajar Guru Kanan Guru Cemerlang Matematik SK Jurulatih Utama Etems Panel Pembinaan Item Pemeriksa Kertas Matematik Ketua Panitia Matematik

Email :[email protected]

Pn. Zureida Binti Hj. Huri SK Bota Kanan, 32600 Bota, Perak

18 tahun mengajar Jurulatih Utama Etems Panel Pembinaan Item Pemeriksa Kertas Matematik Ketua Panitia Matematik

En. Mohamad Razhuan Bin Napi SK Tepus, 32800 Parit, Perak

19 tahun mengajar Guru Kanan Guru Cemerlang Matematik SK

1. Jurulatih Utama Matematik Jurulatih Utama Head Count Panel Pembinaan Item Pemeriksa Kertas Matematik Ketua Panitia Matematik

Email : [email protected]

En. Fairuz Bin Ali @ Ibrahim SK Dato’ Sagor 36000 Kampong Gajah, Perak

4 tahun mengajar Jurulatih Utama Matematik Daerah Penel Penggubal Item Matematik Ketua Panitia Matematik Sekolah

email: [email protected]

En. Nor Hisham Bin Ayob SK Toh Paduka Raja 36800 Kampong Gajah, Perak

4 tahun mengajar Ketua Panitia Matematik Sekolah Panel WAJA Panel Soalan Percubaan UPSR

Negeri Panel Penggubal Item Matematik

Daerah Email:[email protected]

Mathematics Module


Pn. Kasmawati Binti Meor Abas SK Belanja,2800 Parit ,Perak

16 tahun mengajar Guru Kanan HEM Penel Penggubal Item Matematik Ketua Panitia Matematik Sekolah

Negeri Perak

Pn. Rohhaya Binti Yunos SK Titi Gantung,32600 Bota, Perak.

21 tahun mengajar Ketua Panitia Matematik Sekolah Panel Penggubal Soalan Daerah

En. Rozali Bin Din SK Tanjung Belanja,32800 Parit,Perak

24 tahun mengajar Pengerusi Panitia Matematik Sekolah Panel Penggubal Soalan Daerah Panel Penggubal Soalan Percubaan

Cik Norazawati Binti Hj. Damiri SK Iskandar Shah,32800 Parit,Perak

12 tahun mengajar Panel Penggubal Soalan Daerah Panel Penggubal Soalan Percubaan

Negeri Perak

EDITORS: 1. Pn. Fatimah Binti Mustafa

SMK Bandar Maharani Muar, Johor

2. Pn. Sarweswari A/P Karuppiah SMK Dato Hj Kamaruddin, Kuala Kubu Baru Ulu Selangor, Selangor

3. Pn. Selvarani A/P Thanggiah

SMK Sultan Abdul Aziz Shah Kajang, Selangor

Mathematics Module


MATHEMATICS MODULES SCHEDULE

MODULE A

Week Module Topic Pages

1 A Whole Numbers 18 - 32 2 A Whole Numbers 33 - 45 3 A Whole Numbers 46 – 73 4 A Fractions 74 – 81 5 A Fractions 82 - 96 6 A Decimals 97 - 121 7 A Money 122 - 153 8 A Percentage 154 - 160 9 A Percentage 161 - 171

MODULE B


10 B Time 173 - 193 11 B Average 194 - 207 12 B Length 208 - 218 13 B Mass 219 - 234 14 B Volume of Liquid 235 - 271 15 B Shape and Space 272 - 285

MODULE C


16 C SET 1 ( Paper 1 ) 288 – 305 17 C SET 1 ( Paper 2 ) 306 – 310 18 C SET 2 ( Paper 1 ) 311 – 325 19 C SET 2 ( Paper 2 ) 326 – 330 20 C SET 3 ( Paper 1 ) 331 – 346 21 C SET 3 ( Paper 2 ) 347 – 351

Mathematics Module


TABLE OF CONTENT

CONTENT PAGES Foreword 3 Introduction AIMS and Objectives 11 - 12 Whole Numbers 16 - 81 Fractions 82 - 96 Decimals 97 - 119 Money 120 - 151 Percentage 152 - 172 Time 173 - 193

Average 194 - 207 Length 208 - 218 Mass 219 - 234 Volume of Liquid 235 - 271 Shape and Space 272 - 285 Sample of Questions ( Paper 1 and Paper 2 ) 286 - 351 Answer sheets 352 - 353 Individual Score Mark 354

Mathematics Module


TEST SPECIFICATION TABLE – MATHEMATICS UPSR PAPER 1 /2

UPSR MATHEMATICS TEST CONTENTS TOPIC Mathematics test content

Whole number

1.1 1.2 1.3 1.4 1.5 1.6 1.7

Write any number in words or numerals up to 1 000 000 Write any number in fraction or decimals ( up to 3 decimal palces) in Million up to 1 000 000 and vice –versa Determine the place value of digit up to 1 000 000 Round off any numbers , not more than 1000000 to the nearest hundred thousand , ten thousands, thousands, hundreds and tens. Ability to perform basic operations Ability to perform mixed operation involving number less than 10 000 To solve problems in daily situations.

2.1 Name and write proper fraction 2.2 Convert proper fractions to equivalent fractions 2.3 Convert fraction to its simplest form 2.4 Convert improper fractions to a mixed number and vice versa 2.5 Add / subtract

i / proper fraction with proper fraction ii/mixed number with proper fraction with the same denominator iii/ mixed number with proper fraction with different denominator iv/mixed number with mixed number with different denominator v/ mixed number with mixed number with different denominator

2.6 Multiply i/ proper fraction with whole number

Fraction

2.8 Solve problems in daily situation 3.1 Convert / express fraction of tenths, hundredths and thousandths into

decimals and vice – versa 3.2 Add whole numbers or decimals with decimals up to 3 decimal places 3.3 Subtract decimal from decimal or whole number 3.4 Multiply decimals less than 10 with one digit

Decimals

3.5 Divide decimal less than 10 4.1 Perform basic operation of addition , subtraction , multiplication and

division involving money in RM or RM and Sen 4.2 Perform mixed operation of addition and subtraction , multiplication

and division involving money in RM or RM and Sen 4.3 Solve problems in daily situations ( Exclude profit , loss , discount)

Money ( up to

RM 100000)

4.4 Read and complete a bill

Mathematics Module


5.1 Convert fraction of hundredths to percentage and vice-versa 5.2 Convert proper fraction with denominator of 2,4,5.& 10 5.3 Solve problem in daily places to percentage and vice versa

Percentage

5.4 Solve problems in daily situations 6.1 State the time in hours and minutes , a.m and p.m & 24 hour system 6.2 Convert 12 – hour system to 24 hour system and vice – versa 6.3 Read information from a schedule , a calendar and a clock face 6.4 Draw the hour and the minute hands on a clock face 6.5 Find duration of time and conversion of units 6.6 Perform basic operation involving second , minutes , hours , days ,

weeks, months and years. 6.7 Solve problems in daily situations.

Time

7.1 Read the scales in m , cm & mm 7.2 Convertion of units 7.3 Perform basic operation involving cm , m and km Length

7.4 Solve problems in in daily situations 8.1 Read the scales in kg and g 8.2 Convert kg to g and vice – versa 8.3 Perform basic operation involving cm , m and km

Mass

8.4 Solve problems in daily situasions 9.1 Read the scales in l and ml 9.2 Convert l to ml and vice – versa 9.3 Perform basic operation involving l and ml 9.4 Solve problems in daily situation

Volume Of Liquid

10.1 Name and state 2 –D shapes - square , rectangle , right-angled triangle 10.2 State the characteristics of 2 –D shapes 10.3 To determine the perimeter of a square , rectangle or triangle 10.4 To determine the perimeter of composite shapes 10.5 To determine the area of a square or a rectangle 10.6 To determine the area of composite shapes 10.7 Name and state 3 – D shapes

2-D and 3 D Dimensional

Shapes

10.8 Find the volumeof a cube and cuboid 11.1 Calculate the average of two to five quantities , numbers less than 1 00011.2 Solve problems in daily situations Average 12.1 Read and interpret data from a pictograph or a bar graph Data

Handling 12.2 Solve problems in daily situations

Mathematics Module


NATIONAL EDUCATION PHILOSOPHY

Education in Malaysia is an ongoing effort towards further developing

the potential of individuals in a holistic and integrated manner so as to produce individuals who are

intellectually, spiritually, emotionally and physically

balanced and harmonious, based on a firm belief in God. Such an

effort is designed to produce Malaysian citizens who are

knowledgeable and competent, who possess high moral standards,

and who are responsible and capable of achieving a high level of

personal well-being as well as being able to contribute to the betterment of the family, the

society and the nation at large.

Mathematics Module


MATHEMATICS AIM FOR PRIMARY SCHOOL

TThhee MMaatthheemmaattiiccss CCuurrrriiccuulluumm aaiimmss ttoo bbuuiilldd ppuuppiillss’’ uunnddeerrssttaannddiinngg ooff nnuummbbeerr ccoonncceeppttss aanndd tthheeiirr bbaassiicc sskkiillllss iinn ccoommppuuttaattiioonn tthhaatt tthheeyy ccaann aappppllyy iinn tthheeiirr ddaaiillyy rroouuttiinneess eeffffeeccttiivveellyy aanndd rreessppoonnssiibbllyy iinn kkeeeeppiinngg wwiitthh tthhee aassppiirraattiioonnss ooff aa ddeevveellooppeedd ssoocciieettyy aanndd nnaattiioonn,, aanndd aatt tthhee ssaammee ttiimmee ttoo uussee tthhiiss kknnoowwlleeddggee ttoo ffuurrtthheerr tthheeiirr ssttuuddiieess..

MATHEMATICS OBJECTIVES FOR PRIMARY SCHOOL

KKnnooww aanndd uunnddeerrssttaanndd mmaatthheemmaattiiccaall ccoonncceeppttss,, rruulleess aanndd pprriinncciipplleessrreellaattiinngg ttoo nnuummbbeerrss,, ooppeerraattiioonnss,, ssppaaccee,, mmeeaassuurreemmeenntt aanndd ddaattaa rreepprreesseennttaattiioonn

MMaasstteerr bbaassiicc ooppeerraattiioonnss ooff mmaatthheemmaattiiccss aaddddiittiioonn,, ssuubbttrraaccttiioonn,, mmuullttiipplliiccaattiioonn,, ddiivviissiioonn;; Master the skills of combined operations MMaasstteerr bbaassiicc mmaatthheemmaattiiccaall sskkiillllss,, nnaammeellyy mmaakkiinngg eessttiimmaatteess aanndd aapppprrooxxiimmaatteess,, mmeeaassuurriinngg,, hhaannddlliinngg ddaattaa,, rreepprreesseennttiinngg iinnffoorrmmaattiioonn iinn tthhee ffoorrmm ooff ggrraapphhss aanndd cchhaarrttss UUssee mmaatthheemmaattiiccaall sskkiillllss aanndd kknnoowwlleeddggee ttoo ssoollvvee pprroobblleemmss iinn

eevveerryyddaayy lliiffee eeffffeeccttiivveellyy aanndd rreessppoonnssiibbllyy;; UUssee tthhee llaanngguuaaggee ooff mmaatthheemmaattiiccss ccoorrrreeccttllyy UUssee ssuuiittaabbllee tteecchhnnoollooggyy iinn ccoonncceepptt bbuuiillddiinngg,, aaccqquuiirriinngg

mmaatthheemmaattiiccaall sskkiillllss aanndd ssoollvviinngg pprroobblleemmss AAppppllyy tthhee kknnoowwlleeddggee ooff mmaatthheemmaattiiccss ssyysstteemmaattiiccaallllyy,, hheeuurriissttiiccaallllyy,,

aaccccuurraatteellyy aanndd ccaarreeffuullllyy PPaarrttiicciippaattee iinn aaccttiivviittiieess rreellaatteedd ttoo MMaatthheemmaattiiccss;; aanndd AApppprreecciiaattee tthhee iimmppoorrttaannccee aanndd tthhee bbeeaauuttyy ooff MMaatthheemmaattiiccss..

Mathematics Module


5 LEARNING PRINCIPLES

Every classroom activity for the teaching and learning of Mathematics must include the five learning principles: 1 Problem Solving 2 Mathematical Communication 3 Reasoning 4 Making Connection 5 The Use of Technology

MODULE AIM

To use the simplest approach and method in the teaching and learning process to help teachers guide the student to master the basic skills and hence improve the performance and percentage of passes for Mathematics in Primary school.

MODULE OBJECTIVES At the end of this module, it is hoped that teachers 1 are able to help and guide the students to obtain answers using the

simplest method 2 will be able to vary the types of questions for assessments and

examinations 3 will give maximum exercises focusing on the UPSR format At the end of this module, it is hoped that students 2 are able to master basis skills of Mathematics for Primary School 3 are able to equip themselves to answers Mathematics questions 4 are able to do self access learning.

Mathematics Module


Guidelines To Usage Of The Module

Receive Module

Internalising and Understanding Module

This is a self access module. It is important that teachers understand and internalize the steps given and guide the students in answering

the questions based on those steps

Mass produce the Modules

Distribute Module to Students

Guidelines For Usage 1 Used as supporting material in the teaching and learning

process. 2 Teachers are encouraged to use the module topically. 3 Teachers act as facilitators when the students are using the

module 4 Every student owns a complete set of this module

Mathematics Module


Mathematics Module


i. 3 796 + 20 489 =

ii. 40 000 – 3578

=

iii. 6 934 x 35 =

1.4.1 Round off 38 427 to the nearest tens.

1.4.2 29 641 when rounded off to

the nearest thousands is

Types of questions

1.1.1 Write in words the number 30 402.

1.1.2 The number words for

62 057 is

1.1.3 Write the numeral for ‘forty-two thousand and six’.

i. ‘Eighteen thousand and thirty’

1.2.1 Convert 0.49 million to a numeral.

i. Express 7 003 000 to a decimal

of million

1.2.3 Convert 434 million to a numeral

a. There are 4 500 pupils. 395 are girls. What is the total of boys?

i. What is the place value of digit 4 in the number 38 402?

i. 18 x 246 ÷ 4 =

ii. 350 + 28 ÷ 7 =

iii. 104 – 17 x 42 =

Mathematics Module


WEEK : 1 THEME : WHOLE NUMBERS TOPIC : NUMBERS UP TO 7 DIGITS TIME : 4 HOURS 30 MINUTES OBJECTIVES At the end of this week, pupils should be able to: i. name and write numbers up to 1 000 000 ii. determine the place value of digits up to 1 000 000 iii. round off the numbers to the nearest tens, hundreds, thousands, and ten thousands. GENERAL INSTRUCTIONS

1. This section contains 4 parts. 2. Answer all the questions in this section.

Mathematics Module


TOPIC 1.1 (a) Write number words in numeral forms INSTRUCTIONS

Write the following values in numeral form.

No In words Numerals

1 Two hundred thousand and two

2 Eighty thousand and twenty-seven

3 Sixty-one thousand and seven

4 Five hundred thirty-six thousand and three hundred

5 Two hundred four thousand and fifty

6 Eighty thousand five hundred

7 Seven hundred two thousand and sixteen

8 Three hundred thousand four hundred and five

9 Forty-seven thousand eight hundred and six

10 Nineteen thousand and eighty-nine

11 Eight hundred three thousand and fifty

12 Seventy-five thousand and fifteen

13 Sixty thousand and nine

14 Five thousand and eighty-one

15 Twenty-five thousand three hundred

16 Three hundred two thousand eight hundred and three

17 Forty thousand two hundred

18 Fifty-three thousand and forty-four

19 Sixty-six thousand six hundred and three

20 Seven hundred thousand and two

Mathematics Module


TOPIC 1.1 (b) Write numbers in words INSTRUCTION

Write the following values in words.

No

Value In words

1 12 063 2 4 006 3 3 098 4 3 906 5 193 063 6 700 543 7 90 652 8 76 530 9 72 055

10 22 002

Mathematics Module


11 33 303 12 40 404 13 55 099 14 209 876 15 107 653 16 70 876 17 11 011 18 76 002 19 53 000 20 76 307

Mathematics Module


TOPIC 1.2 (a) Determine the place value of digits up to 1 000 000 INSTRUCTION Express the following decimals of a million in numerals.

No

Decimal of a million Numerals

Example 0.34 million 340 000

1 1.098 million

2 2.3 million

3 3.45 million

4 4.04 million

5 5.003 million

6 6.23 million

7 7.7 million

8 8.91 million

9 6.87 million

10 3.45 million

11 6.59 million

12 4.23 million

13 5.64 million

14 2.25 million

15 2.19 million

16 4.37 million

17 5.09 million

18 5.67 million

19 7.09 million

20 5.47 million

Mathematics Module


TOPIC 1.2 (b) Determine the place value of digits up to 1 000 000 INSTRUCTION

Express the following numerals in decimal of a million.

No

Numerals Decimal of a million

Example 340 000 0.34 million

1 250 000

2 200 000

3 6 908 000

4 7 689 000

5 5 768 000

6 786 000

7 675 000

8 6 574 000

9 5 769 000

10 540 000

11 6 590 000

12 4 680 000

13 6 859 000

14 560 000

15 789 000

16 5 768 000

17 6 890 000

18 7 200 000

19 3 589 000

20 567 000

Mathematics Module


TOPIC 1.2 (c) Determine the place value of digits up to 1 000 000 INSTRUCTION

Express the following fractions of a million to numerals.

No Fractions Numerals

1 41

million

2 51

million

3 52

million

4 241

million

5 321

million

6 7 43

million

7 541

million

8 852

million

9 243

million

10 101

million

11 641

million

12 5101

million

13 851

million

14 10 41

million

15 343

million

16 241

million

17 652

million

18 841

million

19 5 101

million

20 852

million

Mathematics Module


TOPIC 1.2 (d) Determine the place value of digits up to 1 000 000 INSTRUCTION

Express the following numerals int fractions of a million.

No

Numerals Fractions

1 900 000

2 200 000

3 400 000

4 3 500 000

5 5 500 000

6 5 250 000

7 6 500 000

8 750 000

9 500 000

10 6 500 000

11 1 750 000

12 5 250 000

13 3 250 000

14 5 200 000

15 4 250 000

16 1 400 000

17 5 750 000

18 2 500 000

19 3 100 000

20 9 250 000

Mathematics Module


TOPIC 1.2 (e) Determine the place value of digits up to 1 000 000 INSTRUCTION

State the place value and the digit value for the underlined digits.

No Numeral

Place Value

Digit value

1 25 567

2

34 578

3

20 098

4

129 008

5

234 872

6

109 455

7

3 409

8

2 308

9

3 456

10

23 478

Mathematics Module


11

45 785

12

67 543

13

45 760

14

436 789

15

560 763

16

359 796

17

459 205

18

345 299

19

4 496

20

96 587

Mathematics Module


TOPIC 1.2 (f) Determine the place value of digits up to 1 000 000 INSTRUCTION

State the place value and the digit value for the digit ‘4’

No Numerals

Place Value

Digit value

1 23 450

2

45 789

3

3 409

4

3 004

5

230 643

6

498 123

7

245 093

8

654 870

9

657 450

10

467 875

Mathematics Module


11

540 685

12

498 900

13

675 904

14

674 799

15

657 497

16

748 689

17

561 497

18

606 453

19

564 980

20

475 896

Mathematics Module


TOPIC 1.3 Develop number sense up to seven digits. INSTRUCTION

Form the biggest and the smallest number from the digits given.

No

Digits

Biggest number

Smallest numbers

1 3 , 4 , 0 ,6

2 1 , 2 , 1 , 3

3 0 , 2, 4 , 0

4 3 , 1 , 6 , 7

5 0 , 0 , 1 , 4

6 3 , 5 , 2 , 9

7 2 , 2 , 3 , 1

8 2 , 6 , 6 , 7

9 6 , 2 , 5 , 7

10 1 , 3 , 5 , 2

11 5 , 3 , 2 , 1 , 7

12 0 , 3, 0 , 1 , 0

13 1 , 2 , 3 , 1 , 2

14 2 , 4 , 6 , 0 , 4

15 9 , 9 , 2 , 0 , 8

16 3 , 9 , 8 , 0 , 1

17 1 , 1 , 1 , 1 , 2

18 3 , 3 , 4 , 4 , 3

19 6 , 6 , 3 , 3 , 4

20 7 , 3 , 6 , 4 , 6

Mathematics Module


TOPIC 1.4 Round off numbers to the nearest hundreds, thousands and ten thousands. INSTRUCTION Round off these numbers to the nearest hundreds, thousands and ten thousands.

No Number Hundred Thousand Ten thousand

1 23 451

2 45 451

3 16 409

4 79 004

5 230 643

6 498 123

7 245 093

8 356 432

9 564 987

10 437 982

11 346 231

12 145 504

13 235 240

14 237 459

15 347 230

16 344 564

17 564 791

18 453 670

19 674 921

20 453 221

Mathematics Module


ANSWERS WEEK 1

1.1 (a)

1. 200 002 2. 80 027 3. 61 007 4. 536 300 5. 204 050 6. 80 500 7. 702 016 8. 300 405 9. 47 806 10. 19 089 11. 803 050 12. 75 015 13. 60 009 14. 5 081 15. 25 300 16. 302 803 17. 40 200 18. 53 044 19. 66 603 20. 700 002

1.1 (b)

1.Twelve thousand and sixty-three 2. Four thousand and six 3. Three thousand and ninety-eight 4. Three thousand nine hundred and six 5. One hundred ninety-three thousand and sixty-three 6. Seven hundred thousand five hundred and forty-three. 7. Ninety thousand six hundred and fifty-two 8. Seventy-six thousand five hundred and thirty 9. Seventy-two thousand and fify- five 10. Twenty-two thousand and two 11. Thirty-three thousand

three

hundred and three 12. Forty thousand four hundred and four 13. Fifty-five thousand and ninety-nine 14. Two hundred nine thousand eight hundred and seventy-six 15. One hundred seven thousand six hundred and fifty-three 16. Seventy thousand eight hundred and fifty-three 17. Eleven thousand and eleven 18. Seventy six thousand and two 19. Fifty-three thousand 20. Seventy-six thousand three Hundred and seven.

1.2 (a)

1) 1 098 000 2) 2 300 000 3) 3 450 000 4) 4 040 000 5) 5 003 000 6) 6 230 000 7) 7 700 000 8) 8 910 000 9) 6 870 000 10) 3 450 000 11) 6 590 000 12) 4 230 000 13) 5 640 000 14) 2 250 000 15) 2 190 000 16) 4 370 000 17) 5 090 000 18) 5 670 000 19) 7 090 000 20) 5 470 000

1.2(b)

1. 0.25 million 2. 0.2 million 3. 6.908 million 4. 7.689 million 5. 5.768 million 6. 0.786 million 7. 0. 675 million 8. 6.574 million 9. 5.769 million 10. 0.54 million 11. 6.590 million 12. 4.68 million 13. 6.859 million 14. 0.56 million 15. 0.789 million 16. 5.768 million 17. 6.89 million 18. 7.2 million 19. 3.589 million 20. 0.567 million

1.2(c)

1. 250 000 2. 200 000 3. 400 000 4. 2 250 000 5. 3 500 000 6. 7 750 000 7. 5 250 000 8. 8 400 000 9. 2 750 000 10. 100 000 11. 625 000 12. 5 100 000 13. 8 200 000 14. 10 250 000 15. 3 750 000 16. 2 250 000 17. 6 400 000 18. 8 250 000 19. 5 200 000 20. 8 400 000

Mathematics Module


1.2 (d)

1. 109

million

2. 51

million

3. 52

million

4. 213 million

5. 215 million

6. 415 million

7. 216 million

8. 43. million

9. 21

million

10. 216 million

11. 431 million

12. 41. million

13. 413 million

14. 515 million

15. 414 million

16. 521 million

17. 435 million

18. 212 million

19. 1012 million

20. 419 million

1.2 (e) 1. ones 7 2. hundreds 500 3. tens 90 4. thousands 9000 5. hundred thousands 200 000 6. hundreds 400 7. thousands 3000 8. hundreds 300 9. tens 50 10. ten thousands 20 000 11. hundreds 700 12. thousands 7000 13. tens 60 14. thousands 6000 15. hundreds 700 16. hundred thousands 300 000 17. ones 5 18. ten thousands 40 000 19. tens 90 20. hundreds 500

1.2 (f) Place value Digit Value 1. hundreds 400 2. ten thousands 40 000 3. hundreds 400 4. ones 4 5. tens 40 6. hubdred thousands 400 000 7. ten thousands40 000 8. thousands 4000 9. hundreds 400 10. hundred thousands 400 000 11. ten thousands 40 000 12. hundred 400 000 13. ones 4 14. thousands 4000

15. hundreds 400 16. tens thousands 40 000 17. hundreds 400 18. hundreds 400 19. thousand 4000 20. hundred thousands 400 000

1.3 Biggest Smallest numbers numbers 1. 6430 3046 2. 3211 1123 3. 4200 2004 4. 7631 1367 5. 4100 1004 6. 9532 2359 7. 3221 1223 8. 7662 2667 9. 7652 2567 10. 5321 1235 11. 75321 12 357 12. 31 000 10 003 13. 32 211 32 211 14. 64420 20 446 15. 99 820 20 899 16. 98 310 10 389 17. 21 111 11 112 18. 44 333 33 344 19. 66 433 33 466 20. 76 643 34 667

Mathematics Module


1.4 Hundred

1. 23 500 2. 45 500 3. 16 400 4. 79 000 5. 230 600 6. 498 100 7. 245 100 8. 356 400 9. 565 000 10. 438 000 11. 346 200 12. 145 500 13. 235 200 14. 237 500 15. 347 200 16. 344 600 17. 564 800 18. 453 700 19. 674 900 20. 453 200

Thousand

23 00 45 000 16 000 79 000 231 000 498 000 245 000 356 000 565 000 438 000 346 000 146 000 235 000 237 000 347 000 345 000 565 000 454 000 675 000 453 000

Ten Thousand

20 000 50 000 20 000 80 000 230 000 500 000 250 000 360 000 560 000 440 000 350 000 150 000 240 000 240 000 350 000 340 000 560 000 450 000 670 000 450 000

Mathematics Module


WEEK : 2 THEME : WHOLE NUMBERS TOPIC : BASIC OPERATIONS WITH NUMBERS UP TO SEVEN DIGITS TIME : 3 HOURS OBJECTIVES At the end of this week, pupils should be able to: i. solve questions involving basic operations GENERAL INSTRUCTIONS

1.This section contains 5 parts. 2.Answer all the questions in this section.

