OBJECTIVE TEST

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

Find the area of the parallelogram PQRS

20 cm²

21 cm²

48 cm²

60 cm²

240 cm²

In a school of 940 pupils, the number of girls exceeds the number of boys by 150. How many girls are there in the school?

620

545

470

395

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?

$\frac{1}{14}$

$\frac{7}{17}$

$\frac{5}{12}$

$\frac{7}{12}$

$\frac{7}{10}$

Which of the following is a factor of the expression ac – 2bc + ad – 2bd?

c – d

a – 2b

a + b

a + 2b

c + 2d

Find the image of 4 under the following mapping.

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	4	7	10	k	16

Factorize completely 5xy + 10ny

5y(x + n)

5y(x + 2n)

5xy(1 + 2n)

5(xy + 2ny)

x(5x + 10n)

A trader bought 100 tubers of yam for GH₵ n each. All the yams were sold at GH₵ m each. Find the profit.

GH₵ 100(m - n)

GH₵ 100(m + n)

GH₵ 100(n - m)

GH₵ 100( nm )

Use the graph of the straight line below to answer the question below

Find the gradient of line MN.

–2

–1

$\frac{3}{2}$

10.

A bag contains 5 black and 6 white balls. What is the probability of picking a white ball?

$\frac{1}{11}$

$\frac{1}{6}$

$\frac{1}{5}$

$\frac{5}{11}$

$\frac{6}{11}$

11.

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

78.4

104

129.6

12.

What is the rule for this mapping?

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	1	3	5	7	9

x→2x - 1

x→2(x - 1)

x→2x + 1

x→2(x + 1)

x→2x - 1

13.

Five times a number is four more than the number. Find the number.

$\frac{3}{2}$

$\frac{2}{3}$

$\frac{1}{2}$

-1

14.

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.

Use this information to answer the question below.

What is the modal mark?

15.

If S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, find the probability that a number selected at random from S is odd.

$\frac{3}{8}$

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{5}{8}$

16.

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%

17.

Correct 5178.3426 to two decimal places.

5178.00

5178.30

5178.34

5178.35

18.

Factorize 3r²s – 9rs²

rs(3r – s)

3rs(s – 3r)

3rs(r - 3s)

r²s²(3r – 9s)

3r²s²(s – 3r)

19.

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

20.

Adwoa and Ama share an amount of ₵6,000.00 in the ratio 3 : 2. Find Adwoa's share.

₵2,000.00

₵2,400.00

₵3,000.00

₵3,600.00

₵4,000.00

21.

At eight O'clock, which of the following is the angle between the hour and the minute hands of the clock?

150^o

120^o

90^o

60^o

22.

Convert 320_five to a base ten numeral.

23.

The perimeter of a rectangle is 24 cm. If the breadth of the rectangle is 4 cm, find the area of the rectangle.

32 cm²

48 cm²

64 cm²

144 cm²

24.

Multiply 0.014 by 0.2

0.00028

0.0028

0.028

0.28

25.

What is the name of the line segment drawn to join any two points on the circumference of a circle?

arc

chord

radius

sector

segment

26.

Three girls Ama, Adjoa and Abena measured the length of the sides of 3 right-angled triangles as follows:

Ama's measurements were 80 mm, 40 mm, 50 mm.

Adjoa's measurements were 50 mm, 120 mm, 130 mm.

Abena's measurements were 20 mm, 30 mm and 40 mm.

Whose measurement(s) was / were correct?

Ama's only

Abena's and Ama's

Adjoa's and Abena's

Ama's and Adjoa's only

Adjoa's only

27.

Write 3560 in standard form.

3.56 x 10^-4

3.56 x 10^-3

3.56 x 10³

3.56 x 10⁴

28.

Find the median of the following marks: 2, 4, 10, 3, 6, 12.

29.

Given that t = p² + 1, find p when t = 10.

3.0

4.5

11.0

81.0

30.

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

31.

Find the highest common factor (HCF) of 20, 12 and 28.

32.

In the diagram below, triangle QRT is the enlargement of QST.

Which side of triangle QRT corresponds to side QT of triangle QST?

33.

