OBJECTIVE TEST

The distance from the centre of a circle to any point on it is called

circumference.

diameter.

radius.

sector.

Which of the following inequalities is shown on the number line above, where p is a real number?

p ≥ 2

p > 2

p = 2

p ≤ 2

p < 2

A trader sold a radio set for GH₵ 72.00 making a profit of 8%. Find, correct to the nearest Ghana cedi, the cost of the radio set.

GH₵ 66.00

GH₵ 67.00

GH₵ 77.00

GH₵ 78.00

Expand (2x + y)(2x - y).

2x² - y²

4x² - y²

2x² + 4xy - y²

4x² + 4xy - y²

Evaluate $\frac{1}{3}$ [(5 – 1) – (2 – 7)]

-3

-1

How many lines of symmetry does a rectangle have?

Factorize completely the expression 2xy – 6y + 7x – 21

(x – 3)(2y + 7)

(x + 3)(2y – 7)

(y – 3) (2x +7)

(y + 3) (2x – 7)

Find the interest on GH₵ 400.00 for 2 years at 10% simple interest per annum.

GH₵ 8.00

GH₵ 40.00

GH₵ 80.00

GH₵ 60.00

Ama covered a distance of 100m in 12 seconds. Express her speed in kilometres per hour.

5km/h

10 km/h

20 km/h

30 km/h

10.

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.

11.

What is the place value of 7 in 24.376?

Unit

Ten

Tenth

Hundredth

12.

Evaluate (3m)² - 3m², when m = 2.

13.

Given the vectors m = $(\begin{matrix} 5 \\ -1 \end{matrix})$ and n = $(\begin{matrix} -4 \\ 2 \end{matrix})$ , find 2m + n.

$(\begin{matrix} 6 \\ 0 \end{matrix})$

$(\begin{matrix} -6 \\ 0 \end{matrix})$

$(\begin{matrix} 0 \\ 6 \end{matrix})$

$(\begin{matrix} 0 \\ -6 \end{matrix})$

14.

A football match starts at 2.20 p.m. and lasts for 1 hour 50 minutes. At what time will the game end?

3.10 p.m.

4.10 p.m.

5.10 p.m.

6.10 p.m.

15.

Mansah obtained 150 marks out of 240 marks in an English test. What was her percentage score?

33.33%

37.5%

41.67%

62.5%

79.1%

16.

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

17.

A pineapple which was bought for GH₵1.00 was sold at GH₵1.30. Calculate the profit percent.

10%

20%

23%

30%

18.

Simplify: 14 $\frac{1}{3}$ - 2 $\frac{3}{8}$ + 5 $\frac{7}{12}$

6 $\frac{3}{8}$

7 $\frac{5}{12}$

17 $\frac{5}{12}$

17 $\frac{13}{24}$

19.

Given that x = 4, y = 7, evaluate 2xy + 3(x+y)

109

20.

Find 2 $\frac{1}{2}$ % of ₵2,000.00

₵40.00

₵50.00

₵100.00

₵800.00

₵5,000.00

21.

The hypotenuse and a side of a right-angled triangle are 13 cm and 5 cm respectively. Find the length of the third side.

8 cm

9 cm

12 cm

17 cm

22.

Find the next two numbers in the sequence 2, 5, 9, 14, 20, _ , _ .

26, 34

26, 35

27, 34

27, 35

23.

Two sides of a parallelogram are 5.8 m and 8.2 m long. Find its perimeter

11.0 m

36.6 m

28.0 m

47.6 m

24.

Kofi is two years older than Ama. If the sum of their ages is 16, find Ama's age.

7 years

9 years

14 years

18 years

25.

Arrange the following fractions from the lowest to the highest:

¼ , ⅗ , ⅔

⅔ , ¼ , ⅗

⅔ , ⅗ , ¼

⅗ , ¼ , ⅔

26.

Simplify: $\frac{1}{3} (\frac{1}{2} - \frac{1}{3}) - \frac{1}{3} (\frac{1}{3} - \frac{1}{2})$

- $\frac{1}{9}$

- $\frac{1}{18}$

$\frac{1}{18}$

$\frac{1}{9}$

27.

A car travels 36 kilometres in an hour. Find its speed in metres per second.

10 ms^-1

100 ms^-1

20 ms^-1

200 ms^-1

28.

