OBJECTIVE TEST

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 median age?

2.0

3.0

3.5

4.0

5.0

How many faces has a rectangular pyramid?

Find the L.C.M of 10, 15 and 25.

120

150

300

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.

Find the set of missing numbers on the number line above.

{-21, -6, 11}

{-21, -10, 11}

{-25, -6, 15}

{-25, -10, 15}

Express 5 as a percentage of 4.

125%

120%

25%

20%

The pie chart is to be drawn from the data in the following table:

Cassava	20%
Yam	17%
Plantain	28%
Maize	35%

What will be the value of the angle of the sector for maize?

126.0 ^o

100.8 ^o

72.0 ^o

61.2 ^o

What percentage of 5 is 0.25?

20%

25%

If P = {multiples of 4 less than 16}, find P.

{4,8,10}

{4,8,12}

{1,4,8,12}

{4,8,12,16}

10.

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

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{1}{5}$

11.

Given that

, find the value of p.

12.

Round 8921465 to the nearest hundred.

8921000

8921400

8921460

8921500

13.

In the diagram, P→P¹, Q→Q¹, R→R¹, where P¹Q¹R¹ is an enlargement.

If |PR| = 3.6 m, what is |P¹R¹|?

–7.2 m

–1.8 m

1.2 m

1.8 m

7.2 m

14.

Simplify -4(3-5)+10-3(7+4)+30.

-1

15.

The next term in the sequence 3, 6, 12, 24, ...

16.

If $\frac{9}{21}$ is equivalent to $\frac{1 + x}{7}$ , find the value of x.

17.

If P = {2,3,4,6,8} and Q = {1,2,3,4}, find P∩Q.

{2,3,4}

{7,9,10}

{2,3,4,6,8}

{1,2,3,4,6,8}

18.

Find the rule for the following mapping:

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	1	4	9	16	25

y → x + 2

y → 2x

y → x²

y → 2x + 2

19.

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 $\frac{13}{24}$

20.

Use the figure below to answer the question below.

What is the value of f?

10°

20°

40°

80°

21.

Solve 4x – 6 < -2

x < 1

x > 1

x < -1

x > -1

x < 4

22.

Calculate, correct to two decimal places, 0.61 ÷ 0.8

0.07

0.08

0.76

0.83

7.62

23.

The product of three numbers is 1197. Two of the numbers are 3 and 21. Find the third number.

399

1134

24.

Simplify: (2ab²)² x 3a³b.

6a⁴b⁵

12a³b⁴

12a⁶b⁴

12a⁵b⁵

25.

What is the mode of the following numbers: 4, 5, 3, 3, 4, 2, 7, 6, 5, 4, 4, 1?

26.

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

a - 3

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

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

a + 3b

a - b

27.

In the diagram below, ACD is an isosceles triangle in which |AD| = |AC| and DC is parallel to BE, find the value of the angle marked x.

55°

62.5°

110°

117.5°

125°

28.

Solve 25x + 450 ≤ 3000.

x ≥ 102

x ≤ 102

x ≥ 138

x ≤ 138

29.

Eighteen cards are numbered from 11 to 29. If one card is chosen at random, what is the probability that it contains the digit 2?

$\frac{3}{9}$

$\frac{7}{18}$

$\frac{5}{9}$

$\frac{11}{19}$

30.

The image of P(10, -3) when translated by the vector r is P’ (4, 5). Find r.

31.

If 21:2x = 7:12, find the value of x.

32.

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

What is the modal mark?

33.

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 y

–1

–3

-5

34.

Prices of items in a shop were reduced by 10% during a reduction sale. If a customer bought an electric fan for ₵81,000.00, what was its original price?

₵72,900.00

₵73,900.00

₵89,100.00

₵90,000.00

35.

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 %

36.

The length of a rectangular fence is 25 m. The ratio of the length to the width is 5:3. Find the width of the rectangular fence.

9 m

13 m

15 m

16 m

37.

Esi bought a television set for GH₵ 1,500.00. If she sold it at a profit of 20%, find the selling price.

GH₵ 1,200.00

GH₵ 1,500.00

GH₵ 1,750.00

GH₵ 1,800.00

38.

Factorize completely xy - xm - my + m².

(m-y)(x-m)

(x-m)(y-m)

(m-y)(m-x)

(y-m)(m-x)

39.

In the diagram, ∆STR is the enlargement of ∆PQR. If |TQ| = 8 cm, |QR| = 4 cm and |PQ| = 2.4 cm, find |ST|.

4.8 cm

7.2 cm

8.4 cm

9.6 cm

40.

A car uses 150 litres of petrol in 45 mins. How many litres of petrol will it use in 1 hour?

375 litres

230 litres

225 litres

200 litres

THEORY QUESTIONS

Using a ruler and a pair of compasses only,

(a)

Construct triangle ABC such that |AB| = 6 cm, |AC| = 10cm and |BC| = 8 cm. Measure angle ABC.

(b)

Construct the perpendicular bisectors (mediators) of |AB| and |BC|. Let the bisectors meet at O.

(c)

Construct a circle with centre O and radius OA. Measure the radius of the circle.

Simplify

, leaving the answer in standard form.

Make r the subject of the relation

ii)

From (b)(i), find the value of r when y = 3 and x = 10.

Juliet bought 1,756 kg of frozen chicken, 675 g of vegetables and 95 g of corn oil from a Shopping Mall. What is the total weight of the items she bought in kilogram?

Using a ruler and a pair of compasses only,

(a)

construct the triangle XYZ, in which |YZ| = 6 cm, angle XYZ = 60° and |XZ| = 9 cm. Measure |XY|

(b)

(i)

construct the mediator of YZ.

(ii)

draw a circle, centre X and radius 5 cm. Measure |YA|, where A is the point of intersection of the mediator and the circle in the triangular region XYZ

(a)

Copy and complete the table for the relation y = 5 - 2x for -3 ≤ x ≤ 4.

x	-3	-2	-1	0	1	2	3	4
y	11			5		1		-3

(b)

Using a scale of 2 cm to 1 unit on th x-axis and 2 cm to 2 units on the y-axis, draw on a graph sheet two perpendicular axes ox and oy for -5 ≤ x ≤ 5 and -12 ≤ y ≤ 12.

(c)

(i)

Using the table, plot all the points of the relation y = 5 - 2x.

(ii)

Draw a straight line through all the points.

(d)

Using the graph, find the:

(i)

value of y when x = -2.6;

(ii)

value of x when y = -2.8;

(iii)

gradient of the line.

(a)

P = {Factors of 30}
Q = {Multiples of 5 less than 40}

Find P ∩ Q

(b)

A trader saved GH₵200.00 for 3 years at 12% simple interest per annum. What will be the total amount in the trader's account at the end of the 3 years?

(c)

Evaluate $\frac{4.56 x 3.6}{0.12}$ and leave your answer in standard form.

In a class of 30 girls, 17 play football, 12 play hockey and 4 play both games.

Draw a Venn diagram to illustrate the given information.

How many girls play:

one or two of the games;

none of the two games?

In the diagram, ABCD is a circle of radius 14 cm and centre O. Line BO is perpendicular to line AC. Calculate, the total area of the shaded portions.

[Take π = $\frac{22}{7}$ ]