OBJECTIVE TEST

Convert 134_five to a base ten numeral

220

Divide 64.5 by 0.015, leaving the answer in standard form.

4.3 x 10⁴

4.3 x 10³

4.3 x 10²

4.3 x 10

Find the rule for the mapping:

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	4	2	0	-2	-4

y = 2x + 2

y = -2x + 2

y = 4x

y = -2x + 6

Find in base ten the value of 4 in 143_five.

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.

Find the total number of goals scored by the team.

Given that a = $(\begin{matrix} 5 \\ 2n \end{matrix})$ and b = $(\begin{matrix} 2n -1 \\ 6 \end{matrix})$ .

If a = b, find the value of n.

Kofi had 100 mangoes and sold 80 of them. What is the percentage of mangoes left?

12.5%

18%

20%

25%

Arrange the following from the highest to the lowest: $\frac{2}{3}$ , -9, $\frac{3}{5}$ and 0.

-9, $\frac{3}{5}$ , $\frac{2}{3}$

-9, 0, $\frac{3}{5}$ , $\frac{2}{3}$

$\frac{3}{5}$ , $\frac{2}{3}$ , 0, -9

$\frac{3}{5}$ , $\frac{2}{3}$ , -9, 0

$\frac{2}{3}$ , $\frac{3}{5}$ , 0, -9

Solve for x in the equation 15 – 2x = 6

–10.5

–4.5

4.5

10.5

10.

Using the following mapping, find the missing numbers p and q.

x	1	2	3	4	5	6
↓	↓	↓	↓	↓	↓	↓
y	3	5	p	9	11	q

p = 6, q = 12

p = 6, q = 13

p = 7, q = 12

p = 7, q = 13

11.

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

3¹

3²

3⁵

3⁶

3¹³

12.

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

13.

Which of the following numbers is an integer?

- $\frac{5}{4}$

- $\frac{2}{3}$

0.5

14.

Write 2340000 in standard form.

2.34 x 10^-6

2.34 x 10^-5

2.34 x 10⁶

2.34 x 10⁷

15.

If $(\begin{matrix} 4 \\ 11 \end{matrix})$ = $(\begin{matrix} x - 3 \\ 11 \end{matrix})$ , find the value of x.

-1

16.

If y : 28 = 5 : 7, find y.

31.2

37.5

17.

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

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

Find the median number.

18.

Find the image of the point (2,5) under the transformation $(\begin{matrix} x \\ y \end{matrix})$ → $(\begin{matrix} x \\ 2 - y \end{matrix})$ .

(2,-3)

(2,2)

(2,3)

(2,7)

19.

Convert 11001_two to a decimal numeral.

20.

Find the image of 5, under the mapping x → 4x - 7.

21.

Express 24 as a product of prime factors.

2 × 3

2² × 3

2³ × 3

2² × 3²

2² × 3³

22.

Simplify 2⁹ ÷ 2³

2³

2⁶

2¹²

2²⁷

23.

Which of the fractions $\frac{13}{20}$ , $\frac{3}{5}$ , $\frac{3}{4}$ and $\frac{7}{10}$ is greatest?

$\frac{3}{5}$

$\frac{3}{4}$

$\frac{7}{10}$

$\frac{13}{20}$

24.

The point Q(-2,3) is rotated anticlockwise about the origin through an angle of 90^o. Find the coordinates of its image.

(-3,-2)

(-3,2)

(3,-2)

(3,2)

25.

Simplify $(\begin{matrix} -3 \\ 5 \end{matrix})$ + $(\begin{matrix} 2 \\ -7 \end{matrix})$

$(\begin{matrix} -1 \\ 2 \end{matrix})$

$(\begin{matrix} -5 \\ 12 \end{matrix})$

$(\begin{matrix} -1 \\ -2 \end{matrix})$

$(\begin{matrix} -5 \\ -12 \end{matrix})$

26.

Find the gradient of the line that joins the points A(-3,5) and B(7,-2).

27.

In the diagram, Q is the set of numbers inside the circle and T is the set of numbers inside the triangle. Find Q U T.

{5}

{6, 7}

{3, 4, 5}

{5, 6, 7}

{3, 4, 5, 6, 7}

28.

The point S(4, 3) is reflected in the y-axis, Find the coordinates of the image of S.

(-3,4)

(4,-3)

(3,-4)

(-4,3)

29.

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.

What is the mean age?

3.0

3.5

4.0

4.5

5.0

30.

Calculate the bearing of town P from town K in the diagram below.

005°

085°

095°

265°

275°

31.

The dimensions of the rectangle are given in base two. Find its perimeter.

100_two cm

101_two cm

110_two cm

1001_two cm

1010_two cm

32.

How many lines of symmetry has a rhombus?

33.

In an enlargement, XY → X₁Y₁.

If |XY| = 24 cm and |X₁Y₁| = 8 cm, calculate the scale factor of the enlargement.

$\frac{1}{32}$

$\frac{1}{24}$

$\frac{1}{8}$

$\frac{1}{3}$

34.

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)°

35.

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

36.

Illustrate 3 < x < 5 on the number line, where x ∈ {rational numbers}.

37.

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

Use this information to answer the question below.

How many pupils study only Government?

38.

A tank in the form of a cuboid has length 6 m and breadth 4 m. If the volume of the tank is 36 m³, find the height.

0.67 m

1.5 m

1.8 m

5.0 m

39.

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

40.

Which of the following can be made from the net below?

Triangular prism

Square pyramid

Triangular pyramid

Cuboid

THEORY QUESTIONS

The following is the result of a survey conducted in a class of a junior secondary school to find the favourite soft drink of each pupil in the class.

Soft Drink	Number of pupils preferring soft drink
Coca-cola	6
Pepsi-cola	5
Pee-cola	8
Fanta	3
Muscatella	5
Mirinda	4
Club-cola	6
Sprite	3

(a)

Draw a bar chart showing this information, using a scale of 2 cm to 1 unit on the vertical axis.

(b)

How many pupils are in the class?

(c)

What is the percentage of pupils who prefer Club-cola?

Copy and complete the table for the relation y = 12x - 9

x	-2	-1	0	1	2	3	4	5
y			-9				39

Using a scale of 2 cm to 1 unit on the x - axis to 10 units in the y - axis, draw on a graph sheet two perpendicular axes ox and oy.

ii)

Using the table, plot all the points of the relation y = 12x - 9 on the graph.

iii)

Draw a straight line through the points.

iv)

Use the graph to find:

(α) y when x = 2.5;

(β) x when y = 10.

List the integers within the interval 7 < x ≤ 14

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)

Simplify $\frac{2a + 4b}{3}$ - $\frac{3(a - b)}{2}$

(b)

Solve 5(a – 5) – $\frac{1}{2}$ (2a + 6) = 4

(c)

If r = $(\begin{matrix} 3 \\ 1 \end{matrix})$ and q = $(\begin{matrix} -2 \\ 1 \end{matrix})$ , calculate 6(r + 2q).

(a)

Evaluate $\frac{4000 x 0.35}{0.05}$ , leaving the answer in standard form.

(b)

Mr Boakye gets 10% commission on type P house he sells and 15% on type Q house.

He sells 3 type P houses at GH₵ 700,000.00 each and 4 type Q at GH₵ 1,400,000.00 each.

Calculate the total commissions he makes.

Given that X = {whole numbers from 4 to 13} and Y = {multiples of 3 between 2 and 20}, find X ∩ Y.

Find the Least Common Multiple (L.C.M) of the following numbers: 3,5 and 9.

, find the value of