Mock 2 Exam with Sol 16-17 - Tak Sun Secondary School ...personal.tsss.edu.hk/roh/F3/Mock 2 Exam...
Transcript of Mock 2 Exam with Sol 16-17 - Tak Sun Secondary School ...personal.tsss.edu.hk/roh/F3/Mock 2 Exam...
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 1 ]
Section A Multiple Choice:
Mark your answers in the M.C. answer sheet.
1. Simplify 8
40.
A. 1
5.
B. 5
5.
C. 5 .
D. 5.
2. Factorize 8a3 27b3 .
A. 2a3b 4a2 6ab 9b2 .
B. 2a3b 4a2 6ab 9b2 .
C. 2a3b 4a2 6ab 9b2 .
D. 2a3b 4a2 6ab 9b2 . 3. 100010001012 =
A. 526 210 .
B. 5 27 211.
C. 10 26 210 .
D. 10 27 211 .
4. In the figure, ABCD is a trapezium. Which of the following must be true?
I. AED is an equilateral triangle
II. EBCD is a parallelogram
III. AB = 2 DC
A. I only
B. II only
C. I and II only
D. I and III only
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5. The point of intersection of the three altitudes of a triangle is called the
A. centroid.
B. circumcentre.
C. incentre.
D. orthocentre.
6. In the figure, the solid consists of a cylinder and a right circular cone with a
common base which is a circle of radius 3 cm. The height of the cylinder is 10
cm and the slant height of the cone is 5 cm. Find the total surface area of the
solid.
A. 74 cm2
B. 84 cm2
C. 94 cm2
D. 104 cm2
7. The figure shows a frustum of a right circular cone. The radii of the upper face and the base are 1 cm
and 2 cm respectively. If the height is 3 cm, find the volume.
A. 15
2 cm3 .
B. 9
2 cm3 .
C. 7 cm3.
D. 11
2 cm3.
8. The figure shows a right prism ABCDEF with a right-angled triangle as the cross-section. The angle
between BD and the plane CDEF is
A. BDE .
B. BDF .
C. DBF .
D. DBE .
9. Refer to the figure. The whole circle bearing of B from A is 230. Find the whole circle bearing of A from B.
A. 220. B. 230. C. 040. D. 050.
N
N
A
B
230
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10. Which of the solids has the following orthographic projections?
Front Left Top
A. B.
C. D.
11. The diagram shows part of a contour map drawn to the scale of 1 : 10000. If AB equals to 3 cm in
the map, what is the gradient of the road AB?
A. 1
2.
B. 1
5.
C. 1
3.
D. cannot be determined.
12. In the figure, ABCD is a rectangle. Find CF.
A. ab sin cm .
B. ab cos cm .
C. asin bcos cm .
D. acos bsin cm.
A
B
700 m
750 m
800 m
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 4 ]
13. In the figure, PQRS is a parallelogram. Which of the following is true?
A. The length of QR is 117 .
B. The length of RS is15.
C. The slope of QR is11
2.
D. The slope of RS is13
2.
14. The points A(4 , -1), B(-2 , 3) and C(x , 5) lie on a straight line. Find x.
A. 5.
B. 4.
C. 0 .
D. 2 .
15. If the price of a movie ticket is increased from $60 to $75, then the percentage increase is
A. 20%.
B. 25%.
C. 80%.
D. 125%.
16. Find the interest on $1 000 for 2 years at 20% p.a., compounded half-yearly.
A. $2073.6.
B. $1440.
C. $1464.1.
D. $1210.
17. A fair coin is tossed four times. The probability of getting at least two heads is
A. 1
4.
B. 1
16.
C. 11
16.
D. 1
2.
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 5 ]
18. What is the probability that the first day of a month is Sunday?
A. 2
15.
B. 4
31.
C. 2
15.
D. 1
7.
19. Given that a ≥ b and b > 0, which of the following(s) is/are incorrect?
I. ab ≥ 0
II. –a ≥ −b
III. a2 b2
A. II only
B. III only
C. I and III
D. II and III
20. The numbers of bedrooms in the families of 80 students are listed below.
Number of bedrooms 1 2 3 4
Frequency 8 34 28 10
Find the mean of the numbers of bedrooms.
A. 2
B. 2.4
C. 2.5
D. 3
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21. If a and b are non-zero numbers, then 172
30223
)(
)()(
ba
aba =
A. 3
8
b
a.
