# soalan ramalan peperiksaan

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SULIT 4

Answer all questions

1 Round off 238 567 to the nearest thousands.

A 238 500

B 238 600

C 239 000

D 240 000

2 Table 1 shows the list of items bought by Ahmad from a sundry shop.

Table 1

If he pays the shopkeeper with a fifty ringgit note, what is the change he should receive?

A RM35

B RM31

C RM19

D RM15

3 In a Mathematics test, Yusdi scored 80 marks whereas Azlan’s score was

of Yusdi’s score. The ratio of Yusdi’s score to Azlan’s score is

A 3 : 5

B 5 : 8

C 5 : 2

D 5 : 3

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Item Quantity Price per unit

Cooking oil 1 bottle RM13

Curry powder 4 packets RM4

Potato 3 kg RM2

SULIT 5

4 Diagram 1 shows all the factors of 42.

Diagram 1

Which of the factors are prime factors?

A 1, 2, 3, 7

B 2, 3, 7

C 1, 3, 7

D 1, 2, 3, 7, 21

5

Based on the above number sequence, the value of p is

A 16

B 17

C 18

D 19

6 Given that . The value of f is

A 5

B 25

C 50

D 250

7 Diagram 2 shows a number line.

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7

1

221

36

14

42

– 3 – 2 – 1 0 1

A B C D

1, 3, 6, 11, p, 29, …

SULIT 6

Diagram 2

In which of the regions labelled A, B, C or D, is situated?

8 In an express bus of 40 passengers, are female. of the female and of the

male are children. How many children are there in the bus?

A 10

B 12

C 14

D 24

9 Tajudin painted two identical rooms and took hours to paint each room. If he

started painting the first room at 9.30 a.m and took 45 minutes break in between, at what time did he complete painting the second room?

A 1430

B 1545

C 1515

D 1555

10 A string of length 2.90 m is used to tie 6 parcels. The string used for each parcel is equal in length.

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SULIT 7

If 38 cm of the string is left after all the parcels have been tied, calculate, in cm, the length needed for each parcel.

A 40

B 41

C 42

D 45

11 In a cross country race, 20% of participants were disqualified. If 64 participants are allowed to complete the run, how many participants took part in the race?

A 80

B 86

C 90

D 94

12 Pak Din was paid RM 222.00 for 12 working days. How much will he receive for 20 working days?

A RM111.00

B RM133.20

C RM270.00

D RM370.00

13 In Diagram 3, KLM and PLN are straight lines.

[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT

N70o

30o

yo

xoxo

K

L

M

P

Q

SULIT 8

Diagram 3

Find the value of y.

A 40

B 100

C 110

D 140

14 Diagram 4 shows a cube. Given that the area of the surface JKLM is 16 cm2.

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K L

M

SULIT 9

Diagram 4

Hence, calculate the volume, in cm3, of the cube.

A 48

B 64

C 96

D 128

15 Izam has 5 sacks of sugar, each with a mass of r kg. All the sugar is then packed in a number of smaller packets of the same size. The mass of each packet is 3 kg. What is the total number of the packets?

A

B 15r

C

D 30r

16 In Diagram 5, the area of the square RSTU is 64 cm2 and QR = RS.

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P

Q R

S

T

U15 cm

J

0

SULIT 10

Diagram 5

Find the length, in cm, of PU.

A 8

B 9

C 12

D 17

17 Table 2 shows the scores for a group of students in a game.

Table 2

Determine the number of students who obtained scores less than the median score.

A 2

B 3

C 4

D 5

18 In Diagram 6, PRSV is a parallelogram and STUV is a rectangle.

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Point 1 2 3 4 5 6

Number of Students 2 1 1 1 3 2

P QR

S

TU

V

8 cm

3 cm

SULIT 11

Diagram 6

Given that PQ = PV = UV . QST is a straight line.

Calculate the area, in cm2, of the whole diagram.

A 72

B 52

C 40

D 32

19 In Diagram 7, TRP is a straight line. Given that, the ratio of SRT to RST to RTS is 2 : 3 : 4.

Diagram 7

Find the value of m.

A 100

B 120

C 140

D 180

20 In Diagram 8, X and Y are the centres of two semicircles.

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S

TR

P

mo

X

YR S

B

A

C D

12 cmQ P

8 cm

SULIT 12

Diagram 8

Based on the diagram, which of the points, A, B, C or D is 4 cm from the straight line PQ and 6 cm from point Y.

21 Diagram 9 shows a right-angled triangle EFG.

Diagram 9

Given that EF = FG and M is the midpoint of EG. Find the coordinates of M.

