OBJECTIVE TEST

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

c – d

a – 2b

a + b

a + 2b

c + 2d

The length of a field, 1.2 km long is represented on a map by a line 40 mm long. What is the scale of the map?

1 : 100

1 : 300

1 : 1000

1 : 3000

1 : 30000

Calculate the simple interest on GH₵450.00 for 2 years at 12% per annum.

GH₵ 191.00

GH₵ 108.00

GH₵ 54.00

GH₵ 27.00

In the following diagram, rectangle OABC is enlarged into rectangle OA₁B₁C₁ from center O. OC = 5 cm, OA = 2 cm and AA₁ = 1 cm.

Use the diagram to answer the question below.

Calculate OC₁.

7.5 cm

8 cm

9 cm

12 cm

Simplify $(\begin{matrix} -3 \\ 5 \end{matrix})$ + $(\begin{matrix} 2 \\ -7 \end{matrix})$

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

$(\begin{matrix} -5 \\ 12 \end{matrix})$

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

$(\begin{matrix} -5 \\ -12 \end{matrix})$

P = {3, 6, 9, 12, 15}. Which of the following best describes the set P?

The set of multiples of 3 less than 18

The set of multiples of 3

The set of odd numbers

The set of odd numbers less than 16

If 8.51 ÷ 2.3 = 3.7, find the value of 85.1 ÷ 2.3

0.037

0.37

3.7

370

Subtract (7x-3) from (5-3x).

10x-8

4x-8

8-10x

2-10x

The figure QPR is an equilateral triangle. If angle PRS = (2x - 10)^o, find the value of x.

10.

Find the area of a square, if its perimeter is 28 cm.

784 cm²

196 cm²

49 cm²

14 cm²

11.

Find the length of the vector p = $(\begin{matrix} -5 \\ 12 \end{matrix})$

12.

Simplify: 4(x + 2)-3(x +1).

x + 5

x + 11

7x + 5

7x + 11

13.

If 13x – 12 = 5x + 60, find x

–9

–6

14.

U = {0, 1}. How many subsets have U?

15.

Find the set of prime factors of 12.

{3}

{2, 3}

{3, 4}

{2, 6}

{2,3,4,6,12}

16.

The dimensions of the rectangle are given in base two. Find its perimeter.

100_two cm

101_two cm

110_two cm

1001_two cm

1010_two cm

17.

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

18.

If A = {1, 3, 5, 7, 9, 11, 13, 15} and B = {3, 6, 9, 12, 15}, find n(A∩B).

19.

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

–10.5

–4.5

4.5

10.5

20.

Write 1101101_two in base ten

108

109

218

21.

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.

22.

In the diagram above, A is the centre of the circle with radius 20 cm. If angle BAC is 90°, find the perimeter of the shaded sector.

[Take π = $\frac{22}{7}$ ]

31.4 cm

31.8 cm

40.0 cm

51.4 cm

71.4 cm

23.

If r = $(\begin{matrix} -2 \\ 3 \end{matrix})$ and s = $(\begin{matrix} -4 \\ -1 \end{matrix})$ , find r + 2s.

$(\begin{matrix} -10 \\ 1 \end{matrix})$

$(\begin{matrix} -10 \\ -1 \end{matrix})$

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

$(\begin{matrix} -6 \\ 2 \end{matrix})$

24.

If the bearing of Q from P is 120°, find the bearing of P from Q.

060°

210°

300°

240°

25.

Which of the following inequalities is represented on the number line, where n is a real number?

n ≥ -3

n < -3

n ≤ -3

n > -3

n = 3

26.

The point P(5,4) is reflected in the y-axis. Find its image.

(-5,4)

(5,-4)

(-4,5)

(4,-5)

27.

The population of a town in 1990 was 88,000. The population increased by 20% in 1998. Find the population in 1998.

70,400

94,600

96,800

105,600

28.

The scale of a map is 1 : 100,000. What is the distance (in km) between two towns 4 cm apart on the map?

0.04

0.4

4.0

400

29.

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

14.5

15.5

30.

The pie chart shows how Kwaku spends his monthly salary.

Use this information to answer the question below.

Kwaku earns GH₵630.00 a month. How much of this does he spend on food?

GH₵140.00

GH₵157.00

GH₵210.00

GH₵350.00

31.

The perimeter of a rectangle is 26 cm. If its length is 10 cm, find its area.

30 cm²

60 cm²

130 cm²

160 cm²

32.

Madam Nancy wants to know which of the teachers in her school is liked best by most of the students. Which of the following methods is most suitable for collecting the data?

Experiment

Database

Questionnaire

Observation

33.

Andrews drew three lines such that the length of the first one is 10 cm, the second is 15 cm longer than the first one and the third is 9 cm less than the second. Find the length of the third line.

4 cm

14 cm

34 cm

16 cm

34.

The ratio of boys to girls in a school is 9 : 11. If there are 400 pupils in the school, how many boys are there?

120

180

220

280

35.

A bag contains 5 red and 7 black balls of the same size. What is the probability of picking a black ball?

36.

In the diagram above, ∆ABC is an isosceles triangle. ∠ABD is 108°. Find the value of y.

37.

Write 2340000 in standard form.

2.34 x 10^-6

2.34 x 10^-5

2.34 x 10⁶

2.34 x 10⁷

38.

Which of the following is an even prime number?

39.

Tony shared $\frac{2}{3}$ of his plot of land equally among his three sons. What fraction of the plot did each get?

$\frac{2}{9}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{5}{9}$

40.

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

THEORY QUESTIONS

(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).

The sum of the interior angles of a regular polygon is 900^o. Find the number of sides of the polygon.

Using a ruler and a pair of compasses only, construct:

triangle XYZ such that length XY = 10 cm, angle XYZ = 30^o and length YZ = 9 cm;

perpendicular from Z to meet line XY at P;

iii

measure the:

length PZ;

angle XYZ.

calculate, correct to the nearest whole number, the area of triangle XYZ.

(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.

(a)

In a class of 39 students, 19 offer French and 25 offer Ga. Five students do not offer any of the two languages. How many students offer only French?

(b)

In the diagram above, AC is parallel to DG, angle BFG = 118° and angle ABE = 83°.

Find the value of

(i)

angle CBF;

(ii)

(c)

A fair die is thrown once.

(i)

Write down the set of all the possible outcomes.

(ii)

Find the probability of obtaining a multiple of 2.

(iii)

What is the probability of obtaining a prime number?

The ages of 20 school children were recorded as follows:

13	9	15	17	13
9	11	9	11	15
17	15	11	9	9
11	15	11	11	11

(a)

Make a frequency table for the data using the ages of 9, 11, 13, ..........

(b)

Use your table to calculate the mean age (correct to the nearest whole number).

(a)

Simplify: $\frac{1200 x 1260}{800}$ and write your answer in standard form.

(b)

A plot of land measures 25 m by 12 m. A portion of this plot measuring 8 m by 8 m is used for the cultivation of vegetables.

Find the area of the plot not cultivated.

(c)

The table below shows the performance of Aisha in her final examination.

Subject	Score
English Language	54%
Mathematics	36%
Ga	68%
Science	50%
Social Studies	32%

Draw a pie chart to represent this information.