OBJECTIVE TEST

Use the mapping below to answer the question below.

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	-4	-2	0	2	m

What is the rule for this mapping?

x→ 2(x - 3)

x→ x - 5

x→ 2(x - 2)

x→ 2x-3

Make m the subject of the relation f = $\frac{t}{s}$ - m

m = $\frac{t}{s}$ + f

m = $\frac{t}{s}$ - f

m = $\frac{fs - t}{s}$

m = f - $\frac{t}{s}$

m = -f - $\frac{t}{s}$

Given that 2² x 3² x 7 = 252, find the least number that should be multiplied by 252 to make the product a perfect square.

252

The point S(4, 3) is reflected in the y-axis, Find the coordinates of the image of S.

(-3,4)

(4,-3)

(3,-4)

(-4,3)

Calculate the volume of a cylinder with radius 7 cm and height 10 cm.

[Take π = $\frac{22}{7}$ ]

220 cm³

440 cm³

1,540 cm³

3,080 cm³

Find the Greatest Common Factor (GCF) of 90, 126 and 72.

An amount of money is shared between Kofi and Ama in the ratio 3 : 5. If Ama received ₵4,650.00, what is Kofi's share?

₵930.00

₵1,550.00

₵1,743.75

₵2,790.00

₵2,906.25

If a woman was paid ₵180,000.00 for working for 4 $\frac{1}{2}$ days, how much would she be paid for one day?

₵40,000.00

₵45,000.00

₵54,000.00

₵81,000.00

Solve for x in the equation 15 – 2x = 6

–10.5

–4.5

4.5

10.5

10.

Solve 4x – 6 < -2

x < 1

x > 1

x < -1

x > -1

x < 4

11.

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

-6

12.

Find the size of the angle marked f, in the diagram above

56°

72°

108°

128°

13.

Which of the following is true?

{0, 2, 6, 9, 12} is a subset of even numbers.

{-1, 0, 2, 3, 5} is a subset of odd numbers.

{-2, -1, 1, 3, 9} is a subset of integers.

{2, 3, 5, 7, 27} is a subset of prime numbers.

{9, 18, 21, 27, 36} is a subset of multiples of 9.

14.

Find the perimeter of the kite below.

38 cm

64 cm

76 cm

88 cm

15.

Expand (a + 2b)(a - 2b)

a² - 4ab - 4b²

a² + 4ab - 4b²

a² - 4b²

a² + 4b²

16.

The distance from the centre of a circle to any point on it is called

circumference.

diameter.

radius.

sector.

17.

Three children share an amount of ₵910,800.00 in the ratio 2 : 3 : 4. What will be the highest share?

₵202,400.00

₵303,600.00

₵404,800.00

₵455,400.00

18.

A cylinder has a radius 6 cm and height 7 cm. Find its volume.

[Take π = $\frac{22}{7}$ ]

132 cm³

264 cm³

294 cm³

792 cm³

924 cm³

19.

Kojo is 20% heavier than Afua. If Kojo weighs 6 kg, what is Afua’s weight?

4.8 kg

5.0 kg

6.0 kg

7.2 kg

20.

Evaluate $\frac{0.036}{0.02}$

0.018

0.18

1.8

18.0

21.

How many lines of symmetry does a rectangle have?

22.

Which of the following can be made from the net below?

Triangular prism

Square pyramid

Triangular pyramid

Cuboid

23.

In the relation $\frac{1}{R}$ = $\frac{1}{R_{1}}$ + $\frac{1}{R_{2}}$ , if R₁ = 1 and R₂ = 3,
find R

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{3}{2}$

$\frac{4}{3}$

24.

In the diagram above, A and B are two intersecting sets. How many members are in the set B?

25.

Arrangle the following fractions in ascending order: $\frac{7}{12}$ , $\frac{3}{5}$ , $\frac{7}{15}$ , $\frac{3}{4}$

$\frac{3}{5}$ , $\frac{7}{15}$ , $\frac{7}{12}$ , $\frac{3}{4}$

$\frac{7}{12}$ , $\frac{7}{15}$ , $\frac{3}{5}$ , $\frac{3}{4}$

$\frac{7}{15}$ , $\frac{7}{12}$ , $\frac{3}{5}$ , $\frac{3}{4}$

$\frac{3}{5}$ , $\frac{3}{4}$ , $\frac{7}{12}$ , $\frac{7}{15}$

26.