WEEK : 2 THEME : 1.5 BASIC OPERATION TIME : 3 hours OBJECTIVES : At the end of this week the pupils should be able to

i. perform basic questions

Mathematics Module


TOPIC 2.1 Perform basic operation of addition. INSTRUCTION Solve the following questions in vertical forms.

1. 2345 + 637 =

2. 7654 + 238 = 3. 78 + 23 456 =

4. 87 654 + 2729 =

5. 765 + 23 718 = 6. 15 965 + 6028 =

7. 568 + 12 386 = 8. 76 123 + 9282 = 9. 8765 + 12 243 =

Mathematics Module


10. 85 271 + 6 137 =

11. 25 418 + 238 = 12. 4 478 + 23 456 =

13. 8 450 + 27 296 =

14. 7 654 + 23 718 =

15. 1 457 + 60 428 =

16. 7 568 + 2 386 =

17. 76 564 + 956 =

18. 48 765 + 2 243 =

Mathematics Module


TOPIC 2.2 Perform basic operation of substraction. INSTRUCTION

Solve the following questions in the vertical form

1. 2345 - 637 =

2. 7654 - 238 = 3. 22 347 - 3 456 =

4. 87 654 - 2729 =

5. 23 765 - 3 718 = 6. 15 965 - 6028 =

7. 24 568 - 12 386 = 8. 76 123 - 9282 = 9. 8765 - 2 243 =

Mathematics Module


10. 12 234 - 6371 =

11. 76 542 – 2 412 = 12. 23 378 - 3 456 =

13. 87 634 - 22 729 =

14. 42 765 - 23 718 = 15. 55 965 - 6 228 =

16. 35 568 - 4 386 = 17. 56 123 - 2 562 = 18. 38 765 - 4 243 =

Mathematics Module


TOPIC 2.3 Perform basic operations of multiplication. INSTRUCTION Solve the following questions in the vertical form

1. 2345 x 7 =

2. 7054 x 8 = 3. 7823 x 6 =

4. 8054 x 9 =

5. 765 x 23 = 6. 509 x 60 =

7. 568 x 12 = 8. 6 12 x 42 = 9. 1705 x 24 =

Mathematics Module


10. 22 345 x 7 =

11. 27 054 x 8 = 12. 71 823 x 6 =

13. 2 154 x 9 =

14. 654 x 13 = 15. 509 x 30 =

16. 568 x 22 = 17. 6 12 x 21 = 18. 1705 x 14 =

Mathematics Module


TOPIC 2.4 Perform basic operations of division. INSTRUCTION

Solve the following questions in the vertical form.

1. 2345 ÷ 7 =

2. 7656 ÷ 8 = 3. 7836 ÷ 6 =

4. 87 651 ÷ 9 =

5. 7656 ÷ 11 = 6. 714 ÷ 21 =

7. 5664 ÷ 32 = 8. 76 120 ÷ 22 = 9. 8733 ÷ 41 =

Mathematics Module


10. 24 352 ÷ 7 =

11. 17 656 ÷ 8 = 12. 17 836 ÷ 6 =

13. 87 651 ÷ 5 =

14. 7656 ÷ 12 = 15. 4 714 ÷ 21 =

16. 15 668 ÷ 21 = 17. 75 120 ÷ 12 = 18. 8733 ÷ 21 =

Mathematics Module


TOPIC 2.5 Problem solving involving basic operations INSTRUCTION

Solve the following problems

Question Answer

1. 3560 men take part in a marathon. There are 389 women more than men in the race. Find the total number of women.

2. The diagram shows the number of animals in farm X . What is the number of animals in the farm X ?

3. The diagram shows the numbers of pupils in SMY School. What is the total number of the pupils in SMY School ?

4. The table shows the number of stamps collected by two pupils

Pupils Number of stamps

Fahmi 2 874 Razak 916

How many stamps have both boys collected?

SMY

School Boy : 1 654 Girls : 1 953

291 Goats 12 986 Cows

Mathematics Module


Question Answer 5. There are 1350 pupils in the school. 799 are boys. How many of them are girls?

6. The table shows a number of animals in two zoos .

Zoo Number of animals KL 3 568

Melaka 1 287

What is the difference in the number of animals between KL Zoo and Melaka Zoo ?

7. Diagram 1 shows the number of Azi’s stamps. Milah has 237 stamps less than Azi . How many stamps does Milah have ?

8. Diagram 2 shows the number of marbles that Dali has in a box. He gives 557 marbles to Yem. How many marbles are left ? 9. There are 360 pencils in a box. How many pencils are there in 3 boxes ?

4 876

14 365 marbles

Mathematics Module


10. The diagram shows the number of oranges in a box.

Find the total number of oranges in 12 boxes.

11. The diagram shows the number of chocolates in a box. Diagram 4 How many chocolates are there in 9 boxes ?

12. A box contains 24 tins of drink. Find the number of tins in 12 boxes.

63 oranges

36 chocolates

Mathematics Module


Question Answer 13 352 participants are divided equally into 8 groups How many participants are there in each group ?

14. 1152 participants are divided equally into 9 camps. How many participants are there in a camp?

15. 14 064 mangosteens have been packed equally into 24 boxes. How many mangosteens are there in a box?

16 576 goats are distributed equally to 3 different farms P, Q and R. How many goats does each farm have?

Mathematics Module


ANSWER WEEK 2

2.1

1). 2982 2) 7892 3). 23 534 4) 90 383

5) 24 483 6) 21 993. 7) 12 954 8) 85 405 9) 21 008 10) 91 408 11) 25 656 12) 27 934 13) 35 746 14) 31 372 15) 61 885 16) 9954 17) 77 520 18) 51 008

2.2

1) 1708 2) 7416 3) 18 891 4) 84 925 5) 20 047 6) 9 937 7) 12 182 8) 66 841 9) 6 522 10) 5863 11) 74 130 12) 19 922 13) 64 905 14) 19 047 15) 49 737 16) 31 182 17) 53 561 18) 34 522

2.3 1. 16 415 11. 216 432 2. 56 432 12. 430 938 3. 46 938 13. 19 386 4. 72 486 14. 8 502 5. 17 595 15. 15 270 6. 30 540 16. 12 496 7. 6 816 17. 12 852 8. 25 704 18. 23 870 9. 40 920 10. 15 6415

2.4 1. 335 10. 3478 r 6 2. 957 11. 2207 3. 1306 12. 2972 r 4 4. 9739 13. 17 530 r 1 5. 696 14. 638 6. 34 15. 224 r 10 7. 177 16. 746 r 2 8. 3460 17. 6260 9. 213 18. 415 r 18

2.5 1)3949 9). 1 080 2)13 277 10.) 756 3)3 60711. 11) 324 4)3 790 12). 288 5)551 13). 44 6)2281 14). 128 7)4639 15). 586 8)13 808 16). 192

WEEK : 3

Mathematics Module


THEME : WHOLE NUMBERS TOPIC : MIXED OPERATIONS WITH NUMBERS UP TO SEVEN DIGITS TIME : 6 HOURS OBJECTIVES At the end of this week, pupils should be able to: i. compute questions involving mixed operations GENERAL INSTRUCTIONS


TOPIC 3.1 MIXED OPERATIONS – ADDITIONS AND SUBSTRACTION INSTRUCTION Solve the following questions in the vertical form.

Mathematics Module


1. 2345 + 637 - 2740 = 2. 7654 + 238 - 6090 =

3. 87 654 + 2729 - 79 570 =

4. 765 + 23 718 - 8 654 =

5. 568 + 12 386 - 7450 =

6. 76 123 + 9282 - 45 876 =

Mathematics Module


7. 2 342 + 632 - 2740 = 8. 8 654 + 138 - 6220 =

9. 8 321 + 2721 - 24 57 =

10. 1 765 + 21 718 - 4 654 =

11. 2 568 + 11 386 - 750 =

12. 16 123 + 4282 - 5 876 =

Mathematics Module


13. 12 342 + 532 - 4 740 = 14. 18 654 + 138 - 5220 =

15. 6 321 + 2 721 - 4 570 =

16. 4 765 + 5 718 - 4 654 =

17. 2 364 + 5 386 - 750 =

18. 26 121 + 3 282 - 5 876 =

Mathematics Module


19. 2345 - 637 + 3876 = 20. 7654 - 238 + 976 =

21. 87 654 - 2729 + 23 508 =

22. 76 523 - 718 + 4 590 =

23. 56 812 - 386 + 234 =

24. 76 123 - 9282 + 78 =

Mathematics Module


25. 12 345 - 837 + 3876 = 26. 17 654 - 238 + 976 =

27. 17 453 - 2529 + 13 508 =

28. 56 524 - 715 + 4 596 =

29. 46 812 - 586 + 1 234 =

30. 65 123 - 8 282 + 178 =

Mathematics Module


31. 2348 - 537 + 3576 = 32. 8 654 - 338 + 876 =

33. 32 654 - 2724 + 2 324 =

34. 56 421 - 818 + 5 420 =

35. 42 612 - 486 + 234 =

36. 56 123 - 8 282 + 478 =

Mathematics Module


TOPIC 3.2 Mixed operation – Addition, Substraction and Multiplication. INSTRUCTION Solve the following questions in the vertical form

1. 765 + 345 x 7 = 2. 987 + 54 x 8 =

3. 845 + 74 x 9 =

4. 234 + 75 x 23 =

5. 777 + 68 x 12 =

6. 765 + 61 x 42 =

Mathematics Module


7. 764 + 145 x 7 = 8. 986 + 52 x 8 =

9. 848 + 72 x 5 =

10. 534 + 76 x 21 =

11. 778 + 62 x 11 =

12. 766 + 21 x 12 =

Mathematics Module


13. 665 + 145 x 4 = 14. 887 + 52 x 3 =

15. 844 + 72 x 6 =

16. 734 + 71 x 13 =

17. 874 + 63 x 12 =

18. 865 + 51 x 32 =

Mathematics Module


19. 5400 - 345 x 7 = 20. 9081 - 754 x 8 =

21. 8054 - 854 x 9 =

22. 5022 - 765 x 3 =

23. 5600 - 58 x 12 =

24. 8766 - 72 x 32 =

Mathematics Module


25. 5432 - 245 x 7 = 26. 8071 - 654 x 5 =

27. 6054 - 654 x 5 =

28. 6022 - 565 x 3 =

29. 5543 - 158 x 12 =

30. 9766 - 62 x 12 =

Mathematics Module


31. 7400 - 245 x 3 = 32. 8081 - 732 x 8 =

33. 8034 - 832 x 9 =

34. 5032 - 565 x 3 =

35. 5578 - 98 x 12 =

36. 5466 - 71 x 32 =

Mathematics Module


TOPIC 3.3 Mixed operation – Addition and Division. INSTRUCTIONS Solve the following questions in the vertical form

1. 765 + 2345 ÷ 7 = 2. 987 + 7656 ÷ 8 =

3. 945 + 87 651 ÷ 9 =

4. 2300 + 7656 ÷ 11 =

5. 2543 + 5664 ÷ 32 =

6. 763 + 76 120 ÷ 22 =

Mathematics Module


7. 766 + 2445 ÷ 5 = 8. 988 + 7650 ÷ 5 =

9. 948 + 57 554 ÷ 7 =

10. 2364 + 10 549 ÷ 11 =

11. 2548 + 8664 ÷ 12 =

12. 768 + 75 120 ÷ 20 =

Mathematics Module


13. 787 + 2359 ÷ 7 = 14. 5 987 + 7640 ÷ 8 =

15. 985 + 14 610 ÷ 6 =

16. 7300 + 7632 ÷ 12 =

17. 2743 + 5859 ÷ 21 =

18. 863 + 72 120 ÷ 12 =

Mathematics Module


TOPIC 3.4 Mixed operation – Substraction and Division. INSTRUCTION Solve the following questions in the vertical form

1. 5200 - 2345 ÷ 7 = 2. 8300 - 7656 ÷ 8 =

3. 960 - 765 ÷ 9 =

4. 9 411 - 7656 ÷ 11 =

5. 6530 - 5664 ÷ 12 =

6. 94 200 - 17 472 ÷ 12 =

Mathematics Module


7. 81 200 - 2345 ÷ 7 =

8. 21 300 - 4 656 ÷ 4 =

9. 4 350 - 765 ÷ 5 =

10. 13 411 - 7 434 ÷ 6 =

11. 16 530 - 2 652 ÷ 12 =

12. 84 200 - 26 103 ÷ 21

Mathematics Module


13. 21 200 - 1344 ÷ 7 = 14. 21 300 - 5 656 ÷ 2 =

15. 5 360 - 765 ÷ 5 =

16. 33 411 - 3648 ÷ 12 =

17. 26 530 - 5655 ÷ 13 =

18. 84 200 - 36 120 ÷ 10 =

Mathematics Module


TOPIC 3.5 Mixed operation – Problem Solving Questions. INSTRUCTION

Read and solve the following questions.

Questions Answers 1. There are 3560 male participants. The female participants are 389 more than the male participants. Calculate the total of participants in the competition ?

2. Amin has 3450 stamps. Ben has 750 stamps less than Amin. Calculate the total number of stamps both of them have.

3. The enrolment of SKP is 2 times the total of SKM. How many pupils are there in SKP ?

4. Faiz bought 3 packets of chocolates. There are 80 chocolates in each packet. He gives 34 chocolates to his brother. How many chocolates does Faiz have left.

SKM Boys : 345 pupils Girls : 360 pupils

Mathematics Module


Question Answer 5. The enrolment of boys in a school is 799. The number of girls are 80 pupils less than the boys. Calculate the total number of pupils in the school?

6. The diagram shows the number of animals in a farm . The number of buffaloes are 800 less than the total number of cows and goats. How many buffaloes are there ?

7. The diagram shows the number of stamps in Azi’s collection. Milah has 237 stamps less than Azi. How many stamps do the both of them have ?

8.The diagram shows the number of marbles Dali has. He gives 257 marbles to Yem and 89 marbles to Zam. How many marbles does he have left?

234 cows

7 634 goats

1387 stamps

1190 marbles

Mathematics Module


ANSWERS WEEK 3

3.1

1. 242 2. 1 802 3. 10 813 4. 15 829 5. 5 504 6. 39 529 7. 234 8. 2572 9. 8585 10. 18829 11. 13204 12. 14529 13. 8134 14. 13572 15. 4472 16. 5829 17. 7000 18. 23527 19. 5584 20. 8392 21. . 10 8433 22. . 80 395 23. . 56 660 24. . 66 919 25. . 15 384 26. . 18 392 27. . 28 432 28. . 60 405 29. 47 460 30. 57 019 31. 5387 32. 9192 33. 32 254 34. 61 023 35. 42 360 36. 48 319

3.2

1. 3180 19. 2985 2. 1419 20. 3049 3. 1511 21. 368 4. 1959 22. 2727 5. 1593 23. 4904 6. 3327 24. 6462 7. 1779 25. 3717 8. 1402 26. 4801 9. 1208 27. 2784 10. 2130 28. 4327 11. 1460 29. 3647 12. 1018 30. 9022 13. 1245 31. 6665 14. 1043 32. 2225 15. 1276 33. 546 16. 1657 34. 3337 17. 1630 35. 4402 18. 2497 36. 3194

3.3

1. 1100 2. 1944 3. 10684 4. 2996 5. 2720 6. 4223 7. 1255 8. 2518 9. 9170 10. 3323 11. 3270 12. 4524 13. 1124 14. 6942 15. 3420

16. 7936 . 17. 3022 18. 6873

3.4

1) 4865 2) 7342 3) 875 4) 8715 5) 6058 6) 92 744 7) 80 865 8) 20 136 9) 4197 10) 12 172 11) 16 309 12) 82 957 13) 21 008 14) 18 472 15) 5207 16) 33 107 17) 26 095 18) 80 588

3.5

1. 7509 2. 6150 3. 1410 4. 206 5. 1518 6. 7068 7. 2537 8. 844

Mathematics Module


Types of questions

1.5 Name and write proper fraction

1.6 Write an equivalent fraction for 32 .

2.3 Convert proper fraction to equivalent

fraction. Simplify 84 .

2.4 Convert improper fractions 35 to a

mixed number an vice verca

2.6 41 of 36 is

73 × 497 =

2.7 Dividing fraction with

fraction 63 ÷

13

2.5.1 Add proper fraction with proper fraction

21 +

31 =

2.5.2 Subtraction

32 -

41 =

1.1.4 Add/Sub mix number with proper fraction with the same denominator

2.1 State the fraction for the shaded region. 2.1 Write the fraction of the letter

A compared to the number of the letters in the phrase.

PLEASE WALK

Mathematics Module


WEEK : 4 THEME : FRACTIONS TOPIC : ADDITION AND SUBSTRACTION TIME : 5 HOURS OBJECTIVES At the end of this week, pupils should be able to: 1. name and convert fractions into i. proper fractions or improper fractions ii. equivalent fractions iii. simplest form 2. adding and substracting fractions of different denominators. GENERAL INSTRUCTIONS


Mathematics Module


TOPIC 4.1 Proper fractions Instruction

Write the following Proper Fractions in words :

No. Fractions Words

1 34

2 78

3 23

4 45

5 37

6 49

7 58

8 67

9 61

10 8

3

11 9

2

12 9

1

13

52

14

65

15

41

16

81

17

109

18

103

19

107

20

101

Mathematics Module


TOPIC 4.2 Proper fractions Instruction

Convert the following Proper Fraction ito its equivalent fraction : No. Proper Fractions Equivalent Fractions

1 34

2 78

3 23

4 45

5 37

6 49

7 58

8 67

9 61

10 8

3

11 9

2

12 9

1

13

52

14

65

15

43

16

81

17

109

18

103

19

107

20

101

Mathematics Module


TOPIC 4.3 Fractions ; Simplest Form Instruction

Convert the following fraction into its simplest form. No. Fractions Simplest Form

1 86

2 128

3 64

4 106

5 146

6 166

7 104

8 144

9 184

10 21

6

11 14

8

12 16

8

13

188

14

1210

15

1410

16

1610

17

1810

18

1612

19

4518

20

4214

Mathematics Module


TOPIC 4.4 Improper Fractions with Mixed Numbers Instruction

Convert the following Improper Fractions to Mixed Numbers : No. Improper Fractions Mixed Numbers

1 27

2 37

3 6

14

4 7

12

5 9

14

6 322

7 3

13

8 67

9 45

10 3

5

11 4

7

12 2

13

13

720

14

213

15

812

16

915

17

817

18

610

19

79

20

59

Mathematics Module


TOPIC 4.5 Improper Fractions and Mixed Numbers Instruction

Convert the following Mixed Numbers to Improper Fractions : No. Mixed Numbers Improper Fractions

1 121

2 231

3 461

4 271

5 591

6 532

7 131

8 365

9 741

10 1

32

11 6

43

12 9

21

13 1

72

14 4

51

15 7

81

16 2

95

17 5

87

18 7

61

19 1

74

20 4

54

Mathematics Module


TOPIC 4.6 Fractions : Addition and Substraction Instruction

Solve the following questions. Show the steps.

No. Question Working Steps Answers

1 78 +

21

2 61

+ 23

3 25 +

21

4 37 +

41

5 21

+ 89

6 58 +

41

7 67 +

41

8 61

+ 35

9

23 +

61

10 25 +

32

11 21

- 61

Mathematics Module


No. Question Working Steps

Answers

12 31

- 61

13

12 -

83

14

14 -

81

15 6

5 -

95

16 8

5 - 12

17

98

- 31

18 5

1 -

101

19 5

3 -

101

20 10

9 -

54

Mathematics Module


ANSWERS WEEK 4

4.1

1 three over four 2 seven over eight 3 two over three 4 four over five 5 three over seven 6 four over nine 7 five over eight 8 six over seven 9 one over six 10 three over eight 11 two over nine 12 one oner nine 13 two over five 14 five over six 15 one over four 16 one over eight 17 nine over ten 18 three over ten 19 seven over ten 20 one over ten

Note: Accept answers In these forms: Three Quarters, Seven eights…etc

4.2

1. 86

, 129

, 1612

2. 1614

, 2421

, 3228

3. 64

, 96

, 128

4. 108

, 1512

, 2016

5. 146

, 219

, 2012

6. 188

, 2712

, 3616

7. 1610

, 2415

, 3220

8. 1412

, 2118

, 2824

9. 122

, 183

, 244

10. 166

, 249

, 3212

11. 184

, 276

, 368

12. 182

, 273

, 364

13. 104

, 156

, 208

14. 1210

, 1815

, 2420

15. 86

, 129

, 1612

16. 162

, 243

, 324

17. 2018

, 3027

, 4036

18. 206

, 309

, 4012

19. 2014

, 3021

, 4028

20. 202

, 303

, 404

Note: Accept any equivalent answers.

4.3

1. 43 11.

74

2. 32 12.

21

3. 32 13.

94

4. 53 14.

65

5. 73 15.

75

6. 83 16.

85

7. 52 17.

95

8. 72 18.

43

9. 92 19.

52

10. 72 20.

31

Mathematics Module


4.4

1. 321 11. 1

34

2. 231 12. 6

21

3. 231 13. 2

76

4. 175 14. 6

21

5. 195 15. 1

21

6. 731 16. 1

32

7. 431 17. 2

81

8. 161 18. 1

32

9. 141 19. 1

72

10. 132 20. 1

54

4.5

1. 23 11.

427

2. 37 12.

219

3. 625 13.

79

4. 7

15 14. 521

5. 946 15.

857

6. 3

17 16. 923

7. 34 17.

847

8. 623 18.

643

9. 429 19.

711

10. 35 20.

524

4.6

1. 183 11.

31

2. 65 12.

61

3. 109 13.

81

4. 2819 14.

81

5. 1187 15.

185

6. 87 16.

81

7. 1283 17.

95

8. 3023 18.

101

9. 65 19.

21

10. 1151 20.

101

Mathematics Module


WEEK : 5 THEME : FRACTIONS TOPIC : FOUR OPERATIONS TIME : 6 HOURS OBJECTIVES At the end of this week, pupils should be able to: 1. perform the four operations involving fractions of different denominations 2. solve problems in daily situations. GENERAL INSTRUCTIONS


Mathematics Module


TOPIC 5.1 Fractions ; Addition and Substraction Instruction

Solve the following questions . No. Question Working Steps Answers

1 578 + 38

2 223 + 23

3 25 + 14

5

4 37 + 65

7

5 49 + 48

9

6 65

8 - 78

7

651

- 53

8

578 - 38

9

241

- 34

10

452

- 45

Mathematics Module


TOPIC 5.2 Addition and Substraction of Fractions with Different Denominators Instruction

Add /subtract mixed number with Proper Fraction(Different denominator): Solve the questions


Answer

1 578 +

21

2 223 +

41

3 31

+ 145

4 21

+ 657

5 41

+ 489

6 658 -

21

7

651

- 43

8

578 -

101

9

241

- 52

10

452

- 31

Mathematics Module



Answers

11 578 + 4

21

12 22

3 + 241

13 32

5 + 141

14 43

7 + 631

15 54

9 + 432

16 65

8 + 361

17 26

7 + 821

18 74

5 +2 43

19

3 13 + 152

20

314 + 2

76

21

3 13 – 152

Mathematics Module



Answers

22

31

4 – 231

23 22

5 – 141

24 2 16 – 1

31

25

437 – 2

32

26 43

8 – 171

27 52

9 – 243

28

221

– 141

29

2 16 – 151

30

437 – 2

32

Mathematics Module


TOPIC 5.3 Fractions Multiplication Instruction

Solve the following questions.

Example : 23 of 4812

= 23 × 4812

= 2 × 1604 = 3 208

1. 34 of 648 2. 58 of 4816

3. 35 of 3600

4. 16 of 3144

5. 27 of 2359

6. 29 of 4851

7. 78 of 1344 8. 25 of 1040

1 604

Mathematics Module


Example: 23 of 4.5 ℓ

Unit conversion 4.5 l = 4500 ml

23 of 4500 ml

= 23 × 4500 ml

= 2 × 1500 ml = 3000 ml

9. 34 x 6.7 km 10. 58 x 4.8 kg

11. 35 x 3.6 m

12. 16 x 2.16kg 13. 27 x 2.1 ℓ

14. 29 x 4.5 km

15. 78 x 2.4 kg 16. 25 x 1.04 ℓ

Mathematics Module


TOPIC 5.4 Fractions Division Instruction Solve the following questions.

21 ÷

41

=

41 ÷

52

=

32 ÷

72

=

71 ÷

51

=

52 ÷

51 =

52 ÷

71 =

73 ÷

41 =

91 ÷

52 =

65 ÷

31 =

61 ÷

51 =

1 6

2 7

3 8

4 9

5 10

Mathematics Module


11

43 ÷ 6 =

16

91 ÷ 9 =

12

51 ÷ 4 =

17

73 ÷ 8 =

13

43 ÷ 20 =

18

83 ÷ 4 =

14

65 ÷ 10 =

19

43 ÷ 12 =

15

51 ÷ 12 =

20

103 ÷ 6 =

Mathematics Module


TOPIC 5.5 Fractions Problem Solving involving Multiplication Instruction

Solve the following problems.

