Modul K2 Bahagain 1

7/27/2019 Modul K2 Bahagain 1

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Kamu hanya perlu 20 markah untuk LULUS! (

).

PAPER 2

Section A (Answer all 6) Section B (Answer 4 out of 5) Section C (Answer 2out of 4)

1 Simultaneous Equations (3/5) 7 Hukum, Linear ( 6/10) 12 Motion In A Straight Line2 Trigonometric Function (3/6) 8 Vector /Geometric Coordinate (6/10) 13 Solution of Triangle ( 6/10)

3 Index And Logarithm (3/6) 9 Integration 14 Index (6/10)

4 Coordinate Geometry/Vector 10 Circular Measures 15 Linear Programming5 Statistics (4/7) 11 Probability Distribution

6 Progression

Marks 13 Marks 12 Marks 12

Jumlah markah dari P2 =37

Markah keseluruhan =(

)= (

) = 37%....Markah ini lebih dari cukup untuk lulus


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SIMULTANEOUS EQUATIONS (PERSAMAAN SERENTAK) SECTION A

1. Solve the simultaneous equations:Selesaikan persamaan serentak :

4x+ y= 8 , x2

+xy= 2.

[x = -2, y = 0 or x = - 3 , y = 4 ]

2. Solve the simultaneous equations:Selesaikan persamaan serentak

x+ 2y= 2 ,1 2

5x y

x= 1, 2/5 , y= 1/2, 4/5


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3.Solve the following simultaneous equations and give your answerscorrect to four decimal places.Selesaikan persamaan serentak dan beri jawapan anda kepada empattempat perpuluhan.

2x+ 3y+ 1 = 0x2 + 6xy+ 6 = 0 [5 m]

x=1.1196, 1.7863 , y= 1.0797, 0.8575

4.Solve the simultaneous equationspm = 2 and p2

+ 2m = 8.Give your answers correct to three decimal places.Selesaikan persamaan serentakpm = 2 and p

2+ 2m = 8.

Beri jawapan anda kepada empat tempat perpuluhan. [5 m]

[m = 0.606, p = 2.606 or m = -6.606, p = -4.606


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TRIGONOMETRIC FUNCTION (FUNGSI TRIGONOMETRY) SECTION A

1.(a) Sketch the graph of y= 3 cos x for 0 x 2. [4 marks] 2 (a) Sketch the graph of y= 2 sinx for 0 x 2 . [4m]

Lakarkan graf y= 2 sinx bagi 0 x 2

3.(a) Sketch the graph of y= xcos4 for 0 x 2. [4 marks] 4. Sketch the graph of y= - 2 sinx for 0 x 2 . [4 m]Lakarkan graf y= - 2 sinx bagi 0 x 2


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5.(a) Sketch the graph of y= 2 cos2 x for 0 x 2. [4 marks] 6. (a) Sketch the graph of y= 3 sin2x for 0 x 2 . [4 m]

Lakarkan graf y= 3 sin 2x bagi 0 x 2

7.a) Sketch the graph of xy2

3sin3 for .20 x [4m]

8. Sketch the graph of y= 3 sinx +1 for 0 x 2 . [4 m]

Lakarkan graf y= 3 sinx+ 1 bagi 0 x 2


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INDICES AND LOGARITHMS [Target 3 out of 6 marks] If this doesnt come out in P2, the knowledge can be use in P1

1. Solve

[x=-2]

2. Solve

[

3. Solve ()

[x= 3]

4.Solve 2 + ( )

[x=-4]

5. Solve ()

[x=1]

6. Solve ( )

[x=

]


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7. Solve

[x=8]

8. Solve

[x=9]

9.

[

10. Solve ()

11. Solve

[x= 0.3143]

12. Express y in terms of x

[y=3x2

]


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STATISTICS

1.A set of examination marks x1,x2,x3,x4,x5,x6 has a mean of 5 and

a standard deviation of 1.5.

