OBJECTIVE TEST

What percentage of 5 is 0.25?

20%

25%

J = $\frac{1}{2}$ mv², If v = 4 and J = 12, find m

1.5

3.0

3.6

6.3

Arrange the following fractions in ascending order: $\frac{5}{8}$ , $\frac{11}{20}$ , $\frac{7}{10}$ .

$\frac{5}{8}$ , $\frac{11}{20}$ , $\frac{7}{10}$

$\frac{7}{10}$ , $\frac{5}{8}$ , $\frac{11}{20}$

$\frac{11}{20}$ , $\frac{5}{8}$ , $\frac{7}{10}$

$\frac{5}{8}$ , $\frac{7}{10}$ , $\frac{11}{20}$

The scores of 10 students in an examination are given as follows: 45, 12, 75, 81, 54, 51, 24, 67, 19 and 39. What is the median of the scores?

Find x, if $\frac{1}{x}$ + $\frac{1}{3}$ = 1

- $\frac{3}{2}$

- $\frac{2}{3}$

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{3}{2}$

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

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

Simplify: 7a – 3(b – a)

4a – 3b

6a – 3b

8a – 3b

10a – 3b

10a + 3b

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

–10.5

–9.0

–4.5

4.5

10.5

10.

Which of the following inequalities is represented on the number line?

-2>y>2

-2≤ y < 2

-2 ≥ y > 2

-2 < y ≤ 2

11.

Find the median of the numbers 17,12,15,16,8,18,13 and 14.

14.5

15.5

12.

Expand (2a + b) (a + 2b)

2a² + 2b²

2a² + b²

5a² + 2a²

2a² + 2a + 4ab²

2a² + 5ab + 2b²

13.

How many lines of symmetry has a square?

14.

Given that 1 kilometre = $\frac{5}{8}$ mile, what is 240 miles in kilometres?

150 km

190 km

384 km

390 km

15.

Expand (a + 2b)(a - 2b)

a² - 4ab - 4b²

a² + 4ab - 4b²

a² - 4b²

a² + 4b²

16.

The diagram shows the conversion graph for miles and kilometres.

Use it to answer the question below

Express 4 kilometres in miles.

6.4

3.5

2.5

17.

Simplify 35x⁵y³ ÷ 7xy²

5x⁴y

5x⁴y⁵

5x⁶y

5x⁶y⁵

18.

Find the vector which translate the point (2,6) to (5,4).

$(\begin{matrix} -3 \\ 2 \end{matrix})$

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

$(\begin{matrix} 3 \\ -2 \end{matrix})$

$(\begin{matrix} 7 \\ 10 \end{matrix})$

19.

From the diagram below, calculate the bearing of point X from Y.

035°

045°

135°

145°

225°

20.

Given that 0.03 x y = 2.4, find the value of y.

0.08

0.8

8.0

80.0

21.

Which of the following sets is well defined?

{Man, Kofi, Red, 14}

{Ink, Mango, Green, Nail}

{Car, Road, Glass, Book}

{Seth, Mary, Jacob, Evelyn}

22.

Which of the following polygons does not have a line of symmetry?

Kite

Isosceles triangle

Trapezium

Rhombus

23.

Which of the following is equivalent to 2² × 6²

2 × 3⁴

2² × 3²

2² × 3⁴

2⁴ × 3

2⁴ × 3²

24.

In the diagram, ∠ QPR = 30° and |QR| = 5 cm.

[Take sin 30° = $\frac{1}{2}$ ].

Find the length of PQ.

2.5 cm

5.0 cm

12.0 cm

10.0 cm

25.

If the set P = {1, 2, 3, 4, 5} which of the following statements best describes P?

Set of whole numbers up to 6

Set of counting numbers less than 6

Set of counting numbers greater than 6

Set of integers less than 6

26.

In the diagram, P and Q are two sets and U is the universal set.

Use the information to answer the question below

Find P ∩ Q.

{c, d, e}

{a, b}

{c, b, c, d, e}

{f, g, h}

27.

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

Straight angle

Obtuse angle

Acute angle

Right angle

28.

Find the median of the following numbers: 1, -1, -5, 3 and -4

–1

–4

–5

29.

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

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{1}{5}$

30.

A story book contains 50 pages. If a student reads 10 pages per hour, find the relationship between the number of unread pages (N) and time (t).