It takes 6 students 1 hour to sweep their school compound. How long will it take 15 students to sweep the same compound?

24 minutes

12 minutes

3 hours

2 hours

27.

Find in base ten the value of 4 in 143_five.

28.

Express 1.25 as a mixed fraction in its lowest form.

1 $\frac{1}{25}$

1 $\frac{4}{25}$

1 $\frac{1}{4}$

$\frac{3}{4}$

29.

Find the Least Common Multiple(L.C.M) of 4, 5 and 6.

30.

Which of the following is equivalent to 2² × 6²

2 × 3⁴

2² × 3²

2² × 3⁴

2⁴ × 3

2⁴ × 3²

31.

Correct 0.003858 to three significant figures

0.00385

0.00386

0.0039

386

32.

A man travelled a distance of 8 km in an hour. How long will it take him to cover a distance of 12 km, travelling at the same speed?

1⅓ hrs

1½ hrs

1¾ hrs

2 hrs

33.

Find the H.C.F. of 18, 36 and 60.

2² x 3² x 5

2² x 3²

2 x 3 x 5

2 x 3

34.

Simplify 5(3t + 1) – 6(t – 1).

9t + 11

9t + 7

9t + 1

9t – 5

35.

In the diagram, QP is parallel to ST, angle QPR = 68^o and angle SRT = 40^o.

Use the information to answer the question below:

Find the value of angle PQR.

40^o

68^o

72^o

108^o

36.

Find the gradient of the line which passes through the points (2, 3) and (-4, 5).

-3

- $\frac{1}{3}$

$\frac{1}{3}$

37.

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

38.

In the diagram below, K is an enlargement of J. Use it to answer the question below.

Find the value of x.

3.0 m

3.5 m

4.5 m

6.0 m

9.0 m

39.

A polygon has 10 sides. Which of the following gives the sum of its interior angles?

2 x 180°

4 x 180°

6 x 180°

8 x 180°

10 x 180°

40.

State the property used in the statement: p(q + r) = pq + pr

Associative

Commutative

Distributive

Identity

Universal

THEORY QUESTIONS

(a)

Using a pair of compasses and ruler only, construct

(i)

triangle ABC with │AB│ = 10cm, angle ABC = 30° and angle CAB = 60° ;

(ii)

a perpendicular from the point C to meet the line AB at P.

(b)

(i)

Extend line CP to the point D such that │BC│ = │BD│.

(ii)

Join A to D and B to D.

(iii)

Measure │AC│ and │AD│.

(c)

What type of quadrilateral is ADBC?

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?

The marks scored by some students in a Mathematics test are as follows:

3	3	5	6	3	4
7	8	3	4	5	4
7	4	3	7	4	6
4	8	4	5	6	3
8	4	5	6	4	5

(a)

Construct a frequency distribution table for the scores.

(b)

Using the table, find for the distribution, the

(i)

mode;

(ii)

mean, correct to one decimal place;

(iii)

median.

(a)

Multiply (a – b) by (2b – a)

(b)

Find the truth set of 2x – 6 ≤ 5 (3 – x).

Illustrate your answer on a number line.

(c)

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

(a)

If X = {Prime numbers less than 13} and Y = {odd numbers less than 13}

(i)

List the members of X and Y

(ii)

List the members of X ∩ Y and X U Y

(b)

Three school children share some oranges as follows: Akwasi gets $\frac{1}{3}$ of the total, and the remainder is shared between Abena and Jantuah in the ratio 3:2. If Jantuah gets 24 oranges, how many does Akwasi get?

A property worth GH₵ 10,480.00 is shared between a widow and her 10 children in the ratio 1:4 respectively. The children shared their portion equally. Find each child's share.

The data shows the distribution of marks in a class test.

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

Use the data to answer the following questions:

make a Stem and Leaf plot of the data;

how many students scored more than 10 marks and less than 20 marks?

iii

what is the probability of a student scoring less than 20 marks?

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32