OBJECTIVE TEST

Find the value of m given that m = (3⁶ ÷ 3⁴) × 27

3¹

3²

3⁵

3⁶

3¹³

Find the value of x in the equation $\frac{x}{4}$ = 2

How many diagonals are in a rectangle?

The perimeter of a rectangle is 48 cm. if the length is 14 cm, find its width.

24 cm

20 cm

10 cm

3.4 cm

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

- $\frac{1}{8}$

- $\frac{1}{4}$

$\frac{1}{8}$

$\frac{1}{4}$

Which property of arithmetic is shown in the equation (6 + x) + 5 = 6 + (x + 5)

Commutative

Associative

Closure

Distributive

Simplify 2⁹ ÷ 2³

2³

2⁶

2¹²

2²⁷

A graph of a straight line AB is shown below.

Use it to answer the question below

Find the gradient of the line AB

Solve the inequality 3x + 6 ≤ 5x - 2.

x ≤ 2

x ≥ 2

x ≤ 4

x ≥ 4

10.

What is the probability of obtaining 4, when a fair die is tossed once?

$\frac{1}{6}$

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{5}{6}$

11.

Factorize 4ab² – 20ba²

4a(b² – 5b)

4b(b – 5a)

4ab(b - 5a)

4ab(a - 5b)

12.

The angles a and b in the figure above are

interior opposite

corresponding

vertically opposite

acute

alternate

13.

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

14.

The figure below is a cuboid wih dimensions x cm by y cm by z cm. Find the area of the face PQRV.

xy cm²

yz cm²

x² cm²

xz cm²

15.

Kofi paid rent of GH₵1,800.00 each year. If the rent is 0.3 of his annual income, find his annual income.

GH₵600.00

GH₵5,400.00

GH₵6,000.00

GH₵18,000.00

16.

What is the Highest Common Factor (HCF) of 24, 32 and 64?

17.

OPQR is a trapezium whose height is 20 cm. What is the area?

460 cm²

600 cm²

920 cm²

960 cm²

1000 cm²

18.

The pie chart shows the household budget of a family.

Use the information to answer the question below

If the family's income was GH₵ 40,000.00, how much was spent on clothing?

GH₵ 1,600.00

GH₵ 2,000.00

GH₵ 3,200.00

GH₵ 4,400.00

19.

Arrange the following fractions from the lowest to the highest: $\frac{3}{4}$ , $\frac{2}{3}$ and $\frac{3}{5}$ .

$\frac{3}{5}$ , $\frac{2}{3}$ , $\frac{3}{4}$

$\frac{3}{5}$ , $\frac{3}{4}$ , $\frac{2}{3}$

$\frac{3}{4}$ , $\frac{2}{3}$ , $\frac{3}{5}$

$\frac{3}{4}$ , $\frac{3}{5}$ , $\frac{2}{3}$

$\frac{2}{3}$ , $\frac{3}{5}$ , $\frac{3}{4}$

20.

If x = {1, 3, 5, 7, 9, 11, 13, 15}, find the truth set of x – 3 ≥ 10.

{15}

{13,15}

{11,13,15}

{9,11,13,15}

{7,9,11,13,15}

21.

Find the volume of a cube of side 5 cm.

10 cm³

15 cm³

25 cm³

125 cm³

22.

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

$(\begin{matrix} 7 \\ -2 \end{matrix})$

$(\begin{matrix} 5 \\ -3 \end{matrix})$

$(\begin{matrix} 8 \\ -7 \end{matrix})$

$(\begin{matrix} 3 \\ -4 \end{matrix})$

23.

Given that E = $\frac{1}{2}$ mc², find E when m = 10 and c = 4

160

24.

Fifteen boys took 12 hours to weed a plot of land. If nine boys work at the same rate, how long will it take them to weed the plot of land?

6 hours

7 $\frac{1}{2}$

11 $\frac{1}{2}$

20 hours

25.

If 8x - 3(2x - 4) = 4, find the value of x.

-8

-4

26.

In the following diagram RS and WV are parallel lines. The value of the angle marked α is

38^o

52^o

58^o

64^o

27.

If p x q x r = 1197, and p = 19, q = 3, find r.

28.

Which of the following is the largest set?

{Whole numbers}

{Composite}

{Natural numbers}

{Integers}

29.