N = 10t + 50

N = -10t + 50

N = - $\frac{1}{10}$ t + 5

N = 10t - 50

31.

A shop is rented at GH₵ 9.00 per month. How much money is paid in 1½ years?

GH₵ 162.00

GH₵ 135.00

GH₵ 6.00

GH₵ 13.00

32.

If F = $\frac{9}{5}$ C + 32, find F when C = 40.

78.4

104

129.6

33.

Find the highest(greatest) common factor of 35 and 70.

34.

Evaluate $\frac{37}{100}$ x $\frac{7}{10}$

0.259

2.590

25.900

259.000

35.

In the diagram below, AB and CD are two intersecting straight lines. Find the value of the angle marked y.

130^o

115^o

65^o

60^o

36.

The perimeter of an isosceles triangle is 45 cm. Find the length of the third side, if each of the equal sizes is 14 cm long.

11 cm

14 cm

17 cm

31 cm

37.

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

x ≤ 10

x ≥ 10

x ≤ 40

x ≥ 40

38.

The rule of mapping is x → 2x² - 1. What number does x = 2 map to?

39.

Express 7352.4658 correct to three significant figures.

7352465.8

7352.47

7350

735

40.

The diagram below shows a circle with centre O, S and T are points on the circle.

Use it to answer the question below

The line ST is called

an arc

a chord

a diameter

a radius

a segment

THEORY QUESTIONS

(a)

The diagram AEBCD shows the shape of Mr. Awuah's garden, which is made up of a rectangular portion ABCD and a triangular portion AEB.

|AB| = |DC| = 90 m, |AD| = |BC| = 70 m, |AE| = 48.5 m and |EB| = 50 m. The height of the triangle is 20 m.

Find

(i)

area of ABCD;

(ii)

area of AEB;

(iii)

total area of the garden;

(iv)

perimeter of the garden.

(b)

Find the value of x if $\frac{3x - 2}{5}$ is greater than $\frac{1 - 4x}{10}$ by 5

(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

Solve the inequality

and

represent the answer on a number line.

Given that

and

find 2t + k

The sides of a triangle are in the ratio 6: 8 : 10. If the perimeter of the triangle is 288 cm, find the:

longest side

ii)

shortest side

iii)

difference between the longest and shortest sides.

(a)

Using a scale of 2 cm to 1 unit on both axes, draw on a graph sheet two perpendicular axes 0x and 0y for -5 ≤ x ≤ 5 and -5 ≤ y ≤ 5.

(i)

Plot, indicating the coordinates of all points P(1,1), Q(1,2),R(2,2) and S(2,1) on the graph sheet. Join the points to form square PQRS.

(ii)

Draw and indicate clearly all coordinates, the image P₁Q₁R₁S₁ of square PQRS under an enlargement from the origin with a scale factor of 2, where P → P₁,Q → Q₁, R → R₁ and S → S₁.

(iii)

Draw and indicate clearly all coordinates, the image P₂Q₂R₂S₂ of square P₁Q₁R₁S₁ under a reflection in the x-axis where P₁ → P₂,Q₁ → Q₂, R₁ → R₂ and S₁ → S₂.

(b)

Using the graph in (a), find the gradient of line R₂S.

(a)

Solve $\frac{4x - 3}{2}$ = $\frac{8x - 10}{8}$ + 2 $\frac{3}{4}$

(b)

Using a scale of 2 cm to 1 unit on both axes, draw two perpendicular lines OX and OY on a graph sheet for the x-axis from -5 to 5 and the y-axis from -6 to 6.

(i)

Plot the points A(2, 3) and B(-3, 4) and join them with a long straight line.

(ii)

Plot on the same graph sheet, the points C(4, 2) and D(-2, -3) and join them with a long straight line to meet the line through AB.

(iii)

Measure the angle between the lines through AB and CD.

(iv)

Find the coordinates of the point at which the lines through AB and CD meet.

(a)

Factorize completely 3a² + 2ab – 12ac – 8bc

(b)

Solve $\frac{x}{4}$ + $\frac{3}{5}$ = $\frac{3x}{2}$ - 2

(c)

Find the solution set of x + 3 > 19 – 3x, where x is a real number.

Illustrate your answer on the number line.