A ( 3, 3 )

B ( 5, 6 )

C ( 4, 5 )

D ( 6, 5 )

22 In Diagram 10, point P and point R are marked on the Cartesian plane.

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E(2, 9)

F(2, 3) G

M

y

2

P

R

SULIT 13

Diagram 10

Given PQRS is a trapezium. If the coordinates of point Q( 3, 2 ), the possible coordinates of point S is

A ( 1, – 1 )

B ( 2, – 2 )

C ( 0, – 2 )

D ( 0, 2 )

23 Diagram 11 shows a Cartesian plane.

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xO

– 2

2

y

xO x

L

K (– 12, 0)

T

SULIT 14

Diagram 11

Given that KL = 13 units and LM is parallel to x-axis. The coordinates of T is

A ( 13, 5 )

B ( 5, 12 )

C ( 12, 5 )

D ( 12, 13 )

24 Diagram 12 shows the net of a solid.

Diagram 12

The solid is

A a cylinder with the radius 15 cm.

B a cone with the radius 15 cm.

C a cylinder with the radius 7.5 cm.

D a cone with the radius 7.5 cm.

25 Diagram 13 shows, a right pyramid with square base JKLM. The height of vertex V from the base JKLM is 12 cm.

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25 cm

15 cm

V

J

K L

M10 cm

O

SULIT 15

Diagram 13

Calculate the total surface area, in cm2, of the pyramid.

A 165

B 260

C 280

D 360

26 In Diagram 14, E, F, G, H and J are vertices of a regular polygon.

Diagram 14

Find the number of sides of the polygon.

A 9

B 10

C 12

D 15

27 The bar chart in Diagram 15 shows the sales of cars in a car sales centre for the first five months.

[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT

18o

E

F G

H

I

O

2

4

6

8

Sal

es o

f ca

rs(i

n 10

0 un

its)

Month

Jan Feb Mar April May

SULIT 16

Diagram 15

Calculate the mean of the sales per month for the period shown in the chart.

A 600

B 480

C 400

D 380

28 The pictograph in Diagram 16 shows the number of mobile phone sold in the first three months of 2008.

Diagram 16

Which of the following statements is true?

A The sales in March was 45 units.

B The lowest monthly sales was 3 units.

C The sales in February exceeded the sales in January by 45 units.

D The total sales for the first three months are 13 units.

29 Diagram 17 is drawn on the square grids.

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Represents 15 units

JanuaryFebruaryMarch

I II III

V

IV

SULIT 17

Diagram 17

Which of the points are situated on the axes of symmetry of the diagram?

A I and III

B II and IV

C I, II and V

D II, IV and V

30 In Diagram 18, JKLMN is a semicircle with centre O.

(use )

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J

K

L

M

NO

40o20o

14 cm

SULIT 18

Diagram 18

Calculate the area, in cm2, of the shaded region.

A

B

C

D

31 Diagram 19 shows a sector of a circle with centre O.

(use )

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20o

O

G

E

9 cm

SULIT 19

Diagram 19

Calculate the perimeter, in cm, of the whole diagram.

A 22

B 31

C 40

D 44

32 In Diagram 20, PQR is a right-angled triangle.

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P

Q

R

(x – y) cm 8 cm

2x cm

SULIT 20

Diagram 20

The area, in cm2, of the triangle is

A 4x – 4y

B 2x2 + xy

C 8x – 8y

D 8x

33 Diagram 21 shows three pairs of parallel lines.

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xo

zo

yo

vo

wo

SULIT 21

Diagram 21

Which of the following statements are true?

I v + w + y = 180

II y = v + w

III w + x = 180

A I, II only

B I, III only

C II, III only

D I, II, III only

34 Diagram 22 shows a regular hexagon KLMNPQ and irregular polygon MRSTV.

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K L

M

S

R

T

V

P N

Q

130o

100o

xo

SULIT 22

Diagram 22

Given that PMR is a straight line. The value of x is

A 85

B 80

C 75

D 70

35 Diagram 23 shows a semicircle with centre O.

Diagram 23

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R

S

T

UO

70o

xo

SULIT 23

The value of x is

A 50

B 60

C 70

D 80

36 In Diagram 24, KPM and JOPL are straight lines and O is the centre of the circle.

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25o

ho

140o

O

N

M

P

L

K

J

SULIT 24

Diagram 24

Find the value of h.

A 115

B 110

C 105

D 100

37 In Diagram 25, EFGH is a rectangle and EFP is a circle with centre O.

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FME

O

H N G

10 cm

P

SULIT 25

Diagram 25

Given that, the area of the rectangle EFGH is 80 cm2 and the radius of the circle is 5 cm.

The length, in cm, of MP is

A 5

B 6

C 8

D 10

38 3( x – 2)2 =

A 3x2 – 12

B 9x2 – 36

C 3x2 – 6x + 12

D 3x2 – 12x + 12

39 The pie chart in Diagram 26 shows the result of a survey on a group of people and their favourite local fruits.

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Banana

Mangosteen

Durian

Papaya

4xo

2xo

xo

150o

SULIT 26

Diagram 26

If the number of people who love mangosteens is 15, calculate the total number of people in survey is

A 30

B 60

C 90

D 120

40 ( 2x – 1 )3 = .

