PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA … file1449/1 [Lihat sebelah SULIT SULIT 1449/1 1449/1 Mathematics Paper 1 Sept. 2008 1 1 4 hours PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN

1449/1 [Lihat sebelah SULIT

SULIT 1449/1 1449/1 Mathematics Paper 1 Sept. 2008

1 14

hours

PEPERIKSAAN PERCUBAAN

SIJIL PELAJARAN MALAYSIA 2008 SEKOLAH-SEKOLAH MENENGAH ZON A KUCHING

MATHEMATICS

Paper 1

One hour fifteen minutes

DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO

1. This question paper consists of 40 questions. 2. Answer all questions. 3. Each question is followed by four alternative answers, A, B, C or D. For each

question, choose one answer only. Blacken your answer on the objective answer sheet provided.

4. If you wish to change your answer, erase the blackened mark that you have made. 5. The diagrams in the questions provided are not drawn to scale unless stated. 6. A list of formulae is provided on pages 2 to 3. 7. You may use a non-programmable scientific calculator.

This question paper consists of 20 printed pages.

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MATHEMATICAL FORMULAE

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

RELATIONS

1 nmnm aaa 12 Pythagoras Theorem

222 bac

2 nmnm aaa 13 12

12

xxyym

3 mnnm aa 14 y–intercept m = – x–intercept

4

acbd

bcadA 11

5

Sn

AnAP

6 APAP 1

7 Distance 212

22 1

yyxx

8 Midpoint,

2

,2

, 2121 yyxxyx

9 distance travelled Average speed = time taken

10 sum of data Mean = number of data

11 Sum of ( class mark frequency ) Mean = Sum of frequencies

,


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SHAPES AND SPACE

1 Area = 21 sum of parallel sides height

2 Circumference of circle = rd 2

3 Area of circle 2r

4 Curved surface of cylinder hr2

5 Surface area of sphere 24 r

6 Volume of right prism = cross sectional area length

7 Volume of cylinder hr 2

8 Volume of cone hr 2

31

9 Volume of sphere 3

34 r

10 Volume of right pyramid 31 base area height

11 Sum of interior angles of a polygon 01802 n

12 arc length angle subtended at centre circumference of circle = 360 o

13

area of sector angle subtended at centre area of circle = 360 o

14 Scale factor, k = PAPA

15 Area of image 2k area of object

,


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1. Round off 0.00236 to two significant figures.

A 0.002

B 0.0020

C 0.0023

D 0.0024

2. Calculate the value of 79.98 + 20.5 0.04 and round off the answer to two

significant figures.

A 59

B 590

C 5900

D 59000

3. The area of a rectangular piece of land is 13.92 km2. If its length is 4 800 m, find

its width, in m.

A 2.9 x 102

B 2.9 x 103

C 2.09 x 102

D 2.09 x 103

4. Given 2 g of metal X contains 205.8 10 atoms. Calculate the number of atoms

in 2.7 kg of metal X and express the answer in the standard form.

A 207.83 10

B 237.83 10

C 201.566 10

D 241.566 10

5. Express 12578 as a number in base five.

A 100025

B 100225

C 102225

D 122225


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6. Given that M – 101112 = 10112, find the value of M.

A 11002

B 1000102

C 1001002

D 1100102

7. Diagram 1 shows a rhombus PQRS.

Diagram 1

The value of y is

A 18

B 72

C 90

D 108

P

Q

S

R xo

yo

5xo


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8. In Diagram 2, PQRUV is a regular pentagon. PRS and VUT are two straight lines

which are parallel.

Diagram 2

Find the value of x + y.

A 72

B 108

C 144

D 180

9. In Diagram 3, PQ is a tangent to the circle QRSTU at Q and the length of the arc

QU is two and half times the length of the arc QR.

Diagram 3

The value of m is

A 30

B 50

C 70

D 100

V U

P

Q

R S

T

xo

yo


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10.

In Diagram 4, R, S and T are three points on a horizontal ground and SQ is a

vertical pole. The angle of elevation of Q from R is 49o. Calculate the angle of

depression of T from Q.

A 29o 54’

B 36o 101’

C 46o 10’

D 60o 6’

11. It is given that sin = 0.9397 and 180o ≤ ≤ 270o. Find the value of .

A 190o

B 220o

C 240o

D 250o

●

● R T ● ● 4 cm 8 cm S

Q

Diagram 4


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12. In Diagram 5, PQRT is a rectangle. S is the midpoint of RT.

Diagram 5

Find the value of cos xo.

A 34

B 35

C 34

D 35

P

xo

Q R

S

T

4 cm

6 cm


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Q

P M

N

U

T S

R

13. In the Diagram 6 shows a right prism with an isosceles triangle PQR as its

horizontal base. M and N are the midpoints of PR and SU respectively.

Diagram 6

Name the angle between plane PQR and plane UQS.

A NQR

B SQM

C NQM

D UQM

14. In Diagram 7, P lies to the South of Q.

Diagram 7

The bearing of Q from R is

A 030°

B 150°

C 230° D 330°

P

Q

R

105o

45o


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15. In Diagram 8, N is the North Pole, S is the South Pole, NOS is the axis of the

earth and LK is the diameter of the parallel of latitude.

Diagram 8

Given that ,550JOK the position of M is

A WN 00 77,30

B WN 00 157,30

C WN 00 63,30

D WN 00 117,30

N

S

L K

J

M

25° S

40° E

55°

117°

O


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I

II

16.