Example:

Yap has 50 marbles. 25 of them are yellow,

16 are black and the rest are blue. How many marbles are blue?

= 35 × 50

= 30 - 16 Blue marbles = 14

1. 54

of 30 boys wear spectacles.

How many of them wear spectacles?

2. 83

of 40 pupils in a classroom are boys.

How many boys are there in the classroom ?

3. 72

of 42 cars are Kancil.

Find the total number of Kancil cars?

4. 83

of 32 pupils go to school by bus.

How many pupils go to school by bus?

5. There were 32 candidates in an

examination. 83

of them failed.

How many of them failed?

Mathematics Module


6. There are 48 chairs in a hall. 83

of them

are plastic chairs. Find the total number of plastic chairs?

7. 54

of 30 boys wear spectacles.

How many of them are not wearing spectacles?

8. 72

of 42 cars are Kancil. The rest are

Iswara . How many Iswara cars are there?

9. There are 40 pupils in a class.

83

of them are girls.

Find the total number of boys in the class?

10. There are 45 chairs in a hall. 53

of them

are plastic chairs. The rest are wooden chairs. How many wooden chairs are there in the hall?

11. 83

of 32 pupils go to school by bus

while the others walk to school. How many of them walk to school?

ANSWERS WEEK 5

5.1

1. 641

2. 331

3. 251

4. 771

5. 531

6. 543

7. 553

8. 521

9. 121

10. 353

5.2

1. 683 11. 10

83

2. 21211 12. 4

1211

3. 2152 13. 4

2013

4. 7143 14. 10

2116

5. 5365 15. 10

91

6. 681 16. 9

2419

7. 5209 17. 11

145

8. 54031 18. 10

2011

9. 12017 19. 4

1511

10. 4151 20. 6

283

21 11514

22 111211

23 1203

24. 65

25. 12116

26. 35613

27. 23617

28. 1 41

29. 3029

30. 12116

Mathematics Module


5.3 1 486 2 3010 3 2160 4 524 5 674 6 1078 7 1176 8 416 9 5025 m 10 3000 g 11 216 cm 12 360 g 13 600 ml 14 l000 m 15 2100 g 16 416 ml

5.4

1 2

2 231

3 2

4 175

5 221

6. 85

7. 75

8. 254

9. 185

10. 65

11. 81

12. 201

13. 803

14. 121

15. 601

16. 811

17. 563

18. 323

19. 161

20. 201

5.5

1. 24 2. 15 3. 12 4. 12 5. 12 6. 18

7. 6 8. 30 9. 25 10. 18 11. 20

Mathematics Module


Mathematics Module


3.5 Devide decimals less than 10 3.5.1 0.21 ÷ 7 = 3.5.2 A piece of rope measuring

20.7 m has been cut into 6 parts of the same length. What is the length of each part?

3.4 Multiply decimals less than 10 with one digit

3.4.1 3.47 × 6 = 3.4.2 A packet of sugar weighs

1.25 kg. What is the weight

3.2.1 Add whole numbers of decimals with decimals up to 3 decimals places 4.27 + 12 =

3.2.2 What is the total of 38.8 and 7.27? 3.2.3 5.09 + 17.6 =

Types of questions

3.3 Subtract decimals from decimal

or whole number 3.3.1 73.1 − 8.04 = 3.3.2 What must be subtracted from 8.6 to make 3.47? 3.3.3 7.07 − 3 =

2.1.1 Convert / express fraction of tenths, hundredths, thousandths into decimals and vice – versa

2.1.2 Express 2.7 in fraction

Mathematics Module


WEEK : 6 THEME : DECIMALS TOPIC : BASIC OPERATIONS WITH DECIMALS TIME : 5 HOURS OBJECTIVES At the end of this week, pupils should be able to: 1. convert decimals to fractions and vice versa. 2. solve questions involving basic operations. GENERAL INSTRUCTIONS


Mathematics Module


TOPIC 6.1 Convert / Express Fractions of Tenths, Hundredths and Thousandths in Decimals or vice versa Instruction Convert the following decimals into fractions of tenths, hundredths and thousandths.

Fraction No

Decimals Tenth Hundredth Thousandth

1 0.2 2 0.04 3 1.6 4 3.081 5 8.14 6 0.008 7 2.09 8 4.432 9 3.25

Mathematics Module


10 3.006 11 5.701 12 8.001 13 1.02 14 0.05 15 3.917 16 0.132 17 3.03 18 4.019 19 8.808 20 0.003

Mathematics Module


TOPIC 6.2 Convert / Express Fractions of Tenths, Hundredths and Thousandths in Decimals or vice versa Instruction

Convert the following fractions of tenths, hundredths, thousandths into decimals.

No

Fraction Decimals

1 100

1

2

10001

3

103

4 100

3

5

10005

6 4

107

7 7

1007

8 9

10007

9 2

104

10

610011

11

71000

11

12

1012

13

2

1001

Mathematics Module


TOPIC 6.3 Convert / Express Fractions of Tenths, Hundredths and Thousandths in Decimals or vice versa Instruction

Convert the following fractions of tenths, hundredths, thousandths into decimals.

No. Questions 1 decimal place 2 decimal places

3 decimal places

Exp

1.23465 1.2 1.23 1.235

1 0.09876 2 12.2345 3 11.9876 4 9.075630 5 12.09542 6 0.087642 7 0.12647 8 0.16482

Mathematics Module


9 11.20856 10 21.0897 11

32.0987

12 45.6547

13 65.8769

14 12.5432

15 56.9076

Mathematics Module


TOPIC 6.4 Whole Numbers or Decimals with Decimals up to 3 decimal places. Instruction Answer the following questions.

1 23.945 + 6.37 =

2. 76.545 + 23.8 =

3 6.054 + 27 =

4. 76.4 + 8 =

5. 5.68 + 12.386 =

6. 76.123 + 8.2 =

7. 27.006 + 20 = 8. 6 + 1.23 =

Mathematics Module


9. 23 + 6.374 =

10. 76.76 + 23.824 =

11 21.293 + 3.15 =

12. 76 .46 + 8.2 =

13. 15.5 + 12.386 =

14. 23.98 + 8.209 =

15 9.3 + 71.893 =

16 25 + 7 .345 =

Mathematics Module


TOPIC 6.5 Substract Decimals from Decimals or Whole Numbers Instruction

Solve the following questions 1 3.945 – 0.37 =

2. 76.545 – 23.8 =

3 65.01 – 27.07 =

4. 23.41 – 8.546 =

5. 45.68 – 12.386 =

6. 76.01 – 8.2 =

7. 27.006 – 18.51 = 8. 60.016 – 10.23 =

Mathematics Module


9. 23 – 6.374 =

10. 76 – 23.824 =

11 21.2 – 3.158 =

12. 45 – 8.274 =

13. 15.5 – 12.386 =

14. 23.9 – 8.209 =

15 95 – 71.893 =

16 251 – 7 .345 =

Mathematics Module


TOPIC 6.6 Multiply Decimals less than 10 with One Digit Instruction

Multiply the following decimals 1. 3.405 × 3 =

2. 6.54 × 5

3 1.054 × 4 =

4. 6.503 × 7 =

5. 5.68 × 9 =

6. 6.023 × 6 =

7. 5.09 x 7

8. 6.543 x 5

Mathematics Module


9. 1.709 × 3 =

10. 7.935 × 7 =

11. 1.054 × 4 =

12. 6.503 × 7 =

13. 8.876 × 4 =

14. 6 x 5.023 =

15. 8 x 0.864 16. 7 x 5.543

Mathematics Module


TOPIC 6.7 Divide Decimals less than Ten Instruction

Divide the following decimals . 1. 3.015 ÷ 5 =

2. 6.51 ÷ 3 =

3 1.05 ÷ 5 =

4. 6.307 ÷ 7 =

5. 9.36 ÷ 8 =

6. 6.048 ÷ 9 =

7. 3.245 ÷ 5

8. 1.014 ÷ 6

Mathematics Module


9. 2.709 ÷ 3 =

10. 4.932 ÷ 9 =

11. 7.05 ÷ 5 =

12. 6.013 ÷ 7 =

13. 2.504 ÷ 8 =

14. 4.536 ÷ 6 =

15. 9.304 ÷ 4

16. 7 .218 ÷ 9

Mathematics Module


TOPIC 6.8 Mixed Operations involving Decimals Instruction Solve the following questions

Example 23.45 — 17.634 + 45 = Solve from the left 23 . 450 - 17 . 634 5 . 816 + 45 . 000 50 . 816

1. 76 — 34.76 + 23.876 =

2. ( 76.5 + 123.987 ) — 189.72 =

3. 36.67 — ( 17.89 + 18 ) =

4. ( 55 — 34.987 ) + 12.88 =

5. 44.9 + 57 — 99.023 =

6. 67 + 34.78 — 24.009 =

7. 74.9 — 33.276 + 41.624 =

Mathematics Module


TOPIC 6.9 Convert / Express Fractions In Decimals Instruction Solve the following questions

No. Questions Convert fraction to decimal

Answers

Exp 1 910 + 2 71

100 1 910 = 1.9 , 2 71

100 = 2.71

1.9 + 2.71 4.61

1 2 710 + 2 31

100

2 3 7131000 + 2 71

100

3 2 97100 + 3 .3

4 4.003 + 3 310

5 2 71000 + 0.077

6 5.1 — 4 17100

7

1056 — 2.045

8

7.9 — 100

81

9

1000

86 — 0.078

10 5.01 —

10001521

Mathematics Module


TOPIC 6.10 Basic Operations with Decimals Instruction

Answer the following questions. Example 23.945 + 6.37 = 23.945 + 6.370 30.315

1. 76.545 — 23.8 =

2 6.054 × 27 =

3. 76.4 ÷ 8 =

4. 5.68 + 12.386 =

5. 76.123 — 8.2 =

6. 27.006 × 20 =

7. 1.23 ÷ 6 =

Mathematics Module


TOPIC 6.11 BasicOperations with Decimals Instruction

Answer the questions. State the answers with to 1 decimal place.

Example 23 ― 6.374 = 23.000 ― 6.374 16.626 1 decimal place = 16.6

1. 76.76 + 23.824 =

2 21.293 × 5 =

3. 76 .46 ÷ 8 =

4. 15.5 ― 12.386 =

5. 23.98 + 8.209 =

6 71.893 × 9 =

7 20.755 ÷ 7 =

Mathematics Module


TOPIC 6.12 Basic Operations with Decimals Instruction

Answer the following questions. State the answers to the nearest tens.

Example 23.405 × 37 = 23 . 407 × 37 163 849 702 210 866 .059 Round off to the nearest tens = 870

1. 6.54 × 18 =

2 1.054 × 39 =

3. 6.503 × 47 =

4. 5.68 × 12 =

5. 6.023 × 31 =

Mathematics Module


ANSWERS WEEK 6 6.1

1. 102

2. 104

3. 1106

4. 31000

3

5. 810014

6. 1000

8

7. 2100

9

8. 41000432

9. 310025

10. 31000

6

11. 51000701

12. 81000

1

13. 1100

2

14. 100

5

15. 31000917

16. 1000132

17. 3100

3

18. 410019

19. 81000808

20. 1000

3

6.2 1. 0.01 2. 0.001 3. 0.3 4. 0.03 5. 0.005 6. 4.7 7. 7.07 8. 9.007 9. 2.4 10. 6.11 11. 7.011 12. 2.1 13. 2.01 6.3 1. 0.1, 0.10, 0.099 2. 12.2, 12.23, 12.235 3. 12.0, 11.99, 11.988 4. 9.1, 9.08, 9.076 5. 12.1, 12.01, 12.095 6. 0.1, 0.09, 0.088 7. 0.1, 0.13, 0.126 8. 0.2, 0.16, 0.165 9. 11.2, 11.21, 11.209 10. 21.1, 21.09, 21.090 11. 32.1,32.10, 32.099 12. 45.7, 45.65, 45.655 13. 65.9, 65.88, 65.877 14. 12.5, 12.54, 12.543 15. 56.9, 56.91, 56.908

6.4 1. 30.315 2. 100.345 3. 33.054 4. 84.4 5. 18.066 6. 84.323 7. 47.006 8. 7.23 9. 29.374 10. 100.584 11. 24.443 12. 84.66 13. 27.886 14. 32.189 15. 81.193 16. 32.345 5.5 1. 3.575 2. 52.745 3. 37.94 4. 14.864 5. 33.294 6. 67.81 7. 8.496 8. 49.786 9. 16.626 10. 52.176 11. 18.042 12. 36.726 13. 3.114 14. 15.691 15. 23.107 16. 243.655

Mathematics Module


6.6

1. 10.215 2. 32.7 3. 4.216 4. 45.521 5. 51.12 6. 36.138 7. 35.63 8. 32.715 9. 5.127 10. 55.545 11. 4.216 12. 45.521 13. 35.04 14. 30.138 15. 6.912 16. 38.801 6.7 1. 0.603 2. 2.17 3. 0.21 4. 0.901 5. 1.17 6. 0.672 7. 0.649 8. 0.169 9. 0.903 10. 0.548 11. 1.41 12. 0.859 13. 0.313 14. 0.756 15. 2.326 16. 0.802

6.8

1. 65.116 2. 10.767 3. 0.78 4. 32.893 5. 2.877 6. 77.771 7. 83.248

6.9

1. 5.01 2. 6.423 3. 6.27 4. 7.303 5. 2.084 6. 0.93 7. 4.455 8. 6.82 9. 5.93 10. 3.858

6.10

1. 50+2+0.7+0.04+0.005 2. 100+60+3+0.4+0.05+0.008 3. 9+0.5+0.05 4. 10+8+0.06+0.006 5. 60+7+0.9+0.02+0.003 6. 500+40+0.1+0.02 7. 0.2+0.005

6.11

1. 100.6 2. 106.5 3. 9.6 4. 3.1 5. 32.2 6. 647.0 7. 3.0

6.12

1. 120 2. 40 3. 310 4. 70 5. 190

Mathematics Module


Mathematics Module


4.2.1 RM5.75 + 95 sen

4.2.2 RM10 –

RM2.80

4.2.3 RM5.65 x

Types of questions

4.2.1 RM7 + RM4.35 - 50 sen = 4.2.2 RM48 - 75 sen + RM10.30 =

1 Ringgit

What is the total amount shown?

3.1.1 Diagram shows an amount of money.

Items Price per unit File RM1.45

Manila card 60 sen What is the total price for one file and 5 pieces of manila cards?

4.4 Table shows the price for two items.

4.3.2 The price of a story book is RM5.60. What is the price of 6 story books?

WEEK : 7 THEME : 4.0 MONEY SUGGESTED TIME : 8 hours OBJECTIVES :

Mathematics Module


WEEK : 7

THEME : MONEY

TOPIC : Money up to RM100 000

TIME : 8 HOURS

OBJECTIVES

At the end of this week, pupils should be able to:

i) compute basic operations involving RM and sen

ii) compute mixed operation involving RM and sen

iii) solve the problems in daily situation

GENERAL INSTRUCTIONS

1 This section contains 8 parts.

2 Answer all the questions in this section.

Mathematics Module


Topic : 7.1 Write the amount of money in words or numerals Instruction Write the amount of money given in numerals.

No

In words In numeral

1

Two ringgit and thirty five sen 2 Eighty ringgit and seventy sen 3 Six hundreds ringgit and five sen 4 Five hundreds sixty ringgit and ten sen 5 Two thousand ringgit and forty sen

6 Eighty ringgit and ninety five sen 7 Seven hundred twenty ringgit and eigty sen 8 Three hundred forty ringgit and fifty five sen 9 Forty ringgit and eighty five sen

10 Nineteen ringgit and ninety sen

Mathematics Module


11 Eight hundred three ringgit and fifteen sen 12 Seventy ringgit and fifty sen 13 Sixty ringgit and sixty five sen 14 One thousand ringgit and seventy five sen 15 Twenty ringgit and twenty sen 16 Three hundred twenty ringgit and sixty sen

17

Four hundred two ringgit and ten sen

18 Five hundred forty ringgit and forty sen

Mathematics Module


Topic : 7.1 (b) Write the amount of money in words or numerals Instruction :

Write the amount given in words

No Amount In words

1

RM12 .05 2 RM40.60 3 RM3.95 4 RM612.10 5 RM3700.40 6 RM77. 05 7 RM97.60 8 RM176. 50 9 RM72. 55

10 RM220.20

Mathematics Module


11 RM303.30 12 RM400. 40 13 RM55. 75 14 RM205.80 15 RM107.70 16 RM770.85

17

RM1100.10

18

RM7600.20

19.

RM5300.50

20

RM706.30

Mathematics Module


Topic : 7.2 (a) Perform basic questions of addition Instruction:

Calculate the amount of money given .

1

2

3

4

5

6

What is the total amount of money shown above?






Mathematics Module


Topic : 7.2(b) Perform basic operation of addition Instruction

Calculate the total amount of money given. 1. RM23.45 + RM363.75 =

2. RM576.55 + RM23.80 =

3 RM6.65 + RM27.35 =

4. RM76.55 + RM238 .70 =

5. RM25.60 + RM142.85 =

6. RM476.15 + RM8.25 =

7. RM76.85 + RM881.35 = 8. RM35.45 + RM541.85 =

Mathematics Module


Topic : 7.3 Round off the amount of money Instruction:

Round off the amount of money to the nearest ringgit

No Question Answer No

Question Answer

1 RM23. 55 11 RM253. 85 2 RM3.45 12 RM663.40 3 RM2.20 13 RM352.10 4 RM10.60 14 RM150.90 5 RM4.05 15 RM384.05 6 RM10.95 16 RM140.75 7 RM3.40 17 RM343.30 8 RM2.70 18 RM452.80 9 RM3.45 19 RM353.05

10 RM4.75 20 RM304.15

Mathematics Module


21 RM23. 65 31 RM243. 25 22 RM3.15 32 RM376.70 23 RM21.05 33 RM211.35 24 RM17.55 34 RM137.45 25 RM40.25 35 RM460.65 26 RM50.05 36 RM570.85 27 RM30.95 37 RM360.15 28 RM12.35 38 RM152.30 29 RM33.85 39 RM353.60 30 RM54.25 40 RM554.20

Mathematics Module


Topic : 7.4 Perform the basic operations of subtraction Instruction :

Find the difference for the following questions 1. RM23 ― RM6.35 =

2. RM80 ― RM23.80 =

3 RM365 ― RM121.20 =

4. RM700 ― RM523 .75 =

5. RM150.75 ― RM12.80 =

6. RM283.10 ― RM58.20 =

7. RM150.50 ― RM78.65 =

8. RM40.70 ― RM17.65 =

Mathematics Module


Topic : 7.5(a) Perform the mixed operations of addition and subtraction Instruction:

Solve the following questions. 1. RM4 + 70 sen ― 90 sen =

2. RM2.80 ― RM2 + 60 sen =

3. RM5.60 + 55 sen ― RM3.15 =

4. RM8 ― 65 sen + RM2.75 =

5. RM7 + 70 sen ― RM3.90=

6. RM2.80 ―RM1. 90 + 75 sen =

Mathematics Module


Topic : 7.5(b) Perform mixed operation of addition and subtraction Instruction :

Calculate the total amount of money given. 1. RM23.45 + RM63 + RM102.90 =

2. RM6.55 + RM27.20 + RM620 =

3 RM5.60 + RM312.35 + 95 sen =

4. RM345 + RM24.85 + RM7.95 =

5. RM 12 + RM 3.90 + 90 sen =

6. RM 120 - RM 70 - RM 15.90 =

7. RM 389 - RM 1.55 - RM 80 =

8. RM 98. 60 - RM 15 - 85 sen=

Mathematics Module


Topic : 7.6 (a) Perform basic operation of multiplication Instruction:

Find the product in RM. 1. RM23.45 × 7 =

2. RM6.50 × 8 =

3 RM 1.05 × 9 =

4. RM6.50 × 7 =

5. RM5.60 × 12 =

6. RM6.05 × 31 =

7. RM7.25 × 41 =

8. RM9.90 × 50 =

Mathematics Module


Topic : 7.6(b) Perform basic operation of multiplication Instruction

Find the answers for the following questions . 1. 45 sen × 7 =

2. 55 sen × 8 =

3 95 sen × 9 =

4. 65 sen × 6 =

5. 35 sen × 13 =

6. 40 sen × 41 =

7. 80 sen × 23 =

8. 75 sen × 74 =

Mathematics Module


Topic : 7.6(c) Perform basic operation of multiplication Instruction:

Find the answers for the following questions

No Question Answer

1

23 × RM24

2

12 × RM260

3

35 × RM80.80

4

12 × RM1234

5

47 × RM346.50

6

67 × RM674.10

7

13 × RM604.20

8

14 × RM2500

9

79 × RM265.50

10

89 ×RM113.40

Mathematics Module


No Question Answer

11

20% × RM60

12

50% × RM765.40

13

60% ×RM640

14

65% ×RM520

15

15% × RM840

16

80% ×RM888

17

40% × RM330

18 70% × RM1200

19

25% × RM45

20

90% × RM350

Mathematics Module


Topic : 7.7 Perform basic operation of division Instrucion:

Find the quotient 1. RM123.60 ÷ 8 =

2. RM270.55 ÷ 7 =

3 R,M1456.20 ÷ 9 =

4. RM2076.30 ÷ 6 =

5. RM2198.50 ÷ 5 =

6. RM1340.60 ÷ 4 =

Mathematics Module


7. RM235.20 ÷ 12 =

8. RM176.55 ÷ 33 =

9. RM3450.60 ÷ 18 =

10. RM3765.30 ÷ 42 =

Mathematics Module


Topic : 7.8(a) Problem Solving Instruction:

Solve the questions below. A) Azri bought some items as shown below. How much did he have to pay ? 1.

2.

3

4.

5.

6.

RM8 RM12.80 60sen

RM19.90 each 90 sen each

RM13.60 RM5 80 sen

RM180 per each RM6.60 each

55 sen 90sen RM6.80 RM65

90 sen each RM320 each

Mathematics Module


B. The tables show the items bought by Hisham. How much did he has to pay?

1. Item Price per

unit Quantity

Pen RM19.90 2 unit Pencil 70 sen 4 unit

2. Vegetables Price

per kg Quantity

Spinach RM2 4 kg cabbage RM6.50 2 kg

3 Beverage Price

per can Quantity

P RM2 7 cans Q 80 sen 5 cans

4. Pizza Price per

plate Quantity

X RM9.90 4 plates Y RM33.80 2 plates

5 Oil cooking

Price per bottle

Quantity

P RM17 2 bottles Q RM1.50 3 bottles

126 Fish Price

per kg Quantity

KK RM5 2 kg LL RM6.50 3 kg

Mathematics Module


C. Rohaya has RM20 . She bought some items as shown below. How much does she have left ? 1.

2.

3

4.

5.

6.

RM8 RM9.80 90sen

RM7.60 each

90 sen each

RM5.80 RM12 70 sen

90 sen each RM4.80 each

85 sen 80sen RM4.80 RM12

80 sen each RM2.40 each

Mathematics Module


D. Amirul has RM30. He bought some items as shown below. How much balance does he have left? 1. Items Price

per unit Quantity

Diskette RM1.80 5 unit book RM10 2 unit

2. Fruits Price

per kg Quantity

Apple RM8 12 kg

Grape RM9.50 2 kg

3 Beverage Price

per box Quantity

P RM4.90 1 box Q RM8 3 boxes

4. Vegetables Price

per kg Quantities

Carrot RM4.20 3 kg Tomato RM5 2 kg

5. Perfume Price per bottle Quantity Avon RM7 1 bottles Dun RM5.90 3 bottles

6. Types of fish

Price per kg

Quantity

Kembung RM5 1 kg Tongkol RM8.50 2 kg

Mathematics Module


Topic : 7.8(c) Problem Solving Insruction:


Questions Answers

1 Fetty keeps 30 sen every day. How much did she keep for 12 days?

2 RM17.60 had been divided equally among Ani , Ana , Ali and Azi .

How much money did Azi get ?

3. Chocolate cake Banana cake Azmi buys 2 chocolate cakes and 3 banana cakes. How much should he pays ?

4. The diagram shows a price of a computer toy. Radi buys 2 computer toys. He pays with RM400 . How much is his balance?

RM12.50 RM6.00

RM155.00

Mathematics Module


5. Fruits Price per kilogram

Mangosteens Guava

RM6 RM5.50

Fadil buys 3 kg mangosteens and 1 kg guava. How much should he pay ?

6 The diagram shows the price of a toy aeroplane .

Mala has 4 pieces of RM10 note . He buys 2 toy aeroplane . How much is his balance ?

7. The diagram shows the items bought by two pupils. Calculate the difference between the amount bought by Hasni and Doly.

8. The diagram shows the price of a watermelon. Lina bought 3 kg of watermelon for her mother and 2 kg for herself. How much did she have to pay ?

RM18.90

60sen RM1.50 per unit per

RM1.40 RM3 per unit Doly

1 kg RM 1.80

Mathematics Module


9. The diagram shows the price of 3 books. How much is the price for 2 books ?

10. The diagram shows the price of 4 pencils.

How much is the price for 3 pencils ?

11. The diagram shows the price of 6 diskettes in a box. How much is the price for 4 diskettes?

12. 2 cans of Lychee cost RM2.60. How much is the price for 7 cans of Lychee ?

13 The price of 4 similar pens is

RM 9. How much is the price for 5 pens ?

