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Queen’s College
Secondary 1
Half-yearly Examination, 2011-2012
Mathematics Paper II
Date: 12-1-2012
Time:10:30 a.m. – 11:30 a.m.
1.
2.
Write down the information required in the spaces provided in the Answer Sheet.
When told to open this question paper, check that all the questions are there.
3.
Look for the words ‘END OF PAPER ’ after the last question.
ANSWER ALL QUESTIONS. All answers should be marked on the Answer
Sheet.
4.
5.
6.
7.
Note that you may mark only ONE answer to each question. Two or more
answers will score NO MARKS.
All questions carry equal marks. No marks will be deducted for wrong answers.
The diagrams in this paper are not necessarily drawn to scale.
Calculator is not allowed in this paper.
1
This is a blank page.
You may use this page for rough work.
2
1. A prime number is only divisible by
A.
B.
C.
D.
1
2
itself
both 1 and itself
2. Which of the following numbers has
the greatest value?
A.
53
B.
C.
35
53
5
3
D.
3.
5. Which of the following is NOT a factor
of 84?
A.
B.
C.
D.
1
12
14
22
6. Which of the following expressions
gives the greatest value?
A.
B.
C.
D.
 2   2  2
 2   2  2
 2  2   2
 2   2   2
 p  9  p  p  5  4  1 q 
A.
9p  5
4q
B.
14 p 3
4q
C.
9 p3  5
3q
D.
14 p 3
3q
3
4. [( 3)  (7)]  [( 1)  (9)] 
A. 
1
2
B. 
1
2
C. 
2
5
D. 
2
5
7. Which of the following numbers has
smallest opposite number?
A.
B.
C.
D.
+0.5
–2
0
+4
8. The depth of water of a reservoir was 150
m in June. After heavy rain in July and
August, the depth of water of the
reservoir was increased by 15 m. The
depth of water was then decreased by 4 m
in September. What is the total change in
the depth of water?
A.
B.
C.
D.
+11 m
+19 m
+161 m
+169 m
3
9. Which of the following is correct ?
A.
B.
C.
D.
 8   10   5  23
 6   7   2  15
 12   9   2  6
 10   20   3  13
10. If the sum of two numbers is negative
and their product is also negative,
which of the following descriptions
must be true ?
A.
B.
C.
D.
The numbers are both positive.
The numbers are both negative.
One is negative. The other is
positive which is nearer from 0
than the negative one.
One is positive. The other is
negative which is nearer from 0
than the positive one.
11. Which of the following is a pair of
unlike terms?
6
a
I.
6a,
II.
b b
,
2 3
III.
c 2 c3
,
2
3
A.
B.
C.
D.
III only
I and II only
I and III only
I, II and III
12. Calculate the value of
 3  1  5   1 3 
 5    3   8     2  4 
  

 
A.

19
24
B.

1
8
C.
1
8
D.
13
24
13. M is the smallest number among three
consecutive even integers. Find the
sum of these three numbers.
A.
B.
C.
M+2
3M
3M + 3
D.
3M + 6
14. Simplify 3x  y  6   2x  5
A.
B.
C.
D.
x  y  11
x  y 1
5 x  y  11
5x  y  1
15. Solve the equation 7k – 8 = 16 – k.
A.
B.
C.
D.
3
4
5
6
4
16. Solve the equation
50 – 2(5k + 4) = – 4(3k – 7).
A.
B.
C.
D.
–14
–7
7
14
17. Write the statement “Five times the
sum of x and 3 is equal to the quotient
when the square of x is divided by 6”
by using symbols.
x2
6
A.
5x  3 
B.
5x  3 
C.
x2
6
5x  3  6 x 2
D.
5x  3 
x
6
18. Amy has $P and May has half her
amount. If they together have $450,
find P.
A.
B.
C.
D.
150
200
250
300
19. If a4x  5  3ax  b , then x =
A.
5  3b
B.
5a  3b
a
C.
5a  3b
7a
D.
3b  5a
a
20. Which the following terms is different
from the other?
A.
B.
C.
20%  30%
20 30%
0.2  0.3
D.
2 3

