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Queen’s College 08/09
Half-yearly examination
S.1 Maths Paper II
Page 1
QUEEN’S COLLEGE
Half-yearly Examination, 2008-2009
Mathematics Paper II
Secondary 1
Date: 12th Jan, 2009.
Time: 10:30-11:30a.m.
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 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. Each question carries 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 08/09
Half-yearly examination
S.1 Maths Paper II
Page 2
[Multiple Choice questions]
1.
We can express 360 in index notation as
A.
B.
C.
D.
2.
2 2  32  5 .
52  3  2 .
32  2 3  5 .
33  5 2  2 .
35% of an hour is
A. 21 minutes
B. 20 minutes
C. 19 minutes
D. 16 minutes
3. What percentage of the figure is shaded?
A. 44%
B. 48%
C. 52%
D. 56%
4. Which of the following is NOT an equation?
A. 0.3a = 7
6a – 1 = 8
B.
5. When the numbers 0.45, 38%,
C.
3(4a + 1) = a
D. 11a + 3
2
are arranged in ascending order of magnitude, the
5
result is
A. 0.45, 38%,
B.
2
.
5
2
, 0.45, 38%.
5
C. 38%,
2
, 0.45.
5
D. 0.45,
2
, 38%.
5
6. Find the estimated value of the expression
1.11 + 2.22 + 3.33 + 4.44 + 5.55 + 6.66 + 7.77 + 8.88 + 9.99 using the Front-end method.
A.
45
B.
54
C.
50
D.
51
Queen’s College 08/09
Half-yearly examination
7.
8.
In which of the following equations is y NOT equal to 4?
A.
B.
C.
4y + 5 = 21
5y + 6 = 31
y+3=7
D.
y
3 5
2
Find the value of the constant term in the expression 3q + 5 – 4(2q + 9)?
A.
9.
S.1 Maths Paper II
Page 3
31
B.
41
C.
–31
D.
–36
If 67 545 is rounded down correct to the nearest hundred, the estimated value is
A.
67 520.
B.
67 600.
C.
67 000.
D.
67 500.
10. If the estimated value of 321 is taken as 300, which method cannot be used to produce this
estimation?
A. Rounding up
B. Rounding down
C. Front-end method
D. Rounding off to the nearest hundred
11. Find the value of a in the formula
A.
10
B.
20
C.
1 1 1
 
if b = 45 and c = 18.
2a b 2c
40
D.
80
12. When 7 is subtracted from the sum of 3x and 29, the result is less than 5.
The inequality that represents this fact is
13.
A.
7 – (3x + 29) < 5
B.
(3x – 29) + 7 < 5
C.
(29 – 3x) – 7 < 5
D.
(3x + 29) – 7 < 5
Which of the following statements is/are true?
(I) 7 > 6
A. (I)
(II) 11 < 13
B. (II)
C. (III)
(III) 14 < 
D. (I), (II) and (III)
Queen’s College 08/09
Half-yearly examination
14.
S.1 Maths Paper II
Page 4
Find the value of the following expression.
(2)  (3) 2
 (6)
A. 3
B. -3
C.
1
D.
-1
15. The most appropriate unit for measuring the height of a train is
A.
16.
km.
B.
m.
C.
cm.
D.
mm.
If 12% of 50 is equal to x% of 40, then x =
A. 0.15
B.
12
C.
14
D. 15
17. Find the value of p for which 3p – 2(6p – 7) = 3(p + 4) – 2.
A.
1
3
B.
1
4
C.
3
D.
4
2
25
1 1
18. Calculate the value of  (1 ) 2      ( ) .
5
18
2 9
A.
7
B.
7
C.
49
D.
49
19. (a – b ) c + d  e =
A.
20.
a  b