14. The cost of 20 oranges is RM5 . How much is the cost of 8 oranges?

RM4.50 for 3 books

RM10 for 4 pencils

RM4.80 per box

Mathematics Module


Topic : 7.8 (C) Problem Solving Instruction:

Solve the follwing questions 1 The table shows a bill belonging to En Fandi .

Quantity

Items

Price per unit ( RM )

Amount ( RM )

4 Pen 2.80 11.40 5 Eraser 60 sen 3.60 2 File 5.50 11.00

Total 26.00

Table 1 He has RM 50. He buys several items as written on the bill . How much balance does he have ?

2 The tables show an incomplete bill belonging to En. Razhuan. Quantity

Items


Amount ( RM )

7 kg Ciku 90 sen 4 kg Orange 5.00 2 kg Lemon 8.00

Total

Table 2 How much does he have to pay for all the items he bought?

3 The table shows an incomplete bill belonging to Eda . Quantity

Items


Amount ( RM )

4 Shuttle 6.00 1 Racket 32.00 2 Sock 9.00

Total Table

Complete the bill and calculate the total she has to pay ?

4 The table shows an incomplete bill belonging to En. Firuz

Quantity

Items


Amount ( RM )

3 kg Onion 3.00 2 kg Potato 5.00 3 units Bread 1. 80

Total 19.40 Table

Complete the bill given .

Mathematics Module


5 A trader buys 2000 eggs for RM 200. 10% of the eggs are broken.The remainder he sells for RM20. How much profit does he get?

6. Zul buys 70 bottles of drinks which cost RM 245. He sells all the drinks and gets RM 49 as profit. How much is the selling price for a bottle?

7 Sham buys 12 pens for RM 84.

He sells all the pens and gets a profit of RM 2. 50 each.

What is the selling price for a pen.

8 Aza buys 200 mangoes for

RM 140. She sells 50 of them for RM 1.20 each. He sells the remainder for 80 sen each. How much profit does she gets ?

Mathematics Module


ANSWER KEY WEEK 7

MONEY ( WEEK 7 ) 7.1 (a)

1. RM 2.35 2. RM 8.70 3. RM 600.05 4. RM 560.10 5. RM 2000.40 6. RM 80.95 7. RM 720.80 8. RM 340.55 9. RM 40.85 10. RM 19.90 11. RM 803.15 12. RM 70.50 13. RM 60.65 14. RM 1000.75 15. RM 20.20 16. RM 320.60 17. RM 402.10 18. RM 540.40

7.1(b)

1.Twelve ringgit and five sen 2. Forty ringgit and sixty sen 3 Three ringgit and ninety-five sen 4. Six hundred twelve ringgit and ten sen

5. Three thousand seven hundred ringgit and forty sen 6. Seventy-seven ringgit and five sen 7. Ninety-seven ringgit and sixty sen 8. One hundred seventy-six ringgit and fifty sen 9. Seventy-two ringgit and fifty-five sen 10. Two hundred twenty-two ringgit and twenty sen 11, Three hundred three ringgit and thirty sen 12. Four hundred ringgit and forty sen 13. Fifty-five ringgitand seventy-five sen 14. Two hundred five ringgit and eighty sen 15. One hundred seven ringgit and seventy sen 16. Seven hundred seventy ringgit and eighty-five sen 17. One thousand one hundred ringgit and ten sen 18. Seven thousand six hundred ringgit and fifty sen 19. Five thousand three hundred ringgit and fifty sen 20. Seven hundred six ringgit and thirty sen

7.2(a)

1. RM 2.15 2. RM 1.85 3. RM 2.65 4. RM 1.35 5. RM 1.20 6. RM 1.70

7.2.(b) 1. RM 387-20

2. RM 600.35 3. RM 34

4 RM 315.25 5 RM 168.45 6 RM 484.40 7 RM 958.20 8 RM 577.30

7.3 1 RM 24 2 RM 3 3 RM 2 4 RM 11 5 RM 4 6 RM 11 7 RM 3 8 RM 3 9 RM 3 10 RM 5 11 RM 254 12 RM 663 13 RM 352 14 RM 151 15 RM 384 16 RM 141 17 RM 343 18 RM 453 19 RM 353 20 RM 304 21 RM 24 22 RM 3 23 RM 21 24 RM 18

27 RM 31 28 RM 12 29 RM 34 30 RM 54 31 RM 243 32 RM 377 33 RM 211 34 RM 137 35 RM 461 36 RM 571 37 RM 360 38 RM 152 39 RM 354 40 RM 554

7.4

1. RM 16.65 2. RM 56.20 3. RM 243.80 4. RM 176.25 5. RM 137.95 6. RM 224.90 7. RM 71.85 8. RM 23.05

7.5 (a) 1. RM 3.80

2. RM 1.40 3. RM 3.00 4. RM 10.10 5. RM 3.80

6. RM 1.65

7.5 (b) 1 RM 189.35

2. RM 653.75 3 RM 318.90

4 RM 377.80 5 RM 16.80 6 RM 34.10 7 RM 307.45 8 RM 82.75

Mathematics Module


25 RM 40 26 RM 50 7.6 (a)

1. RM 164.15 2. RM 52 3. RM 9.45 4. RM 42.35 5. RM 67.20 6. RM 187.55 7. RM 297.25 8. RM 495

7.6 (b) 1 RM 3.15 2 RM 4.40 3 RM 8.55 4 RM 3.90 5 RM 4.55 6 RM 16.40 7 RM 18.40 8. RM55.50

7.6 © 1. RM 16 2. RM 130 3. RM 48.48 4. RM 617 5. RM 198 6. RM 577.80 7. RM 201.40 8. RM 625 9. RM 206.50 10. RM100.80 11. RM 12 12. RM382.70 13. RM 384 14. RM 338 15. RM 126 16. RM 710.40 17. RM 132 18. RM 840 19. RM 11.25 20. RM 315

7.7

1. RM 15.45 2. RM 38.65 3. RM 161.80 4. RM 346.05 5 RM 439.70 6 RM 335.15 7 RM 19.60 8 RM 5.35 9 RM 191.70 10 RM 89.65

7.8 (a) A

1 RM 21.40 2 RM 42.50 3 RM 19.40 4 RM 379.80 5 RM 73.25 6 RM 643.60

B 1 RM 42.60 2 RM 21 3 RM 18 4 RM 107.20 5 RM 38.50 6 RM 29.50 C 1. RM 1.30 2. RM 2.10 3. RM 1.50 4. RM 6.80 5. RM 1.55 6. RM 8 D 1 RM 1

2 RM 7 3 RM 1.10 4. RM 7.40 5. RM 5.30 6. RM 8.00

7.8 (b)

1. RM3.60 2. RM 4.40 3. RM 43.00 4. RM 90 5. RM 23.50 6. RM 2.20 7. RM 0.80 8. RM 1.00 9. RM 3.00 10. RM 7.50 11. RM 3.20 12. RM 18.20 13. RM 11.25 14. RM 2.00

7.8(c)

1. RM 24 2. RM6.30,

RM20.00, RM 16.00

RM 42.30 3. RM 32.00 RM47.00 4. RM 9.00,

RM 2.50, RM 5.40

5. RM 160.00 6. RM 4.20 7. RM 9.50 8. RM 40

Mathematics Module


Mathematics Module


5.2.3 The diagram consists of rectangles of equal size. Find the percentage of the shaded parts.

Types of questions

2.5.3 Convert 12

to a percentage

2.5.4 Convert 28

to a percentage

5.1.1 Convert 10028 to percentage.

i. Convert 11% to

a fraction of hundredths

i. 3% of 300 is ii. 3% of 6l , give

answer in ml iii. 25% of RM3

a. What is the percentage of 6 hours of a day?

Mathematics Module


WEEK : 8 THEME : PERCENTAGE TIME : 6 HOURS OBJECTIVES : At the end of this week, the pupils should be able to:

i. convert percentage to decimal or fraction and vice versa. ii. state the percentages from the diagrams.

GENERAL INSTRUCTIONS :

1. This section has 4 parts. 2. Answer ALL the questions in this section.

Mathematics Module


Topic : 8.1 Percentage – Relationship between percentage and fractions. Instruction : Convert the following fractions of a hundredths to percentage.

No Fraction Answer No Fraction Answer

1

1001

8

10011

2

1002

9

10014

3

1005

10

10023

4

1003

11

10013

5

1007

12

10042

6

1009

13

10051

7

1006

14

10099

Mathematics Module


Topic : 8.2 Percentage – Relationship between percentage and fractions. Instruction :

Convert the following percentages to a fraction of hundredths.

No Percentage Answer No Percentage

Answer

1

3 %

8

15 %

2

12 %

9

31 %

3

8 %

10

26 %

4

19 %

11

38 %

5

45 %

12

76 %

6

63 %

13

18 %

7

74 %

14

88 %

Mathematics Module


Topic : 8.3 Percentage – Relationship between percentage and fractions Instruction :

Convert the following proper fractions to percentages.

No

Fraction

Answer

No

Fraction

Answer e.g 1. 1

2 1x502x50 = 50

100 = 50

%

e.g 2. 225 2x4

25x4 = 8100 = 8%

1 14

7 310

2 34

8 710

3 15

9 720

4 25

10 1320

5 35

11 825

6 45

12 2425

Mathematics Module


No Fraction Answer No Fraction

Answer

13 36

22 675

14 28

23 975

15 912

24 1275

16 315

25 1875

17 615

26 880

18 915

27 1680

19 1215

28 2480

20 330

29 5490

21 930

30 6390

Mathematics Module


Topic : 8.4 Percentage – Relationship between percentage and fractions. Instruction

State the percentages for the shaded regions.

1.

2.

3.

4.

5.

6.

7.

8.

Mathematics Module


9

10.

11.

12.

13.

14.

15.

16.

Mathematics Module


ANSWER WEEK 8

8.1 1. 1 % 2. 2% 3. 5% 4. 3% 5. 7% 6. 9% 7. 6% 8. 11% 9. 14% 10. 23% 11. 13% 12. 42% 13. 51% 14. 99%

8.2

1. 3

100 14.

88100

2. 12100

3. 8

100

4. 19100

5. 45

100

6. 63

100

7. 74

100

8. 15

100

9. 31

100

10. 26

100

11. 38

100

12. 76

100

13. 18100

8.3 1. 25% 2. 75% 3. 20% 4. 40% 5. 60% 6. 80% 7. 30% 8. 70% 9. 35% 10. 65% 11. 32% 12. 96% 13. 50% 14. 25% 15. 75% 16. 20% 17. 40% 18. 60% 19. 80% 20. 10% 21. 30% 22. 8% 23. 12% 24. 16% 25. 24% 26. 10% 27. 20% 28. 30% 29. 60%

30. 70%

8.4 1. 40% 2. 75% 3. 25% 4. 60% 5. 20% 6. 30% 7. 35% 8. 75% 9. 60% 10. 25% 11. 50% 12. 25% 13. 40% 14. 40%

15. 35% 16.50%

Mathematics Module


WEEK 9 THEME PERCENTAGE TIME : 2 HOURS OBJECTIVES By the end of this week, the pupils should be able to solve the problems in daily situations. GENERAL INSTRUCTIONS


Mathematics Module


TOPIC 9.1 Fractions : Relationship between Percentage, Fractions and Decimals Instruction :

Find the answers for the following questions.

No Question Answer

e.g 3% of 600 is

3100 x 600 = 1800

100 = 18

1 4% of 3000 is

2 8 % of 700 is

3 9% of 2000 is

4 2% of 300 is

5 7% is 4000 is

6 10% of 300 is

Mathematics Module


No Question Answer

7 3% of 60 is

8 4% of 30 is

9 8 % of 70 is

10 9% of 2 is

11 2% of 3 is

12 7% of 4 is

13 15% of 60 is

Mathematics Module



Find the answers for the following questions. .

No Question Answer

e.g 3% of 6l

Convert the units 6l = 6000 ml 3

100 × 6000 = 18000100 = 180

1 4% of 3km

2 8 % of 7kg

3 9% of 2.4 km

4 2% of 0.3 kg

5 7% of RM45

6 10% of 3.2 m

Mathematics Module


No Question Answer

7 35% of 60g

8 45% of 30ml

9 85 % of 70 m

10 90% of 22 cm

11 25% of RM3

12 70% of RM55

13 45% of 50 g

Mathematics Module



Find the answers for the following questions. .

Question

Show your steps

e.g What is the percentage of 4 boys out of 40 pupils in a class? 40

4 =

10010

1010101

=××

= 10% or

%1040

%400%100404

==×

1. What is the percentage of 8 boys out of 40 pupils in a class?

2. What is the percentage of 12 out of 50 cows which are reared by Kannan?

3. What is the percentage of 4 mangosteen out of 20 fruits in a basket?

4. What is the percentage of 6 story books out of 30 books on a shelf?

5. What is the percentage of 21 out of 30 days?

Mathematics Module


6. What is the percentage of 6 pencils out of 15 pencils?

7. Ali has 10 red marbles, 5 white marbles and 15 green marbles. What is the percentage of the green marbles?

8. What is the percentage of 25 out of 125 marbles?

9. What is the percentage of 7 out of 28 books?

10. What is the percentage of 5 out of 25 teachers?

Mathematics Module




Question

Steps

e.g. 30% of 60 pupils are wearing red hat. What is the number of pupils wearing red hat?

red hats = 30% × 60 = 18

1. 40% of 50 pupils got A in Mathematics, while the rest got B. What is the number of pupils who got A in Mathematics?

2. 65% of 300 birds are sparrows and the rest are Mynah. What is the number of sparrows?

3. 85% of 200 hens laid eggs. What is the number of hens which laid eggs?

4. 75% of 800 pupils come from Kampung P and the rest are from Kampung Q. What is the number of pupils from Kampung Q?

5. 30% of 1200 pupils wear spectacles. Calculate the number of pupils wearing spectacles?

Mathematics Module


Question Steps 6. 10% of 70 pupils are wearing red hats. The rest are wearing blue hats. What is the number of pupils wearing blue hats?

7. 25% of 500 pupils got A in Mathematics, while the rest got B. What is the number of pupils who got B in Mathematics?

8. 30% of 150 birds are sparrows and the rest are Mynahs. What is the number of Mynahs?

9. 55% of 2000 hens laid eggs. What is the number of hens which did not lay eggs yet?

10. 90% of 1000 pupils come from Kampung Ara and the rest are from Kampung Jati. What is the number of pupils from Kampung Jati?

11. 15% of 260 pupils wear spectacles. Calculate the number of pupils who are not wearing spectacles?

Mathematics Module


ANSWERS WEEK 9

9.1 1. 120 2. 56 3. 180 4. 6 5. 280 6. 30 7. 1.8 8. 1.2 9. 5.6 10. 0.18 11. 0.06 12. 0.28 13. 9

9.2 1) 210 m 2) 560 g 3) 216 m 4) 6 g 5) RM 3.15 6) 32 cm 7) 21 g 8) 13.5 ml 9) 59.5m 10) 19.8 cm 11) 75 sen 12) RM 38. 50 13) 22.5 g

9.3 1. 20% 2. 24% 3. 20% 4. 20% 5. 70% 6. 40% 7. 50% 8. 20% 9. 25% 10. 20%

9.4 1) 20 2) 195 3) 170 4) 200 5) 360 6) 63 7) 375 8) 90 9) 900 10) 900 11) 221

Mathematics Module


Mathematics Module


What is the time 25 minutes before 9:05 p.m.? Diagram shows a calendar for the month of October 2001. State the date, for the third Tuesday of the month.

Draw the hour and minute hands to show 7.05 in the morning.

12

6

3 9

1

4 8 7

10 11

5

2

October S M T W T F S 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

16 17 18 19 20 21 22 23 24 25 26 27 28 29

Convert 52 hour to minutes.

Encik Harun and his family went to Madinah for 23 days. How many weeks and days were they there?

Convert 7.00 p.m. to 24-hour system.

Mathematics Module


WEEK : 10 THEME : TIME TOPIC : DURATION TIME : 5 HOURS OBJECTIVES :

At the end of the week, the pupils will be able to :

a. convert 12-hour system to 24-hour system and vice-versa. ii. read and write the time from the clock face and find the time duration. iii. solve the problem in daily situations.


1. This section contains 11 parts. 2. Answer ALL the questions in this section.

Mathematics Module


Topic : 10.1 Convert 12-hour system to 24-hour system or vice versa Instruction : Convert the following time into the 24- hour system.

No Question

24 -hour system

No Question

24- hour system

1 1.30 a.m.

0130 hours

11 2.45 a.m 2 2.30 a.m.

12 4.39 a.m 3 4.45 p.m

13 5.30 a.m 4 3.55 p.m

14 6.34 a.m 5 6.10 p.m

15 7.12 a.m 6 7.40 p.m

16 2.15 a.m 7 8.15 p.m.

17 3.20 p.m 8 9.25 p.m

18 4.15 p.m 9 10.36 p.m.

19 9.50 p.m 10 11.59 p.m

20 10.26 p.m

Mathematics Module


Topic : 10.2 Convert 12-hour system to 24-hour system or vice versa Instruction : Convert the following 24- hour system to the 12- hour system.

No Question

12- hour system

No Question

12- hour system

1 00 25 hours 11 10 25 hours

2 01 55 hours 12 11 55 hours 3 02 20 hours 13 12 20 hours 4 03 10 hours 14 13 10 hours 5 04 25 hours 15 14 09 hours 6 04 17 hours 16 15 40 hours 7 06 35 hours 17 16 10 hours 8 07 15 hours 18 17 35 hours 9 08 20 hours 19 18 40 hours

10 09 30 hours 20 19 40 hours

Mathematics Module


Topic : 10.3 State the time in hours and minutes, a.m. and p.m.and 24-hour system. Instruction : State the time. 1 evening Answer:…………………….

2. at night Answer:…………………….

3. evening Answer:…………………….

4. at night Answer:…………………….

5

evening Answer:…………………….

6.

at night

Answer:…………………….

12

9

6

3

12

9

6

3

12

9

6

3

12

9

6

3

12

9

6

3

12

9

6

3

Mathematics Module


Topic : 10.4 State the time in hours and minutes, a.m. and p.m.and 24-hour system. Instruction : State the time in 12- hour system 1.

a.m Answer:…………………….

2.

p.m Answer:…………………….

3.

a.m

Answer:…………………….

4.

p.

Answer:…………………….

5.

Answer:…………………….

6.

p.m Answer:…………………….

12

6

9 3

12

6

9 3

12

6

9 3

12

6

9 3

12

6

9 3

12

6

9 3

Mathematics Module


Topic : 10.5 Draw the hour and the minute hands on a clock face. Instruction : Draw the hour hand and minute hand for the given time. 1.

05 35

Time :4.25

2.

13 25

Time :3.45

3.

Jam 16 40

Time :1.50

4.

Jam

Time :6.15

5.

Time :12.55

6.

Time :7.40

12

6

9 3

12

6

9 3

12

6

9 3

12

6

9 3

12

6

9 3

12

6

9 3

Mathematics Module


Topic : 10.6 Find duration of time and conversion of units. Instruction : Answer the following questions.

No

Question

Answer

1 1 hour and 20 minutes to minutes

2 2 hours and 15 minutes to minutes

3 4 hours and 50 minutes to minutes

4 2 years and 3 months to months

5 4 years and 1 month to months

6 5 years and 10 months to months

7 3 weeks and 4 days to days

8 8 weeks and 1 day to days

9 2 weeks and 6 days to days

10 1 day 10 hours to hours

11

4 days 15 hours to hours

Mathematics Module


No Question

Answer

12 3 days 20 hours to hours



15 130 minutes to hours and minutes

16 215 minutes to hours and minutes

17 45 days to weeks and days



20 50 months to years and months

Mathematics Module


Topic : 10.7 Find duration of time and conversion of units. Instruction : Answer the following questions.

No Question

Answer

1

21

hour

__________________ minutes

2

41

hour

__________________ minutes

3

43

hour

__________________ minutes

4

51

hour

__________________ minutes

5

611 hours

__________________ minutes

6

312 hours

__________________ minutes

7

212 hours

__________________ minutes

Mathematics Module


8

21

year

__________________ minutes

9

32

year

__________________ minutes

10

211 years

__________________ minutes

11

32

year

__________________ minutes

12

414 hours

__________________ minutes

13

215 hours

__________________ minutes

14

615 hours

__________________ minutes

Mathematics Module


Topic : 10.8 Read information from a schedule, a calendar and a clock face. Instruction : Study the given calendar carefully and answer the following questions. 1 1 What day is 18.12.2007?

_______________________

2 State the last day of this month. _______________________

3 State the last date of the following

month . _________________________

2

1. What day is 1.1.2008? ________________________

2. State the last day of this month.

_________________________

3. How many days are there from 5.1.08 to 20 1.2008? __________________________

3 1 State the day for 30.7.2008

______________________ 2 State the last date in this month

______________________.

4 1 State the number of days starting from 9.11.2008 until 23.11.2008

_________________________ 2 State the first day for the following month. __________________________

Mathematics Module


Topic : 10.9 Perform basic operation involving second, minutes, hours, days, weeks, months and years. Instructions : Solve the following questions. 1. 1 hour 30 minutes + 3 hours 40 minutes

2. 2 hours 40 minutes + 3 hours 55 minutes


4. 3 hours 30 minutes + 1 hour 40 minutes



Mathematics Module


7. 2 hours 40 minutes x 3



10. 11 hours 40 minutes ÷ 4 =

11. 10 hours 36 minutes ÷ 3 =

12. 20 hours 30 minutes ÷6 =

Mathematics Module


Topic : 10.10 Perform basic operation involving second, minutes, hours, days, weeks, months and years. Instruction : Solve the following questions. 1. 1 year 8 months + 3 years 11 months

2. 12 years 4 months + 13 years 9 months

3. 9 years 7 months + 3 years 8 months

4. 3 years 3 months - 1 years 4 months



Mathematics Module


7. 5 years 5 months x 3



10. 11 years 4 months ÷ 4 =

11. 10 years 3 months ÷ 3 =

12. 13 years ÷ 6 =

Mathematics Module


12

6

9 3

Topic : 10.11 Solve problems in daily situations Instructions : Answer the following questions.

1. The clock above shows the time Ali goes to school. He arrives 30 minutes later. At what time does he arrive in school?

2. Fazlia went to a shop at

3.35 p.m and arrived 14

hour

later. Draw the hour hand and minute hand that shows the time Fazlia arrived at the shop.

3. Ana’s cake was ready at 10.35 a.m.

It took her 34

hour to bake.

Draw the hour hand and minute hand that shows the time she started baking the cake.

evening

4. The clock above shows the time a tuition class ended.

The class was held for 1 hour 40 minutes. At what time did the tuition class began?

12

6

9 3

12

6

9 3

12

6

9 3

Mathematics Module


Start Arrival

5. The above clocks show the time Sharwani left home and the time she arrived in school. How long was Sharwani’s journey?

6. The clock above shows the arrival time of a bus a the bus

station. The bus journey takes 50 minutes. At what time did the bus depart?

7. Liyana drives to town at 5.40 p.m

and reaches at 6.20 p.m. How long does it take for Liyana to reach town?

8. Fahim starts washing his car at 10.15 a.m. He takes about 1 hour 50 minutes to do it. At what time doesl Fahim finish his job?

12

6

9 3

12

6

9 312

6

9 3

Mathematics Module


WEEK 10 TIME 10.1 1. 0130 hour 2. 0230 hour 3. 1645 hour 4. 1555 hour 5. 1810 hour 6. 1940 hour 7. 2015 hour 8. 2125 hour 9. 2236 hour 10. 2359 hour 11. 0245 hour 12. 0439 hour 13. 0530 hour 14. 0634 hour 15. 0712 hour 16. 0215 hour 17. 1520 hour 18. 1615 hour 19. 2150 hour 20. 2226 hour 10.2 1. 12.25 am 2. 1.55 am 3. 2.20 am 4. 3.10 am 5. 4.25 am 6. 4.17 am 7. 6.35 am 8. 7.15 am 9. 8.20 am 10. 9.30 am 11. 10.25 am 12. 11.55 am 13. 12.20 pm 14. 1.10 pm 15. 2.09 pm 16. 3.40 pm 17. 4.10 pm 18. 5.35 pm 19. 6.40 pm 20. 7.40 pm

10.3 1. 1625 hour 2. 2005 hour 3. 1315 hour 4. 2235 hour 5. 1750 hour 6. 2045 hour 10.4 1. 3.00 am 2. 6.10 pm 3. 9.40 am 4. 10.55 pm 5. 4.35 am 6. 1.20 pm 10.5 ….. 10.6 1. 80 minutes 2. 135 minutes 3. 290 minutes 4. 27 months 5. 49 months 6. 70 months 7. 25 days 8. 57 days 9. 20 days 10. 34 hours 11. 111 hours 12. 92 hours 13. 200 hours 14. 242 hours 15. 2hrs 10mins 16. 3hrs 35mins 17. 6wks 3days

Mathematics Module


10.7 1. 30 minutes 2. 15 minutes 3. 45 minutes 4. 12 minutes 5. 70 minutes 6. 140 minutes 7. 150 minutes 8. 6 months 9. 8 months 10. 18 months 11. 8 months 12. 255 minutes 13. 330 minutes 14. 310 minutes 10.8 1. Tuesday Monday 31.12.2007 2. Tuesday Thursday 16 days 3. Wednesday 31.7.2008 4. 15 days Saturday

10.9 1. 5hrs 10mins 2. 6hrs 35mins 3. 13hrs 10mins 4. 5hrs 10mins 5. 11hrs 5mins 6. 12hrs 25mins 7. 8hrs 0mins 8. 15hrs 20mins 9. 22hrs 55mins 10. 2hrs 55mins 11. 3hrs 32mins 12. 3hrs 25mins 10.10 1. 5yrs 7mths 2. 26yrs 1mths 3. 13yrs 3mths 4. 1yrs 11mths 5. 5yrs 9mths 6. 5yrs 9mths 7. 16yrs 3mths 8. 25 yrs 4mths 9. 37 yrs 1mths 10. 2 yrs 10mths 11. 3 yrs 5mths 12. 2 yrs 2mths 10.11 1. 7.20 am 2. 3.50 pm 3. 11.20 am 4. 3.20 pm 5. 35 minutes 6. 9.20 am 7. 40 minutes 8. 11.05 am

Mathematics Module


Mathematics Module


Diagram shows the weight of fish.

