OBJECTIVE TEST

If x = 2, find the value of q in the equation 3x – 4 = x + q.

–1

–8

A car travels 72 kilometres in an hour. Find its speed in metres per second.

5 ms^-1

20 ms^-1

50 ms^-1

200 ms^-1

1200 ms^-1

Make P the subject of the relation, R = $\frac{(P+Q)}{2}$

P = Q - 2R

P = 2R - Q

P = 2R + Q

P = 2Q + R

Write down all the integers in the set A = {-10, -4, 0, $\frac{1}{4}$ , 2 $\frac{1}{4}$ , 45, 100}

{-10, -4, 0, 45, 100}

{-10, -4}

{0, 45, 100}

{ $\frac{1}{4}$ , 2 $\frac{1}{4}$ }

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

x > -32

x > -2

x > 2

x > 32

Study the triangle of odd numbers and use it to answer the question below.

13		b		c		19
	7		9		a
		3		5
			1

Evaluate: 13 + b + c + 19.

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

In an enlargement length AB = 3 cm and the length of its image A₁B₁ = 15 cm. Calculate the scale factor.

$\frac{1}{5}$

$\frac{2}{3}$

The Venn diagram shows the number of pupils who offer Mathematics (M) and/or English (E) in a class.

Use this information to answer the question below.

How many pupils offer only one subject?

10.

If u = $(\begin{matrix} 6 \\ 9 \end{matrix})$ and v = $(\begin{matrix} 4 \\ -5 \end{matrix})$ , find u + v.

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

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

$(\begin{matrix} 10 \\ -14 \end{matrix})$

$(\begin{matrix} 10 \\ 4 \end{matrix})$

11.

A bottle of soft drink costs ₵200.00. The commission paid on one bottle is 2% of the cost price. Find the commission paid on 24 bottles of the soft drink.

₵96.00

₵296.00

₵400.00

₵4,704.00

₵4,800.00

12.

A point P (3, 4) is rotated through an angle of 90° anticlockwise about the origin O.

Find the image P₁ of rotation

(3, -4)

(4, -3)

(-3, 4)

(-4, 3)

(-4, -3)

13.

Write 1101101_two in base ten

108

109

218

14.

Given that M={a,b,c} find the number of subsets of M

15.

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°

16.

Solve:

17.

Which of the following sets is well defined?

{Man, Kofi, Red, 14}

{Ink, Mango, Green, Nail}

{Car, Road, Glass, Book}

{Seth, Mary, Jacob, Evelyn}

18.

Simplify 3q x 12pq.

A. 15pq²

15p²q

36pq²

36p²q

19.

In the following figure below, triangle M′ON′ is an enlargement of triangle MON, with centre O.

Use this information to answer the question below

Find the scale factor of the enlargement

–2

–3

20.

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?

$\frac{1}{9}$

$\frac{1}{8}$

$\frac{1}{4}$

$\frac{19}{53}$

$\frac{19}{108}$

21.

If a * b = 2a – b, evaluate 4 * 3

22.

A tank contains 250 litres of water. If 96 litres are used, what percentage of the original quantity is left?

61.6%

60.5%

59.0%

54.2%

38.4%

23.

The point (4, 5) is translated to the point (3, 1). What is the translation vector?

$(\begin{matrix} -1 \\ 4 \end{matrix})$

$(\begin{matrix} 1 \\ 4 \end{matrix})$

$(\begin{matrix} 1 \\ -4 \end{matrix})$

$(\begin{matrix} -1 \\ -4 \end{matrix})$

24.

Which of these has the least number of lines of symmetry?

An equilateral triangle

A rectangle

A square

A circle

An isosceles triangle

25.

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

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

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

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

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

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

26.

Express 36 as a product of primes.

2 x 3

2² x 3²

2² x 3³

2³ x 3²

27.

A rectangular box has length 20 cm, width 6 cm and height 4 cm. Find how many cubes of size 2 cm that will fit into the box.

120

28.

A housing agent makes a commission of GH₵ 103,500 when he sells a house for GH₵ 690,000. Calculate the percentage of his commission.

15.0 %

10.0 %

7.5 %

5.0 %

29.

The following addition is done in base ten. What number represents abc?

	2	2	2
	3	4	3
	a	b	c
1	0	0	0

324

242

423

435

234

30.

If a number is selected at random from the table below, what is the probability that the number is 5?

