OBJECTIVE TEST

Simplify: 3x - 2(3 + 2x) + x(2x + 4).

2x² + 11x - 6

2x² + 3x - 6

2x² - 4x - 6

2x² + 4x - 6

The total numbers of goals scored each month by a football team are:
3, 4, 8, 2, 4, 6, 4, 8, 7 and 6.
What is the mode?

The probability of obtaining a head when a coin is tossed is $\frac{1}{3}$ . What is the probability of obtaining a tail?

$\frac{2}{3}$

$\frac{1}{2}$

$\frac{1}{3}$

If a = 64 and b = 2², find $\frac{a}{b}$ .

$\frac{1}{16}$

$\frac{1}{32}$

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

Make m the subject of the relation f = $\frac{t}{s}$ - m

m = $\frac{t}{s}$ + f

m = $\frac{t}{s}$ - f

m = $\frac{fs - t}{s}$

m = f - $\frac{t}{s}$

m = -f - $\frac{t}{s}$

The diameter of a circular tray is 28 cm. Find the area of the tray.

[Take π = $\frac{22}{7}$ ]

44 cm²

88 cm²

154 cm²

616 cm²

2464 cm²

Two interior angles of a triangle are (3x - 10)° and (4x + 20)°. Find an expression for the third angle.

(170 - 7x)°

(150 - 5x)°

(120 - 7x)°

(100 - 5x)°

How many 15Gp Christmas cards can be bought with GH₵18.00?

120

150

180

270

10.

How many lines of symmetry has a rhombus?

11.

Factorize completely 5xy + 10ny

5y(x + n)

5y(x + 2n)

5xy(1 + 2n)

5(xy + 2ny)

x(5x + 10n)

12.

A square of side 6cm has the same area as a rectangle of length 9 cm. Find the breadth of the rectangle.

3 cm

4 cm

6 cm

24 cm

36 cm

13.

Given the relation $\frac{1}{y}$ = $\frac{1}{c}$ + $\frac{1}{x}$ .

Which of the following expressions is equal to y?

p>c + x

$\frac{2}{cx}$

$\frac{c + x}{2}$

$\frac{cx}{c + x}$

$\frac{c + x}{cx}$

14.

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}

15.

If $1.00 = ₵340.00, what was the cedi value of an article which cost $6.50?

₵6,630.00

₵2,380.00

₵2,210.00

₵346.50

₵333.50

16.

Evaluate 53 - (-7) + (-15).

17.

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 $\frac{1}{2}$

18.

Solve: 3(x - 5) > 15 - 4(8 - x).

x > -32

x > -2

x > 2

x > 32

19.

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

160

20.

Given that A = {1, 2, 3, 4, 5, 6} and B = {3, 6, 9, 12}, find A ∪ B.

{3, 6}

{6, 12}

{2, 3, 4, 5, 9, 12}

{1, 2, 3, 4, 5, 6, 9, 12}

21.

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

Find L + K.

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

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

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

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

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

22.

A ribbon is 4 m long. How many pieces, each 30 cm long, can be cut from the ribbon?

23.

Find the rule for the following mapping:

x	0	1	2	3	4
↓	↓	↓	↓	↓	↓
y	-1	1	3	5	7

y = 2x + 1

y = 2x – 1

y = x²-1

y=x²+1

24.

If M = {Multiples of 4 between 10 and 25} and N = {even numbers between 11 and 23}, find M∪N.

{12,16,20}

{14,18,22}

{12,14,16,18,22}

{12,14,16,18,20,22,24}

25.

State the property used in the statement: p(q + r) = pq + pr

Associative

Commutative

Distributive

Identity

Universal

26.

Express 108 as a product of prime factors.

2² x 3³

2³ x 3²

2 x 3⁴

2³ x 3

27.

Prices of items in a shop were reduced by 10% during a reduction sale. If a customer bought an electric fan for ₵81,000.00, what was its original price?

₵72,900.00

₵73,900.00

₵89,100.00

₵90,000.00

28.

If w = 12, x = 5, y = 6 and z = 4, find the value of wx - yz.

29.

Simplify 2² x 2⁷ ÷ 2⁴

2^-1

2⁵

2¹¹

2¹³

30.

Araba is 3 years younger than her sister. If the sum of their ages is 17 years, find Araba's age.

7 years

8 years

10 years

9 years

31.

The table below shows the day and night temperatures of a town during a week. Use it to answer the question below.

