1:

Simplify

A:

B:

C:

D:

E:

2:

Evaluate and leave your answer to three significant figures

A:

16.697

B:

16.820

C:

16.900

D:

16.909

E:

16.910

3:

Simplify

A:

B:

C:

D:

E:

4:

Simplify

A:

2

B:

3

C:

4

D:

6

E:

12

5:

If and , find correct to the nearest whole number

A:

6

B:

5

C:

3

D:

2

E:

1

6:

Express and express your answer in standard form

A:

df

B:

C:

D:

E:

7:

The first term of a Geometric Progression is 6. If its common ratio is , find the 5th term

A:

B:

C:

D:

E:

8:

The first and last terms of an Arithmetic Progression are 6 and 153 respectively. If there are 50 terms in the sequence, find its common difference

A:

9

B:

7

C:

6

D:

4

E:

3

9:

Given that 244_{x} = 1022_{4}, what is the positive value of x?

A:

3

B:

4

C:

5

D:

6

E:

7

10:

If 3014_{5} = 2112_{5} + y_{5}, find the value of y

A:

10131

B:

5131

C:

5126

D:

902

E:

402

11:

Simplify

A:

ds

B:

C:

D:

E:

12:

A shareholder bought shares worth #100,000.00 on ordinary share at #2.00 each. If a dividend of 15 kobo per share is declared, how much dividend was received?

A:

#13,333.33

B:

#12,000.00

C:

#10,000.00

D:

#9,500.00

E:

#7,500.00

13:

Find the future value of an ordinary annuity of #500.00 paid yearly for 4 years at 10% per annum.

A:

#700.00

B:

#732.05

C:

#923.50

D:

#1,232.05

E:

#2,320.50

14:

Find the determinant of the matrix

A:

-6

B:

-3

C:

0

D:

3

E:

6

15:

Find the sum of the first 40 even positive integers.

A:

1,600

B:

1,640

C:

1,680

D:

3,200

E:

3,280

16:

The first term of an Arithmetic Progression is -3. If the sixth term is 22, find the mean of the common difference and the first term

A:

1

B:

4

C:

5

D:

7

E:

8

17:

Find the perimeter of a sector of a circle with radius 7cm which subtends an angle of 180^{0} at the centre of the circle

A:

36cm

B:

44cm

C:

58cm

D:

74cm

E:

108cm

18:

Victoria went for a doctor's appointment on Monday. If her next appointment is 45 days after, which day of the week will it be?

A:

Friday

B:

Monday

C:

Saturday

D:

Thursday

E:

Wednesday

19:

Solve the inequality

A:

B:

C:

D:

E:

20:

Expand (2a + b)^{2} - (b - 2a)^{2}.

A:

-8ab

B:

4ab

C:

8ab

D:

-4ab

E:

16ab

21:

If 4x^{2} - 12x + c is a perfect square, find the value of c.

A:

36

B:

9

C:

D:

E:

-9

22:

If (a - 3) is one of the factors of a^{2} + 14a - 51, find the other factor

A:

(a - 11)

B:

(a + 17)

C:

(a - 17)

D:

(a + 48)

E:

(a - 48)

23:

Find the gradient of a straight line joining the points (-3, 0) and (0, 5).

A:

20

B:

10

C:

D:

E:

24:

A quadratic equation whose roots are and is

A:

16x^{2} + 2x - 15 = 0

B:

16x^{2} - 2x + 15 = 0

C:

16x^{2} - 4x - 15 = 0

D:

16x^{2} - 8x + 15 = 0

E:

16x^{2} + 8x - 15 = 0

25:

If P varies directly as and P = 6 when Q = 81, find the value of P when

A:

3

B:

C:

D:

E:

-3

26:

What is the maximum value of y?

A:

6.05

B:

4.05

C:

-4.05

D:

-5.05

E:

-10.05

27:

What is the value of y when x = 0 ?

A:

9

B:

6

C:

5

D:

-9

E:

-15

28:

Let p: I study hard

q: I pass physics

r: I am happy

Translate into statement

A:

I am unhappy but I pass physics

B:

I pass physics and I am happy

C:

If i do not study hard, then I pass physics and I am happy

D:

If I study hard, then I pass physics and I am happy

E:

If I study hard, then I pass physics or I am happy

29:

Let p : I like bread with egg.

q : I like ginger in tea

Translate "I like ginger in tea but not bread with egg" into symbol.

A:

B:

C:

dsff

D:

dsf

E:

sdf

30:

Given that

(2x - 1) (x + 5) = 2x^{2} - mx - 5, find the value of m.