B. 3
11
b
a.
C. 3
8
b
a .
D. 3
11
b
a .
22. Factorize 2a2 + 5ab – 3b2.
A. (a – b)(2a – 3b)
B. (a + b)(2a – 3b)
C. (a + 3b)(2a – b)
D. (a – 3b)(2a + b)
23. In the figure, PQRS is a trapezium. Find x.
A. 6°
B. 9°
C. 12°
D. 15°
24. The base diameter and height of a right circular cone are 10 cm and 12 cm
respectively. Find the curved surface area of this cone.
A. 65 cm2
B. 78 cm2
C. 83 cm2
D. 156 cm2
15x
5x
P
Q
R
S
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 7 ]
25. Which of the following is the front view of the given object?
A.
B.
26. According to the following front, top and side views of a solid, choose the
corresponding 3-D object.
front top side
A. C.
B. D.
side front
top
side front
top
front
top
side
front
top
side side front
top
C.
D.
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 8 ]
27. Refer to the figure. The whole circle bearing of B from A is 230. Find the reduced bearing of A from B.
A. S40W
B. S50W
C. N40E
D. N50E
28. The figure shows a part of a contour map. Suppose the gradient of the straight path AB is 1 : 8.
Find the horizontal distance between A and B.
A. 400 m
B. 600 m
C. 760 m
D. 800 m
29. From a point R on the ground, the angle of elevation of the top P of a flagpole is 50. If PQ = 44 m
and O is the mid-point of PQ, find the angle of elevation of O from R correct to the nearest degree.
A. 29 B. 30 C. 31 D. 32
30. Given two points P(–7, –4) and Q(1, 2) and a line L that is parallel to PQ, find the slope of L.
A. 3
1
B. 4
3
C. 3
4
D. 3
4
N
N
A
B
230
A
B
700 m
750 m
800 m
P
Q R
50
44 m O
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31. Which of the following represents the solutions of x ≤ –1?
A.
B.
C.
D.
32. If a > b and c < 0, which of the following must be correct?
I. a – c > b – c
II. a2c < b2c
III. c
b
c
a
A. I only
B. III only
C. I and III only
D. I, II and III
33. Find the greatest integer satisfying the inequality 10 – 3(x + 2) > x – 4.
A. –2
B. 1
C. 2
D. 3
0 –1
0 –1
0 –1
0 –1
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34. The figure shows two similar solids. Find the value of V.
A. 180
B. 237
C. 250
D. 490
35. A letter is chosen randomly from the word ‘CHALLENGE’. Find the probability that a vowel is
chosen.
A. 9
1
B. 9
2
C. 3
1
D. 3
2
36. $20 000 is deposited in a bank and interest is compounded half-yearly. If the amount received after
one year is $20 402, find the interest rate per annum.
A. 1%
B. 1.05%
C. 2%
D. 2.1%
37. In a certain year, the rateable value of a shop is $250 000. If the rates percentage charge is 5% each
year, find the quarterly rates of the shop.
A. $1 250
B. $3 125
C. $6 250
D. $12 500
14 cm 10 cm
Volume = 686 cm3 Volume = V cm3
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38. 2 students are randomly chosen from 2 male students and 2 female students. Find the probability of
choosing 1 male student and 1 female student.
A. 3
1
B. 2
1
C. 3
2
D. 6
5
39. The figure below shows a circular target of diameter 20 cm. The bullseye is a square of sides 5 cm.
Carmen throws a dart randomly and hits the target. Find the probability that the dart hits the
bullseye.
A. 16π
1
B. 4π
1
C. 4π
5
D. 2π
5
40. One letter is selected from each of the names "LEO" and "KEN" at random. Find the probability that
the two letters are the same.
A. 9
1
B. 3
1
C. 9
4
D. 3
2
20 cm
5 cm
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 12 ]
41. If the mean of the ten numbers 7, 5, 5, 5, 6, 3, 7, 8, 8, x is 6, find the median of the ten numbers.
A. 4.5
B. 5
C. 5.5
D. 6
42. The table below shows the number of visits that 50 students went to Merry Theme Park last year.
Number of visits 0–2 3–5 6–8 9–11
Frequency 25 13 9 3
Find the mean number of visits that these 50 students went to Merry Theme Park last year.
