1st Semester Exam Paper1

8/3/2019 1st Semester Exam Paper1

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This question paper consists of 40 questions. Answer all questions. Each question is followed by four choices of answers A , B , C and D. For each question, choose one answer only. Non-

programmable calculator is allowed.

1. Express 0.0000863 in standard form.A. 8.63 × 105 C. 86.3 × 104

B. 8.63 × 10-5 D. 863 × 10-4

2. 7.5 × 103 × (2.6 × 104)2 =

A. 1.95 × 1012

B. 1.95 × 1011

C. 5.07 × 1012

D. 5.07 × 1011

3. 5.01 × 10-3 + 4.8 × 10-4 =

A. 2.10 × 10-3

B. 2.10 × 10-4

C. 5.49 × 10-3

D. 5.49 × 10-4

4. Round off 0.003692 correct to three

significant figures.

A. 0.003 C. 0.00369B. 0.004 D. 0.00370

5. Express 3 × 53 + 2 as a number in base

five.

A. 235 C. 3025

B. 325 D. 30025

6. 1000112 − 1112 =A. 100112 C. 101102

B. 111012 D. 111002

7. In the diagram, PQRST is a regular

pentagon, TS = TU and RSV is a

straight line.

The value of x + y is

A. 108 C. 224

B. 116 D. 264

8. The diagram shows the graph of y = cos

x.

The value of q is

A. 90 C. 270

B. 180 D. 360

9. The diagram shows two triangles, L and

M , drawn on a square grid.

M is the image of L under an

enlargement. Considering the four

points, A, B, C and D, which of these is

the centre of enlargement?

10. The diagram below shows point R on a

Cartesian plane.

Considering points A, B, C and D,

which of these is the image of point Runder an anticlockwise rotation of 90o

about the centre (2, −3)?

11. In the diagram, RSTU is a straight line

and PQ = QS .

1



Find the value of cos xo

A. −5

13C.

5

13

B. −12

13D.

12

13

12. In the diagram below, RST and TUV are

straight lines. Given that sin x =5

13.

The total length of ST and TU , in cm, isA. 4 C. 18

B. 10 D. 22

13. The diagram shows a cube with

horizontal base ABCD.

The angle between the line DE and the

plane CEF is

A. ∠ CGB C. ∠ CEF

B. ∠ CEG D. ∠ CED

14. In the diagram below, KL and MN aretwo vertical poles on a horizontal

ground.

The angle of depression of M from the

tip K is 50o. Calculate the value of h.

A. 9.6 m C. 12.6 m

B. 11.5 m D 17.9 m

15. In the diagram below, PQ and RS are

two vertical flag poles on a horizontal

plane.

The angle of elevation of the tip R from

the tip P is

A. 32o C. 51o

B. 37o D. 58o

16. In the diagram, DEF is a tangent to the

circle EGH . GH is the diameter of the

circle.

The value of x is

A. 40 C. 70

B. 50 D. 80

17. Express 3 1 46 3

m m− −+ as a single

fraction in its simplest form.

A.7

3

m +C.

5 7

2

m +

B.5 7

3

m +D.

7

6

m +

2



18. (−2 x − y)2 – 4 x(1 – 3 x) =

A. 16 x2 – xyB. 16 x2 + 4 xyC. 16 x2 + y2 + 4 xy – 4 xD. 16 x2 – y2 – 4 xy – 4 x

19. (2 x + 5)(3 x – 8) =A. 6 x2 – x – 40

B. 6 x2 + x – 40

C. 6 x2 + 31 x – 40

D. 6 x2 – x + 40

20. Given that y – 2 =3

5

x

− 1, then x =

A.5 1

3

y −C,

3

5( y + 1)

B.5

3

( y – 1) D.3 1

5

y +

21. Given that 2(4 − n) = 3n – 2, then n =

A. 2 C. 6

B. 4 d. 8

22.4 2 2

2

16 3

4

m n n s

mn s

×=

A.312m

nsC.

3

12

nm

sB. 12m3ns D. 12mns

23. Simplify = (d 4)3 ÷ d 6

A. d 6 C. d 3

B. d 4 D. d 2

24. Given that 2 x =3

64

2 x, find the value of

x.

A. 4 C.3

2

B. 2 D.1

2

25. List all the integers which satisfy the

inequalities 3 x – 10 < x ≤ 2 + 5 x.

A. −1, 0, 1, 2, 3, 4, 5

B. −1, 0, 1, 2, 3, 4

C. 0, 1, 2, 3, 4

D. 0, 1, 2, 3, 4, 5

26. The table below shows the number of

reference books for each student in a

class. Number of reference books

0 1 2 3 4 5

Frequency 2 5 12

k 6 7

If the median of the data is 2 books,

find the maximum value of k .A. 4 C. 6

B. 5 D. 7

27. The incomplete pictograph in thediagram below shows the number of

three types of magazines sold by a

bookstore in a month.

Sports

LiteratureEntertainment

represents 25 copiesThe ratio of literature magazines to

entertainment magazines is 2 : 3. Find

the total number of sports and

entertainment magazines sold in the

month.

A. 250 C. 300

B. 275 D. 325

28. Which of the following represents the

graph y = x2 −4?

A. C.

B. D.

3



29. Which of the following Venn diagrams

represents set Q ⊂ P , such that the

universal set ξ = P ∪ Q?

A.

B.

C.

D.

30. The diagram below is a Venn diagram

with the universal set ξ = P ∪ Q ∪ R.

Which of the regions A, B, C or D,

represents the set Q ′ ∩ R′ ∩ P ?

31. The Venn diagram below shows the

elements of set A, set B and set C.

It is given that the universal set ξ = A

∪ B ∪ C and n(C ′ ) = n( A ∩ C ). Findthe value of x.

A. 5 C. 7

B. 5 D. 9

32. Find the y-intercept of the straight line

3 x – 4 y – 12 = 0

A. −4 C. 3B. −3 D. 4

33. In the diagram below, RS is a straight

line.

What is the gradient of RS ?

A. 13

− C. −3

B.1

3D. 3

34. The table shows the gender

composition of 80 residents in towns P and Q.

Town P Town Q

Men 22 16

Women 15 27

A resident is chosen at random from

the group. What is the probability that aman from town Q is selected?

A.1

5C.

8

19

B.16

43D.

11

40

35. Two fair dice are rolled. Find the

probability that the sum of the two

numbers obtained is 10.

A.5

36

C.1

12

B.1

6D.

1

18

36. The table shows the variables x and ysuch that y varies inversely as the

square of x.

x −2 3

4

P Q

Q

P

Q P

Q

P

P Q R

A

BC

D

A

B

C

4 x + 5

7 2

5

x − 3



y 9 4

Find the relation between y and x.

A. y =9

4 x2 C. y =

4

9 x2

B. y = 2

36

x

D. y = 36 x2

37. It is given that y varies directly as the

square root of x and y = 42 when x =

36. Calculate the value of x when y =

28.

A. 4 C. 16

B. 8 D. 21

38. The table below shows some values of

the variables y, x and z such that yvaries directly as the square of x and

inversely as z . y x z

45 6 4

w 8 16

The value of w is

A. 10 C. 24B. 20 D. 30

39.2 1 1 2

23 4 4 1

M −

− = − −

A.5 0

2 3

− C.

3 4

2 9

−

B.3 4

10 9

−

D.3 4

2 9

−

40. Given that (h 4)2 0

3h

−

= (18

12),

calculate the value of h.

A. −9 C. 6

B. −3 D. 12

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1st Semester Exam Paper1