Week	Temperature (^oC)
Week	Day	Night
Monday	33	24
Tuesday	29	25
Wednesday	32	23
Thursday	34	26
Friday	32	24
Saturday	30	24
Sunday	30	25

On which day was the change in temperature the least?

Monday

Saturday

Sunday

Tuesday

32.

When a number is doubled and the result is decreased by 9, the answer is 19. Find the number.

33.

A hall which is 8 m long is represented on a diagram as 4 cm long. What is the scale of the diagram?

1 : 200

1 : 250

1 : 400

1 : 800

34.

Express 0.125 as a fraction in its lowest form.

$\frac{1}{8}$

$\frac{1}{9}$

$\frac{1}{12}$

$\frac{1}{16}$

35.

A trader bought 100 tubers of yam for GH₵ n each. All the yams were sold at GH₵ m each. Find the profit.

GH₵ 100(m - n)

GH₵ 100(m + n)

GH₵ 100(n - m)

GH₵ 100( nm )

36.

Find the missing numbers in the sequence 4, 8, 12, _ , _ , _ , 28

14, 16, 22

14, 18, 22

6, 18, 22

16, 20, 24

16, 22, 24

37.

In the diagram below, MNO is a triangle. Angle MON = 72° and angle OMN = 68°.

Find angle ONP.

40°

68°

72°

112°

140°

38.

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

39.

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

40.

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

$\frac{11}{12}$

$\frac{7}{12}$

$\frac{1}{6}$

$\frac{5}{12}$

THEORY QUESTIONS

(a)

Simplify 2 $\frac{3}{4}$ ÷ $(3 \frac{3}{8} - 1 \frac{1}{2})$

(b)

There are 50 pupils in a class. Out of this number, $\frac{1}{10}$ speak French only and $\frac{4}{5}$ of the remainder speak both French and English. If the rest speak English only,

(i)

find the number of students who speak

(α)

both French and English;

(β)

only English.

(ii)

Draw a Venn diagram to illustrate the above information.

(a)

(i)

Copy and complete the following mapping:

x	1	2	3	4	5	6	7
↓	↓	↓	↓	↓	↓	↓	↓
y	5	7	9	-	-	-	17

(ii)

Determine the rule for the mapping.

(b)

Draw two perpendicular axes 0x and 0y on a graph sheet.

(c)

Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 units on the y-axis, mark the x-axis from 0 to 8 and y-axis from 0 to 20.

(d)

Plot the point for each ordered pair (x,y) and join them with a straight line.

(e)

Find:

(i)

y when x is 0;

(ii)

x when y is 14.

(a)

Solve the inequality $\frac{5x - 3}{6}$ - $\frac{2x - 4}{4}$ < 2

(b)

(i)

Copy and complete the table of values for he relation, y = 2x + 1

x	-3	-2	-1	0	1	2	3	4
y	-5	-3		1			7

(ii)

Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 units on the y-axis, plot the ordered pairs (x, y) on a graph sheet.

(iii)

Use a ruler to join the joints plotted.

(iv)

Use your graph to find

(α)

x when y = 4

(β)

y when x = -2.5

(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)

Using a scale of 2 cm to 1 unit on both axes, draw two perpendicular axes, OX and OY on a graph sheet.

(b)

On the graph sheet, mark the x-axis from –5 to 5 and the y-axis from –6 to 6

(c)

(i)

Plot on the same graph sheet the points A(1, 1 $\frac{1}{2}$ ), B(4, 1 $\frac{1}{2}$ ), C(1, 4).

(ii)

Join the points to form a triangle. What type of triangle have you drawn?

(d)

Draw the image triangle A₁B₁C₁ of ABC under a reflection in the y-axis, where A→A₁, B→B₁ and C→C₁. Label the vertices and the co-ordinates clearly.

(e)

Draw the image triangle A₂B₂C₂ of triangle ABC under an enlargement with scale factor –1 with the centre of enlargement as the origin (0,0), where A→A₂, B→B₂ and C→C₂. Show all lines of enlargement. Label the vertices and co-ordinates clearly

(f)

What single transformation maps A₁B₁C₁ onto A₂B₂C₂ where A₁→A₂, B₁→ B₂ and C₁→C₂?

(a)

Anita bought 51 tubers of yam at 3 for GH₵10.00. If she sold them and made a loss of 40%, how much did she sell each tuber of yam?

(b)

The volume of a cylinder closed at one end is 1056 cm³. If its height is 21 cm, find its:

(i)

diameter;

(ii)

total surface area.

[Take π = $\frac{22}{7}$ ]