Diagram 9

Diagram 9 is drawn on a square grid. Quadrilateral II is the image of

quadrilateral I under a translation T. T is

A

44

B

44

C

44

D

44


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A

B

D

P

Q

C

y

x 0

2

2 4

-2

-2 -4 C

B

D A

P

17. Diagram 10 shows two trapeziums P and Q, drawn on square grids.

Diagram 10

Q is the image of P under an enlargement. Which of the points A, B, C or D,

is the centre of the enlargement?

18. Diagram 11 shows a few points on a Cartesian plane.

Diagram 11

Which of the points A, B, C, or D, is the image of the point P under rotation 090 clockwise about centre ?0,2


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19. (x – 3y)2 + 5xy =

A x2 – xy + 9y2

B x2 + xy + 9y2

C x2 – 8xy + 9y2

D x2 + 5xy + 9y2

Given that 5 4(3 ) 6 11m m , calculate the value of m.

A 25

B 12

C 2

20.

D 9

22 ( 3 ) (3 )x y x x y

A 2 27x y

B 2 27x y

C 2 27 6x xy y

21.

D 2 27 6x xy y


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Given that

3 2,1

mn

then n =

A

23 12m

B

23 12m

C

23 12m

22.

D

23 12

m

23. Simplify m n13

3-23 ×

m nn

4 10

39

A m n5 2

B mn 53

C m n53

D m n5

3.

24. Given that 48

x

= 32 x , find the value of x.

A -3

B -2

C 2

D 3

25. List all the integers x that satisfy the inequalities 4 – 3x x < 12 – 2x.

A 1, 2, 3

B 1, 2, 3, 4

C -1, 0, 1, 2, 3

D -1, 0, 1, 2, 3, 4


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26. List all the integers x which satisfy both the inequalities 3x–2 5x and

31

(2x + 6) < 4.

A 0, 1, 2

B -1, 0, 1, 2

C 0, 1, 2, 3

D -1, 0, 1, 2, 3

27. Given that 2 1 6 x

3x

= ( - 39 ), find the value of x.

A – 4

B – 3

C 2

D 3

28. Given that 2 3 m

4 28 1

m = 14-40 , calculate the value of m.

A 2

B 3

C 4

D 5

29. 21

1010

2-4 + 2

02-13

–

8 7-6-5

=

A

3-86 3

B

3-67 3

C

3-85-3

D

3-87 3


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30. Which of the following is a sketch of the graph, y = - 2x2 ?

A

B

C

D

0

y

0 x 2

y

0 x

x

y

y

0 x -2


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31. In the diagram 12, the gradient of the line MN is 35

. The x–intercept is

A 5

B 4

C 3

D 2

32. Given n(ξ) = 50, n(PQ)’ = 8, n(PQ) = 12 and n(Q) = 21, find n(P).

A 33

B 21

C 29

D 20

33. Diagram 13 is a Venn Diagram showing the number of elements in sets P, Q and

R. If n(QR)’ = n (P ’), then k =

A 4

B 5

C 6

D 7

1 2k 4

5

R

3

k -2 2

P

Q

Diagram 12

M(0, -3)

N 0

y

x

Diagram 13


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34.

Diagram 14

Diagram 14 is a Venn Diagram showing the sets J, K and L. The set

representing the shaded region is

A (KL) J ’

B J ’ (KL)

C (JKL)’

D (JK) ’ (KL)

35. Given that w varies inversely as the square root of u and w = 3 when u = 36.

Calculate the value of u when w = 9.

A 2

B 4

C 12

D 48

36. Table 1 shows the values of the variables P, Q and R, which satisfy the

relationship 2QP ∝R

.

Calculate the value of n.

A 7

B 8

C 36

D 50

P 3 14

Q 21 n

R 7 2

J L

Table 1

K


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37. Table 2 shows the number of doctors from three cities.

Gender

City Male Female

X 35 10

Y 25 15

Z 15 20

Table 2

If a female doctor is picked at random, find the probability of picking a female

doctor from city Y.

A 31

B 83

C 93

D 52

38. A bag has 12 yellow beads, 20 green beads and some blue beads. If a bead is

selected at random from the bag, the probability of selecting a green bead is125

.

The number of blue beads in the bag is

A 8

B 10

C 12

D 16


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39.

Table 3 above shows the scores obtained by a group of participants in a game.

The percentage of the participants who obtained more than mode is

A 6

B 36

C 58

D 94

40.

Table 4 above shows the result obtained by a group of candidates in a

Mathematics examination. If the information above is represented by a pie chart,

the angle of the sector representing the number of students who obtained Grade

C is 960. Find the value of m.

A 35

B 40

C 42

D 45

END OF QUESTION PAPER

Score 0 1 2 3 4

Number of participants 3 18 13 10 6

Grade A B C D

Number of candidates 25 m 32 18

Table 3

Table 4


ANSWER FOR MATHEMATICS ZONE PAPER 2008

Questions Answer 1 D 2 B 3 B 4 B 5 C 6 B 7 B 8 D 9 B

10 A 11 D 12 B 13 C 14 D 15 A 16 A 17 D 18 C 19 A 20 C 21 B 22 C 23 C 24 A 25 A 26 B 27 B 28 A 29 C 30 C 31 A 32 A 33 A 34 B 35 B 36 B 37 A 38 D 39 C 40 D


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PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA … file1449/1 [Lihat sebelah SULIT SULIT 1449/1 1449/1 Mathematics Paper 1 Sept. 2008 1 1 4 hours PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN