OBJECTIVE TEST

Adjoa and Ama share ₵600.00 between them in the ratio 3 : 2. Find Adjoa's share.

₵200.00

₵240.00

₵300.00

₵360.00

₵400.00

A piece of cloth is 8.4 m long. If 30 cm is needed to sew a napkin, how many napkins can be sewn from this piece of cloth?

In the diagram above, PQ is parallel to RS and |PR| = |QR|.

Use the diagram to answer the question below.

What is a?

134

Find the angle through which the minute hand of a clock moves from 5.15 p.m. to 5.25 p.m.

30°

45°

60°

120°

The sum of the interior angles of a regular polygon is 540^o. Find the number of sides of the polygon.

A refrigerator was sold for GH₵ 200.00 at a loss of 10%. Find the cost price.

GH₵ 180.00

GH₵ 190.48

GH₵ 220.00

GH₵ 222.22

How many faces has a rectangular pyramid?

If u = $(\begin{matrix} 3 \\ -1 \end{matrix})$ and v = $(\begin{matrix} 6 \\ 1 \end{matrix})$ , find 2u + v.

$(\begin{matrix} 12 \\ 0 \end{matrix})$

$(\begin{matrix} 12 \\ -1 \end{matrix})$

$(\begin{matrix} 6 \\ 1 \end{matrix})$

$(\begin{matrix} 6 \\ 0 \end{matrix})$

$(\begin{matrix} 6 \\ -1 \end{matrix})$

There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is red?

$\frac{2}{5}$

$\frac{2}{3}$

$\frac{3}{5}$

$\frac{4}{5}$

10.

Use the information below to answer the question below.

A rectangular tank has length 3 m, width 2 m and height 1.5 m.

The Alpha Water Company charges ₵40,000.00 for every 1 m³ of water.

Find how much it will cost to fill the tank completely.

₵180,000.00

₵240,000.00

₵300,000.00

₵360,000.00

11.

Convert 243_five to a base ten numeral.

12.

Find the value of the angle marked y in the diagram.

35°

43°

67°

78°

137°

13.

A car used 8 hours to travel from town A to town B at a speed of 18 km/h.

Find the distance travelled.

22.5 km

135 km

140 km

144 km

14.

An angle which is more than 90° but less than 180° is

an acute angle

a right angle

an obtuse angle

a reflex angle

15.

The stem and leaf plot shows the marks scored by students in a French test. Use the information to answer the question below.

Stem	Leaf
2	0 2 5 7 8
3	2 7 9
4	3 5 5 5
5	4 6 6 8
6	3 5 7
7	0 6

How many students took the test?

16.

Write down all the integers in the set A = {-10, -4, 0, $\frac{1}{4}$ , 2 $\frac{1}{4}$ , 45, 100}

{-10, -4, 0, 45, 100}

{-10, -4}

{0, 45, 100}

{ $\frac{1}{4}$ , 2 $\frac{1}{4}$ }

17.

The locus of points equidistant from a fixed point is called a

chord.

circle.

mediator.

diameter.

18.

In the diagram, XYZ is a triangle. YW is a straight line. Angle XYZ = 52° and angle XZW = 125°.

Find angle YXZ.

35°

55°

73°

107°

19.

Solve for y, if 3 + 3y = 1 - 13y

- $\frac{1}{8}$

- $\frac{1}{4}$

$\frac{1}{8}$

$\frac{1}{4}$

20.

If P = {7, 9, 13}, Q = {1, 7, 13}. Find P ∩ Q.

{1, 7, 13}

{1, 9, 13}

{7, 13}

{7, 9, 13}

{13}

21.

The table below gives the ages of members of a juvenile club.

Use it to answer the question below

Age in years	8	9	10	11
Frequency	5	10	6	9

How many people are in the club?

22.

Find the highest common factor (HCF) of 20, 12 and 28.

23.

Evaluate 4(8 - 2) + 5(3 - 8).

-31

-1

24.

The circumference of a circular track is 154 m. Find the diameter of the track.

[Take π = $\frac{22}{7}$ ]

22.0 m

24.5 m

49.0 m

242.0 m

484.0 m

25.

Find the truth set of the inequality 2y + 5 < 4y - 5.

{y:y > 5}

{y:y < 5}

{y:y > 1}

{y:y > 0}

26.

The diagram above shows the construction of :

the perpendicular bisector of the line

an angle of 45° at the point A

an angle of 45° at the point B

an angle of 90° at the point O

an angle of 90° at the point B

27.

Which of the following is equivalent to 2² × 6²

2 × 3⁴

2² × 3²

2² × 3⁴

2⁴ × 3

2⁴ × 3²

28.

The following marks are the marks obtained by pupils in a test: 2, 3, 5, 2, 3, 4, 2, 3, 5, 3.

Use the information above to answer the question below.

