OBJECTIVE TEST

A pencil sells at ₵180.00 and an eraser sells at ₵120.00. how much will you pay if you buy three pencils and four erasers?

₵1,020.00

₵1,080.00

₵1,200.00

₵1,280.00

₵2,100.00

One of the factors of the expression 4m² + 12m - 8m - 24 is (4m - 8). Find the other factor.

m - 3

m + 3

2m + 3

2m - 3

Kobby is 5 years older than his brother. If Kobby is 13 years old, how old is his brother?

7 years

8 years

10 years

18 years

The difference between two numbers is 168. If the smaller number is 113, find the other number.

223

271

281

291

Given that a = $(\begin{matrix} -3 \\ 4 \end{matrix})$ and b = $(\begin{matrix} 1 \\ 2 \end{matrix})$ .

Find b - a.

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

$(\begin{matrix} -4 \\ 2 \end{matrix})$

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

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

$(\begin{matrix} 4 \\ -2 \end{matrix})$

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

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

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

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

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

Simplify (2⁶ x 3⁴) ÷ (2⁴ x 3²)

2² x 3²

2² x 3⁶

2¹⁰ x 3²

2¹⁰ x 3⁶

At eight O'clock, which of the following is the angle between the hour and the minute hands of the clock?

150^o

120^o

90^o

60^o

What type of triangle is ∆PQR?

Equilateral

Isosceles

Scalene

Right-angled

Obtuse-angled

10.

Solve: 4^x = 32.

2½

3½

11.

How many faces has a rectangular pyramid?

12.

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

$(\begin{matrix} 0 \\ 14 \end{matrix})$

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

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

$(\begin{matrix} 6 \\ 14 \end{matrix})$

13.

A car travels 72 kilometres in an hour. Find its speed in metres per second.

5 ms^-1

20 ms^-1

50 ms^-1

200 ms^-1

1200 ms^-1

14.

Evaluate

15.

If 26039 oranges are shared equally among 13 women, how many oranges does each woman receive?

1203

230

2003

2300

16.

Express 0.055 as a common fraction

$\frac{11}{40}$

$\frac{5}{18}$

$\frac{1}{40}$

$\frac{11}{200}$

17.

Find the rule for the following mapping:

x	0	1	2	3	4
↓	↓	↓	↓	↓	↓
y	-1	1	3	5	7

y = 2x + 1

y = 2x – 1

y = x²-1

y=x²+1

18.

Find the sum of all even numbers between 70 and 80.

200

223

280

300

375

19.

An angle which is more than 90° but less than 180° is

an acute angle

a right angle

an obtuse angle

a reflex angle

20.

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

21.

In triangle XYZ, |XZ| = 13 cm, |XY| = 12 cm and angle XYZ = 90°. Find |YZ| if the area of the triangle is 30 cm².

25 cm

14 cm

12.5 cm

5 cm

1 cm

22.

Find the integers within the interval 5 < x < 9

{5,6,7}

{5,6,7,8}

{5,6,7,8,9}

{6,7,8}

{6,7,8,9}

23.

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

How many students are in the class?

24.

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

060°

210°

300°

240°

25.

Find the rule of the mapping

y = 2x + 2

y = -2x + 2

y = 4x

y = -2x + 5

26.

J = $\frac{1}{2}$ mv², If v = 4 and J = 12, find m

1.5

3.0

3.6

6.3

27.

Write two hundred thousand and fifty seven in figures

20,057

200,057

2,000,057

20,000,057

200,570

28.

Multiply 247 by 32.

6916

7804

7904

1235

29.

Simplify $\frac{30}{5(-2)}$

-10

-6

-3

30.

A graph of a straight line AB is shown below.

Use it to answer the question below

Find the gradient of the line AB

31.

Factorize 2pq + 6p -6q - 18.

2(p - 3)(q - 3)

2(p + 3)(q + 3)

2(p - 3)(q + 3)

2(p + 3)(q - 3)

32.

Cement and sand were mixed in the ratio 2:5. How many kilograms of cement was contained in the 35 kg of the mixture?

7 kg

10 kg

14 kg

88 kg

33.

Find the Least Common Multiple (LCM) of the numbers 5,10 and 12.

2 x 3 x 5

2 x 3² x 5

2² x 3 x 5

2² x 3² x 5²

34.

In 1995, 215 boys and 185 girls were admitted into a Senior Secondary School. Find, correct to the nearest whole number, the percentage of girls admitted.

46%

47%

53%

54%

35.

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

36.

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

37.

Simplify 3(5a² + 2c) - 2a(1 - 3a) - 6c.

21a² - 2a - 6c

13a² - 2a - 12c

13a² - 2a

21a² - 2a

38.

Simplify 0.1 x 0.02 x 0.003 (leaving your answer in standard form)

6x10^-7

6x10^-6

6x10⁵

6x10⁶

39.

How many edges has a cube?

40.

Use the graph of the straight line below to answer the question below

Find the gradient of line MN.

–2

–1

$\frac{3}{2}$

THEORY QUESTIONS

(a)

Evaluate $\frac{0.035 x 1.02}{0.0015}$ , leaving the answer in standard form.

(b)

An amount of GH₵4,200.00 was shared betwen Aba and Kwame. If Aba had $\frac{5}{7}$ of the amount,

(i)

how much did Kwame receive?

(ii)

what percentage of Aba's share did Kwame receive?

(c)

Find the value of x in the diagram below.

(a)

Solve $\frac{4x - 3}{2}$ = $\frac{8x - 10}{8}$ + 2 $\frac{3}{4}$

(b)

Using a scale of 2 cm to 1 unit on both axes, draw two perpendicular lines OX and OY on a graph sheet for the x-axis from -5 to 5 and the y-axis from -6 to 6.

(i)

Plot the points A(2, 3) and B(-3, 4) and join them with a long straight line.

(ii)

Plot on the same graph sheet, the points C(4, 2) and D(-2, -3) and join them with a long straight line to meet the line through AB.

(iii)

Measure the angle between the lines through AB and CD.

(iv)

Find the coordinates of the point at which the lines through AB and CD meet.

(a)

The pie chart shows angles representing the number of candidates who applied for admission into four programmes at a senior secondary school. The number of pupils who applied were 1080.

Find:

(i)

the angle x° representing the Vocational programme.

(ii)

the number of candidates who applied for Business programme.

(iii)

correct to the nearest whole number the percentage of the number of applicants who applied for General Programme.

(b)

The data below shows the distribution of the masses of pupils in a school. On a graph paper, draw a bar chart for the distribution.

Mass (kilograms)	19	20	21	22	23	24
Frequency	5	9	19	25	18	4

(a)

The following are the ages in years of members of a group: 8, 11, 8, 10, 6, 7, 3x, 11, 11.

If the mean age is 9 years, find

(i)

(ii)

the modal age

(iii)

the median age.

(b)

Draw a bar chart for the distribution

Solve:

The ratio of boys to girls in a school is 12:25. If there are 120 boys.

i) how many girls are in the school?
ii) what is the total number of boys and girls in the school?

Simplify:

(a)

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

(i)

triangle XYZ with |XY| = 9 cm,
|YZ| = 12 cm and |XZ| = 8 cm.

(ii)

the perpendicular bisector of line XY.

(iii)

the perpendicular bisector of line XZ.

(b)

(i)

Label the point of intersection of the two bisectors as T;

(ii)

With point T as center, draw a circle of radius 6 cm.

(c)

Measure:

(i)

|TX|;

(ii)

angle XYZ.