### 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 **

*
*

-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

*
*

-9. Volume of right prism = cross sectional area

###

### length

10. Volume of cuboid = length

###

### width

###

### height

14. Volume of right pyramid = basearea height

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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**

**p**

**, **

_{–}

_{–}

** 9, 8 **

*
*

**-5** Diagram 3 shows a number line.

The value of *q**p*is

**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.

*
*

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

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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}_{˚}

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***-- ****8****- ****Learning To Score 2006 : SET 2 **

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**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

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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

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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 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

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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 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

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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

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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

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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

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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

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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

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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.