OBJECTIVE TEST

Use the diagram below to answer the question below.

Find the value of e.

38^o

40^o

88^o

92^o

Find the value of $\sqrt{6 \frac{1}{4}}$

5.0

4.9

2.5

2.4

1.2

Simplify 3a²b³ × 4a³b.

12a⁵b⁴

12a⁴b⁵

7a⁵b⁴

7a⁴b⁵

A tank contains 400 litres of water. If 100 litres is used, what percentage is left?

25%

30%

40%

75%

Make k the subject of the relation, ky - k = y²

A hall which is 20 m long is represented on a diagram as 10 cm long. What is the scale of the diagram?

1:200

1:250

1:400

1:500

If y = k + ax², find y when k = $\frac{14}{5}$ , a = $\frac{4}{5}$ and x = 2.

7 $\frac{3}{5}$

Five times a number is four more than the number. Find the number.

$\frac{3}{2}$

$\frac{2}{3}$

$\frac{1}{2}$

-1

The marks obtained by 13 candidates in a test are 5, 7, 2, 9, 11, 10, 2, 12, 2, 9, 3, 18 and 2.

Use this information to answer the question below.

Find the median.

10.

In the following diagram, rectangle OABC is enlarged into rectangle OA₁B₁C₁ from center O. OC = 5 cm, OA = 2 cm and AA₁ = 1 cm.

Use the diagram to answer the question below.

Calculate OC₁.

7.5 cm

8 cm

9 cm

12 cm

11.

If n² + 1 = 50, find n

24.5

$\sqrt{51}$

12.

Find the total cost of 25 pens and 75 books if each pen costs GH₵ 0.20 and each book costs GH₵ 0.30.

GH₵ 22.50

GH₵ 23.50

GH₵ 27.50

GH₵ 50.00

13.

Subtract 125.47 from 203.90

78.57

78.43

-121.57

-122.38

14.

In the figure below, MN and PQ are straight lines. Find the value of the angle marked x in the figure.

65°

75°

85°

155°

15.

Find the truth set of 5x – 8 ≤ 2x + 4.

{x ≥ 4}

{x ≥ -4}

{x ≤ 4}

{x ≤ -4}

{x = 4}

16.

Given that A = {2,4,6,8,10} and B = {4,8,12}, find A ∪ B.

{4,8}

{2,8,12}

{4,6,8,12}

{2,4,6,8,10,12}

17.

Find the next two terms in the sequence 11,7,3,-1,...,...

5,9

3,7

-4,-9

-5,-9

18.

Simplify $\frac{1}{2}$ - $\frac{2}{3}$ + $\frac{3}{4}$

$\frac{11}{12}$

$\frac{7}{12}$

$\frac{1}{6}$

$\frac{5}{12}$

19.

Simplify: ( $\frac{2}{3}$ - $\frac{1}{2}$ ) ÷ $\frac{1}{6}$

$\frac{1}{36}$

$\frac{1}{12}$

20.

Which of the following is an even prime number?

21.

If 4956 × 25 = 123,900, evaluate 495.6 × 2.5 leaving the answer in standard form.

1.239 × 10²

1.239 × 10³

1.239 × 10⁴

1.239 × 10⁵

22.

An amount of ₵ 5, 400.00 is shared among three sisters in the ratio of their ages. Their ages are 10 years, 6 years and 2 years. Find the share of the youngest sister.

₵ 300.00

₵ 600.00

₵ 1,200.00

₵ 1,800.00

23.

Two bells P and Q ring at intervals of 3 hours and 4 hours, respectively. After how many hours will the two bells first ring simultaneously (at the same time)?

6 hours

8 hours

12 hours

24 hours

24.

Use the equation y = (x + 2)(x - 2) to answer the question below

If x = -1, find y.

–4

–3

25.

Evaluate 0.25 x 0.006, correct to three decimal places

0.001

0.002

0.015

0.075

0.105

26.

Use the information below to answer the question below

The scores obtained by 8 pupils in a test are 2, 3, 4, 5, 7, 8, 8 and 9

Find the mean score.

4.50

5.75

6.00

8.75

10.00

27.

Find the solution set of n - $\frac{2}{3}$ > $\frac{1}{3}$ - n.

{n:n > -1}

{n:n = 0}

{n:n > $\frac{1}{3}$ }

{n:n > $\frac{1}{2}$ }

{n:n > 1}

28.

Given that N = {x:x is a factor of 18} and M = {x:x is a multiple of 12}, find N ∩ M.

