PMR MAT K1 SET 2

8/2/2019 PMR MAT K1 SET 2

1/21

JABATAN PELAJARAN NEGERI PERAK

_______________________

PENILAIAN MENENGAH RENDAH 2006

LEARNING TO SCORE

MATHEMATICSPaper 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

50/1MathematicsPaper 1July2006

1 1/4 hours


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- 2- Learning To Score 2006 : SET 2

Unit KurikulumJabatan Pelajaran Perak

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

RELATIONS

1.

m

a

n

a =

nm

a

2. nmmm aaa

3. mnnm aa

4. Distance = 2122

12 yyxx

5. Midpoint

2

,

2

, 2121yyxx

yx

6. Average speed =takentime

distance

7. Mean =dataofnumber

dataofsum

8. Pythagoras Theorem222 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 = heightsidesparallelofsum2

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 = hr2

12. Volume of cone = hr2

3

1

13. Volume of sphere = 3

3

4r

14. Volume of right pyramid = heightareabase3

1

15. Sum of interior angles of polygon = 1802 n

16.

360

centreatsubtendedangle

circleofncecircumfere

lengtharc

17.

360

centreatsubtendedangle

circleofarea

sectorofarea

18. Scale factor,PA

PAk

'

19. Area of image = objectofarea2 k


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Answer all questions.

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

DIAGRAM 1A 15B 14C 12D 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 TB S and TC R and UD S and U

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

A 26B 49C 79D 91

4 Which of the following is the factor of 249?

A 3B 7

C 9D 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 If3

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 uses3

1of 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. Afterdoing 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

UV

P

Q

S

R

T

85

k

m j

l

130

R

L

Q

N

A

B

CD

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 ofPR 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 7The value of x is

A 50B 62

C 65

D 102

P

Q

T

U

13 mR

S

T

R

S

QP

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 minutesGame 2

4

11 hours

TABLE 1

All players must be at the field 15 minutes before game 1 starts. The game ends at6.10 p.m. At what time must the players be at the field in the 24-Hour system?

A 1425B 1545

C 1645D 1825

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

A

BCD

8 cm

DIAGRAM 8

The length of BC is.

A 4B 8C 12D 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 cm2, of the shaded region is.

A 90B 96C 108D 120

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

x

o 53

AB

C

D DIAGRAM 10

The value of x is.

A 45

B 82

C 90

D 98

10 cm9 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 11B 12

C 22

D 51

18 Diagram 12 shows a combined solid of a cuboid and a right pyramid. Given, the heightof 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 cm3

D 115 cm3

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 .

( Use7

22 )

A 75B 105C 270D 285

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 120D 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 andthe length of radius is 5 cm

DIAGRAM 15

Calculate the length of EC

A 2 cmB 3 cmC 5 cmD 6 cm

22. Diagram 16, ABC 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 ABC.

A 8 cm2B 12 cm 2C 16 cm2D 36 cm2

A

O

C

B

E

OA

D

B

A

AB

C


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

A

PC

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

x0

4

2-2 4

2

A6

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 20Calculate the radius, r. (Use =

7

22)

A 7 cmB 14 cmC 12 cmD 28 cm

5

4

3

2

1

-1

-2

-3

y

x-2 -1-3 1 3 42

D

C

B

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 < 3B 3 < x 3C x 3 and x -3D 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 15B 20C 25D 50

KJD

HI

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

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

A RM 10B RM 20C RM 60D RM 120


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

Grade A B C DNo. of pupils 36 50 20 14

TABLE 3

DIAGRAM 23

Which grade is wrongly labelled?

A Grade AB Grade B

C Grade CD Grade D

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

A 30B 70C 100D 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 inMathematics Test.

2A 2B 2C

CLASSES

NUMBER

OFSTUDETS

MALE FEMALE

DIAGRAM 24

The difference between the male students and the female students in class 2A whopassed in Mathematics test is 8. How many female students from 2B and 2C

passed the test?

A 16B 32C 48D 96

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

Marks 1 2 3 4 5Frequency 3 10 5 8 4

TABLE 4What is the mean ?

A 2B 3C 5D 6

Male

Female


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

A 40B 60C 66D 84

37. Azizah has 5 packet of sugar each weight 1.2 kg. She uses two packet and400 g of another packet of sugar, then divides the balance into 4 smaller packets ofsame mass. The weight of sugar in each smaller packet is

A 240 gB 600 g

C 800 gD 900 g

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

A 5B 3C -2D -5

39 Diagram 25 shows a net of a cylinder.

DIAGRAM 25

The perimeter of the whole figure, in cm , is

A 40B 80C 105D 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

x2

0

6

x-2

C.

A.

yy

PMR MAT K1 SET 2

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