FISH HARUAN KELI SEPATMASS(kg) 5 2.9 0.35

What is the average weight, in kg, of a fish?

The average age of 5 pupils is 12 years old. What is the total age for the 5 pupils?

Types of questions

Mathematics Module


WEEK : 11 THEME : DATA HANDLING TOPIC : AVERAGE TIME : 3 HOURS OBJECTIVES : At the end of this week, pupils should be able to:

i. find the average ii. solve the problem in daily situations.



Mathematics Module


Topic : 11.1 Average Instruction : Find the average for the numbers given

Example . 45 , 65 and 76 Calculate the total : 45 + 65 + 76 = 186

Divide by the number of quantity = 1863

= 62 Average = 62

1. 0.5 , 7.6 , 44.5 and 76.48

2. 76 , 243 and 701

3. 46.5 , 7 ,90.4 , 2.3 and 4.55

4. 57 , 265 , 87 and 3

5. 6.5 , 8.76 , 20.06 and 4.304

Mathematics Module


Example : 40 sen , RM1.60 dan 70 sen Calculate the total amount = 0.40 + 1.60 + 0.70 = 2.70 Divide = 2.70 ÷ 3 =RM0.90

6. Calculate the average ,in g, 1.4 kg , 500 g and 800 g

7. 60 sen , RM2 , RM1.70 and 90 sen

8. Calculate the average ,in mℓ, 660 mℓ, 1 ℓ , 320 mℓ and 1.3 ℓ

9. RM4, 50 sen , RM2.60 , 80 sen and RM12.50

10. Calculate the average ,in m, 4km ,2.3 km , 340 m , 560 m and 300 m

Mathematics Module


Topic : 11.2 Average Instruction : Find the remaining value with the average given. The average given for each question is 24. Calculate the value of x.

Example : 35 , 7 , x , x Total after the average = 24 × 4 =96 Total before the average =35 + 7 = 42 Difference = 96 42 - 54 ÷ 2 ( There are two x) x = 27

1. 20 , 12 , 3 , x

2. 33 , 20 , x , 5 , x

3. 45.6 , 10 , x , 15.4 , x

4. 23 , 8 , 13 , x

5. 2.3 , 27.7 , x , x , x

Mathematics Module


Topic : 11.3 Average Instruction :The average marks given for each pupil is 75 . Find X.

Example :

Pupils Marks P 96 Q 34 R X S X

Total after the average = 75 × 4 = 300 Total after the average = 96 + 34 = 130 Difference = 300 — 130 = 170 X = 170 ÷ 2 ( There are two X ) = 85

1

Pupils Marks P 96 Q 34 R 66 S X T X

.

2.

Pupils Marks P 96 Q 43 R 66 S 76 T X

3.

Teams Marks Scouts 46 Islamic Society 56 Girl Guides X School Youth Cadets X Police Cadets X

4.. Subjects Marks

Bahasa Melayu 86 English 74

Mathematics X Science X

5. Participants Marks

Tony 55 Pony X Lily X

Kanny X Mary X

Mathematics Module


Topic : 11.4 Average Instruction : Solve the following problems. Example: The average weight for 5 pupils is 52 kg. The weight of three of them is 45kg, 77 kg and 56 kg respectively. The weight of the third and the fourth pupil is the same. Find the weight for the fourth pupil, in kg.

Total after the average 52 × 5 = 260 Total before the average 45 + 77 + 56 = 178 Difference = 260 — 178 = 122 The weight of the fourth person =122 ÷ 2 = 61 kg

1. The table shows Azmi’s Mathematics marks Month January February March April Marks 94 56 76 82

Calculate the difference between the highest mark and the monthly average mark

2. The bar chart shows the number of pupils who passed Mathematics in four classes. 6A 6B 6C 6D The average number of pupils in each class is 38. Find the number of failures.

35

30

25 20

15

10

5

0

N

umbe

r of p

ases

Mathematics Module


3. The pictograph shows the amount of milk sold in four shops. P-shop Q-shop R-shop S-shop Represents 40 milk cartons

T-shop sold 35 milk cartons more than the average amount sold by each shop. What is the amount of milk cartons sold by T-shop?

4. The diagram shows the volume of water in four containers. What is the average volume of water, in ml, for each container?

5. The table shows Tina’s expenditure in five days. Day Mon Tue Wed Thu Fri Expenditure 70 sen 60 sen 40 sen RM1.80 RM1

She is given RM2 daily as a pocket money. What is her average savings per day?

134 l

12 l

760ml

410ml

Mathematics Module


6. The diagram shows the height of four trees. P 34 m 7.8 m 56.9 m __m

The average height is 27 m.What is the height, in m, for P?

7. The diagram shows the weight of four stones.

What is the average weight, in g, for each stone?

8. The diagram shows the time taken by four vehicles to reach X Vehicle Duration to X Bus 4 hours 30 mins Train 7 hours Car 3 hours 20 mins Motorcycle 5 hours 50 mins

What is the average time taken by each vehicle to reach X?

9. Rahim, Bala and Cheong collected used tins. The average number of tins collected by the 3 boys was 16. Rahim and Bala collected 10 and 16 tins, respectively. Calculate the number of tins collected by Cheong.

1.7 kg 860g 1 14 kg

1590g

Mathematics Module


10. The table shows the number of occupants in two hostels.

Hostel Number of Occupants

P 50 Q 40 R

The number of occupants in hostel R equals to the total number of occupants in hostels P and Q . Calculate the average number of occupants in each hostel.

11. The table shows the length of 4 ribbons bought by Pn. Kalsom.

Ribbon Length Blue 3.2 m

Green 2.25 m Yellow 0.5 m

Red 3.25 m Calculate the average length, in m , of the ribbons.

12. Sani is 12 years old. Akmal is 4 years 6 months old. How old is Rafi if the average age of three of them is 16 years 6 months?

13. The average mass of five items is 72 g. The average mass of the first three items is 40 g. The fourth item is 42 g. What is the mass , in g, of the fifth item?

Mathematics Module


14. The table shows the mass of 4 parcels

Parcel Mass M 5.5 kg N 4.8 kg O 7.2 kg P 12.5 kg Q

When another parcel Q is added, the average of the 5 parcels is 7.7 kg. Calculate the mass of parcel Q.

15. The table shows the age of three children .

Name Age Mulan 9 years 4 months Nilam

732

years

Opie 8 years 3 months Calculate the average age of each child.

16. The average weight of 4 people in a bus is 51.6 kg . When Hassan joins in, the average weight becomes 51.7 kg. What is the weight of Hassan ? .

17. The table shows the number of schools and the average number of pupils in two districts.

District Number of School

Average number of pupils

South 12 670 North 14 640

What is the difference in the number of pupils between the two districts?

Mathematics Module


18. The table shows the amount spent by Sazalee at the school canteen in 5 days. Day Monday Tuesday Wednesday Thursday Friday Amount RM1.60 RM2.20 RM1.60 RM1.40 RM1.70

Calculate the average amount spent in the week.

19. Roslan went on a 9 days journey. The average distance covered in a day is 25.5 km. Calculate the total distance travelled by Roslan.

20. The table shows the number of pupils in three schools.

School A B C Number of pupils 530 680

The average number of pupils is 720. Calculate the number of pupils in school C .

Mathematics Module


AVERAGE

11.1 1. 32.27 2. 340. 3. 30.15 4. 103 5. 9.906 6. 900 7. RM 1.30 8. 820 mℓ 9. RM 5.10

. 10. 1500 m 11.2 1. 61 2. 31.31 3. 24.5 4. 52 5. 30 11.3 1. 89.5 2. 94 3. 91 4. 70 5. 80

11.4

1. 17 2. 32 3. 245 4. 855 5. RM 1.10 6. 9.3 m 7. 1350 g 8. 5 hours 10minute 9. 22 tins 10. 10. 60 11. 11. 2.3 12. 12. 33 years old 13. 13. 198 g 14. 14. 8.5 15. 15. 8 years 5 months 16. 16. 52.1 kg 17. 17. 920 18. 18. RM6.70 19. 19. 229.5

20. 950

Mathematics Module


A rope is 18.4 m long. It is divided into 4 equal parts. What is the length, in m, for each part? The price of a 7 m cloth is RM19.20. Calculate the price for 8 m of the same cloth.

Types of questions

Convert 9.4 km to m. State 56 cm in m.

Calculate 14 cm × 5. ( Give the answer in m.) 860 m + 3.2 km = ________ km

Diagram shows three towns, A, B and C. What is the difference between the distance of AB and BC?

A ·

·

·

B

C

Mathematics Module


WEEK : 12 THEME : LENGTH TOPIC : COMPUTATION OF LENGTH TIME : 3 HOURS OBJECTIVES : At the end of this week, pupils should be able to ;

I. convert km to m and vice versa. II. compute basic operations.

III. read the scale given. IV. solve the problems in daily situations.

GENERAL INSTRUCTIONS:

1. This section contains 7 parts. 2. Answer ALL the questions.

Mathematics Module


Topic : 12.1 Computation of Lengths Instruction : Write the following measurement in the unit given .

1 0 2 3 4 5 cm

wan design 6 7

7

1 0 2 3 4 5 cm

wan design 6

10 2 3 4 5cm

wan design 6 7

1.

_________mm

1 0 2 3 4 5 cm

wan design 6

10 2 3 4 5 7cm

wan design 6

2.

3.

4.

5.

_________mm

_________cm

_________cm

_________mm

Mathematics Module


Topic : 12.2 Computation of Length Instruction : Convert km to m and vice versa No Question ( km ) m No Question ( m ) km

1 0.06 20 50

2 2.75 21 80

3 3. 08 22 55

4 0. 008 23 60

5 2.1 24 700

6 4.44 25 960

7 5. 025 26 820

8 4. 575 27 280

9 6. 25 28 390

10 21

29 2095

11 41

30 1095

12 43

31 4005

13 51

32 4010

14 52

33 8015

15 53

34 4020

16 54

35 6025

17 101

36 4030

18 103

37 10040

Mathematics Module


Topic : 12.3 Computation of Lengths Instruction : Convert the following compound units ( km and m ) to km No Question km

1 1 km 10 m

2 1 km 15 m

3 1 km 20 m

4 1 km 25 m

5 1 km 35 m

6 2 km 40 m

7 2 km 45 m

8 2 km 50 m

9 2 km 55 m

10 2 km 60 m

11 2 km 70 m

12 3 km 75 m

13 3 km 80 m

14 3 km 85 m

15 4 km 90 m

16 4 km 95 m

17 5 km 5 m

18 5 km 10 m

19 5 km 15 m

20 6 km 20 m

Mathematics Module


Topic : 12.4 Computation of Lengths Instruction : Convert km to m No Question m

1 21

km

2 41

km

3 43

km

4 51

km

5 52

km

6 53

km

7 54

km

8 101

km

9 103

km

10 107

km

11 109

km

12 141

km

13 121

km

14 143

km

15 1 km

16 252

km

17 254

km

18 3 101

km

19 3 107

km

20 3 109

km

Mathematics Module


Topic : 12.5 Computation of Lengths – Basic Operation Instruction: Solve the following questions. Give the answers in m. 1. 1.2 km + 800 m +1600 m =

2. 112 km + 780 m + 156 m =

3. 40% × 2.3 km =

4 27 × 0.28 km

5 2 14 km — 880 m =

6. 35 × 5.6 km =

7. 3.5 l km + 2920 m =

8. 30% × 1.55 km =

Mathematics Module


Topic : 12.6 Computation of Lengths - Mixed Operations (+ and - ) Instruction : Solve the questions and give the answers in km. 1. 1.2 km + 800 m — 1600 m =

2. 1400 m — 0.8 km + 750 m =

3. 3600 m + 800 m — 2.9 km =

4. 4.25 km — 2700 m + 800 m =

5. 3.5 km + 2500 m — 4.75 km =

6. 650 m — 480 m + 1.75 km =

7. 4.6 km — 2700 m + 0.9 k m =

8. 2.65 km — 0.895 km + 655 m =

Mathematics Module


Topic : 12.7 Computation of Lengths - Problem solving Instruction : Solve the following questions . 1.The diagram shows the length of three ropes. 1.3 km 890 m 340 m

Find the total length of ropes, in m.

2. The diagram shows the distance from town P to town Q.

Town T is located 13 of the distance

from P to Q. Calculate the distance, in km, from town T to town Q.

3. The diagram shows a signboard where Jais stopped his car.

Jais’s house is located 12.5 km before Tg Malim. What is the distance from Jais’ house to Slim River?

4. The table shows the height of four pupils. Pupils Height Parid 1.5 m Quincy 160 cm Rais 12 cm more than Quincy Salmiah 4 cm less than Parid

Find the average height, in cm, for each pupil.

P Q 12.6 km

Tg Malim 34 km Slim River 500m

Mathematics Module


LENGTH

12.1

1 55 mm 2 1.5 cm 3 50 mm 4 1.5 cm 5 40 mm

12.2

1. 60 2. 2750 3. 3080 4. 8 5. 2100 6. 4440 7. 5025 8. 4575 9. 6250 10. 500 11. 250 12. 750 13. 200 14. 400 15. 600 16. 800 17. 100 18. 300 19. 0.05 20. 0.08 21. 0.055 22. 0.06 23. 0.7 24. 0.96 25. 0.82 26. 0.28 27. 0.39 28. 2.095 29. 1.095 30. 4.005 31. 4.010 32. 8.015 33. 4.02 34. 6.025 35. 4.03 36. 10.04 37. 15.05

12.3

1 1010 2 1015 3 1020 4 1025 5 1035 6 2040 7 2045 8 2050 9 2055 10 2060 11 2070 12 3075 13 3080 14 3085 15 4090 16 4095 17 5005 18 5010 19 5015 20 6020 12.4 1 500 2 250 3 750 4 200 5 400 6 600 7 800 8 100 9 300 10 700 11 900 12 1250 13 1500 14 1750 15 1000 16 2400 17 2800 18 3100 19 3700 20 3900

12.5 1. 3600 2 2436 3 920 4 80 5 1370 6 3360 7 6430 8 465 12.6 1. 0.4 km

2. 1.3 km 3. 1.5 km 4. 2.35 km 5. 12.5 km 6. 1.92 km 7. 2.8 km 8. 2.41km

12.7

1. 2530 m 2. 8.4 km 3. 22 km 4. 157 cm

Mathematics Module


Mathematics Module


5.67 kg – 3.9 kg =

State the answer in gram. 5 × 11.2 kg = _____ gram

The weight of a watermelon is 3.25 kg. What is the mass of 7 watermelons of the same weight?

The weight of a jackfruit on a weighing scale is 750 g. If a mango is add on the weighing scale the weight becomes 1 kg 100 g.

What is the weight of the mango?

Types of questions

Convert 3 kg 800 g into g. Convert 9 085 g to kg and gram. Express 3.5 kg in gram. What is the weight of the bananas?

Mathematics Module


WEEK : 13 THEME : MASS TOPIC : COMPUTATION OF MASS TIME : 3 HOURS OBJECTIVES : At the end of the week, pupils should be able to :

a. read the scales in kg and g ii. convert kg to g and vice versa iii. compute basic operation involving kg and g iv. solve the problems in daily situations



Mathematics Module


Topic : 13.1 Read the scales in kg and g Instruction : Read the scales in kilograms and grams, based on the diagrams given. 1

2

3

4

4

0

kg 1

2 3

4

0

kg 1

2 3

0

1

2 3

4 kg

0

1

2 3

4 kg

Mathematics Module


5

6

7

8

0

1

2 3

4 kg

0

1

2 3

4 kg

4

0

kg 1

2 3

4

0

kg 1

2 3

Mathematics Module


Topic : 13.2 Convert kg to g and vice versa. Instruction : Complete the exercise.

No Question

g

No Question G

1 0.1 kg

11 3.75 kg 2 1.15 kg

12 0.8 kg 3 1.2 kg

13 3.85 kg 4 1.25 kg

14 0.9 kg 5 1.35 kg

15 4.95 kg 6 2.45 kg

16 5.5 kg 7 0.5 kg

17 5.1 kg 8 2.55 kg

18 5.15 kg 9 2.6 kg

19 6.2 kg 10 2.7 kg

20 8.07 kg

Mathematics Module


No Question

kg

No Question kg

21 50 g

31 1 090 g 22 80 g

32 4 080 g 23 55 g

33 4 010 g 24 60 g

34 5 010 g 25 700 g

35 6 020 g 26 960 g

36 7 020 g 27 820 g

37 8 030 g 28 1 280 g

38 10 040 g 29 1 390 g

39 15 050 g 30 2 090 g

40 20 000 g

Mathematics Module


Topic : 13.3 Convert kg to g and vice versa Instruction : Answer the questions below.

No Question

g

No Question G

1 1 kg 10 g

11 2 kg 70 g 2 1 kg 15 g

12 3 kg 75 g 3 1 kg 20 g

13 3 kg 80 g 4 1 kg 25 g

14 3 kg 85 g 5 1 kg 35 g

15 4 kg 90 g 6 2 kg 40 g

16 4 kg 95 g 7 2 kg 45 g

17 5 kg 5g 8 2 kg 50 g

18 5 kg 10 g 9 2 kg 55 g

19 5 kg 15 g 10 2 kg 60 g

20 6 kg 20 g

Mathematics Module


Topic : 13.4 Convert kg to g and vice versa. Instruction : Complete the exercise.

No Question

g

No Question g

1 12

kg

11 434

kg 2

14

kg

12 414

kg 3

34

kg

13 512

kg 4 2

12

kg

14 534

kg 5 2

34

kg

15 514

kg 6 2

14

kg

16 612

kg 7 3

12

kg

17 614

kg 8 3

14

kg

18 634

kg 9 3

34

kg

19 712

kg 10 4

12

kg

20 714

kg

Mathematics Module


Topic : 13.4 Convert kg to g and vice versa. Instruction : Read the scales and convert the answers into grams. 1

2

3

4

5

6

5

8

1 0

kg

2

3

4 6

7

9

0 1

2 3

4 kg 1

2 3

4 kg

0 0 1

2 3

4 kg 1

2 3

4 kg

0

5

8

1 0

kg

2

3

4 6

7

9

5

8

1 0

kg

2

3

4 6

7

9

0 1

2 3

4 kg 1

2 3

4 kg

0

Mathematics Module


Topic : 13.6 Convert kg to g and vice versa Instruction : Read the scales and convert the answers into kilograms. 1

2

3

4

5

6

500

750 250

0

g

500

750 250

0

g

500

750 250

0

g

500

750 250

0

g

500

750 250

0

g

500

750 250

0

g

Mathematics Module


Topic : 13.7 Compute basic operation involving kg and g. Instruction : Compute the questions below and state the answers in gram. 1 3.2 kg + 750g =

2 2.09 kg + 560 g

3 350 g + 1.76 kg =

4 3.62 kg - 700 g =

5 1.8 kg - 990 g =

6 2.24 kg - 870 g =

Mathematics Module


7 2.34 kg x 6 =

8 0.56 kg x 8 =

9 1.08 kg x 16 =

13 0.72 kg ÷ 8 =

11 3.42 kg ÷ 9 =

12 2.76 kg ÷ 12 =

Mathematics Module


Topic : 13.8 Solve problems in daily situations Instruction : Solve the following questions.

1 Find the total mass, in kg, of the boxes?

2 The mass of 7 chairs is 1.4 kg What is the mass, in g, of 6 chairs?

3 What is the difference, in g, between the two cakes?

4 A 2.4 kg cake is cut into 8 equal parts. What is the weight, in g, of each part?

5 The diagram above shows a cake. Fatin eats 550 g of the cake. What is the balance, in g, of the cake ?

6 Aiman buys 1.4 kg of prawns. Farah buys 280 g of prawns. How much prawns, in g, did they buy altogether?

1.2 kg 870 g

1.6 kg 750 g

1.3 kg

Mathematics Module


7 The weighing scale shows the weight of a few oranges. Calculate the weight in grams before the oranges were taken out.

8 The wood on the weighing scale is cut into 4 equal parts. What is the weight, in g, of each part?

9 The weight of a box is 170 g. Calculate the weight, in kg, of the ball.

10 The scale above shows the weight of a cake and a biscuit. After removing the biscuit, the scale reads 2100g. Calculate the weight of the biscuit in kg.

5

8

1 0

kg

2

3

4 6

7

9 0 1

2 3

4 kg 1

2 3

4 kg

0

0 1

2 3

4 kg

500

750 250

0

g

Mathematics Module


13.1 1. 2 kg 750 g 2. 3 kg 250 g 3. 2 kg 400g 4. 4 kg 400 g 5. 1 kg 600 g 6. 2 kg 200 g 7. 750 g 8. 3 kg 250 g 13.2 1. 100g 2. 1150g 3. 1200g 4. 1250g 5. 1350g 6. 2450g 7. 500g 8. 2550g 9. 2600g 10. 2700g 11. 3750g 12. 800g 13. 3850g 14. 900g 15. 4950g 16. 5500g 17. 5100g 18. 5150g 19. 6200g 20. 8070g 21. 0.05kg 22. 0.08 kg 23. 0.055 kg 24. 0.06 kg 25. 0.7 kg 26. 0.96 kg 27. 0.82 kg 28. 1.28 kg 29. 1.39 kg 30. 2.09 kg 31. 1.09 kg 32. 4.08 kg 33. 4.01 kg 34. 5.01 kg 35. 6.02 kg 36. 7.02 kg 37. 8.03 kg 38. 10.04 kg 39. 15.05 kg 40. 20 kg

13.3 1. 1010g 2. 1015g 3. 1020g 4. 1025g 5. 1035g 6. 2040g 7. 2045g 8. 2050g 9. 2055g 10. 2060g 11. 2070g 12. 3075g 13. 3080g 14. 3085g 15. 4090g 16. 4095g 17. 5005g 18. 5010g 19. 5015g 20. 6020g 13.4 1. 500g 2. 250g 3. 750g 4. 2500g 5. 2750g 6. 2250g 7. 3500g 8. 3250g 9. 3750g 10. 4500g 11. 4750g 12. 4250g 13. 5500g 14. 5750g 15. 5250g 16. 6500g 17. 6250g 18. 6750g 19. 7500g 20. 7250g

13.5 1. 1500 g 2. 2500 g 3. 3500 g 4. 1300 g 5. 2900 g 6. 3300 g 13.6 1. 0.15 kg 2. 0.3 kg 3. 0.6 kg 4. 0.7 kg 5. 0.85 kg 6. 0.90 kg 13.7 1. 3950 g 2. 2650 g 3. 2110 g 4. 2920 g 5. 810 g 6. 1370 g 7. 14040 g 8. 4480 g 9. 17280 g 10. 90 g 11. 380 g 12. 230 g 13.8 1. 2.07 kg 2. 1200 g 3. 850 g 4. 300 g 5. 750 g 6. 1680 g 7. 2300 g 8. 325 g 9. 280 g 10. 0.3 kg

Mathematics Module


Mathematics Module


State 2.05 l in ml. Convert 350 ml to liter.

3.45 l + 275 ml = 4 l 90 ml - 2.15 l =

9 × 125 ml = (Give the answer in l.)

2.48 l ÷ 5 = _____ ml

The volume of juice in a container is 4.5 l. Ali drank half of it. How much volume, in ml, of juice is left?

1.5 l 245 ml

Diagram shows two beakers. What is the total volume of water in l?

Types of questions

Mathematics Module


WEEK : 14 THEME : VOLUME TOPIC : VOLUME OF LIQUID TIME : 3 HOURS OBJECTIVES : At the end of this week, pupils should be able to :

i. convert the units ii. perform the basic operations iii. read the scale iv. solve the problems in daily situations.



