PT3 Trial Mathematics

7/27/2019 PT3 Trial Mathematics

http://slidepdf.com/reader/full/pt3-trial-mathematics 1/21

ARAHAN:

UJIAN BERTULIS OKTOBER 2 Jam

1. Buka kertas soalan ini apabila diberitahu.

2. Tulis nama dan angka giliran anda pada ruang yang disediakan.

3. Jawapan anda hendaklah ditulis pada ruang jawapan yang

disediakan dalam kertas soalan ini.

4. Kertas soalan ini hendaklah diserahkan kepada pengawas

peperiksaan pada akhir peperiksaan.

Untuk Kegunaan Pemeriksa

Nama Pemeriksa:

SoalanMarkah

Penuh

Markah

Diperoleh

1 10

2 10

3 10

4 10

5 10

6 10

7 10

8 10

9 10

10 10

Jumlah 100

NAMA : ………………………..………………………………………………………...……….

ANGKA GILIRAN

SM SRI KDU®



2

MATHEMATICAL FORMULAE

The following formulae may be helpful in answering the questions. The symbols given are commonly

used.

RELATIONS

1

am × an = am + n

2 am a

n = a

m – n

3 (am)

n = a

mn

4 Distance = 212

2

12 y y x x

5 Midpoint

2,

2, 2121 y y x x y x

6

takentime

travelleddistancespeedAverage

7

dataof numberdataof sumMean

8 Pythagoras Theorem

c2 = a2 + b2

SHAPES AND SPACE

1 Area of rectangle = length × width

2 Area of triangle =2

1 × base × height

3 Area of parallelogram = base × height

4 Area of trapezium =2

1 × sum of parallel sides × height



3

5 Circumference of circle = πd = 2πr

6 Area of circle = πr 2

7 Curved surface area of cylinder = 2πrh

8 Surface area of sphere = 4πr 2

9 Volume of right prism = cross sectional area × length

10 Volume of cuboid = length × width × height

11

Volume of cylinder = πr 2h

12 Volume of cone =3

1πr

2h

13 Volume of sphere =3

4πr

3

14 Volume of right pyramid =3

1 × base area × height

15 Sum of interior angles of a polygon = (n – 2) × 180

16

360

centreatsubtendedangle

circleof ncecircumfere

lengtharc

17

360

centreatsubtendedangle

circleof area

sector of area

18 Scale factor, k = PA

PA'

19 Area of image = k 2 × area of object



4

Answer all questions.

QUESTION 1

1 (a) Write the place value and digit value for the following underlined numbers.

Answer :

( 3 marks )

(b)(i) Calculate the value of 26 6( 16 4 9)

Answer :

(ii) Calculate the value of3 1

1 0.564 2

Answer:

( 4 marks )

Number Place value Digit value

(i) 6220

(ii) 98990

(iii) 732455



5

(c) In a stall, the amount of durians and manggosteens sold, in kg, were in the ratio of

13 : 7. At the same time, the ratio of the mass of rambutans sold to the mangosteens

was 3 : 2. Find the ratio of the mass of durians sold to the rambutans sold.

Answer:

( 3 marks )

2 (a) List three prime numbers from 50 – 60

Answer:

( 3 marks )

(b)(i) Find the value of :

3 64

Answer:

(ii) Calculate the value of :

( 12 − 81 )3

Answer:

( 4 marks )



6

(c) The mass of an empty box is 2 kg. However, when the box is filled up with several

cans of sardines of the same size, the mass becomes 6 kg 550 g. The mass of a can of

sardine is 650 g. How many cans of sardines are there in the box ?

Answer:

( 3 marks)

3(a) Diagram below shows an equilateral triangle, JKL. JLQ and NLM are straight lines.

Find the value of y.

Answer:

( 3 marks )

K

J

L

M

Q

N

P130

o

y o



7

(b) Diagram below shows a quadrilateral PQRS

(i) Using only a ruler and a pair of compasses, construct quadrilateral PQRS as shown in

Diagram 17 using the straight lines PS and SR provided in the answer space.

(ii) Based on the diagram constructed in (a), construct QT , angle bisector of the PQR such that

point T lies on the line PS .

(iii) Measure the length QT .

Answer : (i), (ii)

(iii)_______________ cm

(4 marks )

P

R

Q

S

60

RS

P



8

(c) Table below shows the scores of school S, T, U in a Mathematics quiz. All schools

must answer 20 questions. Each correct answer will be given 3 marks whereas for

incorrect answer will be given ( –2) marks.

Find the difference in scores of schools S and school U.

Answer :

( 3 marks )

School S T U

Correct

Answer 65% 90% 75%



9

4(a) In Diagram below, PQRS is a rectangle and STUV is a square. Given that PQ = PT .

