New Horizon Senior Mathematics 5 (Compulsory Part) Mock Exam 1 Paper 2
There are 30 questions in Section A and 15 questions in Section B.
The diagrams in this paper are not necessarily drawn to scale.
Choose the best answer for each question.
Section A
HKDSE 2012 Q1
1.
A.
B.
C.
D.
8x.
8x8.
16x8.
16x22.
Answer: C
HKCEE 2010 Q4
2.
qr + p2 – pq – pr =
A. (p – q)(q + r).
B. (p – r)(q + r).
C. (p – q)(p – r).
D. (p – q)(r – p).
Answer: C
HKDSE Sample Paper Q7
3.
Let k be a constant. If the equation kx2 + 6x + 1 = 0 has no real roots, then the
range of values of k is
A. k > 9.
B. k  9.
C. k > 10.
D. k  10.
Answer: A
4.
It is given that half of the product of two consecutive even numbers is equal to
28. Let x be the larger number. Which of the following equations can be used to
find x?
A. x2  2x  56 = 0
B. x2 + 2x  56 = 0
C. x2  x  56 = 0
D. x2 + 2x  28 = 0
Answer: A
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New Horizon Senior Mathematics 5 (Compulsory Part) Mock Exam 1 Paper 2
5.
If
, solve
A.
B.
C.
D.
.
x=1
x = 1 or 2
x = 0 or 3
x = 1 or 4
Answer: D
HKDSE Practice Paper Q9
6.
The solution of 5x < 3x – 4 or 1 – 2x > x + 10 is
A. x > –2.
B. x < –2.
C. x < –3.
D. x < –3 or x > –2.
Answer: B
HKDSE 2014 Q6
7.
If p > q > 0 and k < 0, which of the following must NOT be true?
I. 3p + k < 3q + k
II. kp + 2 < kq + 2
III.
A.
B.
C.
D.
I only
II only
I and III only
I, II and III
Answer: C
8.
If x  2 is a factor of
A. 6.
B. 7.
C. 8.
D. 9.
, then 12b  8a  9 =
Answer: B
HKCEE 1995 Q7
9.
If
, then x =
A.
B.
C.
D.
3.
4.
6.
8.
Answer: C
10. If (x + 1) is an odd number, which of the following is also an odd number?
A. 2(x + 1)
B. (x + 1)(x + 2)
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New Horizon Senior Mathematics 5 (Compulsory Part) Mock Exam 1 Paper 2
C.
D.
(x – 1)2
x2
Answer: C
HKDSE 2013 Q11
11. Edward deposits $23 000 in a bank at an interest rate of 2% p.a. for 3 years,
compounded quarterly. Find the interest correct to the nearest dollar.
A. $1408
B. $1409
C. $1418
D. $1419
Answer: D
HKCEE 2008 Q17
12. 0.005 769 84 =
A. 0.0058 (correct to 3 significant figures).
B. 0.005 80 (correct to 4 decimal places).
C. 0.005 770 (correct to 5 significant figures).
D. 0.005 770 (correct to 6 decimal places).
Answer: D
HKCEE 2010 Q15
13. A mixture of 6 kg coffee of brand X and 4 kg coffee of brand Y costs $57/kg. If
coffee of brand X costs $45/kg, then coffee of brand Y costs
A. $60/kg.
B. $65/kg.
C. $70/kg.
D. $75/kg.
Answer: D
14. Suppose P varies jointly as x and y. If x increases by 35% and y decreases by
30%, then P will
A. increase by 5%.
B. increase by 5.5%.
C. decrease by 5%.
D. decrease by 5.5%.
Answer: D
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New Horizon Senior Mathematics 5 (Compulsory Part) Mock Exam 1 Paper 2
HKCEE 2011 Q9
15. In the figure, the 1st pattern consists of 6 dots. For any positive integer n, the
(n + 1)th pattern is formed by adding 4 dots to the nth pattern. Find the number
of dots in the 7th pattern.