A. 1
B. 3
C. 3.4
D. 12.5
43. Find the volume of the frustum in the figure.
A. 632 cm3
B. 3cmπ3
635
C. 3cmπ3
632
D. 3cmπ3
338
44. Find x and y in the figure.
A. x = 30°, y = 1
B. x = 30°, y = 2
C. x = 40°, y = 2
D. x = 40°, y = 4
6 cm
8 cm
7 cm
3 cm
A
D E
B C
M
N
x
40°
110°
3y cm
6 cm
A
M
B C
N
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45. Which of the following is not a rational number?
A 121
B .3
.1.0
C 7
1
D 2
46. Which of the following is/are parallelogram(s)?
(1) A rectangle
(2) A square
(3) A rhombus
A (1) and (2) only
B (1) and (3) only
C (2) and (3) only
D All of the above
47.
In the figure, x
A 2
B 3
C 4
D 5
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48.
Refer to the figure. Which of the following is/are true?
(1) ADEABE
(2) ADCABC
(3) DCEBCE
A (3) only
B (1) and (2) only
C (1) and (3) only
D All of the above
49.
The figure shows the cube ABCDEFGH of volume 3cm36 . The volume of the pyramid ACDH is
A 3cm6
B 3cm12
C 3cm18
D 3cm24
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 15 ]
50.
(right prism) (cube) (regular tetrahedron)
(1) (2) (3)
(right prism) (right prism)
(4) (5)
In which of the above solids is the shaded region a plane of reflection?
A (2), (3) and (5) only
B (1), (2), (3) and (5) only
C (1), (2), (4) and (5) only
D All of the above
51.
Which of the following nets can be folded into the above triangular prism?
(1) (2)
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 16 ]
(3) (4)
A (1) and (2) only
B (3) and (4) only
C (1), (2) and (3) only
D All of the above
52.
The above solid is formed by cutting a corner from a cube. Which of the following must be true?
A V > E > F
B V > F > E
C E > V > F
D F > V > E
(V - Number of vertices, E - Number of edges, F - Number of faces)
53. The mid-point of the line segment joining )4,1(A and ),( yxB is )3,3(M . Find x and y.
A )2
7,2(
B )2
5,2(
C )2,5(
D )2,5(
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 17 ]
54. If the distance between )3,( aP and )9,4(Q is 15 and 0a , a =
A 2
B 3
C 4
D 5
55. The following shows some 2-D representations of a solid that is made from identical cubes.
Top view Front view Side view
Which of the following satisfy the above 2-D representations?
(1) (2)
(3) (4)
A (1) only
B (1) and (2) only
C (2), (3) and (4) only
D All of the above
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 18 ]
56. Find the value of k if the line joining the points (7,9) and (k ,3) is perpendicular to a line with
slope 3
4.
A 3
4
B 4
3
C 15
1
D 15
57. A road has a gradient of 1 in 10. Find the angle of inclination.
A 71.5
B 74.5
C 13.7
D 00.9
58. From the top of a lighthouse of m20 high, the angle of depression of a boat is 35 . How far is the
boat away from the base of the lighthouse, which is at sea-level?
A m35tan
20
B m35sin
20
C m35tan20
D m35sin20
59. The rateable value of a flat is $64 000 and rates are charged at 5.5% per year. The quarterly payment
for rates is
A $880
B $1 760
C $2 640
D $3 520
60. What is the compound interest for the third year on a deposit of $20 000 at 10% p.a., compounded
yearly?
A $2 000
B $2 200
C $2 400
D $2 420
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 19 ]
61. The number of bacteria in a forest grows 8% per day. After two days, the number of bacteria
becomes 2916. What is the original number of bacteria?
A 2468
B 2482
C 2500
D 2700
62. If x < 0, which of the following must be correct?
(1) 3x 2x
(2). x2 x
(3). 4 7x
A (1) only
B (2) only
C (1) and (3) only
D (2) and (3) only
63. The sum of two numbers is 30 and their difference is no less than 8.
Find the maximum value of the smaller number.
A 19
B 11
C 9
D 8
64. Which of the following cannot be the probability of the happening of an event?
A 2
1
B 0.888
C 2
D 3
4
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65. A bag contains 2 red, 3 white and 5 black balls. One ball is randomly drawn from the bag at random,
find the probability that it is not white.
A 10
7
B 5
3
C 2
1
D 10
3
66. An unfair die is thrown 300 times and the result is as shown:
Outcome 1 2 3 4 5 6
Frequency 30 50 70 50 80 20
If it is thrown once, find the probability that the number is prime.
