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 =
A28C36
B30D40
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 35C55
B 45D75
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 PKTCPKU
B PTUDPKS
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
A052C072
B062D082
15. In the Diagram 7, N and S are the north and South Poles respectively. The latitude of P is 50N.
Given that PM = MS, find the latitude of M.
A5SC20S
B5ND25S
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 CQR = 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 / 923 / 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 / w50 / 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 / my / 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 / 4Frequency / 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
1