OBJECTIVE TEST

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 $\frac{13}{24}$

The pie chart shows the distribution of programmes offered by 720 students at Kofikrom.

Use this information to answer the question below.

Find the value of the angle marked y.

90°

100°

110°

120°

Convert 84 to a base five numeral.

4130_five

3014_five

314_five

114_five

The scale of a map is 1 : 100,000. What is the distance (in km) between two towns 4 cm apart on the map?

0.04

0.4

4.0

400

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

- $\frac{1}{9}$

- $\frac{1}{18}$

$\frac{1}{18}$

$\frac{1}{9}$

Find the gradient of the straight line which passes through the points (-3,4) and (3,-2).

-2

-1

Kwame, Atsu and Kojo shared a profit of ₵500,000.00 in the ratio 1 : 4 : 3 respectively. How much did Atsu get?

₵62,500.00

₵125,000.00

₵187,500.00

₵250,000.00

₵312,500.00

At what rate of simple interest will ₵5,000.00 amount to ₵7,500 if saved for 5 years?

6 $\frac{2}{3}$ %

7 $\frac{1}{2}$ %

10%

12 $\frac{1}{2}$ %

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.

If a child is picked at random, what is the probability that he is 5 years old?

$\frac{2}{9}$

$\frac{1}{3}$

$\frac{4}{9}$

$\frac{5}{9}$

$\frac{2}{3}$

10.

Write 17_ten in base two numeral.

1001

10001

11001

11011

11.

Find the area of a circle whose diameter is 7 cm.

[Take π = $\frac{22}{7}$ ]

11 cm²

38 $\frac{1}{2}$ cm²

44 $\frac{1}{2}$ cm²

54 cm²

12.

Find the volume of a cube of side 5 cm.

10 cm³

15 cm³

25 cm³

125 cm³

13.

When a number is doubled and the result is decreased by 9, the answer is 19. Find the number.

14.

Use the identity a² – b² = (a + b)(a – b) to evaluate 83² - 17²

660

6,600

7,178

7,600

8,317

15.

Simplify $\frac{0.24 x 14.3}{5.2}$

6.60

0.70

0.66

0.60

16.

Use the diagram below to answer the question below.

Angles NTZ and QZT are

alternate angles.

corresponding angles

complementary angles

supplementary angles

17.

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

18.

In the diagrams above Fig. I is an enlargement of Fig. II. Find the side EF of Fig. II.

20 cm

5 cm

4 cm

3 cm

19.

The area of a trapezium is 36 cm². If the parallel sides are 10.5 cm and 9.5 cm, calculate the distance between the two parallel sides.

1.0 cm

1.8 cm

3.2 cm

3.6 cm

20.

Express 87_ten as a base five numeral.

302_five

322_five

3022_five

3202_five

21.

Find the area of the parallelogram PQRS

20 cm²

21 cm²

48 cm²

60 cm²

240 cm²

22.

Solve the inequality: $\frac{1}{2}$ (3x - 1) + 1 ≤ 7 + 2x.

x ≥ -14

x ≤ -14

x ≥ -13

x ≤ -13

23.

What is the rule for the following mapping?

x	0	1	2	3	4
↓	↓	↓	↓	↓	↓
y	5	9	13	17	21

y = x + 5

y = 4x + 5

y = 5x + 4

y = 6x + 1

24.

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

25.

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

26.

A man travelled a distance of 1.5 km in 30 minutes. What distance can he cover in 50 minutes, travelling at the same speed?

2.2 km

2.5 km

2.8 km

3.2 km

27.

The table below shows the ages of children at a birthday party.

Ages(years)	No. of Children
1	3
2	4
3	2
4	5
5	4
6	4
7	6
8	4
9	2
10	1

Use this table to answer the question below.

How many children are 7 or more years old?

28.

Given that 1 : 3 = x : 21, find the value of x.

29.

Factorize 22ab – 11ac + 6rb – 3rc.

(2b – c) (11a + 3r)

(2b + c) (11a – 3r)

(2b – c) (11a – 3r)

(2b + c) (11a + 3r)

30.

