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21 

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(1)

JABATAN PELAJARAN NEGERI PERAK

_______________________

PENILAIAN MENENGAH RENDAH 2006

LEARNING TO SCORE

MATHEMATICS

Paper 1

1 hour 15 minutes

DO NOT OPEN THIS QUESTION PAPER UNLESS YOU ARE TOLD TO DO SO

1. This question paper consists of 40 questions.

2. Answer

all

questions.

3. Answer each question by blackening the correct space on the answer sheet.

4. Blacken only one space for each question.

5. If you wish to change your answer, erase the blackened mark that you have

made. Then blacken the space for your new answer.

6. The diagrams in the questions provided are not drawn to scale unless stated.

7. You may use a

non-programmable

scientific calculator.

This question paper consists 20 printed pages.

Set

2

50/1

(2)

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

8. Pythagoras Theorem

2

2. Area of triangle = base height

2 1

 

3. Area of parallelogram = base

height

4. Area of trapezium = sumof parallelsides height

(3)

-9. Volume of right prism = cross sectional area

length

10. Volume of cuboid = length

width

height

14. Volume of right pyramid = basearea height

(4)

-- 4- Learning To Score 2006 : SET 2

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Lihat sebelah

50/1

Answer all questions.

1 Diagram 1 shows a sequence of numbers. The value of m is

DIAGRAM 1

A –15

B 14

C 12

D –11

2 Diagram 2 shows four number cards, R, S, T and U.

DIAGRAM 2

On which cards does the digit 5 have the same value?

A R and T

B S and T

C R and U

D S and U

3 Find the lowest common multiple ( LCM ) of 7 and 13.

A 26

B 49

C 79

D 91

4 Which of the following is the factor of 249?

A 3

B 7

C 9

D 12

2.513

3.145

4.051

4.405

R

T

U

35 ,

24 ,

17,

p

,

9, 8

(5)

-5 Diagram 3 shows a number line.

The value of qpis

7 Kamal has a rope measuring 2.94 m. She uses

3 1

of the rope to tie a parcel. Then she

cuts 8 pieces of rope, each of equal length, from the remaining rope to tie 8 boxes. After doing that, she still has 14 cm of rope left.

8 Amin loss 10 when he sold his car for RM48600. Calculate the initial price of the car.

(6)

-9 In Diagram 4, PQRSTU is a hexagon and TUV is a straight line.

(7)

-- 7- Learning To Score 2006 : SET 2

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50/1

11 In Diagram 6, QRST is a square and PQR is a right-angled triangle. Q is the midpoint of

PR and PR=10m.

DIAGRAM 6

Find the total perimeter of the diagram, in meter.

A 38

B 40

C 45

D 50

12 In Diagram 7, PQR is a straight line and RS = RT.

DIAGRAM 7 The value of x is

A 50

B 62

C 65

D 102

P

Q

T

U

13 m

R

S

T

R S

Q P

118˚ 78˚

(8)

-- 8- Learning To Score 2006 : SET 2

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50/1

13 Table 1 shows the time allocation for a game.

Game Time Allocation

Game 1

3 2

hours

Break 15 minutes

Game 2

4 1

1 hours

TABLE 1

All players must be at the field 15 minutes before game 1 starts. The game ends at 6.10 p.m. At what time must the players be at the field in the 24-Hour system?

A 1425

B 1545

C 1645

D 1825

14 In Diagram 8, ABD is a triangle with area 48 cm2. Given BC = 2CD

A

B C

D

8 cm

DIAGRAM 8

The length of BC is.

A 4

B 8

C 12

(9)

-- 9- Learning To Score 2006 : SET 2

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15 In Diagram 9, ABCD is a rectangle and CDE is a right-angle triangle. Given AD = 10 cm,

DE = 12 cm and CE = 9 cm.

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

A 90

B 96

C 108

D 120

16 In Diagram 10, ABCD is a circle with centre O.

x

o

53

º

A

B

C

D

DIAGRAM 10 The value of x is.

A 45

B 82

C 90

D 98

10 cm

9 cm 12 cm

A B

D C

(10)

-- 10- Learning To Score 2006 : SET 2

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50/1

17 In Diagram 11, PQRS is an irregular polygon. Given that PQ = QR and PS = SR.

The value of x is.

A 11

B 12

C 22

D 51

18 Diagram 12 shows a combined solid of a cuboid and a right pyramid. Given, the height

of the right pyramid is 5.5 cm.

Calculate the volume, in cm3, of the solid is.