{1,2,3,6}

{1,2,3,6,12}

{2,3,6,12,18}

{}

29.

A car travelled a distance of 50 km in an hour. What distance did it travel in 30 minutes at the same speed?

1,500 km

100 km

80 km

25 km

20 km

30.

The instrument used to measure the angle between two lines that meet at a point is known as a

pair of compasses.

set-square.

protractor.

pair of dividers.

31.

In an examination, 154 out of 175 candidates passed. What percentage failed?

12%

13%

18%

32.

Simplify: 3a x 24ab.

27ab²

27a²b

72ab²

72a²b

33.

A bag contains 4 blue and 8 red balls. What is the probability of picking a blue ball at random from the bag?

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{3}{4}$

34.

Find 12 $\frac{1}{2}$ % of GH₵ 80.00

GH₵ 8.00

GH₵ 10.00

GH₵ 12.00

GH₵ 12.50

35.

If the median of the numbers 9,10,12,x, 20 and 25 is 14, find the value of x.

36.

Use the information below to answer the question below

The scores obtained by 8 pupils in a test are 2, 3, 4, 5, 7, 8, 8 and 9

What is the probability that a pupil chosen at random scores 8 marks?

$\frac{1}{8}$

$\frac{4}{23}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{2}$

37.

135 pencils were to be packed into boxes. Each box could take 12 pencils. Find the number of boxes that were fully packed.

10 boxes

11 boxes

12 boxes

13 boxes

38.

Which of the following is a factor of the expression ac – 2bc + ad – 2bd?

c – d

a – 2b

a + b

a + 2b

c + 2d

39.

Solve for h in the equation 15 – 2h = 6

–10.5

–9.0

–4.5

4.5

10.5

40.

In which of the following constructions is P equidistant from the points A and B?

THEORY QUESTIONS

(a)

The ratio of men to women in a village is 12 : 25. If there are 120 men,

(i)

how many women are there?

(ii)

what is the total number of men and women?

(b)

A bag contains 70 pencils out of which 15 are green and 30 blue.

(i)

How many pencils of other colours are in the bag?

(ii)

A pencil is selected from the bag at random. What is the probability that it is blue?

(c)

Solve $\frac{1}{3}$ (x - 1) - $\frac{1}{2}$ (x - 3) ≤ 1 $\frac{1}{4}$ and illustrate your answer on the number line.

(a)

Using a ruler and a pair of compasses only, construct triangle XYZ, such that |XY| = 6cm, |XZ| = 8cm and |YZ| = 10cm.

(b)

(i)

Construct the mediator of line YZ

(ii)

construct the mediator of line XZ

(iii)

Locate O, the point of intersection of the mediators of lines YZ and XZ.

(iv)

With centre O and radius OY, draw a circle.

(c)

Measure the radius of the circle you have drawn in (b) (iv) above and hence calculate the circumference of the circle.

[ Take π = 3.14 ]

The table shows the number of marbles students sent to class for Mathematics lesson.

*Number of Marbles(x)*	*Number of Students(f)*	fx
1	4	-
2	5	-
3	-	42
4	9	-
5	-	30
6	2	12

(a)

Copy and complete the table.

(b)

How many:

(i)

students were in the class?

(ii)

marbles were brought altogether

(iii)

marbles did most of the students bring

(c)

Calculate, correct to the nearest whole number, the mean number of the marbles brought for the lesson.

(a)

Using a ruler and a pair of compasses only,

(i)

construct a triangle PQR such that |PQ| = 8 cm, angle RPQ = 90° and angle PQR = 30°. Measure |RQ|

(ii)

construct the perpendicular bisector (mediator) of RQ. Let it meet RQ at O.

(b)

With O as centre and radius OP, draw a circle. Measure |OP|.

(c)

What is the special name for the chord RQ?

(a)

A fair die and a fair coin are thrown together once.

(i)

Write down the set of all possible outcomes.

(ii)

Find the probability of obtaining a prime number and a tail.

(b)

The map of a field is drawn to a scale of 1 : 100. If the width and area of the field on the map are 8 cm and 88 cm² respectively, find in m², the area of the actual field.

(c)

Copy and complete the 3 x 3 magic square such that the sum of the numbers in each row, column and diagonal is equal to 21.

10	3
	7

(a)

If r =

and m =

, find p given p = r - m.

(b)

The sum of two numbers is 81. If the second number is twice the first, find the second number

(c)

The floor of a rectangular hall is of length 9 m and width 4 m. How many tiles of 20 cm by 30 cm can be used to cover the floor completely.