A 2
1
B 3
2
C 15
11
D 30
23
67. A group of y numbers has mean x. If the numbers 3 and 5 are removed from the group, the mean of
the remaining )2( y numbers remains unchanged. Find x.
A 2
B 3
C 4
D 5
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 21 ]
68. If the median of 5 different integers 4, 12, 5, x, 9 is x, which of the following is/are the possible(s)
value of x?
(1) 3
(2) 6
(3) 9
A (1) only
B (2) only
C (1) and (2) only
D (2) and (3) only
69. Solve 2(4 – 5x) 8x.
A. 9
4x
B. 9
4x
C. 9
4x
D. 9
4x
70. The table below shows the salaries tax rate:
Net chargeable income Tax rate
On the first $40 000 2%
On the next $40 000 7%
On the next $40 000 12%
Remainder 17%
The net chargeable income of Miss Cheung is $180 000.
How much salaries tax should she pay?
A. $17 100
B. $18 600
C. $22 400
D. $30 600
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 22 ]
71. Which of the following may NOT be a parallelogram?
A. B.
C. D.
72.. Which of the following solids corresponds to the given orthographic views?
A.
B.
C.
D.
73. It is given that the arithmetic mean, the median and the mode of a set of data are 36, 32 and 40
respectively. If each data is divided by 2, find the new arithmetic mean, median and mode.
Arithmetic mean Median Mode
A. 18 16 20
B. 34 30 38
C. 38 34 42
D. 72 64 80
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 23 ]
74.. Which of the following can be a formula for volume (V), where a, b and c are linear measurements?
A. acaV 24 B. 2bV
C. 22
3ca
bV
D. )( dcabV
75. It is given that the slope of L1 is 3
1 and AB L1, where the coordinates of A and B are
(1, 0) and (0, n) respectively. Find the value of n.
A. 3
B. –3
C. 3
1
D. 3
1
76.. The figure shows a cylinder, a sphere and a right circular cone. Find the ratio of their volumes.
A. 3 : 4 : 6
B. 4 : 3 : 2
C. 4 : 3 : 6
D. 3 : 4 : 2
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 24 ]
77. The figure shows a dartboard consisting of 12 squares of equal area, six of which are marked with
numbers. Emily throws a dart randomly and hits the dartboard. What is the probability that the dart
hits an even number?
A. 2
1
B. 3
2
C. 3
1
D. 4
1
78. Suppose letters E, F and V represent the number of edges, faces and vertices of a polyhedron
respectively. Which of the following must NOT give a polyhedron?
A. E = 36, F = 20, V = 18.
B. E = 44 F = 26, V = 20.
C. E = 18, F = 38, V = 22.
D. E = 56, F = 32, V = 26.
79. Find the median of 16, 29, 8, 9, 26 and 26.
A. 16
B. 19
C. 21
D. 26
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 25 ]
80. A TV camera is photographing May. Find the angle of depression between the camera and the
horizontal.
A. 64.53
B. 35.47
C. 64.43
D. 35.57
81. Find x and y in the figure.
A. x = 30°, y = 1
B. x = 30°, y = 2
C. x = 40°, y = 2
D. x = 40°, y = 4
82. In the figure, the true bearing of B from A is 230. Find the compass bearing of A from B.
A. S40W
B. S50W
C. N40E
D. N50E
x
40°
110°
3y cm
6 cm
A
M
B C
N
N
N
A
B
230
May
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 26 ]
83. The figure shows a pyramid VABCD with a rectangular base ABCD. VA is perpendicular to the plane
ABCD. Find the angle between VC and the plane VAB.
A. AVC
B. BAC
C. CVB
D. VBA
84.. In the figure, ABCD and PQRS are two similar quadrilaterals. If the ratio of the area of ABCD to that
of PQRS is 49 : 25, find CD.
A. 4.43 cm
B. 9 cm
C. 14 cm
D. 19.6 cm
85.. The cumulative frequency curves below show the distribution of the ages of employees in two
departments of a company.
A
B C
D
V
0 25 30 35 40 45 50
5
10
15
20
Department A
Ages of employees in two departments of a company
Age
Department B
Cum
ulat
ive
freq
uenc
y
A
B
C
P
Q
R
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 27 ]
Which of the following are correct?