If the bearing of Q from P is 120°, find the bearing of P from Q.

060°

210°

300°

240°

30.

If Y = 595 and Z = 7071, find the sum of Y and Z.

6466

7566

7666

12,021

13,021

31.

A straight line passes through the points P(-5,-3) and Q(-4,-7). Find the gradient of the line PQ.

-4

- $\frac{1}{4}$

$\frac{1}{4}$

32.

The height of a flag pole in a scale drawing is 5 cm. If the scale is 1 cm to 3 m, what is the actual height of the pole?

10 m

15 m

8 m

5 m

33.

If P = {2,3,4,6,8} and Q = {1,2,3,4}, find P∩Q.

{2,3,4}

{7,9,10}

{2,3,4,6,8}

{1,2,3,4,6,8}

34.

Two brands of air conditioners S and T cost GH₵ 3,000.00 and GH₵ 4,000.00 respectively. A company budgeted GH₵ 20,000.00 to buy air conditioners. If the company bought 5 units of brand S instead of brand T, how much did it save?

GH₵ 1,000.00

GH₵ 5,000.00

GH₵ 20,000.00

GH₵ 15,000.00

35.

Given that A = {b, c, i} and B = {a, e, f, i}, find A ∩ B.

{a, b, c, e, f, i}

{f, i}

{a}

{i}

36.

Mame Esi rides her bicycle to school and back everyday. If the distance from her home to the school is 2345 m, how many kilometers does she cover everyday?

4.98 km

4.69 km

3.96 km

3.68 km

37.

A pencil sells at ₵180.00 and an eraser sells at ₵120.00. how much will you pay if you buy three pencils and four erasers?

₵1,020.00

₵1,080.00

₵1,200.00

₵1,280.00

₵2,100.00

38.

Use the information below to answer the question below.

The ages in years of 9 children at a birthday party are 2, 3, 3, 3, 4, 5, 5, 5, 6.

If a child is picked at random, what is the probability that he is 5 years old?

$\frac{2}{9}$

$\frac{1}{3}$

$\frac{4}{9}$

$\frac{5}{9}$

$\frac{2}{3}$

39.

The following are the scores obtained by girls in a beauty contest: 12, 16, 19, 14, 17, 8, 11, 19.

What is the probability of obtaining a score of 19?

$\frac{1}{9}$

$\frac{1}{8}$

$\frac{1}{4}$

$\frac{19}{53}$

$\frac{19}{108}$

40.

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

- $\frac{1}{9}$

- $\frac{1}{18}$

$\frac{1}{18}$

$\frac{1}{9}$

THEORY QUESTIONS

(a)

Simplify 6 $(3 \frac{5}{6} - 1 \frac{1}{4})$ .

(b)

Copy and complete the magic square so that the sum of numbers in each row or column or diagonal is 18.

	4

7	8

(c)

Find the sum of all the factors of 24.

(d)

Given that m = $(\begin{matrix} 3 \\ -1 \end{matrix})$ , n = $(\begin{matrix} -1 \\ 2 \end{matrix})$ and r = $(\begin{matrix} 18 \\ -6 \end{matrix})$

Find m + n + r.

(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.

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).

(a)

In a class of 39 students, 19 offer French and 25 offer Ga. Five students do not offer any of the two languages. How many students offer only French?

(b)

In the diagram above, AC is parallel to DG, angle BFG = 118° and angle ABE = 83°.

Find the value of

(i)

angle CBF;

(ii)

(c)

A fair die is thrown once.

(i)

Write down the set of all the possible outcomes.

(ii)

Find the probability of obtaining a multiple of 2.

(iii)

What is the probability of obtaining a prime number?

(a)

Using a ruler and a pair of compass only:

(i)

construct triangle PQR such that |PR| = 8 cm, |PQ| = 6 cm and |QR| = 5 cm;

(ii)

construct the perpendicular bisector of |PR| and label it l₁;

(iii)

construct the perpendicular bisector of |QR| and label it l₂;

(iv)

Label the point of intersection of l₁ and l₂ as N.

(v)

With N as centre and radius equal to draw a circle.

(b)

(i)

Measure the radius of the circle.

(ii)

Calculate the circumference of the circle, correct to 3 significant figures.

[Take π = 3.14]

(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.