OBJECTIVE TEST

The table below gives the number of goals scored by a football team in a league season:

Number of goals scored in a match	0	1	2	3	4	5
Frequency	1	7	6	4	1	1

Use it to answer the question below.

What is the mean number of goals scored by the team?

State the rule for the mapping

x	0	1	2	3	4
↓	↓	↓	↓	↓	↓
y	0	$\frac{1}{4}$	$\frac{1}{2}$	$\frac{3}{4}$	1

x → $\frac{x}{4}$

x → $\frac{x}{2}$

x → $\frac{3x}{4}$

x → $\frac{1}{2x}$

Express 30 minutes as a percentage of 3 hours 20 minutes

12.5 %

15 %

16⅔ %

20 %

8 girls can weed a plot of land in 10 days. How many days will 5 girls take to weed the same plot of land, working at the same rate?

6 days

8 days

12 days

16 days

A bag contains 24 marbles, 10 of which are blue and the rest green. A boy picks a marble at random from the bag. What is the probability that he picks a green marble?

$\frac{1}{14}$

$\frac{7}{17}$

$\frac{5}{12}$

$\frac{7}{12}$

$\frac{7}{10}$

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

The ratio of boys to girls in a school is 9 : 11. If there are 400 pupils in the school, how many boys are there?

120

180

220

280

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

Find L + K.

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

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

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

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

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

What is the value of 3x² + 2x - 7 when x = -3?

-40

-33

10.

A graph of a straight line AB is shown below.

Use it to answer the question below

Find the gradient of the line AB

11.

Find the rule for the mapping:

1	2	3	4	5	...	n
↓	↓	↓	↓	↓	↓	↓
10	21	32	43	54	...	-

n → 10n

n → (10n + 1)

n → (11n - 1)

n → (7n + 3)

12.

Simplify: 11 – (11 – 4) + 13.

–7

–17

13.

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

14.

M = {multiples of 3 between 10 and 20}
N = {even numbers between 10 and 20}.

Find M ∩ N.

{12, 18}

{12, 15, 18}

{12, 14, 16, 18}

{12, 14, 15, 16, 18}

{10, 12, 14, 15, 18, 20}

15.

If q = ut + $\frac{1}{2}$ ft, find q when u = 20, t = 10 and f = 15

350

275

237.5

42.5

16.

The pie chart shows how Kwaku spends his monthly salary.

Use this information to answer the question below.

What percentage of his salary does he spend on rent and utilities?

12.1%

12.5%

22.2%

33.3%

17.

Find the L.C.M of 10, 15 and 25.

120

150

300

18.

What is the value of the digit 9 in the number 624.93 ?

9 hundreds

9 tens

9 units

9 tenths

19.

Solve the inequality 2x + 10 ≥ $\frac{7x}{2}$ - 5

x ≤ 10

x ≥ 10

x ≤ 40

x ≥ 40

20.

Simplify: 12 - 7 - (-5).

-10

-2

21.

The diagram below shows a circle center O. If A and B are points on the circle, what name is given to the shaded region?

Chord

Segment

Sector

Arc

22.

Correct 0.00025 to one significant figure.

0.2

0.003

0.0002

0.0003

23.

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

$\frac{3}{2}$

$\frac{2}{3}$

$\frac{1}{2}$

-1

24.

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

25.

If x ∈ {2, 3, 4, 5}, find the truth set of 2x + 1 < 8

{2, 3, 4}

{2, 3}

{3, 4}

{4, 5}

26.

If 2y = 6 – 3x, find y when x = 0

–3

–2

27.

The bar chart shows the distances of 5 villages, P, Q, R, S and T from a market town.

Use it to answer the question below.

Which village is farthest from the market town?

28.

Write 0.01723 in standard form.

0.01723 x 10^-2

0.01723 x 10²

1.723 x 10^-2

1.723 x 10²

29.

How many edges has a cuboid?

30.

A boy walked round a circular pond once. If the radius of the pond is 28 m, find the distance covered.

[Take π = $\frac{22}{7}$ ]

44 m

88 m

176 m

252 m

31.

The pie chart shows the monthly expenditure of Mr. Awuah whose monthly income is ₵18,000.00.

