Queen’s College 07/08
Half-yearly examination
S.1 Maths Paper II
Page 1
QUEEN’S COLLEGE
Half-yearly Examination, 2007-2008
Mathematics Paper II
Secondary 1
Date: 9th Jan, 2008.
Time: 10:30-11:30
Maximum Marks: 80
1. Write down the information required in the spaces provided in the Answer Sheet.
2. When told to open this question paper, check that all the questions are there. Look for
the words “END OF PAPER” after the last question.
3. Answer all questions. All the answers should be marked on the answer sheet provided.
4. Note that you may mark only ONE answer to each question. Two or more answers will
score no marks.
5. There are 40 questions in this paper. All questions carry equal marks.
6. The diagrams in this paper are not necessarily drawn to scale.
7. Calculator is not allowed in this paper.
Queen’s College 07/08
Half-yearly examination
S.1 Maths Paper II
Page 2
[Multiple Choice questions]
1. ‘Subtract a from 2b, then multiply the difference by
A. b – 2ac.
B.
(2ba)c
.
2
C.
c
’ may be written as
2
a 2bc .
D.
2. 1800 =
A. 2 4  3 2  5
B. 2 3  3 3  5
C. 2 2  3 4  5
D. 2 3  3 2  5 2
3.
Find the next term of the sequence
1, 3, 9, 27
A. 81
B.
30
C.
80
D. 54
4. Which of the following is NOT an equation?
A. 0.7a = 2.8
B.
5a – 1 = 11
12 a
5
D.
7a + 3
C. 16 =
5. Which of the following is NOT true when r = –2 ?
A. 1 – r = 3
B.
C. 5r = 2r – 6
D.
-2r = 4
6
+1=4
r
6. For the equation
2(3y + 1) – 3(y + 2) = 2, y =
A.

4
.
3
B.
–1.
C.
2.
D.
1
.
3
(a 2b)c
.
2
Queen’s College 07/08
Half-yearly examination
7.
1
(4k + 3) =
3
S.1 Maths Paper II
Page 3
1
(3k –5) ,
2
then k =
A. 21.
8. If 1 
B.
16.
C.
m m m

  m  1,
2
4 8
A. 8.
D. 21.
then m =
16
.
15
B.
8.
8
.
9
C.
D.
1
.
7
9. If a = 3 and b = -4, then a 2 – b 2 =
A. -7.
B. 20.
C.
14.
C.
1
14
D. 2.
 1  1   1  1 
10.              
 6  8    4  3 
A. 3
1
2
3
B.
1
2
D.

1
2
11. If x is positive and y is negative, which of the following statements must be true?
I. x – y is positive.
II. x + y is negative.
III. (x + y) 2 is positive.
A. I and III only
B.
II only
C.
III only
D. I and II only
12. A pack of 4 dozen postcards is 4.2cm thick.
Estimate the thickness of each postcard.
A. 1.05cm
B.
0.35cm
C.
0.875mm
D. 0.155mm
Queen’s College 07/08
Half-yearly examination
S.1 Maths Paper II
Page 4
13. Alan has $x and Jacky has twice as much money as Alan. If Jacky spends $15 and gives
half of the remainder to his brother, how much does Jacky still have?
A.
1x

$   15


2 2
B. $
1
(2 x  15)
2
C.
$
1
(2 x  15)
2
D.
$(4x – 60)
14. The cost ($C) of producing n radio sets per day is given by the formula
C=
1
n (n + 100) + 50. Find the cost of producing 30 radio sets per day.
2
A. $600
B.
$2000
C.
$1900
15. Find the distance between A and G.
A
BC
D
EF
G
H
7 6 5 4 3 21 0 1 2 3 4 5 6
A. +10
B.
+8
C.
2
D. +2
16. Evaluate  2 2  (3) 2  (4) 2  (2) 2 .
A. 52
B.
-52
C.
32
D. 40
17. Solve the equation 54  3( x  2)  6 .
7
A. 2
B.
3
18. Find the largest number in
A.
2
3
B.
7
8
C.
6
D. 7
2 3
4
7
8
,
,
,
and.
8
3 4 11 5
C.
4
5
D.
1
2
D. $3950
Queen’s College 07/08
Half-yearly examination
S.1 Maths Paper II
Page 5
19. Evaluate  [4  (
A.  4
5
6
1 1
 )] .
2 3
4
B.
1
6
C.
5
6
D.
3
5
6
+49
D.
9
1
3
3
20. Which of the following is NOT equal to 0?
A. 4 – 3  2 + 2
B. 4 – 3 – 2  2
C. (4 + 3)  (2 – 2)
D. (4 – 3)  (2 – 2)
2
 32
3
21. Evaluate  [
.
] (
)
0  (3)
2
(7) 2
A. 49
B.
+14
C.
22. When the numbers 0.3, 22.5%,
1
are arranged in descending order of magnitude,
4
the result is
1
.
4
B.
1
, 0.3.
4
D.
A. 0.3, 22.5%,
C. 22.5%,
23. Evaluate
A. 
4
5
1
, 0.3, 22.5%.
4
0.3,
1
, 22.5%.
4
(2)  (6)
.
(3)  (7)
B.

