40
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 8a 3 27b 3 . A. 2 a 3b 4a 2 6 ab 9b 2 . B. 2 a 3b 4a 2 6 ab 9b 2 . C. 2 a 3b 4a 2 6 ab 9b 2 . D. 2 a 3b 4a 2 6 ab 9b 2 . 3. 100010001012 = A. 5 2 6 2 10 . B. 5 2 7 2 11 . C. 10 2 6 2 10 . D. 10 2 7 2 11 . 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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Page 1: Mock 2 Exam with Sol 16-17 - Tak Sun Secondary School ...personal.tsss.edu.hk/roh/F3/Mock 2 Exam with Sol 16-17.pdfIf the price of a movie ticket is increased from $60 to $75, then

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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TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 2 ]

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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TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 3 ]

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

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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.

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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

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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.

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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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TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 9 ]

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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TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 10 ]

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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TSSS FORM 3 MATHS Mock 2 (MC) For FINAL EXAM 2016-17 [ 11 ]

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

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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

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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)

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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(

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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.

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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

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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

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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

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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

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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°

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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

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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

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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

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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