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

  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 The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. _{m n m  n}

RELATIONS

1. a  a = a _{m m m n}

  

  2. a  a  a _{m mn n} 3. a  a

    _{2 2}

  4. Distance =  x  x    y  y  _{2 1 2 1}

  5. Midpoint

  x x y y

      _{1 2 1 2}

    x , y  ,

   

  2

  2   distance

  6. Average speed = time taken sum of data

  7. Mean = number of data

  8. Pythagoras Theorem _{2 2 2}

  c  a  b

SHAPE AND SPACE

  1. Area of rectangle = length  width

  1  

  2. Area of triangle = base height

  2

  3. Area of parallelogram = base  height

  1  

  4. Area of trapezium = sum of parallel sides height

  2

  5. Circumference of circle =  d  ₂ 2  r

  

  6. Area of circle = r

  7. Curved surface area of cylinder =  rh

  2

  2

  8. Surface area of sphere = 4 r 

  9. Volume of right prism = cross sectional area  length

  10. Volume of cuboid = length  width  height ₂

  11. Volume of cylinder =  r h

  1 ²

  r h

  12. Volume of cone = 

  3

  4 ³

  r

  13. Volume of sphere = 

  3

  1

  14. Volume of right pyramid =  base area  height

  3

  

  15. Sum of interior angles of polygon =  n  2   180 arc length angle subtended at centre  16.

  



  circumfere nce of circle 360 area of sector angle subtended at centre 17. 

  

  area of circle 360 _'

  PA

  18. Scale factor, k 

  PA ₂

  19. Area of image = k area of object

  

  Answer all questions.

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

• –35 , –24 , –17, p, – 9, 8

  DIAGRAM 1

  A

• –15

  B

• –14

  C

• –12

  D

• –11 2 Diagram 2 shows four number cards, R, S, T and U.

  

2.513 3.145 4.051 4.405

S T U R

  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 ‘

• 0.9

  5 3 p

  DIAGRAM 3

• – 0.3
• – 1.5

  A RM43740 B RM50600 C RM54000 D RM58600

  12.25

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

  22.75 D

  23.25 C

  24.50 B

  A

  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?

  3

  7 Kamal has a rope measuring 2.94 m. She uses

  1

  2 D

  3 C

  4 B

  A

  38 , the value of x is.

  57

  =

  x

  3

  6 If

  1.5

  0.3 D

  C

  B

  A

  The value of q  p is

  5 Diagram 3 shows a number line.

  q

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

  Q R

k 

l 

  P j 

  S m 

  

  85

  130 T

  V U

  DIAGRAM 4 The value of j  k  l  m is

  A 485 B 495 C 590 D 625

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

  Q S K A L

  W

  B M C

  N D P R

  DIAGRAM 5 Which of the angles

A, B, C or D, is equal to angle W ?

11 In Diagram 6, QRST is a square and PQR is a right-angled triangle. Q is the midpoint of PR and PR=10m.

  P Q

  13 m

  R T S U 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.

  S T

  x ˚

  118˚ 78˚

  R Q P DIAGRAM 7 The value of x is

  A 50 B 62 C 65 D 102

  13 Table 1 shows the time allocation for a game.

  Game Time Allocation

  Game 1

  2 hours

  3 Break 15 minutes Game 2

  1 1 hours

  4 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 ₂

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

  A 8 cm B D C

  DIAGRAM 8 The length of BC is.

  A

  4 B

  8 C

  12 D

  16

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.

  B A E 9 cm 10 cm 12 cm

  D C ₂ Calculate the area, in cm , of the shaded region is.

  A

  90 B

  96 C 108

  D 120 16 In Diagram 10, ABCD is a circle with centre O.

  B A x º

  53 o C D

  DIAGRAM 10 The value of x is.

  A 45 B 82 C 90 D 98

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

  Q 78˚

  S

  x

  100˚ R P DIAGRAM 11 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.

  6 cm 3 cm 4 cm ₃ DIAGRAM 12 Calculate the volume, in cm , of the solid is. ₃ A 89 cm ₃ B 94 cm ₃ C 105 cm ₃ D 115 cm

19 Diagram 13 shows a circle with centre O.

  M x O N

  DIAGRAM 13

  1 The length of the minor of arc MN is 27 cm and the radius of the circle is 21 cm.

  2 Calculate the value of x .

  22 ( Use   )

  7 A 75º

  B 105º C 270º D 285º 20 In Diagram 14 shows a net of a cone.

  10 cm 6 cm

• ₃

  DIAGRAM 14 The volume of the cone in cm , is

  A 30 B 96 C 120 D 144

  21. D iagram 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 cm

  2 DIAGRAM 16 Calculate the area of A’B’C’.

  A 8 cm

  2 B 12 cm

  2 C 16 cm

  2 D 36 cm

  2 A

  O C B E O A D B’

  A’ A B

  C’

  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?

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

  

y

A D

  

6

4 B

  C

  

2

x

• 2

  2

  4 DIAGRAM 18 Which of the point A, B, C or D is not plotted correctly?

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

  4

  2 D C B A A O 5 cm r

  4

  3

  1

  1

  2

  3

  5

• 2
<
• 3
>1
• 2
• 3 y x

  DIAGRAM 19

  A 7 cm B 14 cm C 12 cm D 28 cm

  22 )

  7

  Calculate the radius, r. (Use  =

  DIAGRAM 20

  2 .

  26. Diagram 20 shows a cylinder. Given that the total surface area is 1672 cm

  Which of the point A, B, C or D is possible for the point S?

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.

  H

  I B A

• • •

• C
• D K J

   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 &lt; x &lt; 3 B –3 &lt; x ≤ 3 C x ≤ 3 and x ≥ -3 D x ≥ -3 and x &lt; 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

  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

  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

  D A 40 C 108

  60 150 B

  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

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

  3

  4 TABLE 4 What is the mean ? A 2 B 3 C 5 D 6

  8

  5

  10

  3

  5 Frequency

  4

  2

  2A

  1

  Marks

  96 35 The table 4 shows the frequency of mark obtained by a group of pupils in a quiz.

  16 B 32 C 48 D

  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

  2C

CLASSES

N U M B E R O F S T U D E T S

MALE FEMALE

  

2B

  Male Female

  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.

  25

15 DIAGRAM 25

  The perimeter of the whole figure, in cm , is A 40 B 80 C 105 D 130

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

  A. y y B.

  6

  2 x

  2 x

  6 y y C.

  D.

  6 2 x

• 2

  x

• 6