Mathematics Module


Topic : 14.1 Conversion of units. Instruction : Convert the following `ℓ’ into ` mℓ ‘ and vice versa. No Question In mℓ No Question In ℓ

1 0.1 ℓ 21 50 mℓ

2 1.15 ℓ 22 80 mℓ

3 1.2 ℓ 23 55 mℓ

4 1.25 ℓ 24 60 mℓ

5 1.35 ℓ 25 700 mℓ

6 2.45 ℓ 26 960 mℓ

7 0.5 ℓ 27 820 mℓ

8 2.55 ℓ 28 280 mℓ

9 2.6 ℓ 29 390 mℓ

10 2.7 ℓ 30 2095 mℓ

11 3.75 ℓ 31 1095 mℓ

12 0.8 ℓ 32 4005 mℓ

13 3.85 ℓ 33 4010 mℓ

14 0.9 ℓ 34 8015 mℓ

15 4.95 ℓ 35 4020 mℓ

16 5.5 ℓ 36 6025 mℓ

17 5.1 ℓ 37 4030 mℓ

18 5.15 ℓ 38 10040 mℓ

19 6.2 ℓ 39 15050 mℓ

20 8.06 ℓ 40 20 000 mℓ

Mathematics Module


Topic : 14.1(b) Conversion of units Instruction : Convert the following compound units (ℓ, mℓ ) into mℓ. No Question mℓ

1 1 ℓ 10 mℓ

2 1 ℓ 15 mℓ

3 1 ℓ 20 mℓ

4 1 ℓ 25 mℓ

5 1 ℓ 35 mℓ

6 2 ℓ 40 mℓ

7 2 ℓ 45 mℓ

8 2 ℓ 50 mℓ

9 2 ℓ 55 mℓ

10 2 ℓ 60 mℓ

11 2 ℓ 70 mℓ

12 3 ℓ 75 mℓ

13 3 ℓ 80 mℓ

14 3 ℓ 85 mℓ

15 4 ℓ 90 mℓ

16 4 ℓ 95 mℓ

17 5 ℓ 5 mℓ

18 5 ℓ 10 mℓ

19 5 ℓ 15 mℓ

20 6 ℓ 20 mℓ

Mathematics Module


Topic : 14.1(c) Conversion of units Instruction : Convert the following `ℓ’ into `mℓ’ No Question mℓ

1 21

ℓ

2 41

ℓ

3 43ℓ

4 51

ℓ

5 52

ℓ

6 53

ℓ

7 54

ℓ

8 101ℓ

9 103ℓ

10 107

ℓ

11 109

ℓ

12 141

ℓ

13 121

ℓ

14 143

ℓ

15 151

ℓ

16 252

ℓ

17 254

ℓ

18 3 101

ℓ

19 3 107

ℓ

20 3 109

ℓ

Mathematics Module


Topic : 14.2 Determine the volume Instruction : Write the volume of the water , in mℓ or liter . 1

2 3

4

5 6

7

8 9

10

11 12

500 ml 500 ml 500 ml

500 ml 500 ml 500 ml

1 litre

1 litre

1 litre 1 litre

1 litre 1 litre

Mathematics Module


Topic : 14.3 Perform the basic operation of addition, subtraction, multiplication and division. Instruction : Calculate the volume. Show the working steps.

1. 2.34 ℓ + 800 mℓ = 2. 4.2 ℓ + 950 mℓ =

3. 875 mℓ + 1.5 ℓ =

4. 1.3 ℓ - 450 mℓ =

5. 3.8 ℓ - 560 mℓ =

6. 1.25 ℓ - 380 mℓ =

Mathematics Module


7. 3.2 ℓ x 7 = 8. 0.54 ℓ x 4 =

9. 1.13 ℓ x 12 =

10. 2.4 ℓ x 6 =

11. 3.26 ℓ x 5 =

12. 2.88 ℓ x 12 =

Mathematics Module


Topic : 14.4 Problem Solving Instruction : Solve the following problems. 1. What is the total volume, in ml, of the containers?

2. 3 ℓ of cooking oil has been poured into 5 similar containers. How much volume of oil, in mℓ, is in each container?

3. The container Q contains 2.7ℓ of water. 750 mℓ of water is poured out from the container. How much volume , in ml, of water is left ?

4. The diagram shows the volume of the mango juice in a packet. Find the total volume, in ℓ, of 7 similar packets ?

5. A container contains 25 mℓ of water. Then mother pours another 770 ml into the container. What is the total volume of water, in ℓ, altogether ?

6. There are 2.2 ℓ of water in the container. Chin scoops out 990 mℓ of the water. How much volume of water, in mℓ, is left ?

850ml P

1350ml Q

Cooking oil 3 l

2.7 l Q Mango

Juice 525 ml

Mathematics Module


7. Muthu pours 3.2 ℓ of water equally into 4 glasses. How much volume, in mℓ, of water is in each glass?

8. A bottle contains 600 mℓ of mineral water. What is the total volume of water, in ℓ, of 8 similar bottles ?

9. 41

of 2.4 ℓ of orange juice had been

drunk. Calculate the volume of orange juice , in mℓ, that is left .

10. State 40% of 3 ℓ in mℓ.

Mathematics Module


14 VOLUME AND LIQUID

14.1 (a)

1. 100 mℓ

2. 1150 mℓ 3. 1200 mℓ 4. 1250 mℓ 5. 1350 mℓ 6. 2450 mℓ 7. 500 mℓ 8. 2550 mℓ 9. 2600 mℓ 10. 2700 mℓ 11. 3750 mℓ 12. 800 mℓ 13. 3850 mℓ 14. 900 mℓ 15. 4950 mℓ 16. 5500 mℓ 17. 5100 mℓ 18. 5150 mℓ 19. 6200 mℓ 20. 8060 mℓ 21. 0.05ℓ 22. 0.08 ℓ 23. 0.055ℓ 24. 0.06ℓ 25. 0.7ℓ 26. 0.96ℓ 27. 0.82ℓ 28. 0.28ℓ 29. 0.39ℓ 30. 2.095ℓ 31. 1.095ℓ 32. 4.005ℓ 33. 4.010ℓ 34. 8.015ℓ 35. 4.020ℓ 36. 6.025ℓ 37. 100 mℓ 38. 1150 mℓ 39. 1200 mℓ 40. 1250 mℓ

14.1 (b)

1. 1010 ml 2. 1015ml 3. 1020ml 4. 1025ml 5. 1035ml 6. 2040ml 7. 2045ml 8. 2050ml 9. 2055ml 10. 2060ml 11. 2070ml 12. 3075ml 13. 3080ml 14. 3085ml 15. 4090ml 16. 4095ml 17. 5005ml 18. 5010ml 19. 5015ml 20. 6020ml

14.1 (c)

1 500 ml 2 250 ml 3 750ml 4 200ml 5 400ml 6 600ml 7 800ml 8 100ml 9 300ml 10 700ml 11 900ml 12 1250ml 13 1500ml 14 1750ml 15 1200ml 16 2400ml 17 2800ml 18 3100ml 19 3700ml 20 3900ml

14.2

1 500ml 2 400ml 3 100ml 4 700ml 5 800ml 6 200ml 7 1.1 liter 8 0. 8 liter 9 1.7 liter 10 0.3 liter 11 1.3 liter 12 0.5 liter

14.3

1 3140 ml 2 5150ml 3 2375 4 850 ml 5 3240ml 6 870ml 7 22400 ml 8 2160 ml 9 13560 ml 10 14 400 ml 11 16 300 ml 12 34 560 ml

14.4

1 2200 ml 2 600 ml 3 1950ml 4 3.675 liter 5 0.795 liter 6 1212 ml 7 800 ml 8 4.8 liter 9 1800 ml 10 1200ml

Mathematics Module


Mathematics Module


WEEK : 15

State: a) the number of sides. b) number of flat surfaces.

2. Name the 3-D shape which has the following features.

a) 1 curved surface b) 2 flat surfaces

Types of questions

The diagram shows a rectangle. Calculate the area, in cm, of the shaded region.

9 cm

4 cm

3 cm

2 cm

The diagram shows several rectangles of equal size.

Find the perimeter of the shaded parts.

Mathematics Module


THEME : SHAPE AND SPACE TOPIC : TWO DIMENSIONAL AND 3 DIMENSIONAL SHAPES TIME : 3 HOURS OBJECTIVES : At the end of the week, pupils should be able to;

i. name and state the 2-D shapes and 3-D shapes ii. calculate the perimeter or area of the 2-D composite shapes iii. calculate the volume of a solid or 3-D composite shapes.



Mathematics Module


Topic : 15.1 Two dimensional and 3 dimensional shapes Instruction : Name the following 2-D and 3-D shapes. 1.

2.

3.

4.

5.

6.

7.

8.

6 squarish surfaces 8 vertices 12 sides of equal length

4 triangles 1 square 5 vertices

4 triangular flat surfaces 1 rectangular flat surface 8 edges

6 flat surfaces 8 vertices 12 sides - opposite sides of equal length

4 sides 2 axis of symmetry 4 right angles - opposite sides of equal

1 vertex 1 flat surface 1 curved surface

2 flat surfaces 1 curved surface

1 curved surfaces

Mathematics Module


9

The diagram shows two 3-D shapes. Based on the diagrams state the : 1. 3-D shape without vertex.

_______________________

2. 3-D shape that has a rectangular base.

_________________________

10

Complete the table.

Solids Number of edges

11

The table shows the characteristics of 3-D shapes.

Names of shapes

Number of flat surfaces

5

2

12

The diagram shows a 2-D shape. 1 What is the name of the shape?

2 How many sides have the same length?

13

The diagram shows a solid object.

a. State the shape of the object given.

b. State the number of the flat surfaces of the object.

14

How many symmetry lines does a square have?

Mathematics Module


Topic : 15.2 Two dimensional and 3 dimensional shapes Instruction : Find the perimeters, in cm, of the following diagrams.. 1.

2.

3.

4.

5.

6.

4 cm 6 cm

3 cm 4 cm

8 cm

3 cm

Mathematics Module


Topic : 15.3 Two dimensional and 3 dimensional shapes Instruction : Find the perimeters for the shaded regions, in cm. 1.

2.

3.

4.

5.

6.

4 cm 6 cm

3 cm

3 cm

4 cm

6 cm

Mathematics Module


Topic : 15.4 Two dimensional and 3 dimensional shapes Instruction :Find the perimeters, in cm , of the following diagrams. 1. Q is a square.

2. Q is a square. .

2 The diagram below shows three similar rectangles.

.

3 The diagram below shows three similar rectangles.

5. Q is a square.

6.

Q 5 cm

9 cm

Q

8 cm

3 cm

6 cm

2 cm

13 cm

9 cm 4 cm

4 cm

2 cm

3 cm

3 cm

Q

12 cm

4 cm

6 cm

Mathematics Module


Topic : 15.5 Two dimensional and 3 dimensional shapes Instruction :Find the perimeters, in cm, for the shaded region. 1.

2. Q is a square.

3. Q is an equilateral triangle.

4. Q is a square.

5. P and Q are squares.

6. P and Q are equilateral triangles.

Topic : 15.6 Two dimension and 3 dimension shapes Instruction : Calculate the areas for the following triangles.

3

Q 5 cm

9 cm

Q

13 cm

9 cm

Q 7 cm

12 cm Q

10 cm

7 cm 3 cm

Q

P

3 cm

3 cm 6 cm

4 cm P Q 6 cm

12 cm

Mathematics Module


No. Length (cm) Breadth (cm) Calculations Area

1 8 4 2 9 6 3 10 8 4 4.4 7 5 8.6 12 6 7 6.6 7 9 3.4 8 9 8 9 10 7

10 4.4 5

Mathematics Module


Topic : 15.7 Two dimensional and 3 dimensional shapes Instruction : The following diagrams consist of several squares of equal size . Find the area, in cm2, of the shaded regions. 1.

2.

3.

4.

5.

6.

7.

8.

Mathematics Module


Topic : 15.8 Two dimensional and 3 dimensional shapes Instruction : Find the areas of the following composite shapes. . 1.

2.

3. Q is a square.

4.

5. Q is a square.

6. Q is a square.

Q 4 cm

9 cm 15 cm

6 cm

Q 6 cm

14 cm

15 cm

6 cm

Q 5 cm

2 cm

12 cm

Q

6 cm

9 cm 9 cm

Mathematics Module


Topic : 15.9 Two dimensional and 3 dimensional shapes Instruction : Find the following volumes, in cm³ based on the measurements given.

Num. length (cm) breadth (cm) height (cm) Volume (cm³)

1. 8 cm 7 cm 5 cm 2. 9 cm 4 cm 4 cm 3. 10 cm 5 cm 6 cm 4. 3 cm 8 cm 4 cm 5. 4 cm 12 cm 5 cm 6. 5 cm 5 cm 5 cm 7. 6 cm 6 cm 6 cm 8. 8 cm 4.2 cm 9 cm 9. 12 cm 9 cm 2 cm

10. 8.5 cm 4 cm 5 cm

Mathematics Module


Topic : 15.10 Two dimensional and 3 dimensional shapes Instruction : Find the volume of the shapes below in cm³. P is a cube and Q is a

cuboid. 1.

2.

3.

4.

5.

6.

P 4 cm Q

12 cm

3 cm Q

5 cm

P

9 cm

2 cm

Q 2 cm

2 cm

14 cm

P P Q 6 cm

3 cm P 2 cm

Q

3 cm

4 cm

8 cm Q

2 cm

10 cm

Q

2 cm

5 cm 7 cm

Q 2 cm

6 cm

Mathematics Module


7.

8.

9.

10.

11.

12.

Mathematics Module


SHAPE AND SPACE

15.1 1 Cube 2 Pyramid 3 Pyramid 4 Cuboid 5 Cylinder 6 Sphere 7 Cuboid 8 Cone 9 Cylinder, cuboid 10 1,2,0 11 Pyramid , cylinder

12 Isoceles triangle, 2 13 Cuboid, 6 14 4

15.2

1 40 cm 2 24 cm 3 36 cm 4 24 cm 5 24 cm 6 24 cm

15.3

1 24 cm 2 20 cm 3 24 cm 4 24 cm 5 18 cm 6 24 cm

15.4

i. 38 cm ii. 30 cm iii. 32 cm iv. 28 cm v. 40 cm vi. 52 cm

15.5

1 28 cm 2 16 cm 3 45 cm 4 34 cm 5 32 cm 6 48 cm

15.6

1 16 cm2 2 27 cm2 3 40 cm2 4 15.4 cm2 5 10.3 cm2 6 23.1 cm2 7 15.3 cm2 8 36 cm2 9 35 cm2 10 11 cm2

15.7

1 14 cm2 2 17.5 cm2 3 6 cm2 4 18 cm2

5 10 cm2 6 12 cm2 7 8 cm2 8 10 cm2

15.8

1 34 cm2 2 72 cm2 3 60 cm2 4 45 cm2

5 35.5 cm2 6 90 cm2

15.9

1 280 cm2 2 144 cm2 3 300 cm2 4 96 cm2

5 240 cm2 6 125 cm2 7 216 cm2 8 302 cm2

9 216 cm2 10 170 cm2

15.10

1 136 cm3

2 215 cm3 3 72 cm3 4 116 cm3 5 130 cm3 6 132 cm3 7 2194 cm3 8 576 cm3 9 24 cm3 10 64 cm3 11 253 cm3 12 504 cm3

Mathematics Module


Mathematics Module


WEEK 16 – 21

UPSR MODEL TEST PAPER

TIME : PAPER 1 (I HOUR )

PAPER 2 (40 MINUTES)

OBJECTIVES

At the end of these weeks, the pupils would be able to : i) score more than 80% for every set of paper 1 and paper 2.

ii) answer the questions according to the allocated time.

GENERAL INSTRUCTIONS 1) This module consisits of 3 sets of Paper 1 and Paper 2 UPSR Model Test Papers. 2) Answer all the questions in the test papers.

Mathematics Module


GENERAL INSTRUCTIONS.

1) This question paper consists of 40 questions.

2) Answer all the questions.

3) For each question, choose the best option from the given options A , B, C and D . Then circle the answer.

SET 1

MATHEMATICS

PAPER 1 1 HOUR

Mathematics Module


1. Which of the following numbers when rounded off to the nearest hundred

becomes 200 000?

Manakah di antara nombor berikut apabila dibundarkan kepada ratus terdekat

menjadi 200 000?

A 199 909

B 200 047

C 200 979

D 200 105

2. Diagram 1 is a card with a quote written on it.

Rajah 1 menunjukkan satu rangkai kata

Diagram 1

Rajah 1

Express the letter “E” as a fraction of the whole quote. Nyatakan pecahan huruf “E” daripada semua huruf dalam rangkai kata itu.

A 317

B. 16

C 15

D 38

3. Convert 19% to a decimal . Tukarkan 19% kepada perpuluhan A 19.0

B 1.9 C 0.19 D 0.019

4. Which of the following distances is the shortest ? Di antara berikut yang manakah jarak yang paling dekat ? A 0.004 km

B 40 m C 4000 cm

D 40 000 mm

MANAGEMENT SOFTWARE

Mathematics Module


5. Which of the following conversions is false ? Di antara pernukaran unit berikut yang manakah salah ?

A 2.7 kg = 2700 g B 300 g = 0.3 kg C 1 kg 30 g = 1300 g D 2 500 g = 2 kg 500 g 6. Diagram 2 shows a triangle R and a square S. Rajah 2 menunjukkan sebuah segitiga R dan sebuah segiempat sama S.

Diagram 2 Rajah 2

Which of the following combinations of cards can form the shape of

a pyramid ? Di antara kombinasi berikut, yang manakah boleh membentuk sebuah

pyramid. A 1 piece of R and 5 pieces of S 1 keping R dan 5 keping S B 2 pieces of R and 4 pieces of S 2 keping R dan 4 keping S C 4 pieces of R and 2 pieces of S 4 keping R dan 2 keping S D 4 pieces of R and 1 piece of S 4 keping R dan 1 keping S 7. 2 343 × 18 = A 31 174

B 32 174 C 41 174

D 42 174

8. 1 010 000 - 74 435 = A 934 435

B 935 565 C 935 575

D 944 435

R

S

Mathematics Module


9. 2 27 × 1127 =

A 352

B 704 C 2576

D 2756

10. 77 + 15.7 = A 92.7

B 82.7 C 23.4

D 22.4 11. 60% of RM3 is 60% daripada RM3 ialah A 1.8 sen

B 18 sen C RM1.08

D RM1.80 12. 3090 ÷ ( 22 + 8 ) = A 13

B 103 C 130

D 1 030

13. (8 29 + 2 79 ) - 3 49 =

A 759

B 723

C 859

D 823

14. RM15.25 + RM2.75 - ( RM3.60 + 25 sen) = A RM15.85

B RM14.85 C RM14.15

D RM13.15

Mathematics Module


15. Diagram 3 shows a number line. Rajah 3 menunjukkan satu garis nombor. Diagram 3 Rajah 3 30% of P is 30% daripada nilai P ialah A 300

B 378 C 830 D 1010 16. Which of the following is correct ? Di antara berikut yang manakah benar ? A 55 sen × 100 = RM550 B 8 sen × 1 000 = RM8 C 250 sen ÷ 10 = RM0.25 D 3 000 sen ÷ 100 = RM3.00

17. 5 hours 20 minutes - 2 34 hours =

5 jam 20 minit - 2 34 jam =

A 3 hours 35 minutes 3 jam 35 minit

B 3 hours 15 minutes 3 jam 15 minit

C 2 hours 55 minutes 2 jam 55 minit

D 2 hours 35 minutes 2 jam 35 minit

18. 480 g × 60 = State the answer in kg . Nyatakan jawapan dalam kg. A 2880

B 288 C 28.8

D 2.88

930 2250 P 1920

Mathematics Module


19. 14 l - 750 m l - 5.3 l = State the answer in m l . Nyatakan jawapan dalam m l . A 8 950

B 7 950 C 5 100

D 2 100

20. Diagram 4 shows the mass of 3 stones . Rajah 4 menunjukkan berat 3 ketul batu.

400g 12 kg 3 570g

Diagram 4

Rajah 4 Find the average mass, in g, of a stone . Carikan purata berat, dalam g, seketul batu itu? A 1360

B 1 490 C 4 080

D 4 470 21 Razi sells oranges, apples and pears. He has 2200 oranges. The number of

apples is 300 more than the number of oranges. The number of pears is 450 less than the number of apples. What is the total number of apples and pears? Razi menjual oren, epal dan buah pir.Dia ada 2200 oren. Bilangan epal adalah 300 biji lebih daripada bilangan oren. Bilangan buah pir adalah 450 kurang daripada bilangan buah epal. Berapakah bilangan buah epal dan pir ? A 6 750 B 4 550 C 2 550 D 2 050

Mathematics Module


22. Diagram 5 shows a box containing red, blue and green pens.The total

number of pens is shown on the box. Rajah 5 menunjukkan sebuah kotak yang mengandungi pen berwarna merah, biru dan hijau. Jumlah pen dinyatakan pada kotak itu Diagram 5

Rajah 5

The number of red pens is 38 of the total number of pens. There are 160 blue

pens and the remaining are green. What is the fraction of green pens in the box ?

Bilangan pen merah adalah 38 daripada jumlah pen itu. Bilangan pen biru

adalah 160 batang dan bakinya adalah pen hijau. Berapakah bilangan pen berwarna hijau dalam kotak itu ?

A 58

B 18

C 12

D 14

23 Table 1 shows bills which Puan Era had received. Jadual 1 menunjukkan beberapa bil yang diterima oleh Puan Era.

Bill Bil

Amount Jumlah

Electric RM60.40 Internet RM41.00 Telephone RM103.20 Water RM35.40

Table 1 Jadual 1

Puan Era has only 85%of the total amount needed to pay the bills. How much more money does she need to settle the bills ? Puan Era hanya mempunyai 85% daripada jumlah bil itu. Berapakah yang perlu dia tambah untuk menyelesaikan bil itu ?

320 pens

Mathematics Module


A RM7.50 B RM36 C RM212.50 D RM250

24. Diagram 6 shows a dialog between the headmaster and Kelvin.

Rajah 6 menunjukkan dialog di antara seorang guru besar dengan Kelvin.

Diagram 6

Rajah 6 How much is the cost of the pen Kelvin bought ? Berapakah harga pen yang dibeli oleh Kelvin? A RM75 B RM85 C RM237.50 D RM475.50

Congratulations! You won RM850 . What are you going to do with the money? Tahniah. Anda memenangi RM850. Apakah yang anda anda buat dengan duit ini.

I’m going to give RM200 to my parents , spend RM175 , save the half and the rest to buy a pen. Saya akan berikan RM200 kepada keluarga, RM175 saya belanja. Separuh daripada disimpan dan bakinya saya belikan sebatang pen ?

Headmaster

Kelvin

Mathematics Module


25. Table 2 shows the grades and the number of pupils of year 6 Pintar in a Mathematics test. Jadual 2 menunjukkan gred dan bilangan murid tahun 6 Pintar dalam satu ujian Matematik.

Grade Gred

The number of pupils Bilangan murid

A 24 B 8 C 6 D 2

Table 2

Jadual 2

Find the percentage of pupils who did not get grade A in the test. Carikan peratus murid yang tidak mendapat gred A dalam ujian itu ? A 14% B 16% C 40% D 60%

26. Diagram 7 shows the time Azi left Melaka and reached Bukit Kayu Hitam.

Rajah 7 menunjukkan masa Azi bertolak dari Melaka dan waktu tiba di Bukit Kayu Hitam.

Departure Arrival Morning Evening 4 January 2008 5 January 2008

Diagram 7 Rajah 7

Calculate the duration of the journey. . Hitungkan tempoh masa perjalanan itu . A 6 hours 15 minutes 6 jam 15 minit B 9 hours 45 minutes 9 jam 45 minit C 18 hours 15 minutes 18 jam 15 minit D 30 hours 15 minutes 30 jam 15 minit

12

9

6

3

1 2

4 5 7

8

10 11 12

9

6

3

1 2

4 5 7

8

10 11

Mathematics Module


27. Diagram 8 shows 4 containers filled with water. Rajah 8 menunjukkan isipadu air dalam 4 buah bekas. P Q R S Diagram 8

Rajah 8

The volume in container S is 400 ml less than in container R. Find the average volume , in ml, in a container . Isipadu air dalam bekas S adalah 400 ml kurang daripada isipadu air dalam bekas R. Carikan purata isipadu, dalam ml, dalam sebuah bekas? A 1 140 B 1 240 C 4 560 D 5 360

28. Diagram 9 shows the mass of a packet of salt and a packet of rice .

Rajah 9 menunjukkan berat sepeket garam dan sepeket beras. Diagram 9

Rajah 9 Find the total mass, in kg, of 8 packets of salt and 2 packets of rice. Carikan jumlah berat, dalam kg, 8 peket garam dan 2 peket beras . A 5.09 B 5.90 C 10.72 D 17.20

960 ml

1800 ml

400ml

Salt Garam

90 g

RICE / Beras 5 kg

Mathematics Module


29. Diagram 10 shows the road connecting four towns W,X,Y and Z.

Rajah 10 menunjukkan jalan yang menghubungkan empat bandar W,X,Y dan

Z.

Diagram 10

Rajah 10

The distance from Y to X is 3 times the distance from Z to Y .

What is the total distance, in km, from W to X through Z and Y?

Jarak dari Y ke X adalah 3 kali jarak dari Z ke Y.

Berapakah jumlah jarak , dalam km, dari W ke X melalui Z dan Y ?

A 231

B 316

C 406

D 416

30 The mass of a box is 1.25 kg. Chitra puts 35 oranges into the box. The mass

of each orange is between 35 g and 50 g. Estimate the mass, in kg, of the box of oranges.

Berat sebuah kotak ialah 1.25 kg. Chitra memasukkan 35 biji oren ke dalam

kotak itu. Setiap oren itu beratnya diantara 35 g dan 50 g. Anggarkan berat , dalam kg, sekotak oren itu. A 1.3 B 1.6 C 2.3 D 2.8

Y

W Z

X 77 km

108 km

Mathematics Module


31 Table 3 shows the time taken by Low to revise his lesson. Jadual 3 menunjukkan waktu yang digunakan oleh Low untuk mengulangkaji

pelajaran.

Subject Mata pelajaran

Time taken Tempoh masa

English 2 hours 2 Jam

Mathematics 1 34 hours

1 34 jam

Science 2 hours 55 minutes 2 jam 55 minit

Bahasa Melayu 1 hour 40 minutes 1 jam 40 minit

Table 3

Jadual 3 . What is the average duration spent on each subject ? Berapakah purata masa yang digunakan untuk mengulangkaji setiap mata

pelajaran ? A 1 hour 55 minutes 1 jam 55 minit

B 2 hours 5 minutes 2 jam 5 minit

C 6 hours 40 minutes 6 jam 40 minit D 8 hours 20 minutes 8 jam 20 minit

Mathematics Module


32 Diagram 11 is an incomplete bar graph which shows the number of workers in

four factories.

Carta palang yang tidak lengkap pada Rajah 11 menunjukkan bilangan

pekerja dalam empat buah kilang.