(a) Find

(i) the sum of the marks, x ,

(ii) the sum of the squares of the marks, .2x [3 m ]

(b) Each mark is multiplied by 2 and then 3 is added to it.

Find, for the new set of marks, the mean, the variance. [4m]

[a) i) 30 ii) 163.5 b) i) 13 ii) 9]

2.(a) A set of data consists of 10 numbers. The sum of the numbers is 150 and

the sum of the squares of the numbers is 2472.

Find the mean and variance of the 10 numbers, [3 m]

(b) Another number is added to the set of data and the mean is

increased by 1. Find

(i) the value of this number,(ii) the standard deviation of the set of 11 numbers. [4 marks]

[a) mean = 15, variance = 22.2 b) i) k = 26 ii) 5.494]


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4. (a)Table below shows the frequency distribution of the scores of a group of

pupils in a game.

Score Number of pupils

10 19 1

20 29 2

30 39 8

40 49 12

50

59 k60 69 1

It is given that the median score of the distribution is 42.

Calculate the value of k. [3 m]

(b) Use the graph paper to answer this question.

Using a scale of 2 cm to 10 scores on the horizontal axis and 2 cm to 2 pupils

on the vertical axis, draw a histogram to represent the frequency distribution

of the scores, find the mode score. [4 m]

(c) What is the mode score if the score of each pupil is increased by 5. [1 m]

[ k = 4 b) Mode Score = 43 (From histogram ) c) 48]

5.Diagram below shows a histogram which represents the distribution of the

marks obtained by 40 pupils in a test.

Diagram 2

(a) Without using an ogive, calculate the median mark. [3 m]

(b) Calculate the standard deviation of the distribution. [4 m]

[a) 24.07 b) 11.74]

Number of pupils

12

8

10

14

20.5 30.5 40.5 50.5Marks

10.50.5

0

2

4

6


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5.Table 1 shows the cumulative frequency distribution for the scores of 32

students in a competition.

Table 1

(a) Based on Table 1, copy and complete Table 2.

Table 2 [1 m]

(b) Without drawing an ogive, find the interquartile range of the

distribution. [5 m]

[ a) No of students : 4,6,10,8,4 b) I. R =18.33]

Score < 10 < 20 < 30 < 40 < 50

Number of students 4 10 20 28 32

Score 0 - 9 10 - 19 20 - 29 30 - 39 40 - 49Number of students

6. Table 5 shows the marks obtained by 40 candidates in a test.

Marks Number of candidates

10- 19 4

2029 x

3039 y

4049 10

5059 8

Table 5

Given that the median mark is 35.5 , find the value of x and of y.

Hence, state the modal class. [6m]

[ x = 13 and y = 5, Modal Class 20-29]


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LINEAR LAW (HUKUM LINEAR) PAPER 2 SECTION B

8. Table 8 shows the values of two variables,xand y, obtained from anexperiment. Variablesxand yare related by the equation y= hk

2x

where h and kare constants.Jadual menunjukkan niali-nilai dua pembolehubah, x dan y, yangdidapati dari suatu ujikaji. Diketahui x dan y dihubungkan olehpersamaan, y= hk

2xdimanah, h and kadalah pemalar.

x 1.5 3.0 4.5 6.0 7.5 9.0

y 2.51 3.24 4.37 5.75 7.76 10.00Table 8/ jadual 8

a)Plot log 10yagainstx , using a scale of 2 cm to 1 unit on the x-axisand 2 cm to 0.1 unit on the log 10y-axis. Hence, draw the line of best fit.Plot log10y melawan xdengan menggunakan skala 2 cm kepada 1 unitpada paksi x dan 2cm kepada 0.1unit pada paksi log10y. Seterusnyalukis garis penyuaian terbaik. [5 m]b) Use your graph in 8(a) to find the value ofGuna graf dalam 8(a) untuk cari nilai bagi

(i) xwhen y = 4.8,(ii) h,(iii) k. [5 m]

