OBJECTIVE TEST

Find the value of x, if $\frac{x}{4}$ + 1 = 5.

Solve: 3(x - 2) - $\frac{x}{3}$ + 6 > 0.

x < 0

x > 0

x > 3

x > $\frac{1}{8}$

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

Kofi and Ama shared an amount of money in the ratio 3 : 2 respectively. If Kofi had ₵60,000.00, how much was shared?

₵36,000.00

₵40,000.00

₵90,000.00

₵100,000.00

₵120,000.00

Use the mapping below to answer the question below

x	1	2	3	4
↓	↓	↓	↓	↓
y	3	5	7	9

What is the rule for the mapping?

x→ 4 - x

x→ x - 2

x→2x

x→2x + 1

x→3x

The circumference of a circle is 440 m. Find the area of the circle.

[Take π = $\frac{22}{7}$ ]

14,400 m²

15,400 m²

16,400 m²

18,000 m²

If 22% of a rope is 55 m long, find the full length of the rope.

12.1 m

25 m

121 m

250 m

2500 m

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

56°

72°

108°

128°

A point (2, 1) is reflected in the y-axis. Find its image.

(-1, 2)

(1, -2)

(-2, 1)

(2, -1)

10.

Simplify $\frac{1}{3}$ - $\frac{1}{2}$ + $\frac{2}{5}$

$\frac{17}{30}$

$\frac{13}{30}$

$\frac{7}{30}$

- $\frac{7}{30}$

- $\frac{17}{30}$

11.

What is the actual bearing of S25^oE?

035^o

065^o

115^o

155^o

12.

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?

13.

The table below shows the average rainfall in a town from March 2003 to August 2003.

Use it to answer the question below.

Month	March	April	May	June	July	August
Rainfall (mm)	96	147	281	452	265	139

What was the total amount of rainfall in May, June and July?

696 mm

930 mm

998 mm

1020 mm

14.

Correct 0.02751 to three decimal places.

0.027

0.028

0.03

0.28

15.

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

16.

Factorize: xy + 5x + 2y + 10.

(x + 5)(2y + 10)

(x + 2)(y + 10)

(x + 5)(y + 2)

(x + 2)(y + 5)

17.

Two sides of a rectangle are 10 cm and 6 cm. Calculate the area of a square with the same perimeter as that of the rectangle.

16 cm²

30 cm²

60 cm²

64 cm²

18.

Two sides of a parallelogram are 5.8 m and 8.2 m long. Find its perimeter

11.0 m

36.6 m

28.0 m

47.6 m

19.

XYZ is a right-angled triangle with length of sides as shown.

Which of the following equations gives the value of z²?

z² = (x² + y²)

z² = (x - y)

z² = (y² - y²)

z² = (x² - y²)

20.

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.

A child is selected at random, what is the probability that he or she is 4 years old?

$\frac{4}{35}$

$\frac{1}{7}$

$\frac{2}{5}$

$\frac{4}{5}$

21.

Yakubu, Seidu and Amina shared an amount of money in the ratio 3 : 4 : 5. Find how much was shared, if Amina received ₵40,000.00

₵72,000.00

₵80,000.00

₵96,000.00

₵120,000.00

22.

Correct 5178.3426 to two decimal places.

5178.00

5178.30

5178.34

5178.35

23.

The product of 2x and 3 is 138. Find x

138

24.

Simplify: -15 - (-20) + (-10).

-45

-5

-25

25.

If the two figures ABCD and PQRS are similar, find the value of b.

60 cm

40 cm

33 cm

30 cm

26.

Simplify: $\frac{2a}{3}$ - $\frac{a - b}{2}$ .

a - 3

$\frac{a - 3b}{6}$

$\frac{a + 3b}{6}$

a + 3b

a - b

27.

If 6:8 = r:48, find the value of r

28.

Find the median of the numbers 17,12,15,16,8,18,13 and 14.

14.5

15.5

29.

Ama bought a pair of sandals for GH₵ 20.00 and solid it at GH₵ 24.00. Find the percentage profit.

4 %

17 %

20 %

44 %

30.

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

31.

Mensah packed 1,800 apples into a number of boxes. If each box contained 120 apples, how many boxes were fully packed?

32.

What is the fifth term of the sequence $\frac{1}{3}$ , $\frac{2}{5}$ , $\frac{7}{15}$ ...?

