OBJECTIVE TEST

Given that x = 8, what type of angle is (9x + 8)^o?

Straight angle

Obtuse angle

Acute angle

Right angle

Simplify 200 x 0.01 x 372 leaving your answer in standard form.

74.4 x 10¹

7.44 x 10¹

7.44 x 10²

7.44 x 10⁴

Ama has 4 one cedi notes and orders an ice cream for GH₵ 1.75 and two toffees at 50 GP each.

How much does she have left?

GH₵ 1.25

GH₵ 1.75

GH₵ 2.25

GH₵ 2.75

A bag contains 12 mangoes of which 4 are not ripe. What is the chance of picking at random a ripe mango from the bag?

$\frac{1}{8}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{2}{3}$

It takes 15 men, 48 days to weed a plot of land. How many men can weed the same plot of land in 16 days, if they work at the same rate?

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.

How much does Mr. Awuah spend on rent?

₵90.00

₵450.00

₵4,500.00

₵9,000.00

₵16,200.00

Express 1.25 as a percentage.

25%

75%

125%

175%

Express 30% as a fraction in its lowest term.

7⁄10

3⁄20

7⁄20

3⁄10

The point P(-2, 3) is translated by a vector $(\begin{matrix} -1 \\ 3 \end{matrix})$ to a point R. Find the coordinates R.

(6, -2)

(-3, 6)

(-3, -6)

(-1, 0)

10.

The number of pupils who attended hospital from eight classes on a particular day are:

1,5,3,1,7,5,1,1.

Calculate the mean

11.

Simplify: $\frac{2a}{3}$ - $\frac{a - b}{2}$ .

a - 3

$\frac{a - 3b}{6}$

$\frac{a + 3b}{6}$

a + 3b

a - b

12.

The table below gives the distribution of ages of students in a class.

Use it to answer the question below.

Ages (years)	13	14	15	16	17
Number of students	3	10	6	7	4

If a student is selected at random from the class, what is the probability that the student is 15 years old?

$\frac{1}{5}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{2}{3}$

13.

What is the total cost of x shirts at GH₵ 5.00 each and y shirts at GH₵ 1.50 each?

A. 5x + 1.5y

5y + 1.5x

5(x + 1.5y)

1.5(5x + y)

14.

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

What is the modal mark?

15.

An equilateral triangle has side 16cm. A square has the same perimeter as the equilateral triangle. What is the area of the square?

48 cm²

96 cm²

144 cm²

256 cm²

16.

Use the mapping below to answer the question below

-2	-1	0	2	3	4	......	x
↓	↓	↓	↓	↓	↓		↓
y	-1	1	5	7	9	......	21

Find the value of x

–7

17.

What is the rule for this mapping?

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	1	3	5	7	9

x→2x - 1

x→2(x - 1)

x→2x + 1

x→2(x + 1)

x→2x - 1

18.

Which of the following is the set of prime factors of 12?

{2, 3}

{1, 2, 3}

{1, 2, 4, 6}

{2, 3, 4, 6}

19.

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)°

20.

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

21.

Find 12 $\frac{1}{2}$ % of GH₵ 80.00

GH₵ 8.00

GH₵ 10.00

GH₵ 12.00

GH₵ 12.50

22.

Express 12/25 in decimal fraction.

0.0408

0.048

0.408

0.48

23.

In an office, $\frac{2}{3}$ of the telephone bill is paid by Tom, $\frac{1}{5}$ by Azuma and the remaining by Tina. What fraction is paid by Tina?

$\frac{2}{15}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{7}{15}$

24.

A basket contains 450 oranges, if each orange costs ₵15.00, find the total cost of the oranges.

₵30.00

₵465.00

₵435.00

₵675.00

₵6,750.00

25.

Express $\frac{1}{25}$ as a decimal fraction.

0.4

0.04

0.004

0.0004

26.

The average mass of 4 boys is 45 kg. When a fifth boy joins them, the average mass changes to 40 kg. What is the mass of the fifth boy?

5 kg B

10 kg

15 kg

20 kg

25 kg

27.

Simplify 3(6b – 9a) + 7(6a – 5b)

17b + 6a

-17b + 6a

17b + 48a

15a – 17b

17b – 15a

28.

If a × b × c = 1197 and a = 21, b = 3, find c.

49.9

399

29.

Find the Lowest Common Multiple (LCM) of 2² x 3 x 5² and 2³ x 3² x 5.

2² x 3 x 5

2² x 3² x 5²

2³ x 3 x 5

2³ x 3² x 5²

30.

