OBJECTIVE TEST

There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is red?

$\frac{2}{5}$

$\frac{2}{3}$

$\frac{3}{5}$

$\frac{4}{5}$

Evaluate 10 ÷ (3 $\frac{1}{2}$ + 1 $\frac{1}{5}$ )

2 $\frac{6}{47}$

4 $\frac{2}{35}$

2 $\frac{1}{6}$

4 $\frac{7}{10}$

Find the truth set of the inequality 2y + 5 < 4y - 5.

{y:y > 5}

{y:y < 5}

{y:y > 1}

{y:y > 0}

If 50 oranges cost ₵2,500.00 how many oranges can be bought for ₵15,000.00?

300

360

Mr. Yevu saved ₵2,500.00 at a simple interest rate of 25% per annum for 4 years. Calculate the interest he earned on his savings.

₵625.00

₵2,500.00

₵3,125.00

₵5,000.00

₵10,000.00

The diagram below shows two points P and Q in the number plane. Find the vector PQ.

$(\begin{matrix} 6 \\ 4 \end{matrix})$

$(\begin{matrix} 6 \\ -4 \end{matrix})$

$(\begin{matrix} -6 \\ 4 \end{matrix})$

$(\begin{matrix} 4 \\ -6 \end{matrix})$

$(\begin{matrix} -4 \\ -6 \end{matrix})$

The following addition is in base ten. Find the missing addend.

	2	3	4	5
+	1	0	4	5
	*	*	*	*
	5	1	1	0

1300

1720

2765

4065

9500

Remove the brackets: a – 2(b – 3c)

a – 2b – 3c

a – 2b - 6c

a – 2b + 6c

a + 2b + 6c

a – 2b + 3c

Use the information below to answer the question below

In the diagram above, the cylinder has diameter 4 cm and length 14 cm.

[Take π = $\frac{22}{7}$ ]

Find the circumference of the base.

$\frac{44}{7}$ cm

$\frac{88}{7}$ cm

$\frac{176}{7}$ cm

44 cm

176 cm

10.

Two sets which have no common members are known as ......

equal sets

equivalent sets

empty sets

disjoint sets

union

11.

Find how many pieces of cloth 5 $\frac{1}{2}$ m long that can be cut from a roll of cloth 121 m long.

665 $\frac{1}{2}$

115 $\frac{1}{2}$

12.

Simplify 3a² × 2ab × 4bc

9a³b²c

12a²b²c

24a²b²c

24a³b²c

13.

If u = $(\begin{matrix} 3 \\ -1 \end{matrix})$ and v = $(\begin{matrix} 6 \\ 1 \end{matrix})$ , find 2u + v.

$(\begin{matrix} 12 \\ 0 \end{matrix})$

$(\begin{matrix} 12 \\ -1 \end{matrix})$

$(\begin{matrix} 6 \\ 1 \end{matrix})$

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

$(\begin{matrix} 6 \\ -1 \end{matrix})$

14.

Simplify 3a²b³ × 4a³b.

12a⁵b⁴

12a⁴b⁵

7a⁵b⁴

7a⁴b⁵

15.

A mapping is defined by n → 2n – 3.

What is the image of –2 under the mapping?

–1

–5

–7

16.

Find the value of 4 + x⁰.

17.

Divide 1.612 by 0.4.

4.3

4.03

0.403

0.43

18.

Write down all the integers within the interval 21 < y ≤ 27.

{21, 22, 23, 24, 25, 26, 27}

{22, 23, 24, 25, 26, 27}

{21, 22, 23, 24, 25, 26}

{22, 23, 24, 25, 26}

19.

The ratio of mangoes to oranges in a basket is 3:2. If there are 36 mangoes, how many oranges are in the basket?

20.

Given that a = 2 and b = 3, evaluate (2a + b) (a – 2b)

–7

–8

–28

21.

Which of the following are the prime factors of 12?

{1, 3}

{2, 3}

{2, 4, 6, 12}

{2, 3, 4, 6}

22.

A man has 6x sheep and 5y goats. He sells 3x sheep and 2y goats. How many animals are left after the sales?

3x - 3y

3x + 3y

9x - 5y

9x + 5y

23.

In the diagram above, AB is parallel to CD. Angles x and y are

alternate angles

corresponding angles

vertically opposite angles

co-interior angles

24.

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

25.

List the members of the set {2 ≤ x ≤ 5}.

{2, 5}

{2, 3, 4}

{2, 3, 5}

{2, 3, 4, 5}

26.

A car covered a distance of 150 km at a speed of 18 km/h. Find the time taken.

7 hours 33 minutes

7 hours 53 minutes

8 hours 13 minutes

8 hours 20 minutes

27.

Write 0.01723 in standard form.

0.01723 x 10^-2

0.01723 x 10²

1.723 x 10^-2

1.723 x 10²

28.

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

29.

A match box contains 40 sticks. If 15 of them are spolit, find the probability that a stick chosen at random is not spoilt?

30.

