1:

Simplify:

A:

B:

C:

D:

E:

No option

2:

If 23_{x} = 32_{5}, find the value of x.

A:

7

B:

6

C:

5

D:

4

E:

No option

3:

The volume of a cube is 512cm^{3}. Find the length of its side.

A:

6cm

B:

7cm

C:

8cm

D:

9cm

E:

No option

4:

The bar chart below shows the scores of some students in a test.

*Use it to answer question 4 and 5*

How many students took the test?

A:

18

B:

19

C:

20

D:

22

E:

No option

5:

If one student is selected at random, find the probability that he/she scored **at most** 2 marks

A:

B:

C:

D:

E:

No option

6:

Simplify

A:

18

B:

16

C:

14

D:

12

E:

No option

7:

Which of the following number lines represents the solution to the inequality

A:

coming

B:

sdf

C:

dsf

D:

dsf

E:

No option

8:

In the diagram, the value of x + y = 220^{0}. Find the value of n.

A:

20^{0}

B:

40^{0}

C:

60^{0}

D:

80^{0}

E:

No option

9:

Given that x > y and 3 < y, which of the following is/are **true? i.** y>3 **ii. **x<3 **iii.** x>y>3

A:

i only

B:

i and ii only

C:

i and iii only

D:

i, ii and iii

E:

No option

10:

Three quarters of a number added to two and a half of that number gives 13. Find the missing number.

A:

4

B:

5

C:

6

D:

7

E:

No option

11:

If X = {0, 2, 4, 6}, Y = {1, 2, 3, 4} and Z = {1, 3} are subsets of , find

A:

{0, 2, 6}

B:

{1, 3}

C:

{0, 6}

D:

{ }

E:

No option

12:

Find the truth set of the equation x^{2} = 3(2x + 9)

A:

{x: x = 3, x = 9}

B:

{x: x = -3, x= -9}

C:

{x: x = 3, x = -9}

D:

{x: x = -3, x = 9}

E:

No option

13:

The coordinates of points P and Q are (4,3) and (2, -1) respectively. Find the shortest distance between P and Q

A:

B:

C:

D:

E:

No option

14:

Make u the subject of the formula,

A:

B:

C:

D:

E:

No option

15:

In the diagram, <QPT = <PTS = 90^{0}, <PQR = 110^{0} and <TSR = 20^{0}. Find the size of the obtuse angle QRS

A:

140^{0}

B:

130^{0}

C:

120^{0}

D:

110^{0}

E:

No option

16:

If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

A:

B:

C:

D:

E:

No option

17:

Find the gradient of the line joining the points (2, -3) and (2, 5)

A:

0

B:

1

C:

2

D:

undefined

E:

No option

18:

If (x - a) is a factor of bx - ax + x^{2} - ab, find the other factor

A:

(x + b)

B:

(x - b)

C:

(a + b)

D:

(a - b)

E:

No option

19:

The table shows the distribution of the heights of plants in a nursery. Calculate the mean height of the plants.

A:

3.8

B:

3.0

C:

2.8

D:

2.3

E:

No option

20:

In the diagram, PQR is a straight line, (m + n) = 120^{0} and (n + r) = 100^{0}. Find (m + r)

A:

110^{0}

B:

120^{0}

C:

140^{0}

D:

160^{0}

E:

No option

21:

In the diagram, line SR is parallel to line UW, <WVT = x^{0}, <VUT = y^{0}, <RSV = 45^{0} and <VTU = 20^{0}

*Use this diagram to answer question 21 and 22*

Find the value of x

A:

20

B:

45

C:

65

D:

135

E:

No option

22:

Calculate the value of y

A:

20

B:

25

C:

45

D:

65

E:

No option

23:

The area of a sector of a circle with diameter 12cm is 66cm^{2}. If the sector is folded to form a cone, calculate the radius of the base of the cone. (Take pi = 22/7)

A:

3.0cm

B:

3.5cm

C:

7.0cm

D:

7.5cm

E:

No option

24:

A chord, 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle.

A:

0.7cm

B:

1.2cm

C:

2.0cm

D:

2.5cm

E:

No option

25:

Which of the following is a measure of dispersion?

A:

Range

B:

Percentile

C:

Median

D:

Quartile

E:

No option

26:

A box contains 13 currency notes, all of which are either #50 or #20 notes. The total value of the currency notes is #530. How many #50 notes are in the box?