$\frac{4}{9}$

$\frac{5}{11}$

$\frac{6}{13}$

$\frac{3}{5}$

33.

Express

as a decimal fraction.

0.3200

0.3125

0.3676

0.3222

34.

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

Use this information to answer the question below.

How many pupils study only Economics?

35.

Use the mapping below to answer the question below

-2	-1	0	2	3	4	......	x
↓	↓	↓	↓	↓	↓		↓
y	-1	1	5	7	9	......	21

Find the value of y

–1

–3

-5

36.

A survey shows that 28% of all the men in a village are vegetarian. What is the probability that a man selected at random from the village is a vegetarian?

$\frac{7}{25}$

$\frac{41}{50}$

$\frac{1}{2}$

37.

The pie chart shows the household budget of a family.

Use the information to answer the question below

If the family's income was GH₵ 40,000.00, how much was spent on clothing?

GH₵ 1,600.00

GH₵ 2,000.00

GH₵ 3,200.00

GH₵ 4,400.00

38.

Simplify: $(\begin{matrix} -2 \\ 3 \end{matrix})$ - $(\begin{matrix} 1 \\ 5 \end{matrix})$ .

$(\begin{matrix} -1 \\ 2 \end{matrix})$

$(\begin{matrix} -1 \\ 8 \end{matrix})$

$(\begin{matrix} -3 \\ 8 \end{matrix})$

$(\begin{matrix} -1 \\ -2 \end{matrix})$

$(\begin{matrix} -3 \\ -2 \end{matrix})$

39.

The population of a town is 56782. What is this number to three significant figures?

567

568

56700

56800

40.

Write in standard form 1342.

0.1342 x 10^-3

0.1342 x 10^-4

13.42 x 10²

1.342 x 10³

1.342 x 10⁴

THEORY QUESTIONS

(a)

Solve for x, if 2 - $\frac{3}{5}$ x ≤ 1 $\frac{1}{3}$ .

(b)

At a rally attended by 520 people, 30% were Fantes, 25% Ewes, 15% Nzemas, 20% Gas and the rest Gonjas.

(i)

How many Gonjas were at the rally?

(ii)

How many more Fantes than Nzemas were at the rally?

(iii)

Draw a pie chart to illustrate the information.

(a)

Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes OX and OY on a graph sheet. On the same graph sheet, mark the x-axis from -10 to 10 and the y-axis from -10 to 10.

(i)

Plot A(2, 2), B(6, 2) and C(4, 6). Join AB, BC and AC

(ii)

Draw the image triangle A₁B₁C₁ of triangle ABC under a clockwise rotation of 90° about the origin, where A→A₁, B→B₁ and C→C₁.

(iii)

Draw the image triangle A₂B₂C₂ of triangle ABC under a reflection in the y-axis, where A→A₂, B→B₂ and C→C₂

(b)

When 12 is added to a certain number and the sum is multiplied by 4, the result is 60. Find the number

(a)

Given the sets A = {multiples of 3 less than 12}, B = {integers between 4 and 8} and C = {4,5,7}, find:

(i)

A∩B;

(ii)

(A∪B)∩C;

(ii)

(A∩B)∪C;

(b)

Simplify: 1 $\frac{3}{4}$ - 2 $\frac{5}{6}$ - 1 $\frac{9}{10}$ + 4 $\frac{7}{8}$ .

(a)

Find the sum of 2,483.65, 701.532 and 102.7, giving your answer to one decimal place.

(b)

In the quadrilateral ABCD above, |AB|= 3 cm,|BC|= 4 cm, |CD|= 12 cm and angle ABC = 90^o and angle ACD = 90^o.

Calculate:

(i)

the perimeter of ABCD;

(ii)

the area of ABCD.

(a)

P = {Factors of 30}
Q = {Multiples of 5 less than 40}

Find P ∩ Q

(b)

A trader saved GH₵200.00 for 3 years at 12% simple interest per annum. What will be the total amount in the trader's account at the end of the 3 years?

(c)

Evaluate $\frac{4.56 x 3.6}{0.12}$ and leave your answer in standard form.

Using a ruler and a pair of compasses only,

(a)

draw |PQ| = 9 cm

(b)

construct a perpendicular to PQ at Q

(c)

construct angle QPS = 60° at the point P on PQ such that |PS| = 6.5cm

(d)

construct a line parallel to PQ through S. let the perpendicular through Q and the parallel through S, meet at R. Measure |PR|.