I. The total number of employees in Department A
< the total number of employees in Department B
II. The median age of employees in Department A
< the median age of employees in Department B
III. The 3rd quartile of the ages of employees in Department A
< the 3rd quartile of the ages of employees in Department B
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
86. Factorize y3 – 8x3.
A. (y – 2x)(y2 + 2xy + 4x2)
B. (y – 2x)(y2 – 2xy + 4x2)
C. (y – 2x)(y2 + 4xy + 4x2)
D. (y – 2x)(y2 – 4xy + 4x2)
87. Which of the following numbers has/have the same value as 15310?
I. 100110002
II. 100110012
III. 9916
A. I only
B. II only
C. I and II only
D. II and III only
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 28 ]
88. In the figure, P(x , y) is a point on AB such that AP : PB = 1 : 2. Find the coordinates of P.
A. (1 , 3)
B. (–1 , 5)
C. (–2 , 5)
D. (–2 , 3)
89. Express 0.000 021 32 in scientific notation.
A. 2.132 10–5
B. 2.132 10–6
C. 2.12 10–5
D. 2.12 10–6
90. In the figure, AD = CD, AB = CB. Which of the following must be true?
A. △ADE △CBE
B. △ADE △ABE
C. △ADE ~ △CBE
D. None of the above
91. In the figure, PQRS is a parallelogram and SR = TR. Find ∠QRT.
A. 70o
B. 75o
C. 80o
D. 85o
x
y
O
A(–5 , 7)
B(4 , 1)
P(x , y)
A
D
B
C E
Q
P S
R
T
105o
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 29 ]
92. A(5, 2), B(–1, 5) and C(0, –3) are the vertices of △ABC. How long is the shortest side of
△ABC?
A. 45
B. 50
C. 55
D. 65
93. A balloon consists of three parts: an open hemisphere, an open cylinder and an open circular cone.
The heights of the cylinder and the cone are 40 cm and 26 cm respectively. Its diameter is 18 cm.
Find the total surface area of the balloon. (Give the answer correct to 3 significant figures.)
A. 3 080 cm2
B. 3 220 cm2
C. 3 550 cm2
D. 3 870 cm2
94. The figure shows 4 check points of a race. Find the true bearing of U from T.
A. 339
B. 349
C. 159
D. 149
40 cm
18 cm
26 cm
30
R
N
S T
U
136
127
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 30 ]
95. If BD is the angle bisector of ABC , which of the following is/are true?
(1) CBDABD
(2) 45ACB
(3) BDAD
A (1) only
B (1) and (2) only
C (1) and (3) only
D All of the above
96. Factorize 249 b . A. )43)(43( bb B. )29)(29( bb C. )23)(23( bb D. )23)(23( bb
97. Solve xx 2215 .
A. 7x
B. 7x
C. 7x
D. 7x
98. Express 0.000 000 227 in scientific notation.
A. 61027.2
B. 71027.2
C. 6107.22
D. 7107.22
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 31 ]
99. 12222 24816
A. 20010111000000010 .
B. 200101011000000010 .
C. 20000100111000000001 .
D. 200001001011000000001 .
100.
4
32
3
3
p
p
A. p .
B. 2p .
C. p9 .
D. 29p .
101. The monthly salary of John is 25% higher than that of David while the monthly salary of David is
25% lower than that of Victor. It is given that the monthly salary of John is $33 360. The monthly
salary of Victor is
A. $31 275.
B. $33 360.
C. $35 584.
D. $52 125.
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 32 ]
102. A sum of 00020$ is deposited at an interest rate of %3 per annum for 4 years, compounded quarterly. Find the amount correct to the nearest dollar.
A. 60720$
B. 40022$
C. 51022$
D. 54022$
103. Which of the following is/are rational number(s)?
I. 7
22
II. 31
III. 3
4
A. I only
B. I and II only
C. I and III only
D. I, II and III
104.. A dice is tossed 50 times. The results are recorded below:
Number 1 2 3 4 5 6
Frequency 7 10 6 8 9 10
Find the experimental probability of getting the number ‘1’.
A. 0
B. 25
3
C. 50
7
D. 25
4
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 33 ]
105. A bag contains 40 balls whose colours are red or white. A ball is chosen at random. The probability
that the ball is red is 0.2. Find the number of red balls in the bag.
A. 2
B. 8
C. 16
D. 32
106. Find the relationship of the magnitude between the mean, median and mode of 10, 20, 20, 70, 40,
55 and 30.