In the diagram below, P is the set of numbers in the circle and Q is the set of numbers in the triangle.

What is P ∩ Q?

{1, 2, 4}

{5, 6}

{7}

{1, 2, 4, 5, 6, 7}

{ }

29.

A rod 200 cm long is broken into two parts. The shorter part is one-quarter of the length of the rod. Express the shorter part as a percentage of the longer part.

25%

30%

33.33%

66.67%

30.

Kojo, Ebo and Ama share ₵14,000.00 among themselves. Kojo had twice as much as Ebo and Ebo also had twice as much as Ama. How much did Ebo get?

₵8,000.00

₵6,000.00

₵4,000.00

₵3,000.00

₵2,000.00

31.

If a⁶ ÷ a⁴ = 64. Find a

32.

If p x q x r = 1197, and p = 19, q = 3, find r.

33.

Simplify: (46 x 102) + (102 x 54)

1,020

10,200

102,000

1,020,000

34.

The area of a square is 49 cm² . Find the perimeter of the square.

7 cm

14 cm

28 cm

49 cm

196 cm

35.

Expand (6 – x)(6 + y)

36 – 6x + 6y – xy

36 – 6x – 6y + xy

36 – 6x – xy

36 + 6y – xy

36.

The stem and leaf plot shows the marks scored by students in a French test. Use the information to answer the question below.

Stem	Leaf
2	0 2 5 7 8
3	2 7 9
4	3 5 5 5
5	4 6 6 8
6	3 5 7
7	0 6

How many students took the test?

37.

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

Use it to answer the question below

What name is given to the shaded region?

sector

segment

radii

arc

cone

38.

Find the image of the point S(-2,2) when it is reflected in the y-axis.

(2,-2)

(2,2)

(-2,-2)

(-2,2)

39.

What is the value of four in the number 7073.48?

four tenth

four

forty

four hundred

40.

The point K(3, 4) is rotated through 180° about the origin. Find its image.

(-3, 4)

(-4, 3)

(-3, -4)

(3, -4)

THEORY QUESTIONS

The following table gives the distribution of sales of soft drinks sold by the Jatokrom JSS canteen in one week.

Soft Drink	No. of Bottles Sold
Fanta	13
Pepsi Cola	21
Mirinda	14
Coca-cola	17
Sprite	7

Draw a pie chart to illustrate the sales.

(a)

In an examination, 50 candiates sat for either Mathematics or English Language.

60% passed in Mathematics and 48% passed in English Language. If each candiate passed in at least one of the subjects, how many candidates passed in:

(i)

Mathematics?

(ii)

English Language?

(b)

Illustrate the information given in (a) on a Venn diagram.

(c)

Using the Venn diagram, find the number of candidates who passed in:

(i)

both subjects;

(ii)

Mathematics only.

(d)

If a = $(\begin{matrix} 4 \\ -5 \end{matrix})$ and b = $(\begin{matrix} 2x \\ 3+y \end{matrix})$ are equal vectors, find the values of x and y.

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

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.

Plot, indicating the coordinates of all perpendicular points A(2,3) and B(-3,4). Draw a straight line passing through the points A and B.

Plot on the same graph sheet, indicating the coordinates of the points C(4,2) and D(-2,-3). Draw a straight line passing through the points to meet line AB.

Using the graphs in (a):

find the values of y when x = -2;

measure the angle between the lines AB and CD.

ξ = {1, 2, 3, 4, ...,18}
A = {Prime numbers}
B= {Odd numbers greater than 3}

(a)

If A and B are subsets of the Universal set, ξ, list the members of A and B.

(b)

Find the set

(i)

A ∩ B;

(ii)

A ∪ B.

(c)

(i)

Illustrate ξ, A and B on a Venn diagram.

(ii)

Shade the region for prime factors of 18 on the Venn diagram.

(a)

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

(i)

triangle XYZ with |XY| = 9 cm,
|YZ| = 12 cm and |XZ| = 8 cm.

(ii)

the perpendicular bisector of line XY.

(iii)

the perpendicular bisector of line XZ.

(b)

(i)

Label the point of intersection of the two bisectors as T;

(ii)

With point T as center, draw a circle of radius 6 cm.

(c)

Measure:

(i)

|TX|;

(ii)

angle XYZ.