If set B is a subset of set A, then

sets A and B have the same number of elements.

some members of set B can be found in set A.

no member of set B is in set A.

all the members of set B are in set A.

34.

The marks obtained by 10 boys in a test are 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.

Use this information to answer the question below

Find the median score.

35.

In sharing 95 oranges with Dede, Fofo kept 45 of them and shared the rest equally with Dede. How many oranges did Dede get?

36.

Find the missing members in the set {5, 10, 15, _ , 25, _ , _ ,40}

20 and 30

30 and 35

20 and 35

20, 30 and 35

30, 35 and 45

37.

Write two hundred thousand and fifty seven in figures

20,057

200,057

2,000,057

20,000,057

200,570

38.

The table below shows the day and night temperatures of a town during a week. Use it to answer the question below.

Week	Temperature (^oC)
Week	Day	Night
Monday	33	24
Tuesday	29	25
Wednesday	32	23
Thursday	34	26
Friday	32	24
Saturday	30	24
Sunday	30	25

On which day was the change in temperature the least?

Monday

Saturday

Sunday

Tuesday

39.

Find the volume of a cuboid of sides 15 m by 12 m by 3 m.

36 m³

45 m³

180 m³

540 m³

40.

In an enlargement with scale factor k, which of the following statements is not true?

Each length is multiplied by k

Each angle remains the same

The shape of the figure does not change

The size of the figure does not change

Corresponding lines are parallel

THEORY QUESTIONS

(a)

Convert 444_five to a base two numeral.

(b)

A man had three GH₵50.00, seven GH₵20.00 and five GH₵10.00 notes in his pocket. If he bought a bicycle for GH₵150.00 and two mobile phones at GH₵80.00 each, how many GH₵20.00 and GH₵10.00 notes did he have left?

(a)

The marks obtained by 20 pupils in a test were as follows:

4	8	7	6	2
1	7	4	3	7
6	4	7	5	2
7	5	4	8	3

(i)

Construct a frequency distribution table for this data.

(ii)

What is the mode of the distribution?

(iii)

Calculate the mean mark.

(iv)

What percentage of the pupils passed, if the pass mark is 6?

(v)

What is the probability that a pupil selected at random scored not more than 5 marks?

(b)

Simplify 7 $\frac{2}{3}$ - 4 $\frac{5}{6}$ + 2 $\frac{3}{8}$

(a)

(i)

Copy and complete the following mapping:

x	1	2	3	4	5	6	7
↓	↓	↓	↓	↓	↓	↓	↓
y	5	7	9	-	-	-	17

(ii)

Determine the rule for the mapping.

(b)

Draw two perpendicular axes 0x and 0y on a graph sheet.

(c)

Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 units on the y-axis, mark the x-axis from 0 to 8 and y-axis from 0 to 20.

(d)

Plot the point for each ordered pair (x,y) and join them with a straight line.

(e)

Find:

(i)

y when x is 0;

(ii)

x when y is 14.

(a)

Simplify: (4x + 2)(x - 2) - 3x²

(b)

The following are the angles formed at the center of a circle: 40^o, 60^o, 100^o, 3x^o and 5x^o.

Find the value of x.

(c)

The cost (C) in Ghana Cedis of producing a book of x pages is given by C = 25 + 0.6x.

(i)

Find the cost of producing a book with 220 pages.

(ii)

How many pages are in a book produced at a cost of GH₵ 145.00?

(a)

Ama and Kofi shared the profit earned from their business in the ratio 3 : 4. The profit was ₵1,743,000.00

(i)

Find how much of the profit each person received.

(ii)

Kofi lent out his share of the profit at a rate of 20% per annum for 2 years. Find the interest on his share.

(iii)

What will be Kofi's total amount at the end of the 2 years?

(b)

Change 243_five to a base ten numeral.

(a)

A ladder leans against a wall. The end of the ladder touches the wall 12m from the ground. The foot of the ladder is 9m away from the foot of the wall.

(i)

What is the length of the ladder?

(ii)

Calculate the angle that the ladder makes with the ground.

(b)

Given that π = 3.14 and g = 20. Find the value of F in the relation F = $\frac{3}{4}$ πg²