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.
7. If x5  4310 , then x =
A
23
C
B
33
D
1. Round of 0.0595 correct to two
significant figures.
A
0.05
B.
0.095
C
0.06
D
0.060
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.
2. Express 3.862 x 10-6 in single number
A
386200
B
3862
C
0.003862
D
0.000003862
25000
=
2  10  3
1.25  103
A
1.25  105
B
123
133
3.
C
D
1.25  105
1.25  107
4. Express 4  53  3  52  1 as a number in
base five.
A
4315
C
43105
B
43015
D
431005
5. 1010012 – 110112 =
A
11102
B
C
10012
D
A
B
35
45
C
D
55
75
9.
11002
10112
6.
Diagram 1
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
5
C
10
B
9
D
12
In the Diagram 1, ABCDE is a regular
pentagon. GAB and GFC are straight
lines. The value of x + y =
A
28
C
36
B
30
D
40
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SPM First Trial Exam 2007
10. Given that cos x = -0.5736 and
00≤x≤3600, find the values of x.
A
55 and 145
B 125 and 235
C 145 and 235
D 235 and 305
13.
Diagram 5
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.
A 3.2
C
7.8
B 5.5
D
9.2
11.
Diagram 3
14.
Diagram 6
In Diagram 3, PRS is a straight line and
3
sin PRQ = . What is the value of
5
tan  ?
3
4
A C
4
5
4
5
B D
5
3
In the Diagram 6, point K, L, and M lie
on a level ground. The bearing of point
L from point M is
A 052
C
072
B 062
D
082
12.
15. In the Diagram 7, N and S are the north
and South Poles respectively. The
latitude of P is 50N.
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  PKT
C
PKU
B  PTU
D
PKS
Given that PM = MS, find the latitude
of M.
A 5S
C
20S
B 5N
D
25S
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SPM First Trial Exam 2007
16.
1
20. Find the value of (27  2 6 )  3  (2 3  3).
1
32
A
C
2
9
8
4
B
D
3
9
1
21 Given that m  m  4 , find the value
3
of m.
A -6
C
2
B -2
D
6
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)
22. Given that 25x = 56, find the value of x.
A 1
C
3
B 2
D
4
17.
x
 9  10 . Find
2
all the integer values of x which satisfy
both inequalities.
A -1, 0, 1, 2
C
0, 1
B -1, 0, 1
D
0, 1, 2
23. Given that x > -1 and
24. In the Diagram 8,  is the universal set
  2
X is a translation   . Y is a
1 
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?
Diagram 8
All the members of the set p are
A {5, 7}
C
{4, 7, 8}
B {6, 9}
D
{5, 6, 9}
mn
 3 , then express n in term
m  5n
of m =
3m
m  15
A
C
m  15
3m
3m
3m
B
D
m  15
15  m
18. If
19. (e 1h 3 ) 4  e 2 h 3 
A e 2 h 9
C
10
B eh
D
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
1
C
5
B
2
D
8
e5h 4
e 6 h15
3
SPM First Trial Exam 2007
26. Diagram is a Venn diagram which
shows sets P, Q and R. The universal
set  = P  Q  R.
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)
30.
3
6
7
9
23
25
51
56
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.
1
1
A
C
8
2
3
3
B
D
8
4
Which of the following statements is
not true?
A R Q
C
QR=R
B PR=
D
(P Q)  P
27.
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
2
the test is
. Find the number of girls
5
who fail the test..
A
1
C
4
B
3
D
7
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.
y  2x  8
A y  x8
C
y  2 x  10
B y  2x  6
D
28.
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
50
x
Diagram 10
v
5
8
w
3
12
Table 1
Calculate the value of x.
A
32
C
64
B
48
D
90
In the Diagram 10, PQ is a straight line
1
with the gradient . Find the x3
intercept of the straight line PQ.
4
A C
- 12
3
1
B -4
D
12
33. M varies inversely as the square of e.
The relationship between M and e
1
A
M  e2
C
M
e
1
1
B
M
D
M 2
e
e
4
SPM First Trial Exam 2007
34. Table 2 shows some values of variables
x and y.
x
y
4
8
38.
September
m
4
October
Table 2
1
Given that y 
,calculate the value
x
of m.
A 2
C
16
B 8
D
64
November
December
Diagram 11
1
and h = 2 when
m
m = 25. calculate the value of h when m
36.
3
A
C
15
5
5
B
D
60
3
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.
A 30
C
80
B 75
D
100
36. The pie chart shows the distribution of
three car models sold by a company
during a certain period.
 4 3    2
39. If    2     , then n =
 3   2n   5n 
1
A
C
3
3
3
B
D
4
4
 4
40. Find the product of  2  5
3
 20 
8 
8


A 
C 
 15 
 15 
6
6 
8
  12 


B 
D 
  20  15 
 9 
Given that the total number of cars sold
is 144, find the number of ‘Kancil’ cars
sold.
A 48
C
96
B 64
D
11.5
37.
0
1
1
x
2
4
3
2

 Represents 5 bicycles
35. It is given that h
Score
Frequency


4
3
Table 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
A 3
C
5
B 4
D
6
Prepared by
___________________
(MISS LING LEE LEE)
5
5
Checked by
_______________
(MISS MARY LU)