Diagram 11

Rajah 11 The total number of workers in four factories is 630. The difference in number

of workers between factories G and H is 60.

Find the number of workers in factory K.

Jumlah pekerja dalam empat kilang itu ialah 630 orang. Perbezaan bilangan

pekerja antara kilang G dan H ialah 60 orang.

Cari bilangan pekerja dalam kilang K .

A 150

B 180

C 210

D 240

G

H

The

no. o

f wor

kers

B

ilang

an p

eker

ja

Factory Kilang J

K

Mathematics Module


33. Diagram 12 is an incomplete pictograph which shows the number of computers in 4 computer labs.

Piktograf yang tidak lengkap dalam Rajah 12 menunjukkan bilangan komputer yang terdapat dalam 4 buah makmal komputer.

Lab W Lab X Lab Y Lab Z

represents 5 computers mewakili 5 buah computer

Diagram 12 Rajah 12

The average number of computers in 4 computer labs is 25 . How many ‘ ’

is needed to be drawn for Lab Z ? Purata computer dalam setiap makmal ialah 25 buah. Berapakah bilangan

‘ ’ perlu dilukis pada makmal Z ? A 4

B 5 C 6

D 8

34. In diagram 13 , PQRS is a rectangle and STU is an equilateral triangle . Dalam rajah 13 , PQRS adalah sebuah segiempat tepat dan STU adalah

sebuah segitiga sama sisi. Diagram 13

Rajah 13 The perimeter of triangle STU is 18 cm. Calculate the perimeter , in cm, of the

whole diagram. Perimeter segitiga STU ialah 18 cm. Hitung perimeter, dalam cm, seluruh

rajah. A 60

B 54 C 48

D 42

P

Q R

S T

U

15 cm

Mathematics Module


35. Diagram 14 shows a cuboid P and a cube Q. Rajah 14 menunjukkan sebuah kuboid P dan sebuah kubus Q. Diagram 14 Rajah 14 Cuboid P and cube Q have the same volume. Find the value , in cm, of X. Isipadu kuboid P dan kubus Q adalah sama. Carikan nilai X, dalam cm A 2

B 3 C 4

D 5

36 Diagram 12 shows a frame in the shape of a rectangle . Rajah 12 menunjukkan bingkai berbentuk segiempat tepat. Diagram12 Rajah 12

Calculate the area , in cm² , of the shaded region. Hitung luas, dalam cm² , kawasan berlorek. A 8

B 36 C 46

D 108

6 cm

18 cm

4 cm

x cm

7 cm

13 cm

11 cm

5 cm

Mathematics Module


37. Diagram 16 shows an incomplete bill for the items bought by Azia.

Bil yang tidak lengkap dalam Rajah 16 menunjukkan pembelian barang oleh

Azia.

Diagram 16

Rajah 16 Azia pays with 2 pieces of RM50 note. How much is the balance ?

Azia membayar 2 keping RM50 .

Berapakah baki wangnya ?

A RM24.90

B RM25.90

C RM74.10

D RM75.10

Quantity Kuantiti

Item Barang

Price per unit

Harga seunit

Price Harga

6 packets peket

flour tepung RM2.70

300 g chillies cili

RM15 per kg

8 bottles botol

cooking oil minyak masak RM6.80

RM54.40

Total

Mathematics Module


38. Diagram 17 shows an equilateral triangle constructed using a piece of wire. Rajah 17 menunjukkan sebuah segitiga sama sisi terbina daripada seutas dawai. Diagram 17

Rajah 17 Which of the following shapes can be constructed using the same piece

of wire ? Di antara bentuk berikut yang manakah dibina menggunakan ukuran panjang

dawai yang sama.

A

B C

D

16 cm

14cm

14cm

10cm

16cm

6 cm

5 cm

21cm

Mathematics Module


39. Table 4 shows the number of flowers sold by four shops. Jadual 4 menunjukkan bilangan bunga yang dijual oleh empat buah kedai.

Table 4

Jadual 4 Which of the following statements is true? Di antara pernyataan berikut yang manakah benar ?

A The number of flowers sold by shop M is twice the number of flowers sold by shop Q.

Bilangan bunga yang dijual oleh kedai M adalah 2 kali bilangan bunga yang dijual oleh kedai Q .

B Shop N has the highest number of flowers sold.

Kedai N menjual bunga yang paling banyak.

C Shop P sold 83 flowers less than shop N. Kedai P menjual kurang 83 kuntum bunga daripada kedai N. D The difference in the number of flowers sold between shop M and shop

N is 36. Perbezaan bunga yang dijual oleh kedai M dengan kedai N adalah

sebanyak 36

Shop M Kedai

Shop N Kedai

Shop P Kedai

Shop Q Kedai

240 204 120

104

Mathematics Module


40. Table 5 shows the length of ribbon needed to tie 3 types of presents Jadual 5 menunjukkan panjang reben yang diperlukan untuk mengikat 3

jenis hadiah. Table 5 Jadual 5 What is the length of ribbon, in m, needed to tie all the presents? Berapakah panjang , dalam m, reben yang diperlukan untuk mengikat semua hadiah itu? A 1.32 B 5.1 C 13.2 D 51

KERTAS UJIAN TAMAT

Type of present Jenis hadiah

Quantity Kuantiti

Ribbon per unit

Length of ribbon

Small Kecil 6 70 cm

Medium Sederhana 2 1.5 m

Large Besar 3 2 m

Total of ribbonJumlah reben

Mathematics Module


ANSWER KEYS PAPER 1

SET 1

BIL SET1 1 B 2 B 3 C 4 A 5 C 6 D 7 D 8 B 9 C

10 A 11 D 12 B 13 A 14 C 15 B 16 C 17 D 18 C 19 B 20 B 21 B 22 B 23 B 24 C 25 C 26 D 27 A 28 C 29 D 30 D 31 B 32 B 33 C 34 C 35 B 36 B 37 A 38 A 39 D 40 C

Mathematics Module



1) This text paper consists of 20 questions.

2) Answer all the question.

3) Show the steps involved in calculating the answer.

SET 1

MATHEMATICS

PAPER 2

40 MINUTES

Mathematics Module


1 1M

Diagram 1 shows five number cards. Rajah 1 menunjukkan lima kad nombor. Construct the biggest five digit number from the cards. Binakan nombor terbesar lima digit daripada kad-kad itu.

2 1M

Diagram 2 shows a number line. Rajah 2 menunjukkan satu garis nombor. Find the value of M Nilai M ialah

3 1M

Convert 8.07 to a mixed number. Tukarkan 8.07 kepada nombor bercampur.

4

7 062 ÷ 6 =

5. 1M

Diagram 3 shows a weighing scale without a pointer. Rajah 3 menunjukkan satu dacing tanpa jarum. Draw the pointer to show the mass of a cuboid which is 650 g . Lukiskan jarum yang menunjukkan berat kuboid itu ialah 650g?

9 0 2 6 0

0

250 750

1 kg

g

500

Diagram 1 Rajah 1

Diagram 3 Rajah 3

59 M 1

Diagram 2 Rajah 2

23

Mathematics Module


6. 2M

Simplify 148 then state the answer in mixed numbers.

Permudahkan 148 , kemudian nyatakan jawapan dalam nombor bercampur.

7. 2M

0.904 × 7 =

8. 2M

( 545 + 367) ÷ 12

9. 2M

2.8 kg + 0.97 kg = State the answer in g. Nyatakan jawapan dalam g.

Mathematics Module


10. 2M

RM45 + 65 sen + RM13.90 =

11. 2M

60 years -- 38 years = State the answer in months. 60 tahun – 38 tahun = Nyatakan jawapan dalam bulan.

12. 2M

85% of 480 birds = Berapakah 85% daripada 480 ekor burung?

13. 2M

Diagram 4 shows a shape. Rajah 4 menunjukkan sebuah bentuk.

Name the shape Namakan bentuk itu.

State the number of symmetry lines of the shape Nyatakan bilangan garisan simetri bentuk itu.

Diagram 4 Rajah 4

Mathematics Module


14.. 2M

Diagram 5 shows a cuboid. Rajah 5 menunjukan sebuah kuboid. Calculate the volume, in cm³ , of the cuboid. Hitung isipadu , dalam cm³ , kuboid itu.

15. 2M

Diagram 6 shows the time Fahmi reached his house after walking from school. Rajah 6 menunjukkan masa Fahmi tiba dirumahnya selepas berjalan dari sekolah. His journey took 50 minutes At what time did he depart from school ? Dia mengambil masa 50 minit. Pada pukul berapakah dia bertolak dari sekolahnya?

16. 3M

Diagram 7 shows a rectangle P and a square Q Rajah 7 menunjukkan sebuah segiempat tepat P dan sebuah segiempat sama Q. Calculate the difference in area, in cm² , between rectangle P and Q . Hitung beza luas, dalam cm² , antara segiempat tepat P dan Q.

17. 3M

The distance from Hani’s house to town is 8 km. She drives to town and stops at Farah’s house after driving 4.8 km. What is the distance, in m, between Farah’s house and the town ? Jarak dari Rumah Hani ke Bandar ialah 8 km. Dia memandu ke Bandar dan berhenti di rumah Farah selepas memandu sejauh 4.8 km. Berapakah jarak , dalam m, dari Rumah Farah ke Bandar ?

12

9

6

3

1 2

4 5 7

8

10 11

3 cm

4 cm

8 cm

6 cm

5 cm

9 cm

Diagram 7 Rajah 7

Diagram 5 Rajah 5

Diagram 6 Rajah 6

Mathematics Module


18. 3M

Table 1shows the mass of 3 pupils Jadual 1 menunjukkan berat 3 orang murid.

Pupils Murid

Mass of the pupil Berat murid

Zaili 48 kg Zaidi 67 kg Zaiful 49 kg

What is the average mass, in kg, of a pupil ? Berapakah purata berat, dalam kg, setiap murid ?

19. 3M

Menachee buys 6 boxes of chocolate. Each box contains 36 smaller chocolates. She gives 50 smaller chocolates to her brother and keeps the rest. How many smaller chocolates does she keep ? Menachee membeli 6 kotak coklat. Setiap kotak mengandungi 36 biji coklat. Dia memberikan 50 biji coklat kepada adiknya dan bakinya disimpan. Berapa biji coklat yang dia simpan ?

20. 3M

Jemy prepared 5.2 ℓ of syrup. He poured 2.8 ℓ into jug P and the remainder equally into jug X,Y and Z . How much is the volume of syrup , in mℓ , in the jug Z ? Jemy menyediakan 5.2 ℓ air sirap. Dia menuang 2.8 ℓ ke dalam jug P dan bakinya sama banyak ke dalam jug X,Y dan Z. Berapakah isipadu , dalam mℓ, air sirap dalam jug Z?

KERTAS UJIAN TAMAT

Table 1 Jadual 1

Mathematics Module


ANSWER KEYS PAPER 2

SET 1

Q SET 1 1 96 200

2 8

9

3 8

7100

4 1177

5 650 g

6 1

34

7 6.328

8 72

9 3770

10 RM59.55

11 264 months

12 408

13 a. non polygon b. 1

14 96 cm3

15 1.25 p.m

16 9 cm2

17 3200 m

18 54.7 kg

19 166

20 0.8

Mathematics Module





3) For each question, choose the best option from the given options A , B, C and D . Then circle the answer

SET 2

MATHEMATICS

PAPER 1 1 HOUR

Mathematics Module


1. Extended notation for 40 678 is Cerakinan bagi 40 678 ialah A 40 000 + 678 B 40 000 + 670 + 8 C 40 000 + 600 + 78 D 40 000 + 600 + 70 + 8 2. 0.076 million = 0.076 juta = A 7 600 000

B 760 000 C 76 000

D 7 600 3. Diagram 1 shows a number line. Rajah 1 menunjukkan satu garis nombor. Diagram 1

Rajah 1 X = A 4.9

B 5.6 C 6.3

D 7.0

4. Which of the following pairs of times in the 12-hour system and 24-hour system does not match?

Di antara pasangan waktu dalam sistem 12 jam dan sistem 24 jam , yang manakah tidak sepadan waktunya. 12-hour system 24-hour system Sistem 12 jam Sistem 24 jam A 12.15 a.m. 0015 hours B 11.20 a.m. 2320 hours C 5.30 p.m 1730 hours D 8.15 p.m 2015 hours

2.8 X 3.5 4.2

Mathematics Module


5. Convert 2.7 cm to mm. Tukarkan 2.7 cm kepada mm . A 0.27

B 0.027 C 27

D 270 6. Diagram 2 ,shows the shapes P,Q , R and S Rajah 2 menunjukkan bentuk P,Q,R dan S Diagram 2

Rajah 2 Which of the following shapes is not a quadrilateral? Di antara bentuk- bentuk itu yang manakah bukan segiempat? A T

B S C R

D P 7. 149 147 ÷ 37 = A 431

B 4031 C 4301

D 4310 8. What is the product of 4 807 and 15 ? Apakah hasil darab di antara 4807 dengan 15 ? A 72 105

B 72 005 C 62 105

D 62 005

R

S T

P

Mathematics Module


9. 13 - 2 14 =

A 1134

B 11 14

C 1034

D 10 14

10. What is the difference between 30 and 25.299 ? Berapakah beza di antara 30 dengan 25.299? A 5.299

B 5.701 C 4.701

D 4.299 11. 30% of 2 minutes is 30% daripada 2 minit ialah A 6 seconds/ saat

B 18 seconds/ saat C 36 seconds/ saat

D 60 seconds/ saat 12. 6 815 + 532 × 16 = A 15 227

B 15 327 C 107 480

D 117 480 13. 5.73 - 0.09 + 3.567 = A 8.107

B 8.207 C 9.107

D 9.207 14. RM 4800 + ( RM1233 ÷ 9 ) = A RM5037

B RM4937 C RM4763

Mathematics Module


D RM4863 15. Diagram 3 shows several numbers arranged in sequence. Rajah 3 menunjukkan susunan nombor mengikut urutan.

Diagram 3 Rajah 3

23 of P is

23 daripada P ialah

A 84

B 168 C 252

D 378 16. 7.386 × 4 = State the answer to the nearest tenths. Nyatakan jawapan kepada persepuluh yang terdekat. A 29.544

B 29.54 C 29.6

D 29.5

17 5 hours 45 minutes + 2 23 hours =

5 jam 45 minit + 2 23 jam =

A 8 hours 18 minutes 8 jam 18 minit B 8 hours 25 minutes 8 jam 25 minit C 9 hours 18 minutes 9 jam 18 minit D 9 hours 25 minutes 9 jam 25 minit

18. 3 25 × 5.1 km =

A 2040 m

B 6120 m C 15 300 m

D 17 340 m

200 , 213 , 226 , 239 , P

Mathematics Module


19. 5.6 ℓ + 2 ℓ 50 m ℓ + 1 14 ℓ =

A 4 100 mℓ B 4 200 mℓ

C 8 800 mℓ D 8 900 mℓ

20. What is the average length, in cm, of 4.6 m , 2 m 70 cm, 40 cm and 310 cm?

Berapakah purata panjang, dalam cm, bagi 4.6 m , 2 m 70 cm , 40 cm dan 310 cm? A 270 B 1080 C 1 350 D 5 220

21. There are 560 beads in a box . The number of green, red and yellow beads is

the same. The number of blue beads is 83. How many of them are red ?

Terdapat 560 biji manik dalam sebuah kotak. Bilangan manik hijau, merah dan kuning adalah sama. Bilangan manik berwarna biru adalah 83 biji. Berapakah bilangan manik berwarna merah ?

A 121

B 159 C 212

D 220

22. Puan Niza bought a pizza. She cuts the pizza into 16 wedges of equal size.

Najwa ate 14 of the pizza. Najiha ate 13 of the remaining pizza. Find the

number of wedges of pizza left. Puan Niza membeli sekeping pizza. Dia memotong kepada 16 bahagian yang

sama besar. Najwa memakan 14 daripadanya . Najiha makan

13 daripada

bakinya. Berapakah bahagian yang masih tinggal ? A 12

B 8 C 6

D 4

Mathematics Module


23. There are 80 pupils in a hall. 14 are Malays, 34 Chinese and the rest are Indians. What is the percentage of Indian pupils in the hall ?

Seramai 80 orang murid berada di dewan. 14 daripadanya Melayu , 34 orang Cina dan bakinya murid India. Berapakah peratus murid India dalam dewan itu ? A 32 B 40 C 48 D 60

24 One file costs RM12.50. Darshan buys 40 files.He gets a discount of RM2

on each file. How much does he have to pay ? Harga kos sebuah fail ialah RM12.50. Darshan membeli 40 fail. Dia mendapat diskaun RM2 setiap fail. Berapakah yang perlu dia bayar ? A RM10.50 B RM14.50 C RM420 D RM580

25. Table 1 shows the price of tickets to the zoo.

Jadual 1 menunjukkan harga tiket masuk ke zoo.

Ticket Tiket

Price Harga

Adult Dewasa

RM12.00

Children Kanak-kanak

Half price of the adult Separuh harga daripada dewasa

Senior citizen Warga emas

RM5.00

Table 1

Jadual 1

Mr Wong buys 3 tickets for adults, 5 tickets for children and 2 tickets for senior citizens. What is the total amount he has to pay? En Wong membeli 3 tiket orang dewasa, 5 tiket kanak-kanak dan 2 tiket warga emas. Berapakah jumlah yang perlu dia bayar ? A RM23 B RM40 C RM66 D RM76

Mathematics Module


26 Diagram 5 shows the departure time of a bas from Johor Bharu to Kuala Terengganu in the evening.

Rajah 5 menunjukkan masa bertolak sebuah bas dari Johor Bharu ke Kuala

Trengganu pada waktu malam. Diagram 4 Rajah 4

The journey takes 10 34 hours. At what time does the bus arrive in Kuala

Trengganu?.

Perjalanan bas itu mengambil masa 10 34 jam. Pada pukul berapakah bas itu

sampai di Kuala Trengganu. A 8.25 a.m.

B 10.25 a.m. C 8.25 p.m.

D 10.25 p.m. 27 Diagram 5 shows the distance between three towns X,Y and Z Rajah 5 menunjukkan jarak di antara tiga Bandar X,Y dan Z. Diagram 5 Rajah 5 Isma drives from X to Z through Y. She stops to rest halfway between X and

Z. How far, in km, is Isma from Y when she is resting? Isma memandu keretanya dari X ke Z melalui Y. Dia berhenti rehat pada

pertengahan jarak antara X dan Z. Berapakah jauh, dalam km, Isma dari Y bila dia berhenti rehat?

A 45

B 36.6 C 29.8

D 28.2

12

9

6

3

1 2

4 5 7

8

10 11

X Y Z 16.8 km 73.2 km

Mathematics Module


28. Diagram 6 shows the mass of three types of fruits. Rajah 6 menunjukkan berat tiga jenis buah-buahan. Diagram 6

Rajah 6 Which of the following weighing scales shows the total mass of all the fruits

shown above? Antara penimbang berikut, yang manakah menunjukkan jumlah berat semua

buah –buah itu ? A B C D.

860 g 1.8 kg 0.64 kg

0

1

2 3

4

5

kg

0

1

2 3

4

5

kg

0

1

2 3

4

5

kg

0

1

2 3

4

5

kg

Mathematics Module


29. Diagram 7 shows the volume of water in containers P, Q and R. Rajah 7 menunjukkan isipadu air dalam bekas P, Q dan R. P Q R Diagram 7 Rajah 7 The volume of water in container R is 250 mℓ less than the volume of water in

container P. What is the difference between the volume of water, in ℓ , in container Q and R.?

Ispadu air dalam bekas R ialah 250 mℓ kurang daripada ispadu air dalam

bekas P. Berapakah beza isipadu air, dalam ℓ, dalam bekas Q dengan bekas R ? A 0.630

B 0.71 C 1.04

D 1.14 30. Table 2 shows the ages of three pupils. Jadual 2 menunjukkan umur tiga orang murid.

Pupils Murid

Age Umur

Jamal 10 years 9 months 10 tahun 9 bulan

Hazim 11 years 3 months 11 tahun 3 bulan

Syafiq 9 years 9 months 9 tahun 9 bulan

Table 2

Jadual 2 Determine the average age of each boy . Tentukan purata umur setiap murid. A 10 years 7 months 10 tahun 7 bulan B 10 years 9 months 10 tahun 7 bulan C 30 years 7 months 10 tahun 7 bulan D 31 years 9 months 10 tahun 7 bulan

960 mℓ 1 34 ℓ

P Q R

Mathematics Module


31. Diagram 8 is a pie chart which shows Adam’s monthly expenses. Rajah 8 ialah sebuah carta pai yang menunjukkan perbelanjaan bulanan

Adam. Diagram 8

Rajah 8 Adam spends RM320 on food. How much does he save in a month ? Adam membelanjakan RM320 untuk makanan. Berapakah wang yang dia

simpan setiap bulan? A RM120

B RM160 C RM200

D RM300 32. Diagram 9 is an incomplete pictograph which shows Encik Fendi’s sales of

oranges. Piktograf yang tidak lengkap dalam Rajah 9 menunjukkan penjualan oren

oleh Encik Fendi.

March ☼ ☼ ☼ ☼ ☼ ☼ ☼ April ☼ ☼ ☼ ☼ ☼ ☼ May ☼ ☼ ☼ ☼ June ☼ represents 35 boxes of oranges

mewakili 35 kotak limau

Diagram 9 Rajah 9

The total sale in the four months is 700 boxes. How many boxes did he sell in June ?

Jumlah jualan dalam empat bulan itu ialah 700 buah kotak limau. Berapakah kotak limau yang dijual dalam bulan Jun?

A 595 B 295 C 105 D 3

Cloths, 25%

Food, 40%

Bus fare, 20%

, , , Savings ,

Mathematics Module


33. The bar chart in Diagram 10 shows Mrs Leong’s expenditure in the month of June. Carta palang dalam Rajah 10 menunjukkan perbelanjaan Mrs Leong dalam bulan Jun.

Diagram 10 Rajah 10

Mrs Leong’s monthly salary is RM3000. How much money does she have at the end of June ? Gaji bulanan Mrs Leong ialah RM3000. Berapakah baki wangnya pada akhir bulan Jun ? A RM1250 B RM1350 C RM1650 D RM1750

34 On each trip, a bus carries 32 passengers. Each passenger pays between RM2 to RM3 for the ticket. Estimate the total ticket collection for 12 trips.

Bagi setiap perjalanan sebuah bas membawa 32 orang penumpang. Setiap

penumpang membayar antara RM2 dan RM3 untuk setiap tiket. Anggarkan jumlah kutipan bagi 12 perjalanan bas itu

A RM700

B RM750 C RM1100

D RM1200

Exp

endi

ture

(RM

) Pe

rbel

anja

an (R

M)

Food

M

akan

an

Util

ity

Bil-

bi;

Mak

e up

Al

at s

olek

100

200

300

400

500

Petr

ol

Petr

ol

Ren

tal

Sew

a

Mathematics Module


35 Diagram 11 consists of a square and two isosceles triangles of the same size .

Rajah 11 mengandungi sebuah segiempat sama dan dua buah segitiga sama kaki yang sama besar.

Diagram 11 Rajah 11

The perimeter of an isosceles triangle is 29 cm. Find the perimeter, in cm, of

the whole diagram. Perimeter sebuah segitiga sama kaki itu ialah 29 cm Carikan perimeter,

dalam cm, seluruh rajah. A 88

B 78 C 68

D 58 36 Diagram 12 shows a container with some water.

Rajah 12 menunjukkan sebuah bekas yang berisi air.

Diagram 12 Rajah 12

The base of the container is a square. The volume of water in the container is 1024 cm³ Find the value of h . Tapak bekas itu berbentuk segiempat sama. Isipadu air dalam bekas itu ialah 1024 cm³ . Cari nilai h. A 64 B 32 C 16 D 12

12 cm

h cm

8 cm

Mathematics Module


37. Diagram 13 shows a rectangle PQRS and a square WXPR. Rajah 13 menunjukkan sebuah segiempat tepat PQRS dan sebuah

segiempat sama WXRP.

Diagram 13 Rajah 13

Calculate the area , in cm² , of the shaded region. Kirakan luas, dalam cm² , kawasan berlorek. A 60

B 79 C 109

D 139 38 Table 3 shows the price of four items and the discount given to them. Jadual 3 menunjukkan harga dan diskaun yang diberikan kepada empat buah

barang.

Item Barang

Price Harga

Discount Diskaun

W RM330 10% X RM280 5% Y RM450 25% Z RM500 40%

Table 3 Jadual 3 Which of the following items is the most expensive after discount ? Antara barang berikut yang manakah paling mahal selepas diberi diskaun ? A W

B X C Y

D Z

P Q

R S

W

X

5 cm

12 cm

13 cm

Mathematics Module


39 Diagram 14 shows a cube. Rajah 14 menunjukkan sebuah kiub. Diagram 14

Rajah 14 Which of the following shapes does not have half the volume of the cube ? Di antara bentuk berikut, yang manakah isipadunya separuh daripada isipadu

kiub ? A B

B

C D

6 cm

3 cm

12 cm 3 cm

9 cm

2 cm 6 cm

3 cm

4 cm

9 cm

Mathematics Module


40. The incomplete bill in diagram 15 shows the items bought by Fazira. Bil yang tidak lengkap pada rajah 16 menunjukkan barang yang dibeli oleh

Fazira.

