DO NOT TURN OVER THIS QUESTION BOOK UNTIL YOU ARE TOLD TO ...

Secondary:

QUEEN'S COLLEGE

YEARLY EXAMINATION, 2010-2011

MATHEMATICS PAPER II

2

Date: 16TH JUNE, 2011

Time: 10:30 ? 11:30 (1 hour)

INSTRUCTIONS

1. Answer all questions. You should mark all your answers on the MC Answer Sheet.

2. You should mark only ONE answer for each question. If you mark more than one answer, you will receive NO MARKS for that question.

3. Total score of this paper II is 80 marks. 4. Calculator is allowed to be used.

DO NOT TURN OVER THIS QUESTION BOOK UNTIL YOU ARE TOLD TO DO SO

Page 1/

Answer Nos. 1-4 by referring to the cumulative frequency polygon given below.

Marks of a group of students in a test

T2-14D1

50

40

30

20

10

0 20.5 30.5 40.5 50.5 60.5 70.5 80.5 90.5

Mark

1. How many students were there in the group?

A. 50 B. 54

C. 55 D. 60

2. How many students score less than 45.5 mark?

A. 16 B. 17

C. 39 D. 38

3. If the passing mark was 50, how many students passed the test?

A. 22 B. 23

C. 32 D. 33

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4. If 4 of the students were given a prize in the test for their good scores, find the minimum mark to get the prize.

A. 30.5 B. 76.5

C. 78.5 D. 90.5

5.

Simplify

x3 y2

3 y

x

4

2 .

A. y 7 B. xy8

C. x12 y 7 D. x17 y 8

6. If 3x + 4y = 0 and 2x + 3y = 14, find the value of x + y.

A. ?14 B. 0

C. 5 D. 14

7. Expand (x + 3y)(x ? 3y)(x2 + 9y2).

A. x4 + 9y4. B. x4 ? 81y4.

C. x4 ? 9y4. D. x4 ? 18y2x2 + 81y4.

8. Make b the subject of the formula 1 2 3 . ab c

A. b 1 2c a3

B. b 3 1 2 ca

C. b 2ac c 3a

D. b c 3a 2ac

9. Simplify 5x x 4 . 2(x 5) (5 x)

3x 8

A.

.

2(5 x)

3x 8

B.

.

2(x 5)

C. 3x 8 2(5 x)

D. 3x 8 . 2(x 5)

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10. In the figure, DBCE is a straight line. Find x.

A. 55 B. 110 C. 120 D. 130

x ? 10

D B

A x

x ? 20

C

E

11. In the figure, M is a point on BC, BA // CD. Find MAC.

A. 36 B. 40 C. 48 D. 58

A

D

40

62 80

B

M

C

12. In the figure, AD cuts BC at E, AB // CD. Find x.

A. 10

C

D

2x ?15

B. 25 C. 30

E 3x + 5

D. 35

2x + 10

A

B

13. In the figure, C is a point on BD, CAB = CAD, AB = AC and AC = CD.

Find ACB.

A

A. 36

B. 60

C. 72 D. 84

B

C

D

Page 4/

14. If each interior angle of a regular polygon is five times its exterior angle, find the number of sides of the polygon.

A. 10 B. 12

C. 14 D. 16

15. In the figure, ABCDE is a regular pentagon and DEFG is a square. CDY is a straight line. Find DYF.

A. 108 B. 120 C. 63 D. 72

A

E

F

B Y

D

G

C

16. In the figure, a + b + c + d + e + f + g =

A. 360. B. 450. C. 540. D. 720.

a

f

b

e

c

d

g

17. In the figure, ABCDEFG is a heptagon. Find x.

A. 120 B. 116 C. 106 D. 138

18. In the figure, find x.

A 180 ? x

G

x + 10

B

x + 10

F 140

x

E

140 C

x

D

A. 32.5 B. 35 C. 36 D. 40

x

x + 10

x + 60

x + 20

x + 30

x + 40

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