A 89 cm 3

B 94 cm 3

C 105 cm 3

D 115 cm 3

6 cm

3 cm

4 cm

DIAGRAM 11

DIAGRAM 12

R Q

P

100˚

78˚

x

(11)

-- 11- Learning To Score 2006 : SET 2

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50/1

19 Diagram 13 shows a circle with centre O.

x

M

N

The length of the minor of arc MN is 27

2 1

cm and the radius of the circle is 21 cm.

Calculate the value of x.

( Use

7 22

)

A 75º

B 105º

C 270º

D 285º

20 In Diagram 14 shows a net of a cone.

6 cm 10 cm

The volume of the cone in cm3

, is

A 30

B 96

C 120

D 144

DIAGRAM 13

DIAGRAM 14

O

(12)
(13)

-- 13- Learning To Score 2006 : SET 2

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50/1

23.

Figure triangles in diagram 17 are drawn on square grids. The figure P is redrawn using a scale 1 : 2.

A

P

C

B

D

DIAGRAM 17

(14)

-- 14- Learning To Score 2006 : SET 2

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50/1

24. The points A(4, 6), B(3, 1), C(-2, 2) and D(-1, 6) are plotted on the Cartesian plane.

DIAGRAM 18

Which of the point A, B, C or D is not plotted correctly?

C

y

x

0

4

2

-2

4

2

A

6

D

(15)
(16)

-- 16- Learning To Score 2006 : SET 2

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50/1

27. Diagram 21 is a square grid of sides 1 unit. A point M is 8 units from JK

and equidistant from HI and IJ.

DIAGRAM 21

Which of the point A, B, C or D is M?

28.

-3 -2 -1 0 1 2 3 4 5

DIAGRAM 22

Diagram 22 is a number line which shows the solutions for

A –3 < x < 3 B –3 < x ≤ 3

C x ≤ 3 and x ≥-3 D x ≥-3 and x < 3

29. The ages of Ali, Ahmad and Muthu are in the ratio 3 : 3 : 4 . The total ages is 50 . How old is Muthu?

A 15 B 20 C 25

D 50

K

J

D

H

I

C

(17)

-- 17- Learning To Score 2006 : SET 2

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50/1

30. The pictogram in table 2 shows the number of cars in town S and T.

Town S

Town T

TABLE 2

represents 10 national cars

represents 5 national cars

The ratio of the cars in town S to the cars in town T is

A 7 : 5 B 5 : 7 C 7 : 10 D 10 : 7

31. The ratio of the donation collected by Kamil, Hakim and Luqman is 2 : 4 : 6. The difference between Kamil and Hakims collection is RM 20. The donation collected

by Luqman is

A RM 10 B RM 20 C RM 60

(18)

-- 18- Learning To Score 2006 : SET 2

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50/1

32. The frequency in table 3 shows the grades obtained by 120 pupils. These data are represented in a pie chart in diagram 23.

Grade A B C D

No. of pupils 36 50 20 14

TABLE 3

DIAGRAM 23

Which grade is wrongly labelled?

A Grade A B Grade B C Grade C D Grade D

33. The rope which is 2.00 m long has been cut into 3 parts, K, L and M. Part K is 30 longer than part L. Part M is 40 shorter than part L. The length of part L, in cm is

A 30 B 70

C 100 D 200

D

C

B

108

A

150

60

(19)
(20)

-- 20- Learning To Score 2006 : SET 2

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50/1

36 The distance between town S and town T is 60 km. Miss Linda drove from town S to T at an average speed of 100 km/h. For the way back from town T to town S, he spent 24 minutes more than the time from town S to town N. Calculate the average speed for the way back, in km/h.

A 40 B 60 C 66 D 84

37. Azizah has 5 packet of sugar each weight 1.2 kg. She uses two packet and

400 g of another packet of sugar, then divides the balance into 4 smaller packets of

same mass. The weight of sugar in each smaller packet is

A 240 g B 600 g C 800 g D 900 g

38 (2,3) is the midpoint of a straight line joining the points Q(-4,k) and R(8,8). Then the value of k is

A 5 B 3 C -2 D -5

39 Diagram 25 shows a net of a cylinder.

DIAGRAM 25

The perimeter of the whole figure, in cm , is

A 40 B 80 C 105 D 130

15

25

(21)

-- 21- Learning To Score 2006 : SET 2

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50/1

40 Which of the following is the graph for the function y = 6 – 3x ?

END OF QUESTION PAPER

0

-6

x

2

D.

y

0

6

x

2

B.

y

0

6

x

2

0

6

x

-2

C.

A.

Figur

 TABLE 1
TABLE 1 . View in document p.8
Table 1 shows the time allocation  for a game.
Table 1 shows the time allocation for a game . View in document p.8
                                         TABLE 4    What is the mean ?
TABLE 4 What is the mean . View in document p.19

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