Number	1	3	5	7	9
Frequency	25	15	8	10	2

$\frac{8}{25}$

$\frac{4}{25}$

$\frac{1}{12}$

$\frac{2}{15}$

$\frac{5}{8}$

31.

Arrange the following numbers from the lowest to the highest: 0.5, 3, -5, 0.

0, 0.5, -5, 3

0, -5, 0.5, 3

-5, 0, 0.5, 3

-5, 0.5, 0, 3

32.

Express 2700 as a product of prime numbers.

2² × 3² × 5²

2 × 3³ × 5²

2² × 3³ × 5²

2 × 3² × 5³

33.

Calculate the length of QR in triangle PQR

34.

If 13x – 12 = 5x + 60, find x

–9

–6

35.

The least number in a set of real numbers is 24 and the greatest is 30. Which of the following is the correct interpretation of the statement?

24 ≤ x ≤ 30

24 < x < 29

23 < x < 29

24 < x < 30

23 ≤ x ≤ 29

36.

In the diagram, set Q has 30 members and set T has 25 members. Q ∩ T has 10 members.

Find the number of members of Q U T

37.

Adjoa travelled 12km due north and 5km due east. How much far was she from her starting point?

60km

17km

13km

7km

38.

The locus of points equidistant from a fixed point is called a

chord.

circle.

mediator.

diameter.

39.

Given that (23 × 82) × 79 = 148,994, find the exact value of (2.3 × 82) × 7.9

14.8994

148.994

1489.94

14899.4

148994.0

40.

Express 57_ten as a base two (binary) numeral.

101011_two

100111_two

11010_two

110111_two

111001_two

THEORY QUESTIONS

Using a rule and a pair of compasses only, construct:

a triangle ABC with |BC| = 9 cm, |AC| = 8 cm and |AB| = 6 cm;

the perpendicular bisector of line BC;

iii

the bisector of angle ACB.

Label the point of intersection of the two bisectors as Y.

Draw a line to join B and Y.

Measure:

|BY|;

|YC|;

iii

the base angles of triangle BYC.

What type of triangle is BYC?

If 11y = (18)²-(15)², find the value of y.

Find the perimeter of a circle with radius 35 cm. (Take π = 22⁄7)

Given that

make r the subject of the relation

ii)

find the value of r when s = 117, m = 2 and n = -3.

(a)

Mr. Jones used 173 units of electricity last month. If the charge for the first 110 units was ₵150 per unit and ₵200 per unit for the rest, calculate the total bill for Mr. Jones.

(b)

Express 4 hours in seconds leaving your answer in standard form.

(c)

Given the vectors r = $(\begin{matrix} 3 \\ -5 \end{matrix})$ and p = $(\begin{matrix} -7 \\ -9 \end{matrix})$ and q = 2p - r, find q.

(a)

Copy and complete the table for the relation y = $\frac{x}{20}$ , where y is the cost(in Ghana cedis) and x is the weight (in grammes) of rice sold in a market.

x (weight in grammes)	50	100	150	200	250	300
y (cost in GH₵)		5.00			12.50

(b)

(i)

On a graph sheet, draw two perpendicular axes OX and OY.

(ii)

Using a scale of 2 cm to 50 grammes on the x-axis and 2 cm to GH₵ 2.00 on the y-axis draw the graph of the relation y = $\frac{x}{20}$ .

(c)

Using the graph, find

(i)

the cost of 175 grammes of rice;

(ii)

the weight of rice that can be bought with GH₵ 14.00

The diagram above is a plane figure made up of a rectangle of sides 50 cm by 28 cm and an equilateral triangle of height 24.25 cm. A circle is cut out of the rectangle as shown. If the circle touches three sides of the triangle,

Calculate

(a)

the perimeter of the figure;

(b)

the area of the remaining portion of the figure.

[Take π = $\frac{22}{7}$ ]

(a)

A fair die and a fair coin are thrown together once.

(i)

Write down the set of all possible outcomes.

(ii)

Find the probability of obtaining a prime number and a tail.

(b)

The map of a field is drawn to a scale of 1 : 100. If the width and area of the field on the map are 8 cm and 88 cm² respectively, find in m², the area of the actual field.

(c)

Copy and complete the 3 x 3 magic square such that the sum of the numbers in each row, column and diagonal is equal to 21.

10	3
	7