What is the mode?

29.

The cost of 12 note books is GH₵ 54.84. Find the cost of one note book.

GH₵ 5.57

GH₵ 4.67

GH₵ 4.57

GH₵ 3.57

30.

There are 20 identical balls in a box. Twelve are blue and the rest are green. If one ball is taken at random from the box, find the probability that the ball is green.

$\frac{1}{20}$

$\frac{2}{5}$

$\frac{3}{5}$

$\frac{3}{4}$

31.

Given the points S(5, -2) and T(3, 2), calculate the gradient of the line ST.

-2

- $\frac{3}{5}$

$\frac{1}{2}$

32.

The marks scored by 8 pupils in a science test are: 3, 7, 8, 8, 5, 4, 8, 4.

Use it to answer the question below.

What is the probability that a pupil chosen at random scored 4 marks?

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{8}$

$\frac{2}{47}$

33.

Simplify 5w + 7p² - 4w + 3p²

9w + 10p²

w + 10p²

w + 4p²

9w + 4p²

34.

In the diagram, ∆STR is the enlargement of ∆PQR. If |TQ| = 8 cm, |QR| = 4 cm and |PQ| = 2.4 cm, find |ST|.

4.8 cm

7.2 cm

8.4 cm

9.6 cm

35.

Simplify:5² x 2² x 5² x 2

2² x 5²

2² x 5⁴

2³ x 5²

2³ x 5⁴

36.

P = {3, 6, 9, 12, 15}. Which of the following best describes the set P?

The set of multiples of 3 less than 18

The set of multiples of 3

The set of odd numbers

The set of odd numbers less than 16

37.

In the above diagram, |RS| = |RT|. Find a

146°

81°

73°

65°

34°

38.

What is the next term in the following set of numbers: {1, 3, 7, 15, 31, ...} ?

39.

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

{x ≥ 4}

{x ≥ -4}

{x ≤ 4}

{x ≤ -4}

{x = 4}

40.

In a class of 23 students, the girls were 7 more than the boys. How many boys were in the class?

THEORY QUESTIONS

(a)

Evaluate $\frac{4000 x 0.35}{0.05}$ , leaving the answer in standard form.

(b)

Mr Boakye gets 10% commission on type P house he sells and 15% on type Q house.

He sells 3 type P houses at GH₵ 700,000.00 each and 4 type Q at GH₵ 1,400,000.00 each.

Calculate the total commissions he makes.

(a)

A boy has enough money to buy 14 pencils at ₵450.00 each. How many erasers costing ₵300.00 each can he buy with the same amount of money?

(b)

A circle has a circumference of 44cm. Calculate its radius if π = $\frac{22}{7}$

(c)

Simplify (2 $\frac{1}{4}$ - 1 $\frac{5}{8}$ ) ÷ 3 $\frac{7}{16}$ .

(d)

If $\frac{5(n + 6)}{n}$ = 1, find n.

(a)

Using a ruler and a pair of compasses only,

(i)

construct triangle ABC with sides |AB| = 7 cm, |BC| = 8 cm and |AC| = 9 cm;

(ii)

draw the perpendicular bisectors of the three sides;

(iii)

locate the point of the intersection, O, of the perpendicular bisector;

(iv)

with center O and radius OA, draw a circle to pass through the vertices of the triangle.

(b)

Measure and write down the radius of the circle you have drawn in (a)(iv).

(c)

Find the product of (2x - 3) and (x -1).

(a)

A trader sold 250 articles for ₵525,000.00 at a profit of 25%.

(i)

Calculate the cost price of each article.

(ii)

If the trader had wanted 45% profit on the cost price, how much should he have sold each of the articles?

(b)

Find the simple interest on ₵880,000.00 for 2 $\frac{1}{2}$ years at 3 $\frac{1}{4}$ % per annum

(a)

If p = $(\begin{matrix} 4 \\ 5 \end{matrix})$ , q = $(\begin{matrix} 0 \\ -2 \end{matrix})$ and r = $(\begin{matrix} -3 \\ 7 \end{matrix})$ .

Find p + 2q + r.

(b)

Find the solution set of the inequality x - $\frac{4}{5}$ ≤ $\frac{1}{5}$ , if the domain is the set {-2, -1, 0, 1, 2}

(c)

A rectangular sheet of metal has length 44 cm and breadth 10 cm. It is folded to form a cylinder with the breadth becoming the height.

Calculate

(i)

the radius of the cylinder formed;

(ii)

the volume of the cylinder.

[Take π = $\frac{22}{7}$ ]

The ages of 20 school children were recorded as follows:

13	9	15	17	13
9	11	9	11	15
17	15	11	9	9
11	15	11	11	11

(a)

Make a frequency table for the data using the ages of 9, 11, 13, ..........

(b)

Use your table to calculate the mean age (correct to the nearest whole number).