A:

11

B:

5

C:

-5

D:

-9

E:

-10

31:

Find the midpoint of a line joining the points M(4, 0) and N(3, p)

A:

B:

C:

D:

E:

32:

Find the equation of a line with gradient 3, passing through (1, 4)

A:

3x - y = 1

B:

3x - y = -2

C:

y - 3x = 1

D:

y - 3x = -4

E:

y - 3x = 3

33:

Solve the simultaneous equations:

A:

B:

C:

D:

E:

34:

Given that sin = , find the value of

A:

B:

C:

D:

E:

35:

Find the value of x in the figure below

A:

B:

C:

D:

E:

36:

In the figure below, is isosceles. Calculate

A:

105^{0}

B:

100^{0}

C:

95^{0}

D:

85^{0}

E:

75^{0}

37:

In the figure above, if the area of the square is 162cm^{2}, calculate the radius of the circle.

A:

12cm

B:

10cm

C:

9cm

D:

8cm

E:

7cm

38:

Calculate the area of the shaded region in the figure below.

A:

16.73cm^{2}

B:

27.75cm^{2}

C:

48.05cm^{2}

D:

93.20cm^{2}

E:

110.00cm^{2}

39:

In the figure above, AOB is a diameter. Find the angle marked x

A:

60^{0}

B:

55^{0}

C:

50^{0}

D:

45^{0}

E:

30^{0}

40:

In the figure below, AD is a chord of a circle centred at O. Find

A:

90^{0}

B:

80^{0}

C:

70^{0}

D:

50^{0}

E:

40^{0}

41:

In the figure below, ABCD is a cyclic quadrilateral and O is the centre of the circle. Find

A:

20^{0}

B:

40^{0}

C:

60^{0}

D:

80^{0}

E:

100^{0}

42:

Calculate nearest to the nearest degree, the parallel of latitude in the southern hemisphere along which a journey of 320km makes a change of 21^{0} in longitude.

(Take and R = 6400km)

A:

8^{0}

B:

16^{0}

C:

66^{0}

D:

82^{0}

E:

92^{0}

43:

The positions of two cities M and N are (14^{0}N, 30^{0}E) and (72^{0}N, 30^{0}E) respectively. How far is city N from M ?

(Take and R = 6400km)

A:

9610.16km

B:

8610.16km

C:

6481.27km

D:

6400.27km

E:

5364.18km

44:

Calculate the volume of a sphere with radius 6cm (Take = 3.14)

A:

2716.96cm^{3}

B:

904.32cm^{3}

C:

902.88cm^{3}

D:

452.16cm^{3}

E:

216.00cm^{3}

45:

What is the value of x if the gradient of the line joining (-2, x) and (x, 3) is 1/4

A:

-3

B:

-2

C:

1

D:

2

E:

3

46:

An arc of a circle of radius 6cm subtends an angle of 45^{0} at the centre of the circle. Find the length of the arc in terms of

A:

B:

C:

D:

E:

47:

Find the distance between the points C(3,3) and D(-1,5)

A:

B:

C:

D:

E:

48:

The bearing of a town Q from a town P is 045^{0}. Find the bearing of P from Q

A:

045^{0}

B:

090^{0}

C:

135^{0}

D:

180^{0}

E:

225^{0}

49:

Find the mean of , , , , , , , and

A:

sdfsdf

B:

sdfd

C:

5

D:

dsfds

E:

9

50:

Find the mode of the data below.

A:

6.7

B:

6.3

C:

5.8

D:

5.2

E:

4.4

51:

A farmland of 160 acres was used in planting various fruits as shown below

Use the information above to answer questions **51** to **53**

Find the angle subtended by the sector for pineapples

A:

66^{0}

B:

63^{0}

C:

53^{0}

D:

43^{0}

E:

33^{0}

52:

What is the percentage of farmland used for planting oranges?

A:

40%

B:

35%

C:

30%

D:

25%

E:

20%

53:

How many acres of land is used in planting guava?

A:

14

B:

16

C:

18

D:

24

E:

34

54:

Find the mean of the data below.

A:

20.5

B:

21.0

C:

21.5

D:

22.0

E:

22.5

55:

The probabilities of two independent events P and Q occurring are and respectively. Find the probability that none of the events will occur.

A:

B:

C:

D:

E:

56:

The table below shows the age distribution of students in a college. Use the information to answer questions **56** and **57 **

Find the probability that a student selected at random is at least 17 years old.

A:

B:

C:

D:

E:

57:

Find the probability that a student selected at random is either 17 or 18 years old.

A:

B:

C:

D:

E:

58:

Evaluate

A:

x^{3} - x^{2} + x + c

B:

x^{3} + x^{2} + x + c

C:

3x^{3} - 2x^{2} + 2x + c

D:

3x^{3} + 2x^{2} + 2x + c

E:

18x^{3} - 4x^{2} + 2x + c

59:

Find the derivative of ***

A:

B:

C:

D:

E:

60:

Evaluate

A:

In(4x + 2) + c

B:

C:

D:

E:

×