Arrange the following in descending order of magnitude:

0.32, $\frac{2}{5}$ , 27%, $\frac{1}{3}$ .

0.32, $\frac{2}{5}$ , 27%, $\frac{1}{3}$

0.32, $\frac{1}{3}$ , $\frac{2}{5}$ , 27%

27%, 0.32, $\frac{1}{3}$ , $\frac{2}{5}$

$\frac{2}{5}$ , $\frac{1}{3}$ , 0.32, 27%

31.

The area of a rectangular card is 15 cm². If each side of the card is enlarged by a scale factor 3, find the area of the enlarged card.

45 cm²

75 cm²

90 cm²

135 cm²

32.

The number of pupils who attended hospital from eight classes on a particular day are:

1,5,3,1,7,5,1,1.

What is the modal number?

33.

If a = $(\begin{matrix} -2 \\ 1 \end{matrix})$ and b = $(\begin{matrix} -5 \\ -3 \end{matrix})$ , find 2a - b.

$(\begin{matrix} 1 \\ 5 \end{matrix})$

$(\begin{matrix} -9 \\ -1 \end{matrix})$

$(\begin{matrix} 5 \\ 1 \end{matrix})$

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

34.

If the bearing of A from B is 240^o, find the bearing of B from A

040^o

060^o

120^o

300^o

35.

Find the set of integers within the interval -2 < x < 2

{-2,-1,2}

{-2,-1,0}

{-1,0,1}

{-1,1,2}

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

What is the modal mark?

37.

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.

38.

Simplify $\frac{0.12 x 0.08}{2.40}$

0.4

0.04

0.004

0.0004

0.00004

39.

200 bottles of equal capacity hold 350 litres of water. How much water does each bottle hold?

1750 litres

175 litres

17.5 litres

1.75 litres

0.17 litres

40.

The following temperatures in oC were recorded in 10 cities in Europe; -4, 5, 2, 0, -6, -4, 3, -6, -4, 7.

Find the modal temperature.

–2°

–4°C

0°C

–6°C

THEORY QUESTIONS

(a)

Given that u = 4, t = 5, a = 10 and s = ut + $\frac{1}{2}$ at², find the value of s.

(b)

The selling price of a gas cooker is GH₵450.00. If a customer is allowed a discount of 20%, calculate the:

(i)

discount;

(ii)

amount paid by the customer.

(c)

A crate of minerals containing ten bottles of Coca Cola and fourteen bottles of Fanta was given to some children for a birthday party. If a child chose a drink at random from the crate, find the probability that it was Fanta.

(a)

Using a scale of 2 cm to 2 units on both axes, draw on a graph sheet two perpendicular axes, 0x and 0y, for the interval -10 ≤ x ≤ 10 and -10 ≤ y ≤ 10.

(b)

On the same graph sheet, draw:

(i)

a quadrilateral ABCD with vertices A(2,4),B(2,8),C(8,8) and D(8,4);

(ii)

the image A₁B₁C₁D₁ of ABCD under a translation by vector $(\begin{matrix} -5 \\ -2 \end{matrix})$ , where A → A₁, B → B₁, C → C₁ and D → D₁;

(iii)

the image A₂B₂C₂D₂ of ABCD under a reflection in the y-axis, where A → A₂, B → B₂, C → C₂ and D → D₂.

(c)

(i)

What type of quadrilateral is ABCD?

(ii)

Find the gradient of A₂B₁.

(a)

A cylinder closed at one end has radius 7 cm and height 20 cm.

(i)

Find its total surface area.

(ii)

If the cylinder is filled with water to a depth of 5 cm, calculate the volume of the water in it.

[Take π = $\frac{22}{7}$ ]

(b)

Evaluate $\frac{0.07 x 0.6}{0.014 x 0.03}$ , leaving your answer in standard form.

Simplify: 5(6 - ab) + 2(-7 + 3ab)

The equation of a straight line is given by 3x - 2y - 6 = 0. Find the:
(i) gradient of the line;
(ii) y-intercept

Adwoa received a commission of 20% on bread she sold. In one week, Adwoa's commission was GH₵ 540.00.
(i) How much bread did she sell during that week?
(ii) Find her average daily commission.

The bar chart above is the distribution of marks in a class test.

(a)

(i)

Write down the frequency table for the distribution.

(ii)

Use the table to find the mean mark.

(b)

If the pass mark is 4, how many pupils failed the test?

(a)

The diagram AEBCD shows the shape of Mr. Awuah's garden, which is made up of a rectangular portion ABCD and a triangular portion AEB.

|AB| = |DC| = 90 m, |AD| = |BC| = 70 m, |AE| = 48.5 m and |EB| = 50 m. The height of the triangle is 20 m.

Find

(i)

area of ABCD;

(ii)

area of AEB;

(iii)

total area of the garden;

(iv)

perimeter of the garden.

(b)

Find the value of x if $\frac{3x - 2}{5}$ is greater than $\frac{1 - 4x}{10}$ by 5