10 10
21. Linda’s height is 148 cm, which is 80%
of his brother’s height. What is the
height of her brother?
A.
B.
C.
D.
81.4 cm
118.4 cm
185 cm
266.4 cm
22. A bakery sold 320 tarts yesterday. If the
number of tarts sold today is 576, find
the percentage increase in the number
of tarts sold.
A.
20%
B.
4
44 %
9
C.
D.
80%
256%
23. Mary has 60 candies and she has eaten
30% of them. How many candies are
left?
A.
B.
C.
D.
18
20
36
42
5
24. Arrange the numbers
4
, 57% and
7
0.572 in descending order of
magnitude.
4
7
A.
0.572, 57%,
B.
57%,
4
, 0.572
7
C.
0.572,
4
, 57%
7
D.
57%, 0.572,
4
7
25. A storekeeper bought 75 newspapers
for $288. He sold 50 of them at $5 each
and $2 each for the remaining
newspapers. Which of the following is
true ?
A.
He makes a profit of $32.
B.
1
He makes a profit of 4 % .
6
C.
D.
He makes a loss of $12.
There is no profit nor loss.
26. In the figure, what percentage of the
square’s perimeter is the circle’s
perimeter.
27. A mobile phone is sold at a profit rate
25%. The profit is $400. What is the
selling price?
A.
B.
C.
D.
$720
$900
$1600
$2000
28. Mary deposits $15 000 in a bank at an
interest rate of 2.5% p.a. Find the
simple interest she received after 3
years.
A.
B.
C.
D.
$1 125
$2 000
$3 750
$6 000
29. 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 is no profit or loss.
there is a profit of 16%.
there is a loss of 16%.
there is a loss of 1.6%
30. In the sequence 
1 1
1
, ,  , … , the
8
2 4
6th term is
A.
B.
C.
D.
%
25%
50%
75%
A.
1
32
B.

C.
1
64
D.

1
32
1
64
6
a 3  2b 3
, find
a
the value of S when a = 2, b=1.
31. Given the formula S 
A.
B.
C.
D.
5
6
8
10
32. The general term of sequence
0, –3, –6, –9, –12, … is
A.
B.
C.
D.
–3n
–3n + 3
–3n – 3
3n – 3
33. Formulate an inequality to represent the
statement: the result of subtracting 4
from the product of 5 times x is not
greater than 24.
A.
B.
C.
D.
5x  4  24
4  5x  24
5x  4  24
4  5x  24
34. 60 304
60 000
Which of the following methods
allow(s) you to obtain the above
approximate value?
I.
II.
III.
A.
B.
C.
D.
Rounding off
Rounding up
Front-end method
I only
II only
III only
I and III only
35. In the figure, the 1st pattern consists of
3 dots. For any positive integer n, the
(n + 1)th pattern is formed by adding (n
+ 1) dots to the nth pattern. Find the
number of dots in the 7th pattern.
A.
30
B.
C.
D.
32
36
38
36. Estimate 2 405  6.97  4.02.
A.
B.
C.
D.
1 600
3 000
3 600
4 200
37. Which of the following estimated
values is unreasonable?
A.
B.
C.
D.
49 + 52 + 51 + 47 + 250  450
0.13 + 2.98 + 5.22 + 13.1  23
34.83  0.195  7
64.03  8.93  6.87  81
38. Using the compensation strategy, the
estimated value of the expression
2.16 + a + 0.78 + 0.99 + 2.27 + 6.83 is
14. The best approximate value of a is
A.
B.
C.
D.
0
1
2
3
7
39. By choosing a suitable cluster, the
expression 32 + 31 + 31 + 29 + 75 + 72
40. In the figure, how many obtuse-angled
triangles are there ?
+ 69 + 68 can be estimated as which of
the following expressions?
I.
II.
III.
30  4 + 70  4
70  8
50  4
A.
B.
I only
I and II only
A.
B.
2
3
C.
D.
II and III only
I and III only
C.
D.
4
5
END OF PAPER
8
Half-yearly Examination, 2011-2012
Mathematics Paper II
Secondary 1
Date: 12-1-2012
Answers:
1
D
11
C
21
C
31
A
2
B
12
A
22
C
32
B
3
A
13
D
23
D
33
A
4
C
14
C
24
C
34
D
5
D
15
A
25
B
35
A
6
D
16
B
26
B
36
D
7
D
17
B
27
D
37
B
8
A
18
D
28
A
38
B
9
D
19
B
29
C
39
A
10
C
20
B
30
C
40
C
9