OBJECTIVE TEST

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

The table below gives the distribution of ages of students in a class.

Use it to answer the question below.

Ages (years)	13	14	15	16	17
Number of students	3	10	6	7	4

What is the modal age?

Divide 0.5445 by 0.09.

5.05

6.05

6.50

60.50

Given that p = {1,2,3,4,5,6,7,8,9,10,11,12}, what is the probability of selecting a prime number from the set?

⅔

7⁄12

5⁄12

If m = 3 and n = -3, evaluate $\frac{1}{2}$ (3m - n)

-6

In a class of 20 pupils, 8 pupils read Mathematics, 13 read English and 3 read both Mathematics and English.

Use this information to answer the question below.

How many pupils read English only?

The cost of three items at a shop are GH₵ 72.00, GH₵ 1,105.00 and GH₵ 216.00.

If a customer bought all the three items and received a change of GH₵ 107.00, how much did he initially give the shopkeeper?

GH₵ 1,300.00

GH₵ 1,400.00

GH₵ 2,000.00

GH₵ 1,500.00

What is the value of the digit 9 in the number 624.93 ?

9 hundreds

9 tens

9 units

9 tenths

The sum of 5 and x divided by 4 is equal to 3.25. Find the value of x.

2 $\frac{1}{4}$

-3 $\frac{4}{13}$

10.

find the value of n.

0.0105

0.105

105

1050

11.

Ama is facing east. Through how many degrees should she turn clockwise to face north?

90°

135°

180°

225°

270°

12.

Make q the subject of the relation w = $\frac{n - q}{q}$ .

q = $\frac{n - 1}{w}$

q = $\frac{n + 1}{w}$

q = $\frac{n + 2}{1 + w}$

q = $\frac{n}{w + 1}$

q = $\frac{n}{w - 1}$

13.

It takes 15 men, 48 days to weed a plot of land. How many men can weed the same plot of land in 16 days, if they work at the same rate?

14.

Which of the following is not a quadrilateral?

Hexagon

Kite

Rectangle

Trapezium

15.

A sales girl receives a 5 % commission on all she sells. Find how much she has to sell to receive GH₵ 15.00.

GH₵ 750.00

GH₵ 300.00

GH₵ 75.00

GH₵ 30.00

16.

Which of the following is an example of quantitative data?

Colour

Gender

Marital status

Length

17.

Find the truth set of $\frac{1}{4}$ (x + 3) ≤ 2x - 1.

{x:x ≤ -3}

{x:x ≤ -1}

{x:x ≥ 1}

{x:x ≥ -3}

18.

Solve: 4x - 2(x + 5) = -10.

x = -10

x = 0

x = $\frac{1}{2}$

x = 2

19.

A rectangle has an area of 36 cm² and a width of 3 cm. Find its perimeter.

12 cm

18 cm

24 cm

30 cm

20.

A man shared an amount of money between his two children, Esi and Ato in the ratio 2:3 respectively. If Ato received GH₵ 45.00, what was the total amount shared?

GH₵ 18.00

GH₵ 27.50

GH₵ 75.00

GH₵ 112.50

21.

Mr. Nkrumah saved ₵75,000.00 at a simple interest rate of 20% per annum for 3 years. Calculate the interest he earned on his savings

₵15,000.00

₵30,000.00

₵45,000.00

₵60,000.00

22.

What is the probability that a number greater than 5 shows up when a die is thrown?

5/6

1/6

2/3

1/3

23.

The marks obtained by 9 students in a test are 3, 3, 4, 5, 6, 7, 7, 7, 8.

Use this information to answer the question below.

What is the mode?

24.

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

Calculate the mean score.

4.4

5.4

6.0

6.4

9.0

25.

A man invested GH₵800.00 in a bank at a simple interest rate of 5% per annum. Find his total amount in the bank at the end of one year.

GH₵840.00

GH₵860.00

GH₵900.00

GH₵960.00

26.

Factorize completely the expression 4xy - 16x + 10y – 40.

(y + 4) (4x – 10)

(y – 4) (4x + 10)

(4 – y) (10 – 4x)

(y + 4) (4x + 10)

27.

The table below gives the ages of members of a juvenile club.

Use it to answer the question below

Age in years	8	9	10	11
Frequency	5	10	6	9

What is the modal age of the members of the club?

8 years

9 years

10 years

11 years

28.

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

29.

Mark is 30 years old. Yaw is half as old as Mark. Paul is 10 years older than Yaw. How old is Paul?

30 years

25 years

20 years

15 years

10 years

30.

A watchman was paid a basic wage of ₵250.00 a day. If he worked every day in the month, calculate his basic wage for February 1988.

₵6250.00

₵7200.00

₵7250.00

₵7750.00

₵8750.00

31.

Nine bottles of equal capacity hold 4 $\frac{1}{2}$ litres of water. How much do x bottles hold?

$\frac{1}{2}$ x litres

2x litres

20 $\frac{1}{2}$ x litres

40 $\frac{1}{2}$ x litres

32.

Write 0.01723 in standard form.

0.01723 x 10^-2

0.01723 x 10²

1.723 x 10^-2

1.723 x 10²

33.

Calculate the size of an exterior angle of a regular pentagon.

72°

90°

108°

360°

540°

34.

If the vector m = $(\begin{matrix} 3 \\ 2 \end{matrix})$ and n = $(\begin{matrix} -1 \\ 3 \end{matrix})$ , find m - 2n.

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

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

$(\begin{matrix} 5 \\ 4 \end{matrix})$

$(\begin{matrix} 5 \\ -4 \end{matrix})$

35.

Simplify 6a² × 4a²b²

10a⁴b²

24a²b²

24a⁴b²

24a²b⁴

36.

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

How many pupils took the test?

37.

At a meeting attended by 23 people, the females were 7 more than the males. How many males were there?

38.

Find the value of the angle marked y in the diagram.

35°

43°

67°

78°

137°

39.

When a certain number is subtracted from 10 and the result is multiplied by 2, the final result is 4. Find the number.

40.

In the diagram, line MN is parallel to line TU, line TS cuts line MN at O and ∠MOS = 115^o. Find ∠OTU.

65^o

55^o

45^o

25^o

THEORY QUESTIONS

(a)

If r =

and m =

, find p given p = r - m.

(b)

The sum of two numbers is 81. If the second number is twice the first, find the second number

(c)

The floor of a rectangular hall is of length 9 m and width 4 m. How many tiles of 20 cm by 30 cm can be used to cover the floor completely.

Express

as a percentage.

Factorize: ay - y - a + 1.

In a fishing community of 9,400 people, the number of women exceeds the number of men by 1,500. Find the ratio of men to women in the community.

If 11y = (18)²-(15)², find the value of y.

Find the perimeter of a circle with radius 35 cm. (Take π = 22⁄7)

Given that

make r the subject of the relation

ii)

find the value of r when s = 117, m = 2 and n = -3.

(a)

A man deposited ₵350,000.00 in his account in a bank. A simple interest of 4% per annum was paid on his deposit. Calculate the total amount at the end of 4 years.

(b)

The cost of sending a telegram is ₵500 for the first 12 words and ₵25.00 for every extra word.

Find the cost of sending a telegram containing 20 words.

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.

(a)

Simplify $\frac{2a + 4b}{3}$ - $\frac{3(a - b)}{2}$

(b)

Solve 5(a – 5) – $\frac{1}{2}$ (2a + 6) = 4

(c)

If r = $(\begin{matrix} 3 \\ 1 \end{matrix})$ and q = $(\begin{matrix} -2 \\ 1 \end{matrix})$ , calculate 6(r + 2q).