A 6x – 3

B

C

D

END OF QUESTION PAPER

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SULIT 27

Answer all questions

1 Calculate the value of (– 3) + 8 ( – 5 )

[2 marks]

Answer:

2 Calculate the value of and express the answer as a fraction in its lowest

term.

[2 marks]

Answer:

3 Calculate the value of and express the answer as a decimal.

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1

2

For Examiner’s

Use

2

2

SULIT 28

[2 marks]

Answer:

4 (a) Find the value of

(b) Calculate the value of .

[3 marks]

Answer:

(a)

(b)

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3

2

For Examiner’s

Use

4

3

For Examiner’s

Use

SULIT 29

5 Solve each of the following equation:

(a) – 3s = – 4

(b)

[3 marks]

Answer:

(a)

(b)

6 In Diagram 1, triangle P is drawn on square grids. On the grids, draw the image of triangle P under a reflection in the line .

Answer: [2 marks]

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5

3

P

For Examiner’s

Use

SULIT 30

7 Given that . Find the value of .[2 marks]

Answer:

8 In Diagram 2, point A’ is the image of point A under a 90° clockwise.(a) Mark C as the centre of rotation. (b) Complete the image of object S under the same rotation.

[3 marks]

Answer

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6

2

7

2

SA

Diagram 1

For Examiner’s

Use

SULIT 31

Diagram 2

9 Factorize completely(a) 2p – 4p²

(b) y³ – 9y

[3 marks]

Answer:

(a) (b)

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8

3

9

3

A

For Examiner’s

Use

SULIT 32

10 Expand 2(2p – 3q)² – p(2p – q)

[2 marks]

Answer:

11 Find the value of

[3 marks]

Answer:

12 Express as a single fraction in its simplest form.

[3 marks]

Answer:

[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT

10

2

11

3

For Examiner’s

Use

SULIT 33

13 Simplify

[3 marks]

Answer:

14 Table 1 shows the blood type of 37 pupils.

(a) State the mode.

(b) Hence, represent all the data by drawing a line graph in the answer space.

[4 marks]

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Blood type Number of pupils

AB 8

A 5

B 12

O 12

12

3

13

3

For Examiner’s

Use

SULIT 34

Answer:

(a)

(b)

15 Table 2 shows the number of

students in Form 3 Melur who scored grade A in three subjects.

Based on the bar chart in the answer space given

(a) find the value of x

(b) hence, represent all the data by drawing bar charts for Science and English.

[4 marks]

Answer: (a)

(b)

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14

4

B G

Mathematics 14 x

Science 20 12

English 10 22

.

B- Boy

G- Girl

AB A B O

14

12

10

8

6

4

2

0

Num

ber

of p

upil

s

Blood type

32

28

24

20

16

12

8

Mathematics Science English

Num

ber

of s

tude

nts

Subject

For Examiner’s

Use

SULIT 35

16 Diagram 3, shows a square base right pyramid.

Draw the net of the pyramid completely.

[3 marks]

Answer:

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V

6 units

5 units

15

4

Diagram 3

For Examiner’s

Use

SULIT 36

17 In Diagram 4 figure R is the image of figure S under a certain transformation M.

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16

3

For Examiner’s

Use

SULIT 37

Diagram 4

Describe in full the transformation M.

[2 marks]

Answer:

18 Diagram 5 in the answer space shows an isosceles triangle STU. M is the midpoint of straight line SU.

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17

2

S

60o

B

C

For Examiner’s

Use

A

D

SULIT 38

J, K and L are three moving points in the diagram.

(a) J moves such that it is equidistant from the point S and U. By using the letters in the diagram, state the locus of J.

(b) On the diagram, draw

(i) the locus of K such that KU = 6 cm,

(ii) the locus of L such that its distance from the straight line SU is always 4 cm.

(c) Hence, mark with the symbol the intersection of the locus of K and the locus of L.

[5 marks]

Answer:

(a), (b) and (c)

Diagram 5

19Diagram 6 shows a quadrilateral ABCD.

Diagram 6

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18

5

M

T

S U

For Examiner’s

Use

SULIT 39

(a) Using only a ruler and a pair of compasses, construct quadrilateral ABCD given. Begin from the diagram provided in the answer space.

(b) Based on the diagram constructed in 19(a),

(i) measure the length, in cm, of BD,

(ii) measure BAD, using a protractor.

[6 marks]

Answer:

(a)

A B

Diagram 6

(b) (i)

(ii)

20 Diagram 7 in the answer space shows octagon ABCDEFGH and two straight lines PQ and QR drawn on a square grid.

Starting from the straight lines PQ and QR, draw the octagon PQRSTUVW which is congruent to octagon ABCDEFGH.

[3 marks]

Answer:

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19

6

C

C

FD

E

G

HA

B

SULIT 40

Diagram 7

END OF QUESTION PAPER

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20

3

R Q

P