e
c  d 
C.
a b d

c
e
If a = 3 and b = -4, then b 2 – a 2 =
A. 7
21.
a b
cd  e
B.
B. 7
C.
13
D. 25
If 2(x  3)  3(x  1)  28, find the value of x.
A.
23
5
B.
26
5
C.
5
D. 3
D.
a b
d e
c
Queen’s College 08/09
Half-yearly examination
22.
S.1 Maths Paper II
Page 5
The sum of two numbers is 16. If one of the numbers is 2 more than the other,
find the smaller number.
A. 9
B.
8
C.
7
D. 6
23. In an examination, 144 out of 180 students pass.
What percentage of the students failed?
A.
20%
24. If m =
7
A.
B.
25%
C.
60%
D. 80%
1
3n
 9 , find the value of m when n =  .
2
2
1
4
B.
8
1
4
C.
9
3
4
D.
8
1
4
25. Which of the following pairs of terms are like terms?
A.
a
, ab
b
B. 2a , 2b
C.
ab 2 , a 2 b
D. ab 2 , 3ab 2
26. Which of the following must be true?
–7a 2 = 7(–a) 2
I.
II. (–b) 3 = –b 3
III. (–7c) 4 = 7c 4
A. I only
B.
II only
C.
I and II only
D. II and III only
27. An athelete starts at the basement B1, runs up to the 1 st floor, then runs down to the
basement B2 and finishes at the 2 nd floor. How many storeys does he run?
A. 3
28.
If
B.
5
C.
9
D. 6
x  3 2x  1

 7 , find the value of x.
2
3
A. 5
B.
7
C.
10
D.
13
Queen’s College 08/09
Half-yearly examination
S.1 Maths Paper II
Page 6
29. According to the diagram, find the values of E and F.
9 units
15 units
6
F
E
A. E = 3, F = 9
B.
E = 3, F = 12
C.
E = 3, F = 9
D. E = 3, F = 12
30. If F 
mv  mu
, find the value of m when F = 1 000, v = 400, u = 200 and t = 6.
t
A. 30
B.
35
C.
40
D.
31. The general term of a series is given by a n 
A.
35
B.
40
C.
44
45
3n  5
. Find the 75th term.
5
D.
50
32. 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 20 radios per day.
2
A. $350
33.
In a school,
B.
$900
C.
$1 070
D. $1 250
1
2
of students travel by bus,
of them travel by MTR and the rest of 400
5
5
students travel on foot. Find the number of students who travel by MTR.
A. 1 000
34.
B.
400
C.
600
D.
1 200
The marked price of a washing machine is $3 200 and it is sold at a discount of 5%,
find the selling price.
A. 3040
B.
3000
C.
2094
D.
3140
Queen’s College 08/09
Half-yearly examination
S.1 Maths Paper II
Page 7
35. Peter deposits $1 500 in a bank. The bank offers a simple interest 4% p.a.
What is the amount received by Peter after 18 months?
A.
$90
B. $1590
C.
$1608
D. $1560
36. If the general term of a sequence is n(n  2) , find the sum of the 5th term and the 10th term of
the sequence.
A.
15
B.
35
C.
37. Find the nth term of the sequence 2,
n2 1
A.
n
B.
2n  1
n
120
D.
155
D.
n2  2
n
5 10 17
,
,
,…
2
3
4
C.
n3
n
38. If the marked price of a watch is $300, the profit will be $180. If this watch is sold at a
discount of 30%, the profit is
A.
$54
B.
$84
C.
$90
D. $120
39. If A is 25% heavier than B, then B is lighter than A by
A.
20%
B.
25%
C.
50%
D. 75%
40. An article is marked by an increase of 30% on the cost. It is then sold at a discount of
30%. On the whole,
A. there is no profit or loss.
B. there is a profit of 9%.
C. there is a profit of 0.9%.
D. there is a loss of 9%.
END OF PAPER.
Queen’s College 08/09
Half-yearly examination
S.1 Maths Paper II
Page 8
QUEEN’S COLLEGE
Half-yearly Examination, 2008-2009
Mathematics Paper II
Question
Number
A
B
√
√
3
√
√
5
√
22
√
√
√
√
√
30
11
√
31
√
12
√
13
34
15
√
35
√
√
√
√
√
√
37
18
√
38
√
√
√
√
36
17
√
√
33
√
19
√
32
14
16
√
29
10
20
√
24
28
√
39
√
√
√
√
40
Total
D
√
27
9
C
√
26
8
B
25
√
7
A
21
23
4
6
D
√
1
2
C
Question
Number
11
10
9
10