…
A.
B.
C.
D.
22
26
30
34
Answer: C
16. The figure shows a solid right prism. Its bases are isosceles trapeziums. The total
surface area of the prism is
A. 206 cm2.
B. 256 cm2.
C. 344 cm2.
D. 478 cm2.
Answer: C
17. In the figure, AB // ED, then
A. x + y – z = 180.
B. x + y – z = 360.
C. y + z – x = 360.
D. x = y – z.
Answer: B
HKCEE 2007 Q18
18. If 8 identical solid right circular cones of height h and radius r are melted and
recast into 3 identical solid hemispheres of radius r, then h : r =
A. 2 : 3.
B. 3 : 2.
C. 3 : 4.
D. 4 : 3.
Answer: C
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New Horizon Senior Mathematics 5 (Compulsory Part) Mock Exam 1 Paper 2
19. In the figure, the compass bearing of B from A is S45E and that of A from C is
N30E. If AC  BC, then the true bearing of C from B is
A. 210.
B. 225.
C. 240.
D. 255.
Answer: C
20. If 90  x  y  180, which of the following is/are true?
I.
II.
III.
A. I only
B. II only
C. III only
D. I, II and III
Answer: B
21. In the figure, two circles intersect at P and Q. APB and AQC are straight lines.
Which of the following must be true?
A. y = z
B. x + y + z = 90
C. x + y + z = 180
D. x + y + 2z = 180
Answer: C
22. In the figure,
:
A. 40.
B. 60.
C. 80.
D. 100.
:
= 2 : 2 : 3. If
ABD = 60, then x =
Answer: C
23. The figure shows the cyclic quadrilateral ABCD. BAD = 115 and BC = BD.
Find DBC.
A. 50
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New Horizon Senior Mathematics 5 (Compulsory Part) Mock Exam 1 Paper 2
B.
C.
D.
55
60
65
Answer: A
HKCEE 2011 Q25
24.
O
If the above plane figure is rotated clockwise about the point O through 270,
which of the following is its image?
A.
B.
O
O
C.
D.
O
O
Answer: A
25. The x-intercept of a straight line L is twice its y-intercept. If L passes through
(6, 2), then the equation of L is
A. x + 2y = 6.
B. x + 2y = 10.
C. x – 2y = 6.
D. x – 2y = 10.
Answer: B
HKDSE 2014 Q25
26. In the figure, the two straight lines intersect at a point on the positive x-axis.
Which of the following are true?
y
I. b > 0
ax + by = 1
cx + dy = 1
II. d < b
III. a = c
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O
x
New Horizon Senior Mathematics 5 (Compulsory Part) Mock Exam 1 Paper 2
A.
B.
C.
D.
I and II only
I and III only
II and III only
I, II and III
Answer: D
HKDSE Practice Paper Q25
27. If the point (–3, –2) is reflected about the straight line x = –6, then the
coordinates of its image are
A. (–3, –10).
B. (–3, –14).
C. (–9, –2).
D. (–15, –2).
Answer: C
HKCEE 2007 Q54
28. One letter is chosen randomly from each of the two words ‘ROAD’ and ‘COLD’.
Find the probability that only one of the two letters chosen is a vowel.
A.
B.
C.
D.
Answer: A
HKCEE 2007 Q34
29. If the mode of the seven numbers 5, 8, 3, 8, a, b and c is 5, then the median of the
seven numbers is
A. 3.
B. 5.
C. 7.
D. 8.
Answer: B
HKCEE 2004 Q35
30. The pie chart shows the distribution of the weights (in kg) of some students. If
of the
weights
of some students
the number of students who weigh 60 kg –Distribution
69 kg is 32,
then
the number
of
students who weigh 30 kg – 49 kg is
A. 72.
40 kg – 49 kg
B. 88.
30 kg –
39 kg
C. 112.
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50 kg 36°
– 59 kg
72°
60 kg – 69 kg
70 kg – 79 kg
New Horizon Senior Mathematics 5 (Compulsory Part) Mock Exam 1 Paper 2
D.