Express in terms of x , the area of the shaded region, in cm2

Answer :

( 3 marks )

(b) Simplify the following

(i) 524 q

(ii) )4)(4()(4 2 q pq pq p

( 4 marks )



10

(c) Factorise the following.

Answer:

(i) k jk 515

(ii) 21248 m

( 3 marks )

5(a) Convert the following to the given units

Answer:

(i) 0.088 km = _____________________ m

(ii) 533mm = _____________________ cm

(iii) 77 cm = _____________________ m

( 3 marks )

(b) Kim uses 2.75 kg, 1500 g and 14

1kg of flour to bake cakes, biscuits and bread

respectively in a day. She buys the flour in packets of 5 kg each. Find the number of

packets of flour she uses for 10 days

( 3 marks )



11

(c) Diagram in the answer space shows a square ABCD. X and Y are two moving points

in the diagram

I) In diagram, construct

i) the locus of Y such that XA = XB

ii) the locus of Z such that YA = DA.

(II) Hence, mark with the symbol the intersection of the locus X and Y.

Answer:

( 4 marks )

A B

C D



12

6(a) In diagram below, UOT is the diameter of the circle with centre O. Given that the

radius of the circle is 5 cm.

Find the length, in cm, of ST. Leave your answer in 2 d.p.

Answer:

( 3 marks )

6(b)(i) In diagram below, O is the centre of the circle and PQR is a straight line.

Find the value of x .

Answer :

T

O

R S

U

1 cm



13

(b)(ii) Diagram below shows a semicircle EFGH with centre O. Given that FG = GH

Find the value of y.

Answer :

( 4 marks )

(c) Table below shows two numbers with their prime factors.

Number Prime factors

63 3, p

90 q, 3, 5

Find the product of p and q.

Answer:

( 3 marks )

OE

G

F

H

y°

20°●



14

7(a) State the number of line(s) of symmetry for the following shapes.

Answer:

( 3 marks )



15

(b)(i) Diagram in the answer space shows a Cartesian plan. Triangle ABC is rotated 90°

anti- clockwise about the origin. Draw its image

(ii) If )6,2( P is rotated under the same rotation. Find its image and mark P’ .

Answer:

( 4 marks )

(c) Diagram in the answer space shows an object P and a straight line AB drawn on

square grids.

Draw the image of the object P under a reflection along the line AB.

( 3 marks )



16

8(a) Diagram in the answer space shows polygon ABCDEFG and straight line PQ drawn

on a grid of equal squares.Starting from the line PQ, draw polygon PQRSTUV which is congruent to polygon

ABCDEFG.

Answer:

( 2 marks )

(b)(i) Simplify (p2)4

Answer:

(ii) Given that 1432 777 x x , calculate the value of x .

Answer:

( 4 marks )

B A

C

D

E

F

G

P

Q



17

(c)(i) List all integers of y, given -1 ≥ y > 3

(ii) Draw a number line to represent all the integer values of y that satisfy 13425 y

.

( 4 marks )

9(a) Table below shows the scores of a group of students in a quiz.

Score 2 4 6 8 10

Frequency 4 6 8 10 2

Based on the frequency table above, calculate the

(i) mode data

(ii) median data

Answer:



18

( 3 marks )

(b) Table below shows the average temperature of town K from February 1st

to 7th

.

Date Temperature

1 10

2 25

3 30

4 45

5 25

6 25

7 40

On the square grid provided in the answer space, draw a line graph to

represent the information given in the table.

Answer :

[4 marks]



19

(c) Express 3

325

x x

x

x as a single fraction in its simplest form.

Answer :

( 3 marks )

10(a) Diagram below shows two right –angled triangles PQT and QRS.

Given that sin x =5

4 and tan y =

5

12.

i) Calculate the value of cos y .

ii) Calculate the length, in cm, of TS.

Answer:

( 3 marks )



20

(b) Table below shows the values of the variables, x and y , of a function.

x -3 -2 -1 0 1 2 3

y -32 -13 -6 -5 -4 3 22

By using a scale of 2 cm to 1 unit on the x -axis and 2 cm to 10 units on the

y -axis, draw the graph of the function on the graph paper provided in

the answer space.

( 4 marks )

Answer:

(Refer to graph on next page)

(c) Given that 34

k

v, express v in terms of k .

Answer:

( 3 marks )



21

END OF QUESTION PAPER

Prepared by : Mr Prakash

Verified by : Mr Kaneson

A roved b : The Princi al

PT3 Trial Mathematics

Documents

Transcript of PT3 Trial Mathematics