OBJECTIVE TEST

A man invested ₵ 500,000.00 at 15% simple interest per annum for 2 years. Calculate the amount at the end of the period.

₵ 350,000.00

₵ 650,000.00

₵ 750,000.00

₵ 800,000.00

If the set A = {1, 2, 3, 4, 5} and the set B = {2, 4, 6}, find the number of members in the set A U B.

Kojo can buy 15 shirts at GH₵4.00 each. If the price is increased to GH₵5.00, how many shirts can he now buy?

Factorize completely b² + fb – mb – fm.

(b – f)(b – m)

(b + f)(b – m)

(b + f)(m – b)

(b + f)(m + b)

What is the value of four in the number 7073.48?

four tenth

four

forty

four hundred

Elias bought five books. Their mean price was GH₵ 3.25. The total cost for four of the books was GH₵ 11.75. What was the cost of the fifth book?

GH₵ 3.50

GH₵ 4.00

GH₵ 4.20

GH₵ 4.50

L = $(\begin{matrix} 3 \\ -1 \end{matrix})$ and K = $(\begin{matrix} -4 \\ 2 \end{matrix})$ .

Find L + K.

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

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

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

$(\begin{matrix} 7 \\ -1 \end{matrix})$

$(\begin{matrix} 7 \\ 1 \end{matrix})$

Make d the subject of the relation n = 2d + 3

d = $\frac{3n}{2}$

d = $\frac{n + 3}{2}$

d = $\frac{n - 3}{2}$

d = $\frac{3 - n}{2}$

The interior angle of a regular polygon is 135°. How many sides has the polygon?

10.

Find the slope of the line 3x - 6y = 33.

-3

11.

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.

12.

How many edges has a cuboid?

13.

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

Use the diagram to answer the question below.

Find b.

105

14.

Express 34 m 5 cm 6 mm in millimetres.

3,456 mm

34,056 mm

34,506 mm

340,506 mm

15.

The stem and leaf plot shows the weights (kg) of cocoa bags weighed in a week.

Use the information to answer the question below:

Stem	Leaf
4	0,5,7,9
5	1,3,4,5,7,8
6	0,2,3,4,4,4,4,5,6,8
7	1,2,3,4,5,8,8,9
8	2,3,5,6,9
9	4,5

How many bags of cocoa were weighed in the week?

16.

Mr. Nkrumah saved ₵75,000.00 at a simple interest rate of 20% per annum for 3 years. Calculate the interest he earned on his savings

₵15,000.00

₵30,000.00

₵45,000.00

₵60,000.00

17.

If a trader made a profit of 10% in selling a shirt for GH₵ 44.00, find the cost price

GH₵ 39.60

GH₵ 38.50

GH₵ 48.40

GH₵ 40.00

18.

Expand (7r - 5)(3r+4).

21r² + 13r - 20

21r² - 13r - 20

21r² - 43r - 20

21r² + 43r - 20

19.

Find the Highest Common Factor of 24, 42 and 72

20.

The following addition is in base ten. Find the missing addend.

	2	3	4	5
+	1	0	4	5
	*	*	*	*
	5	1	1	0

1300

1720

2765

4065

9500

21.

Make T the subject of the relation l² = $\frac{4 π^{2} T}{g}$

T = $\frac{gl}{2π}$

T = $\frac{g l^{2}}{2π}$

T = $\frac{l^{2}}{4g π^{2}}$

T = $\frac{g l^{2}}{4 π^{2}}$

22.

Find the value of n, if

25.003 = (2 x 10)+(5 x 1) + (3 x n)

0.001

0.011

0.01

0.1

23.

Name the geometrical figure shown in the diagram below.

Cuboid

Cone

Pyramid

Sphere

24.

The bearing of P from Q is 060^o. Find the bearing of Q from P

120^o

150^o

210^o

240^o

25.

What is the value of the digit 8 in the number 78000?

8 ten thousands

8 thousands

8 hundreds

8 tens

26.

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

{1, 7, 13}

{1, 9, 13}

{7, 13}

{7, 9, 13}

{13}

27.

Write ₵35,632.00 correct to the nearest thousand cedis.

₵40,000.00

₵36,000.00

₵35,600.00

₵35,000.00

₵30,000.00

28.

The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter?

x + 7

x + 14

2x - 7

2x + 7

29.

M = {g, o, q, s} and W = {h, p, r, t}. Find W U W.

{q, r, s, t}

{g, h, o, q, r}

{g, h, o, q, r, t}

{g, h, o, p, q, r, s, t}

30.