160.
Answer: A
Section B
HKDSE 2014 Q31
31. Find the L.C.M. of
A.
B.
C.
D.
and
.
Answer: C
32. If 2(log4 x)2 + log4 x = 6, then x =
A. 8.
B.
or 16.
C.
1 or 2.
D.
8 or
.
Answer: D
33. In ABC, a  7.3, b  12 and A  35. How many different triangles can be
constructed with the given data?
A. 0
B. 1
C. 2
D. Cannot be determined
Answer: C
HKDSE 2012 Q33
34. D00B00000C9416 =
A. 13  1611 + 11  168 + 3220.
B. 13  1612 + 11  169 + 51520.
C. 14  1611 + 12  168 + 3476.
D. 14  1612 + 12  163 + 55616.
Answer: A
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New Horizon Senior Mathematics 5 (Compulsory Part) Mock Exam 1 Paper 2
HKDSE Sample Paper Q34
35. If k is a real number, then the imaginary part of
A.
B.
C.
D.
is
–9.
k.
–k.
5k.
Answer: B
36. Suppose (1, 5) is a solution of the simultaneous equations
Find the other solution.
A. (2, 1)
B. (2, 1)
C. (1, 2)
D. (1, 2)
.
Answer: A
HKCEE 2010 Q43
37. If a, 8, b are the first 3 terms of an arithmetic sequence and a, 3, b are the first 3
terms of a geometric sequence, then (a – b)2 =
A. 220.
B. 230.
C. 238.
D. 256.
Answer: A
38. Consider the graph of
. After a single transformation, the graph
becomes
. Describe the transformation.
A. Translate to the left by 1 unit.
B. Translate to the right by 1 unit.
C. Translate to the left by 2 units.
D. Translate to the right by 2 units.
Answer: A
39. In the figure, ABC is an acute-angled triangle. If
, find AC.
A.
B.
C.
D.
Answer: A
40. Which of the following are NOT geometric sequences?
I. 8, 88, 888, 8888, …
II.
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New Horizon Senior Mathematics 5 (Compulsory Part) Mock Exam 1 Paper 2
III.
A.
B.
C.
D.
I and II only
I and III only
II and III only
I, II and III
Answer: D
41. In the figure, TA and TC are tangents to the circle at A and B respectively. AC
cuts the circle at D. It is given that ATB = 40 and ACB = 32. Find DBC.
A. 32
B. 38
C. 40
D. 42
Answer: B
42. In the figure, O is the centre of the circle BCD. AC is a tangent to the circle at C.
ADB and BOC are straight lines. It is given that AO = 13 cm, AC = 12 cm and
BD = 6 cm. Find CD.
A. 6 cm
B. 6.2 cm
C. 8 cm
D. 8.2 cm
Answer: C
43. A bag contains 5 different red balls and 10 different blue balls. If 4 balls are
drawn at random, then the probability of getting all balls of the same colour is
A.
.
B.
.
C.
D.
.
.
Answer: D
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New Horizon Senior Mathematics 5 (Compulsory Part) Mock Exam 1 Paper 2
44. Two summer courses, Mathematics and Physics, are held in the school. The
probability that Ada will attend Mathematics course is 0.3 and the probability
that she will attend Physics course is 0.6. The events that Ada attends
Mathematics course and Physics course are independent. It is given that Ada
attends at least one course. Find the probability that she attends Mathematics
course.
A.
B.
C
D.
Answer: A
45. Consider five numbers: a, b, c, d, e. If the mean and the median of the five
numbers are 18 and 15 respectively, find the mean and the median of 2a, 2b, 2c,
2d, 2e.
A. Mean = 18 and median = 15
B. Mean = 15 and median = 18
C. Mean = 36 and median = 30
D. Cannot be determined
Answer: C
END OF PAPER
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