A. mode median mean
B. mode median mean
C. mean median mode
D. median mode mean
107. Find the weighted mean of the following set of data.
A. 30.1
B. 27.5
C. 29.4
D. 31
Datum 25 12 40 33
Weight 1 2 3 4
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 34 ]
108.
In the figure, the solid has a square as its base and four equilateral triangles as its faces. The angle
between the line VC and plane ABCD is
A. VCB.
B. VCB.
C. VCV.
D. VVC.
109. In the figure, PQ is an axis of rotational symmetry of the given solid. What is the order of rotational
symmetry for PQ?
A. 6
B. 8
C. 10
D. 12
110. If the slope of the line joining P(5, y) and Q(3, 1) is 1, find y.
A. 7
B. 3
C. 3
D. 7
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 35 ]
111. The coordinates of points A, B and C are (7, 4), (3, 1) and (2, k) respectively. If ABBC, find
the value of k.
A. 1
B. 2
1
C. 2
3
D. 3
112. Given that the height and the base radius of a right circular cone are 21 cm and 20 cm respectively,
find its curved surface area.
A. 580 cm2
B. 1 050 cm2
C. 1 156 cm2
D. 1 261 cm2
113. In the figure, PQRS is a square and PST is an equilateral triangle. Find RQT.
A. 35
B. 30
C. 22.5
D. 15
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 36 ]
114. If AB = BC, find ACB.
A. 50
B. 55
C. 60
D. 65
115. In the figure, O is the circumcentre of △ABC. Find POQ.
(Hint: Circumcentre is the point of intersection of three perpendicular bisectors.)
A. 104°
B. 120°
C. 142°
D. 152°
116. In the figure, △ABC △AFE and CAE 22. Which of the following is correct?
A. BCA 68
B. CAB 68
C. FAC 22
D. BAF 22
A
B C
P Q
O
76°
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 37 ]
117. Points A, B and P lie on a straight line . Given that the coordinates of A and B are (8, 5) and (7,
10) respectively, and AP : PB = 3 : 2, find the coordinates of P.
A. (10, 5)
B. (2, 1)
C. (1, 4)
D. (5, 20)
118. The ratio of the total surface areas of two similar circular cones is 16 49. Find the ratio of their
volumes.
A. 4 7
B. 16 49
C. 64 343
D. 256 2 401
119. Stanley, whose eye level is 1.8 m above the ground, finds that the angle of elevation of the top of a
flagpole is 25. If he is 12 m from the flagpole, what is the height of the flagpole? (Give the answer
correct to 0.1 m.)
A. 8 m
B. 7.4 m
C. 6.6 m
D. 5.7 m
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 38 ]
120.
Points A and B are 115 cm apart, whereas points A and C are 30 cm apart. If ACBC, find the true
bearing of B from A.
A. 015
B. 075
C. 105
D. 255
121. The figure shows a solid which consists of a right circular cone and a hemisphere. Find the volume
of the solid.
A. 6 r3
B. 3 r3
C. 2 r3
D. 3
21 r3
122. In the figure, ABCD is a parallelogram. E is a point lying on CD such that BE = CE. If ADC
114, then ABE
A. 48.
B. 62.
C. 66.
D. 57.
END OF PAPER
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 39 ]
Solutions to Form 3 Mock 2 (MC) Mathematics Final Exam 16-17
1 2 3 4 5 6 7 8 9 10
B A A A D B C B D D
11 12 13 14 15 16 17 18 19 20
C D C A B C C D A C
21 22 23 24 25 26 27 28 29 30
A C B A B A D D C B
31 32 33 34 35 36 37 38 39 40
D C B C C C B C B A
41 42 43 44 45 46 47 48 49 50
D C C A D D B D A A
51 52 53 54 55 56 57 58 59 60
D C C D D D A A A D
61 62 63 64 65 66 67 68 69 70
C B B D A B C B B B
71 72 73 74 75 76 77 78 79 80
A A A D A D C C C B
81 82 83 84 85 86 87 88 89 90
A D C C A A D C A D
91 92 93 94 95 96 97 98 99 100
B A C C D D C B B D
101 102 103 104 105 106 107 108 109 110
C D A C B B A C B A
111 112 113 114 115 116 117 118 119 120
TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 40 ]
D A D D A D C C B D
121 122
C A