A:

4

B:

6

C:

8

D:

9

E:

No option

27:

The graph below is for the relation y = 2x^{2} + x - 1

*Use it to answer questions 27 and 28.*

What are the coordinates of the point S?

A:

(1, 0.2)

B:

(1, 0.4)

C:

(1, 2.0)

D:

(1, 4.0)

E:

No option

28:

Find the minimum value of y

A:

0.00

B:

-0.65

C:

-1.25

D:

-2.10

E:

No option

29:

A ship sails x km due east to a point E and continues x km due north to F. Find the bearing of F from the starting point.

A:

045^{0}

B:

090^{0}

C:

135^{0}

D:

225^{0}

E:

No option

30:

If x:y = 3:2 and y:z = 5:4, find the value of x in the ratio x:y:z

A:

8

B:

10

C:

15

D:

20

E:

No option

31:

A trader bought sachet water for GHc55.00 per dozen and sold them at 10 for GHc50.00. Calculate, correct to 2 decimal places, his percentage gain.

A:

8.00%

B:

8.30%

C:

9.09%

D:

10.00%

E:

No option

32:

In the figure, PQ is a tangent to the circle at R and UT is parallel to PQ. If <TRQ = x^{0}, find <URT in terms of x.

A:

2x^{0}

B:

(90 - x)^{0}

C:

(90 + x)^{0}

D:

(180 - 2x)^{0}

E:

No option

33:

Given that , evaluate

A:

B:

C:

D:

E:

No option

34:

Approximate 0.0033780 to 3 significant figures

A:

338

B:

0.338

C:

0.00338

D:

0.003

E:

No option

35:

Simplify

A:

16

B:

8

C:

4

D:

1

E:

No option

36:

If is equal to , find P

A:

-x - 5

B:

- (x + 3)

C:

5x - 13

D:

5 - x

E:

No option

37:

Subtract from the sum of and

A:

B:

C:

D:

E:

No option

38:

A man's eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes

A:

33^{0}

B:

32^{0}

C:

27^{0}

D:

26^{0}

E:

No option

39:

A chord subtends an angle of 120^{0} at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord (Take )

A:

B:

C:

D:

E:

No option

40:

In parallelogram, PQRS, line QR is produced to M such that |QR| = |RM|. What fraction of the area of PQMS is the area of PRMS?

A:

B:

C:

D:

E:

No option

41:

Determine the value of m in the diagram.

A:

80^{0}

B:

90^{0}

C:

110^{0}

D:

150^{0}

E:

No option

42:

In a cummulative frequency graph, the lower quartile is 18 years while the 60th percentile is 48 years. What percentage of the distribution is **at most **18 years or **greater than **48 years

A:

15%

B:

35%

C:

65%

D:

85%

E:

No option

43:

If a number is selected at random from **each **of the sets P = {1, 2, 3} and Q = {2, 3, 5}, find the probability that the sum of the numbers is prime

A:

B:

C:

D:

E:

No option

44:

In the diagram, O is the centre of the circle, line PR is a tangent to the circle at Q and <SOQ = 86^{0}. Calculate the value of <SQR

A:

43^{0}

B:

47^{0}

C:

54^{0}

D:

86^{0}

E:

No option

45:

If log 5.957 = 0.7750, find

A:

sdfdsf

B:

sdfsdf

C:

dsf

D:

sdfsdf

E:

No option

46:

The probability of an event P happening is and that of event Q is . If the events are independent, what is the probability that **neither** of them happens

A:

B:

C:

D:

E:

No option

47:

Each exterior angle of a polygon is 30^{0}. Calculate the sum of the interior angles.

A:

540^{0}

B:

720^{0}

C:

1080^{0}

D:

1800^{0}

E:

No option

48:

Find the number of terms in the Arithmetic Progression (A.P) 2, -9, -20, ..., -141

A:

11

B:

12

C:

13

D:

14

E:

No option

49:

In what modulus is it true that 9 + 8 = 5?

A:

*mod10*

B:

*mod11*

C:

*mod12*

D:

*mod13*

E:

No option

50:

The radii of the base of two cylinderical tins, P and Q are r and 2r respectively. If the water level in P is 10cm high, what would be the height of the same quantity of water in Q?

A:

2.5cm

B:

5.0cm

C:

7.5cm

D:

20.0cm

E:

No option

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