[ i) log10y= 0.68 , x = 5 ii) h = 1.91 iii) k = 1.10 ]

7. Use graph paper to answer this question.Table 1 shows the values of two variables,xand y, obtained from anexperiment. Variablesx and yare related by the equation y=pk

x

where p and kare constant.Jadual menunjukkan niali-nilai dua pembolehubah, x dan y, yangdidapati dari suatu ujikaji. Diketahui x dan y dihubungkan oleh

persamaan, y=pkx dimanap and kadalah pemalar.

x 2 4 6 8 10 12

y 3.16 5.50 9.12 16.22 28.84 46.77

Table 7 / Jadual 7a)Plot log10yagainst x by using a scale of 2 cm to 2 units on the x-axisand 2 cm to 0.2 unit on the log10 y-axis. Hence, draw the line of bestfit. [4m]Plot log10y melawan xdengan menggunakan skala 2 cm kepada 2 unitpada paksi x dan 2cm kepada 0.2unit pada paksi log10y. Seterusnyalukis garis penyuaian terbaik.(a) Use your graph from (a) to find the value of

Guna graf dalam (a) untuk cari nilai bagi(i) p,

(ii) k. [6 marks]

[ i) p = 1.820 ii) k = 1.309]


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7.Table shows the values of two variables,xand y, obtained from an

experiment. Variablesx and yare related by the equation y=px+px

r,

wherep and rare constants.

Jadual menunjukkan niali-nilai dua pembolehubah, x dan y, yangdidapati dari suatu ujikaji. Diketahui x dan y dihubungkan oleh

persamaan, y=px+ px

r

dimana,p and radalah pemalar

X 1.0 2.0 3.0 4.0 5.0 5.5

y 5.5 4.7 5.0 6.5 7.7 8.4a) Plotxyagainstx2 by using a scale of 2 cm to 5 units on both axes.Hence, draw the line of best fit. [5 m]Plotxy melawan x2dengan menggunakan skala 2 cm kepada 5 unitpada kedua-dua paksi . Seterusnya lukis garis penyuaian terbaik. [5m](b) Use the graph from (a) to find the value of

Guna graf dari (a) cari nilai bagi(i) p,

(ii) r. [5m]

b) i) p = 1.375 ii) r = 5.5

7. Table shows the values of two variables,xand y, obtained from an

experiment. Variablesxand yare related by the equation y= 2kx2+

kx

p,

wherep and kare constants.


persamaan, y= 2kx2+kx

p, dimana,p and k adalah pemalar

x 2 3 4 5 6 7y 8 13.2 20 27.5 36.6 45.5

a)Plotx

yagainstx , using a scale of 2 cm to 1 units on both axes. Hence, draw

the line of best fit. [4 m]

Plotx

ymelawan xdengan menggunakan skala 2 cm kepada 1 unit pada

kedua-dua paksi . Seterusnya lukis garis penyuaian terbaik. [4m]

(c) Use your graph in (a) to find the value of

Guna graf dari (a) cari nilai bagi(i) p,

(ii) k. [6m]

(iii) ywhenx= 1.2 .

b) i) p = 0.075 ii) k = 0.25 iii) y = 4.32


13/26

8.Table shows the values of two variables,xand y, obtained from anexperiment. Variablesxand yare related by the equation y= hk

2x

where h and kare constants.Jadual menunjukkan niali-nilai dua pembolehubah, x dan y, yangdidapati dari suatu ujikaji. Diketahui x dan y dihubungkan olehpersamaan, y= hk

2xdimana, h and kadalah pemalar

x 1.5 3.0 4.5 6.0 7.5 9.0y 2.51 3.24 4.37 5.75 7.76 10.00

(a) Based on table , construct a table for the values of log 10y [1m]Berdasarka jadual, bina satu jadual bagi nilai-nilai log 10y [1m]

(b) Plot log 10yagainstx ,using a scale of 2 cm to 1 unit on the x-axisand 2 cm to 0.1 unit on the log 10y-axis.Hence, draw the line of best fit.Plot log 10ymelawan xdengan menggunakan skala 2 cm kepada 1

unit pada paksi-x dan 2cm kepada 0.1unit pada paksi log 10y.Seterusnya lukis garis penyuaian terbaik. [4m](c)Use your graph in 8(b) to find the value ofGuna graf dari8 (a) cari nilai bagi

(i) xwhen y = 4.8,(ii) h,(iii) k. [5m]

[ i) log10y= 0.68 based on the graph, x = 5 ii) h = 1.91 iii) k = 1.10]

8.Table shows the values of two variables, x and y, obtained from an

experiment. The variables x and y are related by the equationk

hy

x

where

h and k are constants.


persamaan, k

h

y

x

dimana, h and kadalah pemalar

x 3 4 5 6 7 8

y 2.57 3.31 4.07 4.90 6.31 7.94

(a) Plot y10log againstx ,using a scale of 2cm to 1unit on the x- axis

and 2 cm to 0.1unit on the y10log - axis. Hence, draw the line of best fit.

Plot log 10ymelawan xdengan menggunakan skala 2 cm kepada 1 unitpada paksi-x dan 2cm kepada 0.1unit pada paksi log 10y. Seterusnyalukis garis penyuaian terbaik. [4m](b) Use the graph in (a) to find the value of

Guna graf dari (a) cari nilai bagi(i) h(ii) k(iii) ywhen x= 2.7 [6m]

[ i) h = 1.253 ii) k = 0.7762 iii) y = 2.399]


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VECTOR (VEKTOR)

10. Diagram shows a parallelogram ABCD. Point P lies on the

straight line AB and point Q lies on the straight line DC. The straight

line AQ is extended to the point R such that AQ = 2QR.Rajah menunjukkan suatu segiempat selari ABCD. Titik P terletak

atas garis lurus AB dan titik Q terletak atas garis lurus DC. Garis

lurus AQ dipanjangkan ke titik R sedemikian hingga AQ = 2QR.

R

D Q C

\

A P B

It is given that AP : PB = 3 : 1, DQ : QC = 3: 1, uAP 6 and vAD

Diberi AP : PB = 3 : 1, DQ : QC = 3: 1, uAP 6 dan vAD

a) Express, in terms of u and v

Nyatakan, dalam sebutan u dan v

i) AQ ii) PC

Hence, show that the points P, C and R are collinear.Seterusnya, tunjukkan titik-titik P, C dan R adalah segaris. [6m]

b) It is given that iu 3 and jiv 52

Diberi bahawa iu 3 dan jiv 52

i) Express PC in terms of i and j

Nyata PC dalam sebutan i dan j

ii) Find the unit vector in the direction of PC

Cari unit vector dalam arah PC [4m]a) i) vu 6 ii) vu 2 ,

PRPC 3

2 b i) ji 58 ii)

89

58 ji

.

.


15/26

3.Diagram shows ABCD is a quadrilateral. AED and EFC are straight lines.Rajah menunjukkan ABCD ialah sebuah segiempat.AED dan EFC adalah garis

lurus

D

FE C

A BIt is given thatDiberi

AB 20x, AE 8y, DC= 25x

24y, AE = AD , EF = 5

3

EC.

(a)Express in terms of x and/or y:Nyatakan dalam sebutan x dan/ atau y:

(i) BD (ii) EC [3m]

(b)Show that the points B, F and D are collinear.Tunjukkan titik-tit ik B, F dan D adalah segaris [3m]

(c)If | x| = 2 and | y| = 3, find | BD |.

Jika | x| = 2 dan | y| = 3, cari | BD |. [2m]

a) i) yx 3220 ii) x25 b) collinear c) 104


16/26

10.Diagram below shows triangle OAB. The straight line AP intersects the

straight line OQ at R. It is given that OP=

OB, AQ = AB, xOP 6 an .2yOA

Rajah dibawah menunjukkan segitiga OAB. Garis lurus AP memintas garis lurus

OQ di R. Diberi OP=

OB, AQ = AB, xOP 6 an .2yOA

A

R

O P B

(a)Express in terms ofx and/or y:

Nyatakan dalam sebutan xdan/ atau y:

(i) AP (ii) OQ [4m]

(b) (i) Given that ,APhAR state AR in terms of h, x and y.