2
5
C.
1
D. +1
Queen’s College 07/08
Half-yearly examination
S.1 Maths Paper II
Page 6
24. Which of the following is the best estimate of 2018  7.96  5.03 ?
A. 300
B.
3000
C.
3200
D. 3500
3.8
D. 18.05
25. 5% of Y is 19, find the value of Y.
A. 380
B.
0.95
C.
26. In F.1, 7 students failed in a mathematics test, which is 2.8% of the studen ts in F.1.
Find the number of students in F.1.
A. 25
B.
250
C.
196
D. 20
27. If a number is decreased by 20% and then increased by 25%, what percentage is the
final value in compared with the original one?
A. 100%
B.
105%
C.
95%
D. 5%
28. The length of each side of a square is 20 cm. If the length of each side is increased by
5%, find the percentage increase in the area of the square.
1
4
A. 20 %
B.
1
5 %
4
C.
1
15 %
4
D.
1
10 %
4
29. A pair of shoes which is marked at $120 is sold at 25% off. Find the selling price.
A. $85
B.
$90
C.
$100
D. $110
30. In a cake shop, one can buy 7 cakes and get 1 extra cake for free.
Find the discount percent.
A. 10%
B.
7.5%
C.
12.5%
D. 20%
Queen’s College 07/08
Half-yearly examination
S.1 Maths Paper II
Page 7
31. A shop manager has bought 320 glasses at $2 112, in which 5% of them are broken. The
rest are sold at $9.2 each. What is the profit/loss?
A. Loss $640
B. Loss $684.8
C. Profit $684.8
D. Profit$1 964.8
32. According to the diagram, find the values of P and Q.
8 units
14 units
3
P
A. P = -9, Q = 5
Q
B.
P = 5, Q = 11
D. P = 5, Q = 9
C. P = -11, Q = 3
33. If m = 5, n = 2 and p = 20, find the value of (m + n) 2  p.
A. 39
B.
19
C.
6
D. 29
34. What is the simple interest on $1800 at 4% p.a. for 2 years?
A. $72
35.
B.
$144
represents an apple;
C.
$288
D. $1944
represents a pineapple.
Observe the diagram carefully, and find out the weight of an apple.
200 g
1 000 g
A. 160 g
B.
200 g
C.
240 g
D. 300 g
Queen’s College 07/08
Half-yearly examination
S.1 Maths Paper II
Page 8
36. In the following diagram, the length and
D rectangle ABCD are 2x cm
A the width of the
cm
and x cm respectively. The length of each side of the xsquare
PQRS is 6 cm. If the
C equal, find the value of x.
perimeters of the rectangle ABCD and the
PQRS are
B square
2x cm
D
A
S
P
x cm
B
Q
S
P
A. 6
6 cm
C
2x cm
B.
24
6 cm
C.
4
R
D. 18
Q
R
37. Given A  80 and B  100. Which of the following is true?
A.
B.
C.
D.
A is smaller than B by 25%.
A is greater than B by 25%.
B is smaller than A by 25%.
B is greater than A by 25%.
38. Mr. Chan paid $160 for 100 ball pens. If he sells them at $2 each,
what is the profit per cent?
A. 4%
B.
20%
C.
25%
D. 40%
39. A book marked at $M was sold at a discount of 20%. If the selling price of the book is
$120, then M 
A. 150.
B.
96.
C. 100.
D. 144.
40. An article is marked by an increase of 40% on the cost. It is then sold at a discount of
40%. On the whole,
A.
B.
C.
D.
there
there
there
there
is
is
is
is
no profit or loss.
a profit of 1.6%.
a profit of 16%.
a loss of 16%.
END OF PAPER.
Queen’s College 07/08
Half-yearly examination
S.1 Maths Paper II
Page 9
QUEEN’S COLLEGE
Half-yearly Examination, 2007-2008
Mathematics Paper II
Question
Number
A
B
C

1

2
3
D

Question
Number
A
21



24
5

25
7
9



31


32
13

33




34


35
16

36
17

37
18

38
19

39
20

30
12
15

29

14

28

10
11
27

8

26







40
Total
D

23


C
22
4
6
B
10
9
11
10