Quantity Kuantiti

Item Barang

Price per unit Harga seunit

Price Harga

2 HammersPenukul

RM9.50

4 packets Nails Paku

RM6 RM24.00

20 Bulbs mentol

RM2.50

Total / jumlah Diagram15 Rajah 15 Fazira paid the bill with a RM100 note. How much change did she get ? Fazira membayar bil itu dengan sekeping RM100 . Berapakah baki yang

diterimanya? A RM7.00

B RM17.00 C RM83.00

D RM93.00

KERTAS UJIAN TAMAT

Mathematics Module


ANSWER KEYS

PAPER 1 SET 2

BIL SET2

1 D 2 C 3 C 4 B 5 C 6 A 7 B 8 A 9 C 10 C 11 C 12 B 13 D 14 B 15 B 16 D 17 B 18 D 19 D 20 A 21 B 22 B 23 B 24 C 25 D 26 B 27 D 28 B 29 C 30 A 31 A 32 C 33 A 34 C 35 B 36 C 37 D 38 C 39 A 40 A

Mathematics Module






SET 2

MATHEMATICS

PAPER 2 40 MINUTES

Mathematics Module


1 1M

Write the number in numerals Tulis nombor di bawah dalam angka.

2 1M

Convert 0.7 to a percentage Tukarkan 0.7 kepada peratus..

3 1M

Diagram 1 shows a number line. Rajah 1 menunjukkan satu garis nombor. What is the value of Z . Apakah nilai Z

4 1M

66 487 + 8 877 =

5. 1M

Diagram 2 shows the mass of a watermelon. Rajah 2 menunjukkan berat sebiji tembikai. What is the mass, in g, of the watermelon? Apakah berat, dalam g, tembikai itu?

0.24 0.42 Z 0.3 0.36

Forty thousand and twenty Empat puluh ribu dua puluh

Diagram 1 Rajah 1

0

250 750

1 kg

g

500

Diagram 2 Rajah 2

Mathematics Module


6. 2M

Multiply 3.19 with 1000 is Darabkan 3.19 dengan 1000 ialah

7. 2M

90 sen + RM77 - RM12.95 =

8. 2M

( 1232 - 98 ) ÷ 7 =

9. 2M

0.08 km × 9 = Give the answer in m. Berikan jawapan dalam m.

Mathematics Module


10. 2M

45 years + 77 years = State the answer in decades and years. 45 tahun + 77 tahun = Nyatakan jawapan dalam dekad dan tahun.

11. 2M

37 of 560 hats is green and the rest are red. How many hats are red ?

37 daripada 560 buah topi berwarna hijau dan baki berwarna merah.

Berapakah bilangan topi berwarna merah?

12. 2M

Diagram 3 shows several shapes. Rajah 3 menunjukkan beberapa bentuk. Find the number of symmetry lines. Carikan bilangan garisan simetri. a) b)

13. 2M

What is the average of 4 , 6.8 and 15 ? Berapakah purata bagi 4 ,6.8 dan 15 ?

Diagram 3 Rajah 3

Mathematics Module


14. 2M

Diagram 4 consists of three rectangles of the same size. Rajah 4 mengandungi tiga segiempat tepat yang sama saiz. Calculate the area , in cm² , of the whole diagram. Hitung luas, dalam cm² , seluruh rajah.

15. 2M

Diagram 5 shows a square P and an equilateral triangle Q. Rajah 5 menunjukkan sebuah segiempat sama P dan sebuah segitiga sama sisi Q. Calculate the perimeter, in cm, of the shaded region. Hitungkan perimeter, dalam cm, kawasan berlorek.

16. 3M

Diagram 6 shows a cube. Rajah 6 menunjukkan sebuah kubus. Calculate the volume , in cm³, of the 3 similar cubes. Hitung isipadu, dalam cm³, 3 kubus yang sama.

17. 3M

70% of 320 pupils go to school by bus , 25 % of them by motocycles and the rest are walking. How many pupils walk to school? 70% daripada 320 orang murid pergi kesekolah menaiki bas, 25% daripadanya menaiki motosikal dan bakinya berjalan kaki. Berapakah bilangan murid yang berjalan kaki ke sekolah ?

6 cm

3 cm

8 cm

Q

P

2 cm

Diagram 6 Rajah 6

Diagram 5 Rajah 5

Diagram 4 Rajah 4

Mathematics Module


18. 3M

Table 1 shows the price of two types of grape Jadual 1 menunjukkan harga dua jenis anggur.

Grape Anggur

Price per 100g Harga setiap 100 g

Red merah

RM1.50

Black hitam

RM1.20

Vinitha has RM15. She buys 600 g of red grapes and 400 g of black grapes. How much is her balance? Vinitha ada RM15. Dia membeli 600 g anggur merah dan 400 g anggur hitam. Berapakah baki wangnya?

19. 3M

Table 2 shows the volume of water in 3 containers. Jadual 2 menunjukkan isipadu air dalam 3 buah bekas.

Container bekas

Volume of water isipadu air

P 360 mℓ Q 1200 mℓ R 900 mℓ

Calculate the average volume of water , in mℓ , in a container . Hitung purata, dalam mℓ, setiap bekas.

20. 3M

Diagram 7 shows the length of a straight wood. Rajah 7 menunjukkan panajng sebatang kayu lurus.

The wood is cut equally into 4 parts. What is the length , in cm,,of each part ? Kayu itu dipotong sama panjang kepada 4 bahagian. Berapakah panjang , dalam cm, setiap bahagian ?

1 m

2 m

Diagram 7 Rajah 7

Table 2 Jadual 2

Table 1 Jadual 1

Mathematics Module


KERTAS UJIAN TAMAT

ANSWER KEYS PAPER 2

SET 2

NO. SET 2 1 40 020

2 70 % 3 0.48 4 75 364

5 850 g

6 3190 7 RM 64.95

8 162

9 720 m

10 12 decades

2 years

11 320

12 a. 1 b. 4

13 8.6 14 54 cm2 15 40 cm

16 24 cm3 17 16

18 RM 1.20

19 820 ml

20 45 cm

Mathematics Module





3) For each question, choose the best option from the given options A , B, C and D . Then circle the answer

SET 3

MATHEMATICS

PAPER 1 1 HOUR

Mathematics Module


1. Which of the following numbers has the smallest value ? Di antara nombor berikut manakah yang paling kecil nilainya ?

A 4 12 million

B 4 14 million

C 4.08 million D 4.2 million 2. The extended notation of 6.045 is Cerakinkan bagi 6.045 ialah A 6 + 0.45

B 6 + 0.045 C 6 + 0.4 + 0.05

D 6 + 0.04 + 0.005 3. 7 sen = A RM7 B RM0.70 C RM0.07 D RM0.007 4. Diagram 1 shows the time on a digital clock. Rajah 1 menunjukkan waktu pada sebuah jam digital. Diagram 1 Rajah 1 Convert the time to the 12 hour system. Tukarkan waktu itu kepada system 12 jam. A 3.05 a.m B 9.05 a.m. C 3.01 p.m D 9.05 p.m

21 : 05

Mathematics Module


5. Diagram 2 shows the length of a wood. Rajah 2 menunjukkan panjang sebatang kayu.

Diagram 2 Rajah 2 What is the length , in mm, of the wood? Berapakah panjang, dalam cm, kayu itu? A 13.2 B 12.2 C 132 D 120 6. Diagram 3 shows the shapes P,Q , R and S Dalam rajah 3 menunjukkan bentuk-bentuk P,Q , R dan S . Diagram 3 Rajah 3 Which of the following shape has a line of symmetry? Bentuk yang manakah mempunyai garisan simetri. A P B Q C R D S 7. 105 638 ÷ 26 = A 463 B 4 063 C 4 603

P

Q

R S

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

m

Mathematics Module


D 4 630 8. 342 000 - 88 645 = A 253 355 B 254 355 C 263 355 D 264 355

9. 23 ÷ 6 =

A 19

B 14

C 4 D 9 10. What number must be subtracted from 40 to make 18.257 ? Apakah nombor yang perlu ditolak daripada 40 supaya menjadi 18.257 ? A 21.743 B 21.853 C 38.257 D 58.257 11. 130% of 4.8 kg = 130% daripada 4.8 kg ialah A 62 400 g B 6 240 g C 624 g D 62.4 g 12. 900 - 300 ÷ 5 = A 960 B 840 C 240 D 120 13. 46.07 + 203 - 20.7 = A 27.50

Mathematics Module


B 28.20 C 218.57 D 228.37 14. RM10.15 – (RM3.75 + RM2) + 85 sen = A RM6.25 B RM5.25 C RM4.45 D RM3.60

15. 9 31000 - 1 3

100 =

A 0.793 B 7.73 C 7.97 D 7.973 16. Which of the following has the largest value ? Di antara berikut , hasil yang manakah paling besar ? A 40% of 500

B 50% of 450 C 60% of 400

D 70% of 300

17. The total of 3 34 m and 65 cm is

Jumlah bagi 3 34 m dan 65 cm ialah

A 440 cm B 399 cm C 68.75 cm D 68.34 cm

18 The average of 25, 39, 40 , 50 and P is 35 .

The value of P is Purata bagi 25 , 39 , 40 , 50 dan P ialah 35. Nilai bagi P ialah A 13 B 15 C 21 D 30

Mathematics Module


19 Which of the following beakers shows the sum of 125 m l , 275 m l and

112 l ?

Di antara isipadu air dalam bekas yang manakah menunjukkan hasil tambah

bagi 125 m l , 275 m l dan 1 12 l ?

A B C D 20. 5.67 kg × 11 = A 623 700 g B 62 370 g C 6 237 g D 623.7 g

21. There are 39 red apples and 17 green apples. 8 of them are rotten and

thrown away. The rest are shared equally among Lina and her 3 brothers. How many apples does Lina get ?

Sebanyak 39 epal merah dan 17 epal hijau terdapat dalam sebuah bakul. 8 daripadanya rosak dan dibuang. Baki yang elok dikongsi sama banyak antara Lina dan 3 orang adiknya. Berapakah epal yang Lina dapat ?

A 8 B 12 C 16 D 18

1liter

2liter

1liter

2liter

1liter

2liter

1liter

2liter

Mathematics Module


22. The incomplete table 1 shows the number of apples sold in 3 days. Jadual 1 yang tidak lengkap menunjukkan bilangan epal yang dijual dalam

masa 3 hari

Day Hari

Green Hijau

Red Merah

Sunday Ahad

86 74

Tuesday Selasa

62

Thursday Khamis

78

Table 1 Jadual 1 The total number of apples sold every day is the same. What is the total of

green apples sold on Tuesday and Thursday ? Jumlah epal yang dijual tiga hari itu adalah sama. Berapakah jumlah jualan

epal hijau pada hari Selasa dan Khamis ? A 128 B 140 C 160 D 180

23 Raju has 216 eggs . He sold 13 of them on Monday and 14 of the remaining

eggs on Tuesday . How many eggs were left?

Raju ada 216 biji telur. Dia menjual 13 daripadanya pada hari Isnin dan

14

daripada bakinya pada hari Selasa. Berapakah baki telur yang tinggal ? A 144 B 108 C 36 D 21

Mathematics Module


24. Diagram 4 shows a piece of meat that was cut into four parts. Rajah 4 menunjukkan seketul daging dipotong kepada empat bahagian. Diagram 4 Rajah 4 What is the percentage of part Y from the total mass? Berapakah peratus Y daripada jumlah berat itu ? A 40 B 36 C 12 D 12 25. Diagram 5 shows the price of a television set before discount. Rajah 5 menunjukkan harga sebuah televisyen sebelum diberi diskaun. Diagram 5 Rajah 5

Mohan bought the television set with a discount of 18%. He was given RM16

as a balance. How much money did he have at first? Mohan membeli televisyen itu dan mendapat diskaun 18%. Dia diberi baki

sebanyak RM16. Berapakah wangnya pada mulanya? A RM1016 B RM1000 C RM984 D RM968

W X

Y Z

680 g 1.2 kg

800 g

320 g

RM1200

Mathematics Module


26. Diagram 6 shows the price of a radio and a handset. Rajah 6 menunjukkan harga sebuah radio dan sebuah telefon bimbit?.

RM700 Diagram 6 Rajah 6

The price of the handset is 34 of the price of the radio. How much is the price

of 3 handsets ?

Harga telefon bimbit itu adalah 34 daripada harga radio itu. Berapakah harga

3 buah telefon bimbit itu ?

A RM175 B RM525 C RM1 225 D RM1 575

27. Table 2 shows the starting and ending time of four television programmes.

Jadual 2 menunjukkan waktu mula dan tamat empat siaran televisyen.

Program Start End W 1830 hrs 1900 hrs X 1805 hrs 2000 hrs Y 0815 hrs 1000 hrs Z 0945 hrs 1100 hrs

Table 2 Jadual 2 Which is the longest programme? Tayangan manakah yang paling lama ? A W B X

Mathematics Module


C Y D Z

28. The mass of a box is 1.5 kg . Tina puts 4 papayas into the box. The mass of each papaya is 800 g. She weighs the box with the papayas. Which of the following scales shows the correct reading ?

Berat sebuah kotak ialah 1.5 kg. Tina meletakkan 4 biji betik ke dalam kotak

itu. Setiap betik beratnya 800 g. Kemudian dia menimbang kotak dan betik-betik itu. Di antara bacaan berikut yang manakah benar ?

A B

0

1

2 3

4

5

kg

0

1

2 3

4

5

kg

C D

0

1

2 3

4

5

kg

0

1

2 3

4

5

kg

29. Diagram 7 shows the road map of three places P,Q and R . Rajah 7 menunjukkan peta jalan tiga buah tempat P,Q dan R. Diagram 7 Rajah 7

Haris cycled from P to Q then to R. After cycling 23 of the distance of QR, his

bicycle broke down. Find the total distance, in km, covered by him?

Haris berbasikal dari P ke Q kemudian ke R. Selepas berbasikal 23 daripada

jarak QR , basikalnya rosak. Berapakah jumlah jarak, dalam km, yang dilaluinya.

A 88

P Q

R

72 km

24 km

Mathematics Module


B 48 C 24 D 16 30. Diagram 8 shows the number of marbles in four boxes.

Rajah 8 menunjukkan bilangan guli dalam empat buah kotak.

Diagram 8 Rajah 8

Ady added a few more marbles into one of the boxes. Now the average number of marbles in the four boxes has become 90. How many marbles did Ady add ? Ady menambahkan beberapa guli kedalam salah satu kotak itu. Purata guli dalam setiap kotak menjadi 90. Berapakah guli yang Ady tambah ? A 2 B 8 C 262 D 352

31. Diagram 9 is a bar chart which shows the number of fruits sold by Muthu in a

day. Rajah 9 ialah sebuah carta palang yang menunjukkan jualan buah oleh Muthu dalam suatu hari tertentu.

Diagram 9 Rajah 9

67 92 123 70

0

40

80

120

200

Num

ber o

f fru

its

Bila

ngan

bua

h

Fruit Buah

Durains

Mangoes

Apples

and oranges

160

Mathematics Module


The number of apples sold is 15 of the total number of durians and

mangoes. Calculate the number of oranges sold that day.

Bilangan epal yang dijual adalah 15 daripada jumlah bilangan durian dan

mangga. Kirakan bilangan oren yang dijual pada hari itu . A 60 B 70 C 80 D 140

32. Diagram 10 is a pictograph that shows the number of exercise books marked

by Cik Soleha in three days Piktograf dalam Rajah 10 menunjukkan bilangan buku latihan yang ditanda oleh Cik Soleha dalam masa tiga hari.

Monday Tuesday Wednesday Thursday represent 15 books. Mewakili 15 buku

Diagram 10 Rajah 10

The number of books marked on Thursday is 12 of the average of books

marked during the first three days. Find the number of books marked on Thursday.

Bilangan buku yang ditanda pada hari Khamis adalah 12 daripada purata

buku yang ditanda tiga hari sebelumnya. Carikan bilangan buku yang ditanda pada hari Khamis.

A 14 B 30 C 60 D 210

Mathematics Module


33 Diagram 11 shows a combination of four equilateral triangles of equal size. Rajah 11 menunjukkan gabungan empat segitiga sama sisi yang sama besar. Diagram 11 Rajah 11 Perimeter of one equilateral triangle is 18 cm. Calculate the perimeter, in cm,

of the whole diagram. Perimeter sebuah segitiga sama sisi ialah 18 cm. Hitung perimeter, dalam

cm, seluruh rajah . A 36 B 42 C 48 D 54 34. Diagram 12 consists of squares of equal size. Rajah 12 mengandungi beberapa segiempat sama yang sama besar. Diagram 12 Rajah 12 Calculate the area, in cm² , of the shaded region. Hitung luas, dalam cm² , kawasan berlorek. A 18 B 36 C 72 D 144

2 cm

Mathematics Module


35. Table 3 shows the number of beads in a box. Jadual 3 menunjukkan bilangan manik dalam sebuah kotak.

Bead Number Red 10 Blue 12

Green 14 Yellow 4

Table 3 Jadual 3 Which of the following pie charts represents the data in Table 3? Antara berikut yang manakah mewakili data pada Jadual 3? A

B

C

D

20%

15%

35%

30%

Blue 35%

Red 20%

Green 35%

Yellow 10%

Blue 30%

Red 25%

Green 30%

Yellow 15%

Blue 30%

Red 25%

Green 35%

Yellow 10%

Mathematics Module


36 Diagram 13 shows a combination of two cuboids. Rajah 13 menunjukkan gabungan dua buah kuboid. Diagram 13 Rajah 13 The shaded area of region P is 8 cm². The shaded area Q is 2 times the

shaded area P. Calculate the total volume, in cm³ , of the two cuboids . Luas kawasan berlorek P ialah 8 cm². Luas kawasan berlorek Q adalah 2 kali

luas kawasan berlorek P. Hitung jumlah isipadu , dalam cm³ , kedua-dua kuboid itu.

A 80 B 176 C 192 D 272 37. Jenny bought 6 kg of flour. She used the flour to bake 6 cakes. For each cake

she used between 850g and 900 g of flour. Estimate the mass, in g, of the remaining flour.

Jenny membeli 6 kg tepung. Dia menggunakan tepung itu untuk membuat 6

biji kek. Setiap kek memerlukan antara 850 g hingga 900 g tepung. Anggarkan berat, dalam g, baki tepung yang tinggal .

A 400 B 500 C 700 D 1 200

P

Q

12 cm

10 cm

Mathematics Module


38. Diagram 14 consists of squares of equal size. Rajah 14 mengandungi beberapa segiempat sama yang sama besar. Diagram 14 Rajah 14 Aqilah wants to shade 40% of the diagram green, 15% red, 35% blue and the

rest is yellow. Which of the following statements is not true? Aqilah mahu melorekkan 40% daripada rajah itu dengan hijau, 15% merah,

35% biru dan bakinya dilorek kuning. Antara pernyataan berikut yang manakah tidak benar ?

A There are 4 yellow squares B There are 6 red squares C There are 14 blue squares D There are 18 green squares. 39. Table 4 shows the time taken by four pupils to finish their drawings Jadual 4 menunjukkan masa yang diambil oleh empat orang murid untuk

menghabiskan lukisan masing-masing.

Pupils Time Yong 1 hour 55 minutes Rafi

1 23 hours

Haziq 15 minutes more than Yong’s time

Raju 10 minutes less than Rafi’s time Table 4 Jadual 4 All of them started their drawing at 10.15 a.m. Who managed to finish their

drawing after 12.00 p.m? Mereka memulakan melukis pada pukul 10.15 a.m. Siapakah yang

menyiapkan luksian selepas pukul 12.00 p.m. A Yong only B Haziq only C Rafi and Raju only D Yong and Haziq only

Mathematics Module


40. The incomplete bill in Diagram 15 shows the items bought by Hisham.

Bil yang tidak lengkap pada Rajah 15 menunjukkan barang yang dibeli oleh Hisham.

Quantity Kuantiti

Item Barang

Price per Unit Harga seunit

Price Harga

2 bottles Juice P RM3.90 3 boxes Juice

Q RM7.90 RM23.70

4 bottles Juice R RM12.50 Total

Diagram 15 Rajah 15

Hisham paid the bill with 2 pieces of RM50 note. How much is the balance ? Hisham membayar dengan 2 keping duit RM50. Berapakah baki wangnya ? A RM18.50 B RM19.50

C RM80.50 D RM81

KERTAS UJIAN TAMAT

Mathematics Module


ANSWER KEYS PAPER 1

SET 3

BIL SET3 1 C 2 D 3 C 4 D 5 C 6 A 7 B 8 A 9 A

10 A 11 B 12 B 13 D 14 B 15 D 16 C 17 A 18 C 19 B 20 B 21 B 22 D 23 B 24 A 25 B 26 D 27 B 28 D 29 A 30 B 31 C 32 B 33 A 34 C 35 D 36 D 37 C

Mathematics Module


38 D 39 D 40 A





SET 3

MATHEMATICS

PAPER 2 40 MINUTES

Mathematics Module


1 1M

Diagram 1 shows several number cards. Rajah 1 menunjukkan beberapa kad nombor. Construct any four digit numbers with 8 representing the value of hundred. Binakan sebarang nombor 4 digit dengan 8 mewakili nilai ratus.

2 1M

Convert 59% to a decimal. Tukarkan 59% kepada perpuluhan.

3 1M

Write in numerals. Tuliskan dalam angka.

4 1M

Diagram 2 consists of several squares of equal size. Rajah 2 mengandungi beberapa segiempat sama yang sama besar.

What fraction of the whole diagram is shaded. Berapakah pecahan kawasan berlorek daripada seluruh rajah.

5.

Diagram 3 shows the volume of water in a container. Rajah 3 menunjukkan isipadu air dalam sebuah bekas. State the volume , in ml , of the water in the container Nyatakan isipadu, dalam ml, air dalam bekas itu.

9 5 0 8

Diagram 1 Rajah 1

Four point zero two five Empat perpuluhan kosong dua lima

500 ml

1000 ml

Diagram 3 / Rajah 3

Diagram 2 Rajah 2

Mathematics Module


1M

6. 2M

763 + 2 876 ― 997 =

7. 2M

RM55 ― RM13.75 + 80 sen =

8. 2M

256 ÷ 8 × 21 =

9.

12 + 58 =

State the answer in mixed numbers. Nyatakan jawapan dalam nombor bercampur.

Mathematics Module


2M

10. 2M

( 130 ― 97 ) × 8 =

11. 2M

25 minutes + 38 minutes = State the answer in hours and minutes. 25 minit + 38 minit = Nyatakan jawapan dalam jam dan minit.

12. 2M

3600 g ÷ 4 = State the answer in kg . Nyatakan jawapan dalam kg.

13.

45 + 11.2 + 7.65 =

Mathematics Module


2M 14. 2M

Diagram 4 shows a solid. Rajah 4 menunjukkan sebuah pepejal. a) State the name of the solid. Nyatakan nama pepejal itu. b) Find the number of flat surfaces the solid has. Carikan bilangan permukaan rata pepejal itu.

15. 2M

Diagram 5 shows a cuboid. Rajah 5 menunjukkan sebuah kuboid. Calculate the volume, in cm³ , of the cuboid. Hitung isipadu, dalam cm³ , kuboid itu.

16. 3M

Diagram 6 shows 3 number cards. Rajah 6 menunjukkan 3 kad nombor. Calculate the average of the number cards. Hitung purata bagi kad-kad tersebut.

17. 3M

Diagram 7 consists of several pictures. Rajah 7 mengandungi beberapa gambar. What is the percentage of picture from the whole diagram ? Berapakah peratus gambar ‘ ‘ daripada semua gambar ?

10 0.7 8.23

0.5 cm

12 cm

8 cm

Diagram 7 Rajah 7

Diagram 6 Rajah 6

Diagram 5 Rajah 5

Diagram 4 Rajah 4

Mathematics Module


18. 3M

Table 1 shows the number of pupils in three classes. Jadual 1 menunjukkan bilangan murid dalam tiga buah kelas.

Class Kelas

The number of pupils Bilangan murid

Pintar 39 Bestari 26 Cerdik 25

52

of the total pupils come from village X and the rest come from village Y.

How many pupils come from village Y? 25 daripada semua murid itu datang dari Kampung X dan bakinya datang dari

Kampung Y. Berapakah bilangan murid yang datang dari kampong Y?

19. 3M

Diagram 8 shows the price of a book and a pen. Rajah 8 menunjukkan harga sebuah buku dan sebatang pen. Lina has RM20 . She buys 4 books and 3 pens. How much is her balance? Lina ada RM20. Dia membeli 4 buah buku dan 3 batang pen. Berapakah baki wangnya ?

20. 3M

Ani prepares 4.2 l of syrup. She pours the syrup into three jugs . The first jug contains 1.6 l of syrup. The second and third jug have the same volume of syrup. How much is the volume of syrup , in ml, in the third jug ? Ani membuat 4.2 l air sirap. Dia menuang ke dalam tiga buah jug. Jug pertama berisi 1.6 l air sirap. Jug kedua dan ketiga mempunyai isipadu yang sama.. Berapakah isipadu air sirap, dalam ml, bekas ketiga?

RM4.20 60 sen

Table 1 Jadual 1

Diagram 8 Rajah 8

Mathematics Module


ANSWER KEY

PAPER 2 SET 3

Q SET 3 1 9850 2 0.59 3 4.025 4 3

8

5 200 ml 6 2642 7 RM 42.05 8 672 9

118

10 264 11 1 hour 3 minutes 12 0.9 kg 13 63.85 14 a. prism

b. 5 15 48 cm3 16 6.31 17 35% 18 54 19 80 sen 20 1300 ml

KERTAS UJIAN TAMAT

Mathematics Module


Individual Score Marks

Set 1 Set 2 Set 3 No Name P1 P2 T P1 P2 T P1 P2 T Remark

Teacher remark : ……………………………………………………………………………………… ……………………………………………………………………………………… …………………………….

Modul Selia Bantu 2008 ( Bpg )

Documents

Transcript of Modul Selia Bantu 2008 ( Bpg )