# SMK Kai Chung, Bintangor SPM First Trial Exam 2007

SMK Kai Chung, Bintangor

Matemathemics SPM First Trial Exam 2007

Paper 1

1 hour 15 minutes

(40 marks)

NAME:______CLASS:______

Instruction: This question paper consists of 40 questions. Answer all questions. Choose only one correct answer for each question. You may use a non-programmable scientific calculator.

1

SPM First Trial Exam 2007

1. Round of 0.0595 correct to two

significant figures.

A 0.05B. 0.095

C0.06D0.060

2. Express 3.862 x 10-6 in single number

A386200B3862

C0.003862D0.000003862

3. =

AC

BD

4. Express as a number in

base five.

A4315C43105

B43015D431005

5. 1010012 – 110112 =

A 11102B11002

C 10012D10112

6.

In the Diagram 1, ABCDE is a regular pentagon. GAB and GFC are straight lines. The value of x + y =

A28C36

B30D40

7. If , then x =

A 23C123

B 33D133

8. In the diagram 2, PQ is a tangent to the circle with centre O at P and SRQ is a straight line. Find the value of x.

A 35C55

B 45D75

9.

PQRS is part of the sides of a polygon. Given that PQH and HRS are straight lines, how many sides does the polygon have?

A 5C10

B 9D12

10. Given that cos x = -0.5736 and 00≤x≤3600, find the values of x.

A and

B and

C and

D and

11.

In Diagram 3, PRS is a straight line and sin PRQ = . What is the value of tan ?

A-C

B-D

12.

Diagram 4 show a cuboid with a horizontal base PQRS. K is the midpoint of TW. Name the angle between plane PTK and plane UVWT.

A  PKTCPKU

B PTUDPKS

13.

Diagram 5 shows two vertical flagpoles, EF and GH, on a horizontal ground. The angle of depression of vertex F from vertex H is 32. Calculate the value of h.

A3.2C7.8

B5.5D9.2

14.

In the Diagram 6, point K, L, and M lie on a level ground. The bearing of point L from point M is

A052C072

B062D082

15. In the Diagram 7, N and S are the north and South Poles respectively. The latitude of P is 50N.

Given that PM = MS, find the latitude of M.

A5SC20S

B5ND25S

16.

Find the coordinates of the image of point G under a reflection in the line KL.

A (-5, 3)C(-1, 5)

B (-3, 3)D(1, 7)

17.

X is a translation . Y is a clockwise rotation of 90 about point (2, 2). Among points A, B, C and D in the diagram, which is the image of point P under the combined transformation XY?

18. If , then express n in term of m =

AC

BD

19.

AC

BD

20. Find the value of

A C

BD

21 Given that , find the value of m.

A -6C2

B -2D6

22. Given that 25x = 56, find the value of x.

A 1C3

B 2D4

23. Given that x > -1 and . Find all the integer values of x which satisfy both inequalities.

A -1, 0, 1, 2C0, 1

B -1, 0, 1D0, 1, 2

24. In the Diagram 8,  is the universal set

All the members of the set p are

A {5, 7}C{4, 7, 8}

B {6, 9}D{5, 6, 9}

25. Given that set

 = {x : 1  x  9, x is an integer}

P = {x : x is a multiple of 3} and

Q = {x : x is a prime number}

Find n(P  Q).

A 1C5

B 2D8

26. Diagram is a Venn diagram which shows sets P, Q and R. The universal set  = P  Q  R.

Which of the following statements is not true?

A R Q CQR = R

B P  R =  D(P Q)  P

27.

In the Diagram 9, the gradient of EF is 2 and the distance between F and G is 10 units. Find the equation of EF.

AC

BD

28.

In the Diagram 10, PQ is a straight line with the gradient - . Find the x-intercept of the straight line PQ.

A - C- 12

B -4D-

29. Which of the following point lies on the straight line 5y = 3x + 7?

A (1, 2)C(3, 6)

B (2, 1)D(6, 3)

3 / 6 / 7 / 9
23 / 25 / 51 / 56

30.

The cards shown above are placed into a box. A card is picked at random from the box. Find the probability of picking a prime number.

A C

B D

31. A class comprises 15 boys and 10 girls. In a Mathematics test, 3 boys fail. If a student is chosen at random from the class, the probability that student fails the test is . Find the number of girls who fail the test..

A 1C4

B 3D7

32. Table 1 shows the variables u, v and w such that u varies directly as the square of v and inversely as w.

u / v / w
50 / 5 / 3
x / 8 / 12

Calculate the value of x.

A 32C64

B 48D90

33. M varies inversely as the square of e. The relationship between M and e

A M  e2 CM 

B M DM 

34. Table 2 shows some values of variables x and y.

x / 4 / m
y / 8 / 4

Given that y ,calculate the value of m.

A2C16

B8D64

35. It is given that and h = 2 when m = 25. calculate the value of h when m 36.

A C15

B D60

36. The pie chart shows the distribution of three car models sold by a company during a certain period.

Given that the total number of cars sold is 144, find the number of ‘Kancil’ cars sold.

A48C96

B64D11.5

37.

Score / 0 / 1 / 2 / 3 / 4
Frequency / 1 / x / 4 / 2 / 3

Table 3 shows the score obtained by a group of students in a quiz. If the mean score is 2, the value of x is

A3C5

B4D6

38.

September / 
October / 
November
December / 

Represents 5 bicycles

Diagram 11 is a pictograph which shows the number of bicycle sold in a shop for four consecutive months. If the ratio of bicycles sold in October to that of November is 1:2, calculate the total number of bicycles sold during the four months.

A30C80

B75D100

39. If , then n =

AC3

BD4

40. Find the product of

AC

BD

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