Diberi bahawa ,APhAR nyatakan AR dalam sebutan h, x and y. [2m]

(ii) Given that ,OQkRQ state RQ in terms of k, x and y. [2m]

Diberi bahawa ,OQkRQ nyatakan RQ dalam sebutan k, x and y. [2m]

(c) Using AR and RQ from (b), find the value of h and of k. [4m]

Guna AR and RQ from (b), cari nilai h dan k. [4m]

a) i) xy 62 ii) xy 29

23 b ) i) h ( xy 62 ) ii) k( xy 2

923 ) c) 2

1,31 hk

Q


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3. Diagram shows triangle ABC.The straight lineAQ intersects the straight line

BR at point P

Rajah menunjukkan segitiga ABC. Garis lurus AQ memintas garis lurus BR di titik P

C

R Q

P

A B

It is given that AR = 3 RC, BQ =3

2 BC, xAB 3 and yAC 4 .

Diberi AR = 3 RC, BQ =3

2 BC, xAB 3 and yAC 4 .

(a)Express in terms ofx and y

Nyatakan dalam sebutan x dan/ atau y:

(i) BC (ii) AQ [3m]

(b) It is given that AQhAP and ,RBkARAP where h and k are

constants. Find the value ofh and k. [5 m]

Diberi bahawa AQhAP dan ,RBkARAP di mana h dan k ialah pemalar.

Cari nialai h dan k.

i) yx 43 ii) yx38 b)

119,

113 hk


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SOLUTION OF TRIANGLE

12. Diagram shows a trapezium KLMN. KN is parallel to LM and LMN isobtuse.

Rajah menunjukkan Trapezium KMN. KN selari dengan LM dan LMNadalah sudut cakah.

N

12.5 cm

M

80 o

K 32o 5.6 cm

L

Find/ Cari

(a) the length, in cm, of MN

the length, in cm, of LN [3m]

(b) LMN [3m]

(c) The area, in cm2, of triangle LMN

Luas segitiga LMN dalam cm2, [2 m]

a) LN = 23.23 b) MN = 21.76 c) '1198oLMN d) 60.31


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15. Diagram shows quadrilateralABCD.

Rajah menunjukkan segiempat ABCD

(a) Calculate/ Kira

(i) the length, in cm, ofAC,

Panjang AC dalam cm(ii) ACB. [4m]

(b) PointA lies onAC such thatAB =AB.

Titik A terletak AC sedemikian hingga AB =AB(i) Sketch ABC.

LakarABC

(ii) Calculate the area, in cm2, of ABC.Kira luas , in cm2, ABC [6 marks]

[a) i) AC = 13.36 ii) '5323

ACB b) ii) Area 13.80 cm2

]

105o

50o

6 cm

5.6 cm

16 .4 cm

A

B

CD


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14. Diagram 14.1 shows PQR and TQR.

Diagram 14.1 menunjukkan PQR and TQR.Q

10 cm 7 cm

P T R

12 cm

It is given that PQR = 87.95o, PQ = 10 cm, PR =12 cm and TQ=QR=7cmDiberi PQR = 87.95o, PQ = 10 cm, PR =12 cm and TQ=QR=7cmFind / Cari

a) i) PRQii) the length, in cm. of TR

panjang TR , dalam cm

iii) the area, in cm2, of PQT.Luas , dalam cm2, PQT.

a) i) R = 56.39o, ii) TR = 7.7495 cm iii) 12.3888

b) In diagram 14.2, SQR is the image of TQR under the

reflection in the line QR.S

7 cm

Q

10 cm

P T R

12 cm

Find the length, in cm, of PS. [3m]

b) PS = 16.615 cm

87.95o

87.95o


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14. In Diagram 14, ABC is a triangle. ADFB,AEC and BGC are

straight lines. The straight line FG is perpendicular to BC.

Diagram 14It is given that BD = 19 cm, DA = 16 cm,AE = 14 cm, DAE = 80o and

FBG = 45o.

Diberi BD = 19 cm, DA = 16 cm,AE = 14 cm, DAE = 80o and FBG = 45o.

a) Calculate the length , in cm, of

Kira panjang ,dalam cm,(i) DE,

(ii) EC. [5m]

b) The area of triangle DAE is twice the area of triangle FBG.

Calculate the length , in cm, of BG. [4m]

c) Sketch triangleABC which has a different shape fromtriangleABC such that AB =AB, AC = AC and ABC =ABC. [1 marks]

[ i) DE = 19.34 ii) 16.21 b) x = 10.5 ]

A

G

80o

45o

B

D

F

E

C


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INDEX

13. Diagram 13 is a bar chart indicating the weekly cost of the items P,Q, R, S and Tfor the year 1990.Table1shows the prices and the priceindices for the items.Rajah 13 ialah carta palang yang menunjukkan perbelanjaan mingguanbagi item P,Q,R,S dan T bagi tahun 1990. Jadual menunjukkan hargadan indeks harga bagi item-item.

ItemsPrice in1900 Price in

1995

Price Index in1995 based on

1990

P x RM 0.70 175Q RM 2.00 RM 2.50 125R RM 4.00 RM 5.50 y

S RM 6.00 RM 9.00 150T RM 2.50 z 120

a) Find the value ofCari nilai bagi

(i) x (ii) y (iii)z [3m]b)Calculate the composite index for items in the year 1995 based on theyear 1990 . [2m]Kira index composlam bagi semua item dalam tahun 1995 berasaskantahun 1990.c)The total monthly cost of the items in the year 1990 is RM 456 .Calculate the corresponding total monthly cost for the year 1995 . [2m]Jumlah perbelanjaan bulanan bagi semua item dalam tahun 1990 ialahRM456.Kirakan jumlah perbelanjaan bulanan sepadan bagi tahun 1995.

d)The cost of the items increases by 20 % from the year 1995 to theyear 2000 . Find the composite index for the year 2000 based on theyear 1990. [3 marks]

[a) i) RM 0.40 ii) 137.5 iii) RM 3.00 b) 140.9 c) RM 642.50 d) I = 169.1]

P Q R S T Ite

1

1

2

3

3

Weekl cost

0

Diagram 13


23/26

12 Table 12 shows the price indices and percentage of usage of fouritems , P, Q , Rand S , which are the main ingredients in theproduction of a type of biscuit.Jadual 12 menunjukkan indeks harga dan peratus penggunaan 4 item,P, Q, R dan S, yang merupakan bahan utama dalam membuat sejenisbiskut.

ItemPrice index for theyear 1995 based on

the year 1993

Percentage ofusage

(%)P 135 40Q x 30R 105 10

S 130 20

(a)Calculate(i) the price ofS in the year 1993 if its price in the year 1995 is RM 37.70Harga bagi S bagi tahun1993 jika harga bagi tahun 1995 ialah RM37.70(ii)the price index ofPin the year 1995 based on the year 1991 if its

price Index in the year 1993 based on the year 1991 is 120.Harga indeks bagi P dalam tahun 1995 berasas tahun 1991 jikaharga indeks dalam tahun 1993 berasas pada tahun 1991 ialah 120(b)The composite index number of the cost of biscuit production for theyear 1995 based on the year 1993 is 128.Indeks composite bagi perbelanjaan pengeluaran biskut bagi tahun 1995berasaskan tahun 1993 ialah 128Calculate/ Hitungkani) the value ofx,

nilai xii) the price of a box of biscuit in the year 1993 if the corresponding pricein the year 1995 is RM 32 .harga sekotak biskut dalam tahun 1993 jika harga yang sepadan bagitahun1995 ialaj RM 32. [5m]

[ a ) i) RM 29 ii) 162 b) i) x= 125 ii) RM 25 ]

TABLE 12/JADUAL12


24/26

13.Table shows the prices and the price indices for the four ingredients , P , Q ,

R and S , used in making biscuits of a particular kind . Diagram 2 is a pie chart

which represents the relative amount of the ingredients P , Q , R and S , used

in making biscuits.

Jadual menunjukkan harga dan harga indeks bagi 4 bahan,P, Q, R dan S yang

digunakan dalam membuat sejenis biskut. Rajah 2 ialah carta pie

Yang menunjukkan hubungan banyaknya bahan-bahan P,Q,R dan S digunakan.

Ingredients Price per kg( RM ) Price index for

the year 2004

based on the

year 2001

Year

2001

Year

2004

P 0.80 1.00 x

Q 2.00 y 140

R 0.40 0.60 150

S z 0.40 80

Rajah

a). Find the value ofx, yand z . [3m]

Cari nilai x,y dan z.b) (i) Calculate the composite index for cost of making these

biscuits in the year 2004 based on the year 2001 . [2m]

Kira indeks composite bagi kos membuat biskut ini dalam tahin 2004

berasaskan tahun 2001.

(ii) Hence , calculate the corresponding cost of making these

biscuits in the year 2001 if the cost in the year 2004 was RM 2985 . [5m]

Maka, kira kos sepadan membuat biskut dalam tahun 2001 jika kos dalam

tahun 2004 ialah RM2985.

c)The cost of making these biscuits is expected to increase by 50% from the

year 2004 to the year 2007. Find the expected composite index for the year2007 based on the year 2001. [2 m]

Kos membuat biskut dijangka naik sebanyak 50% dari tahun 2004 ke tahun

2007. Cari jangkaan indeks komposit bagi tahun 2007 berasakan tahun 2001.

a)125 , 2.80 , RM 0.50 b) i)129.44 b) i)129.44 ii)RM 2306. 09c) 194.16

Table 13

Q

P

S

R

60o

100o

120o


25/26

13.Table shows the price indices and weightages for four types of stationery

P,Q, R and S.

Jadual menunjukkan indeks harga dan pemberat bagi 4 jenis alat tulis P,Q,R ,S.

Stationery

Alat Tulis

Price (RM) per unit

Harga(RM) per

unit

Price index for

the year 2008

based on the

year 2007

Harga ndeks

bagi tahun

2008berasaskan

tahun 2007

Weightage

Pemberat

Year

Tahun2007

Year

Tahun2008

P 2.80 2.10 x 4

Q 4.00 4.80 120 2

R 2.00 y 130 3

S z 5.80 116 m

a ) Find the value of / Cari nilai bagi (i) x (ii) y (iii) z [3m]

b ) The composite index for the price of the stationery in the year 2008 basedon the year 2007 is 108.4.Calculate the value of m. [3m]

Indeks composite bagi harga alat tulis bagi tahun 2008 berasaskan 2007 ialah

108.4. Kira nilai m.

c ) The total expenditure for the stationery in the year 2007 is RM525.

Calculate the corresponding total expenditure in the year 2008. [2m]

Jumlah perbelanjaan bagi alat tulis dalam tahun 2007 ialah RM525. Kira

jumlah perbelanjaan yang sepadan dalam tahun 2008.

d ) The price index for Q in the year 2009 based on the year 2007 is 132.

Calculate the price index for Q in the year 2009 based on the year 2008.[2m]

Indeks harga bagi Q dalam tahun 2009 berasaskan tahun 2007 ialah 132. Kira

indeks harga bagi Q dalam tahun 2009 berasaakan tahun 2008.

a) i) 75 ii) y = 2.60 iii) z = 5.00 b) m = 6 c) RM 569.10 d) 110


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Modul K2 Bahagain 1

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