Pmrmatk1 set2

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 Mathematics Paper 1 July 2006 1 1/4 hours

- - 2- Learning To Score 2006 : SET 2

Unit Kurikulum Jabatan Pelajaran Perak

Lihat sebelah 50/1

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

RELATIONS 1. ma na = nma 2. nmmm aaa

3. mnnm aa

4. Distance = 2122

12 yyxx

5. Midpoint

2

,2

, 2121 yyxxyx

6. Average speed = takentime

distance

7. Mean =data ofnumber

data of sum

8. Pythagoras Theorem 222 bac

SHAPE AND SPACE

1. Area of rectangle = length width

2. Area of triangle = heightbase2

1

3. Area of parallelogram = base height

4. Area of trapezium = heightsides parallel of sum2

1

5. Circumference of circle = rd 2 6. Area of circle = 2r 7. Curved surface area of cylinder = rh2



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8. Surface area of sphere = 24 r 9. Volume of right prism = cross sectional area length 10. Volume of cuboid = length heightwidth 11. Volume of cylinder = hr 2

12. Volume of cone = hr 2

3

1

13. Volume of sphere = 3

3

4r

14. Volume of right pyramid = heightarea base3

1

15. Sum of interior angles of polygon = 1802 n

16. 360

centreat subtended angle

circle of ncecircumfere

length arc

17. 360

centreat subtended angle

circle of area

sector of area

18. Scale factor, PA

PAk

'

19. Area of image = object of area2 k



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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

S



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5 Diagram 3 shows a number line.

The value of q p is A � 0.3

B � 1.5

C 0.3

D 1.5

6 If 3

x =

57

38, the value of x is.

A 4

B 3

C 2

D 1

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.

What is the length of the rope, in cm, that is used to tie one box?

A 24.50

B 23.25

C 22.75

D 12.25

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

A RM43740

B RM50600

C RM54000

D RM58600

DIAGRAM 3

5

3

p q -0.9



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

The value of mlkj is

A 485 B 495 C 590 D 625

10 In Diagram 5, KL, MN, PQ and RS are straight lines.

DIAGRAM 5

Which of the angles A, B, C or D, is equal to angle W ?

DIAGRAM 4

U V

P

Q

S

R

T

85

k

m j

l

130

R

L

Q

N

A

B

C D

W

K

M

P

S



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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˚

x˚



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13 Table 1 shows the time allocation for a game.

Game Time Allocation Game 1

3

2hours

Break 15 minutes Game 2

4

11 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 cm 2 . Given BC = 2CD

A

BCD

8 cm

DIAGRAM 8 The length of BC is.

A 4 B 8 C 12 D 16



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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 cm 2 , 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 53º

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

E



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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 cm 3 , 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

S



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19 Diagram 13 shows a circle with centre O.

x

M

N

The length of the minor of arc MN is 272

1cm 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

�



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21. Diagram 15 shows a circle ABCD with centre O. Given that BD = 8 cm and the length of radius is 5 cm DIAGRAM 15

Calculate the length of EC

A 2 cm B 3 cm C 5 cm D 6 cm

22. Diagram 16, A�B�C� is the image of ABC under enlargement with centre O. Given that OA = 4 cm, AA� = 8 cm and the area of ABC is 4 cm2

DIAGRAM 16

Calculate the area of A�B�C�.

A 8 cm2 B 12 cm 2

C 16 cm2 D 36 cm2

A

O

C

B

E

O A

D

B�

A�

A B

C�



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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

Which of the figures A, B, C and D is the scale drawing of P?



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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

B



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25. On the Cartesian plane shown above, the x-coordinate of a point S is �3.

DIAGRAM 19

Which of the point A, B, C or D is possible for the point S? 26. Diagram 20 shows a cylinder. Given that the total surface area is 1672 cm2. DIAGRAM 20

Calculate the radius, r. (Use = 7

22 )

A 7 cm B 14 cm C 12 cm D 28 cm

5

4

3

2

1

-1

-2

-3

y

x -2 -1 -3 1 3 4 2

D

C

BA

A

O

5 cm

r



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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

B A



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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 Hakim�s collection is RM 20. The donation collected by Luqman is A RM 10 B RM 20 C RM 60 D RM 120



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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

40



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34. Diagram 24 is a bar chart which shows the number of students passed in Mathematics Test.

2A 2B 2C

CLASSES

NU

MB

ER

OF

ST

UD

ET

S

MALE FEMALE

DIAGRAM 24 The difference between the male students and the female students in class 2A who passed in Mathematics test is 8. How many female students from 2B and 2C passed the test?

A 16 B 32 C 48 D 96

35 The table 4 shows the frequency of mark obtained by a group of pupils in a quiz.

Marks 1 2 3 4 5

Frequency 3 10 5 8 4 TABLE 4

What is the mean ?

A 2 B 3 C 5 D 6

Male Female



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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



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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.

y y

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Pmrmatk1 set2