8 men can do a piece of work in 12 days. How long will 6 men take to do the same work if they work at the same rate?

14 days

16 days

18 days

20 days

31.

In the Venn diagram M and N are the subsets of the universal set U.

Use this information to answer the question below.

How many members are in the set N?

32.

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

$\frac{1}{6}$

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{5}{6}$

33.

Arrange the following numbers from the highest to the lowest: $\frac{2}{3}$ , -7, 0.

-7, 0, $\frac{2}{3}$

-7, $\frac{2}{3}$ , 0

0, $\frac{2}{3}$ , -7

$\frac{2}{3}$ , 0, -7

34.

If 2y = 5 - 3x, find x when y = 1.

-2 $\frac{1}{3}$

-1

35.

In the figure below, triangle ABC is an enlargement of triangle ADE. If |AE| = 20 cm and |EC| = 10 cm. What is the scale factor of the enlargement?

$\frac{1}{2}$

$\frac{3}{2}$

$\frac{5}{2}$

36.

Mr. Mensah withdrew some money from the bank. He gave $\frac{1}{2}$ of it to his sons and $\frac{1}{3}$ to his daughter. If he had ₵500.00 left, how much did he take from the bank?

₵600.00

₵750.00

₵1500.00

₵2000.00

₵3000.00

37.

P(2, 5) and Q(-2, 3) are points in the Cartesian plane, find the vector PQ→.

$(\begin{matrix} 4 \\ 2 \end{matrix})$

$(\begin{matrix} -4 \\ -2 \end{matrix})$

$(\begin{matrix} 4 \\ -2 \end{matrix})$

$(\begin{matrix} -4 \\ 2 \end{matrix})$

$(\begin{matrix} 0 \\ -2 \end{matrix})$

38.

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

39.

Simplify 6p³ × p² ÷ 3p⁴

18p

2p²

40.

Which of the following expression is illustrated on the number line above?

x < -3

x ≤ -3

x > -3

x ≥ -3

THEORY QUESTIONS

The table below shows the scores of some students in an examination.

Scores	0	1	2	3	4	5	6	7	8	9	10
Frequency	3	5	3	2	7	6	5	4	2	2	1

From the table, find

(a)

how many students wrote the examination;

(b)

the modal score;

(c)

the number of students that scored 7 or more;

(d)

the mean score correct to one decimal place.

An English textbook costs GH₵ 25.00. The author of the book agreed to take 20% of the cost of each book sold. If 1,702 copies were sold, calculate the author's share.

Simplify:

In the diagram, MN = 13 cm, MP = 15 cm, MS = 12 cm and MS is perpendicular to NP.

Calculate length NP.

(a)

Copy and complete the table below for the relation: x + y = 180

x	0	30	60	90	120	150	180
y	180			90			0

(b)

(i)

Using a scale of 2 cm to 20 units on both axes, draw two perpendicular axes OX and OY.

(ii)

Mark both axes from 0 to 180.

(iii)

Plot all the seven points. Use a ruler to join all the points.

(c)

Using your graph, find

(i)

y when x = 100;

(ii)

x when y = 70.

(a)

A car runs on the average at 45 km to 5 litres of fuel. Calculate how many litres of fuel are required for a journey of 117 km.

(b)

(i)

Solve for x in the inequality $\frac{2}{3}$ (2x + 5) ≤ 8 $\frac{2}{3}$

(ii)

Illustrate the solution on the number line.

(c)

A factory increased its production by 22 $\frac{1}{2}$ % and produced 49,000 tonnes. How many tonnes was it producing before?

(a)

Using a pair of compasses and ruler only,

(i)

Construct the triangle ABC with |AB| = 8 cm, |BC| = 8cm and |AC| = 7cm.

(ii)

Bisect angle ABC and let the bisector meet AC at D. Produce |BD| to P such that |BD| = |DP|. Join AP and CP.

(b)

Measure

(i)

angle ADB;

(ii)

|AP|.

(c)

What kind of quadrilateral is ABCP?

(a)

The table shows the number of students who scored more than 80% in the listed subject.

Subject	Number of students
Biology	26
Physics	30
Chemistry	32
French	38
Geography	24
History	30

(i)

Draw a pie chart for the distribution.

(ii)

What is the probability that a student chosen at random from the distribution, offers Chemistry?

(b)

A woman bought 210 oranges for GH₵7.50. She sold all of them at 3 for 15 Gp. Find the

(i)

total selling price of the oranges;

(ii)

percentage profit.