If r = $(\begin{matrix} -2 \\ 3 \end{matrix})$ and s = $(\begin{matrix} -4 \\ -1 \end{matrix})$ , find r + 2s.

$(\begin{matrix} -10 \\ 1 \end{matrix})$

$(\begin{matrix} -10 \\ -1 \end{matrix})$

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

$(\begin{matrix} -6 \\ 2 \end{matrix})$

31.

Factorize: xy + 5x + 2y + 10.

(x + 5)(2y + 10)

(x + 2)(y + 10)

(x + 5)(y + 2)

(x + 2)(y + 5)

32.

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?

33.

Use the graph of the straight line below to answer the question below

Determine the value of x when y is 3.

$\frac{1}{2}$

1 $\frac{1}{2}$

34.

If 2n - 5 = $\frac{1}{2}$ n, find the value of n.

$\frac{1}{3}$

$\frac{1}{2}$

2 $\frac{1}{2}$

3 $\frac{1}{3}$

35.

If A = {2,6,8} and B = {4,6,8,10}, which of the following statements is true?

A ⊂ B

A ∩ B = {2,6,8}

A ∪ B = {2,4,6,8,10}

A ⊃ B

36.

Simplify

-1

37.

In a town of 42,800 inhabitants, 48% are male. The rest are female. How many more females are there than males?

22,256

20,544

1,712

1,612

38.

The length of a rectangular fence is 25 m. The ratio of the length to the width is 5:3. Find the width of the rectangular fence.

9 m

13 m

15 m

16 m

39.

Zalia and Amina shared an amount of money in the ratio 2 : 5. If Amina had GH₵ 150.00 more than Zalia, how much did they share?

GH₵ 100.00

GH₵ 250.00

GH₵ 450.00

GH₵ 350.00

40.

A sales girl receives a 5 % commission on all she sells. Find how much she has to sell to receive GH₵ 15.00.

GH₵ 750.00

GH₵ 300.00

GH₵ 75.00

GH₵ 30.00

THEORY QUESTIONS

Using a scale of 2 cm to 1 unit on both axes, draw on a graph sheet two perpendicular axes 0x and 0y for -5 ≤ x ≤ 5 and -5 ≤ y ≤ 5.

Plot, indicating the coordinates of all perpendicular points A(2,3) and B(-3,4). Draw a straight line passing through the points A and B.

Plot on the same graph sheet, indicating the coordinates of the points C(4,2) and D(-2,-3). Draw a straight line passing through the points to meet line AB.

Using the graphs in (a):

find the values of y when x = -2;

measure the angle between the lines AB and CD.

(a)

Solve for x, if 2 - $\frac{3}{5}$ x ≤ 1 $\frac{1}{3}$ .

(b)

At a rally attended by 520 people, 30% were Fantes, 25% Ewes, 15% Nzemas, 20% Gas and the rest Gonjas.

(i)

How many Gonjas were at the rally?

(ii)

How many more Fantes than Nzemas were at the rally?

(iii)

Draw a pie chart to illustrate the information.

(a)

A woman borrowed GH₵ 5,300.00 to pay for her child's university fees. If she borrowed at a rate of 8% simple interest per annum for 9 months, find the interest paid.

(b)

A father shared his piece of land to his three children. The first child had $\frac{2}{5}$ of the land and the second had 5 acres more than the first.

If the third child had 20 acres, find how many acres of land the:

(i)

father shared;

(ii)

first child received;

(iii)

second child received.

(a)

Simply: 3 $\sqrt{50}$ + 2 $\sqrt{45}$ - $\sqrt{2}$ + $\sqrt{5}$

(b)

A wire of length 38 cm is bent into the shape of a rectangle whose length is 7 cm more than the width.

Find the area of the rectangle.

(c)

If 15% of the length of a rope is 720 metres, find half of the length of the rope.

Using a ruler and a pair of compasses only,

(a)

construct a triangle ABC such that |BA| = 10 cm, angle ABC = 90° and angle BAC = 30°. Measure the length BC.

(b)

(i)

Bisect the angle ACB to meet BA at D.

(ii)

What type of triangle is CDA?

(c)

Calculate the area of triangle ABC

The following marks were obtained by pupils in a test.

6	4	8	2	8
6	8	8	8	10
8	9	8	6	10
2	2	6	6	6

(a)

Construct a frequency distribution table for the data.

(b)

What is the modal mark?

(c)

Calculate the mean mark.

(d)

How many pupils scored more than 6 marks?

(e)

What is the probability that a student chosen at random obtained 2 marks?