Use the chart to answer the question below.

What is the size of the angle that represents savings?

40°

60°

130°

230°

320°

32.

How many edges has a triangular prism?

33.

P = {1, 2, 3, 8, 10}, Q = {8, 1, x, 3, 2}. If P = Q, what is the value of x?

34.

The cost of three items at a shop are GH₵ 72.00, GH₵ 1,105.00 and GH₵ 216.00.

If a customer bought all the three items and received a change of GH₵ 107.00, how much did he initially give the shopkeeper?

GH₵ 1,300.00

GH₵ 1,400.00

GH₵ 2,000.00

GH₵ 1,500.00

35.

The bar chart shows the mark distribution of pupils in a test. Use it to answer the question below

How many pupils took the test?

36.

Express 0.125 as a fraction in its lowest form.

$\frac{1}{8}$

$\frac{1}{9}$

$\frac{1}{12}$

$\frac{1}{16}$

37.

In the diagram, QP is parallel to ST, angle QPR = 68^o and angle SRT = 40^o.

Use the information to answer the question below:

Find the value of angle PQR.

40^o

68^o

72^o

108^o

38.

Find the diameter of a circle whose circumference is 88 cm. [Take π = 22⁄7]

14 cm

22 cm

28 cm

82 cm

39.

Which of the following best describes the statement: "The locus of points 6 cm from a fixed point O?"

A parallel line 6 cm from O

A vertical line 6 cm from point O

A horizontal line 6 cm from point O

An equilateral triangle of side 6 cm

A circle with centre O and radius 6 cm

40.

Five cards are numbered one to five. A card is picked at random. What is the probability that it has an even number?

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{1}{5}$

THEORY QUESTIONS

In a class of 30 girls, 17 play football, 12 play hockey and 4 play both games.

Draw a Venn diagram to illustrate the given information.

How many girls play:

one or two of the games;

none of the two games?

In the diagram, ABCD is a circle of radius 14 cm and centre O. Line BO is perpendicular to line AC. Calculate, the total area of the shaded portions.

[Take π = $\frac{22}{7}$ ]

(a)

A box has length 8.0 cm, width 5.0 cm and height 10.0 cm. Find the

(i)

total surface area of the box

(ii)

the volume of the box

(b)

(i)

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

(ii)

On the same graph sheet mark the x-axis from -5 to 5 and the y-axis from -6 to 6.

(iii)

Plot and join the points A(0,3), B(2,3) and C(4,5) to form triangle ABC.

(iv)

Draw the image A₁B₁C₁ of triangle ABC under a translation by the vector $(\begin{matrix} -1 \\ -1 \end{matrix})$ .

(v)

Draw the image A₂B₂C₂ of triangle ABC under a reflection in the x-axis.

The table below shows the distribution of pupils in a JSS form one (1) class who speak some of the Ghanaian languages.

Ghanaian Language	No. of students who speak the language
Nzema	5
Ga	20
Twi	30
Ewe	25
Fante	10

(a)

Draw a pie chart for the distribution.

(b)

What is the modal Ghanaian language?

(c)

If a pupil is selected at random from the form, what is the probability that he speaks Ga?

(a)

Simplify: (4x + 2)(x - 2) - 3x²

(b)

The following are the angles formed at the center of a circle: 40^o, 60^o, 100^o, 3x^o and 5x^o.

Find the value of x.

(c)

The cost (C) in Ghana Cedis of producing a book of x pages is given by C = 25 + 0.6x.

(i)

Find the cost of producing a book with 220 pages.

(ii)

How many pages are in a book produced at a cost of GH₵ 145.00?

(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)

Copy and complete the table for the relation y = 2x + 5.

x	-3	-2	-1	0	1	2	3	4
y	-1	1		5				13

(b)

(i)

Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes 0x and 0y on a graph sheet.

(ii)

Mark the x-axis from -6 to 10 and y-axis from -6 to 14.

(iii)

Using the table, plot all the points of the relation y = 2x + 5 on the graph.

(iv)

Draw a straight line through the points.

(c)

Use the graph to find

(i)

y when x = 1.6

(ii)

x when y = 10