Find the Least Common Multiple (L.C.M) of 2, 3 and 5.

31.

M = {1, 2, 3, 8, 10} and N = {8, 1, x, 3, 2}.

If M is equal to N, what is the value of x?

32.

Solve the inequality: 7x - (10x + 3) ≥ -9

x ≥ 2

x ≤ 4

x ≥ 4

x ≤ 2

33.

Simplify 6(7a + 4) - 3(8a + 9)

18a - 3

18a + 51

42a - 27

66a -3

34.

In the diagram below AC // DF. Angle CBT is 40° and angle DET is 140°

320°

280°

220°

100°

80°

35.

Which of the following figures is a rhombus?

36.

Factorize completely the expression 2xy – 8x + 5y - 20.

(2x + 5)(y – 4)

(2x – 5)(y + 4)

(2x – 5)(y – 4)

(2x + 5)(y + 4)

(x + 5)(y – 4)

37.

A bag contains 24 marbles, 10 of which are blue and the rest green. A boy picks a marble at random from the bag. What is the probability that he picks a green marble?

$\frac{1}{14}$

$\frac{7}{17}$

$\frac{5}{12}$

$\frac{7}{12}$

$\frac{7}{10}$

38.

How many faces has a closed cylindrical object?

39.

Kofi and Ama shared an amount of GH₵ 3,000.00 in the ratio 2:3. Find the amount received by Kofi.

GH₵ 1,000.00

GH₵ 1,200.00

GH₵ 1,500.00

GH₵ 1,800.00

40.

If R = $\frac{h}{2}$ + $\frac{d^{2}}{8h}$ , find R when d = 8 and h = 6.

3 $\frac{1}{6}$

4 $\frac{1}{3}$

4 $\frac{3}{4}$

4 $\frac{9}{16}$

THEORY QUESTIONS

(a)

Copy and complete the table for the relation y = 2x + 5.

x	-3	-2	-1	0	1	2	3	4
y	-1	1		5				13

(b)

(i)

Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes 0x and 0y on a graph sheet.

(ii)

Mark the x-axis from -6 to 10 and y-axis from -6 to 14.

(iii)

Using the table, plot all the points of the relation y = 2x + 5 on the graph.

(iv)

Draw a straight line through the points.

(c)

Use the graph to find

(i)

y when x = 1.6

(ii)

x when y = 10

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?

(a)

(i)

Using a pair of compasses and ruler only, construct triangle XYZ with XZ = 12cm, XY = 10cm and angle XYZ = 90°.

(ii)

Measure YZ.

(iii)

Calculate the area of triangle XYZ

(iv)

Measure angle ZXY.

(b)

An isosceles triangle has a perimeter of (9y – 15) cm.

What is the length of each of the two equal sides, if its third side is (3y – 7) cm?

(a)

Three numbers are in the ratio 2 : 3 : 4 and their average is 36.

(i)

Calculate the sum of the three numbers.

(ii)

Find the greatest number.

(b)

If costs ₵875,000.00 to tile a rectangular floor measuring 7m by 5m. How much does it cost to tile a floor measuring 8m by 4m if the same types of tiles are used?

(c)

It is estimated that the population of a village increases by 10 percent every five years. If the population of the village is 150,000 this year, what would be the estimated population ten years from now?

(a)

A trader sold 250 articles for ₵525,000.00 at a profit of 25%.

(i)

Calculate the cost price of each article.

(ii)

If the trader had wanted 45% profit on the cost price, how much should he have sold each of the articles?

(b)

Find the simple interest on ₵880,000.00 for 2 $\frac{1}{2}$ years at 3 $\frac{1}{4}$ % per annum

(a)

A car runs on the average at 45 km to 5 litres of fuel. Calculate how many litres of fuel are required for a journey of 117 km.

(b)

(i)

Solve for x in the inequality $\frac{2}{3}$ (2x + 5) ≤ 8 $\frac{2}{3}$

(ii)

Illustrate the solution on the number line.

(c)

A factory increased its production by 22 $\frac{1}{2}$ % and produced 49,000 tonnes. How many tonnes was it producing before?