OBJECTIVE TEST

Calculate the bearing of town P from town K in the diagram below.

005°

085°

095°

265°

275°

Given the points S(5, -2) and T(3, 2), calculate the gradient of the line ST.

-2

- $\frac{3}{5}$

$\frac{1}{2}$

If r = $\frac{m + 1}{m - 2}$ , express m in terms of r.

m = $\frac{2r + 1}{r - 1}$

m = $\frac{2r + 1}{r + 1}$

m = $\frac{2r - 1}{r - 1}$

m = $\frac{2r - 1}{r + 1}$

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

0.4

0.04

0.004

0.0004

0.00004

A football field is 120 m long and 75 m wide. What is the perimeter of the field?

195 m

390 m

780 m

900 m

Make m the subject of the relation:

q = $\frac{1}{3}$ (m + n)h

m = $\frac{3q}{h}$ - n

m = 3q - hn

m = 3q + hn

m = $\frac{3q}{h}$ + n

Which of the following is the set of factors of 12?

{12, 6, 4, 3, 2, 1}

{12, 6, 4, 3, 2}

{12, 6, 4, 2}

{6, 4, 2, 1}

{6, 4, 3, 2}

Find the area of the trapezium MNOP.

120 cm²

72 cm²

60 cm²

48 cm²

38 cm²

A square of side 4 cm is enlarged by a scale factor of 3. Calculate the area of the enlarged square.

36 cm²

72 cm²

96 cm²

144 cm²

10.

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

11.

Ama is facing east. Through how many degrees should she turn clockwise to face north?

90°

135°

180°

225°

270°

12.

Simplify 15⁹ ÷ 15⁷

225

240

625

13.

Use the mapping below to answer the question below.

2³ → 8

2² → 4

2¹ → 2

2⁰ → a

2^-1 → b

The value of a is

$\frac{1}{2}$

14.

If x is an integer, list the members of the set, {2 ≤ x < 10}.

{3, 4, 5, 6, 7, 8, 9}

{2, 3, 4, 5, 6, 7, 8, 9}

{3, 4, 5, 6, 7, 8, 9, 10}

{2, 3, 4, 5, 6, 7, ,8, 9, 10}

15.

, find x when a = 2, b = -4 and c = -2.

16.

In the figure below, PQ and RS are straight lines. Find the value of the angle marked w°.

27°

53°

63°

127°

17.

Expand (2x + y)(2x - y).

2x² - y²

4x² - y²

2x² + 4xy - y²

4x² + 4xy - y²

18.

Given the vectors m = $(\begin{matrix} 5 \\ -1 \end{matrix})$ and n = $(\begin{matrix} -4 \\ 2 \end{matrix})$ , find 2m + n.

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

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

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

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

19.

Use the diagram below to answer the question below.

Find the angle marked b.

150^o

140^o

110^o

100^o

20.

If M = {Multiples of 4 between 10 and 25} and N = {even numbers between 11 and 23}, find M∪N.

{12,16,20}

{14,18,22}

{12,14,16,18,22}

{12,14,16,18,20,22,24}

21.

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

138

22.

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

23.

Mansah obtained 150 marks out of 240 marks in an English test. What was her percentage score?

33.33%

37.5%

41.67%

62.5%

79.1%

24.

What is the mode of the following numbers: 4, 5, 3, 3, 4, 2, 7, 6, 5, 4, 4, 1?

25.

Express 4037 in standard form.

4.037 x 10^-4

4.037 x 10^-3

4.037 x 10³

4.037 x 10⁴

26.

A woman deposited an amount of GH₵ 50,000.00 at a bank for 2 years at a rate of 20% per annum. Find the simple interest.

GH₵ 1,000.00

GH₵ 2,000.00

GH₵ 10,000.00

GH₵ 20,000.00

27.

Write the number 34.1 in standard form.

3.41 x 10^-2

3.41 x 10^-1

3.41 x 10⁰

3.41 x 10

28.

Which of the following statements is true?

8+4 < 10

7+4 < 10

6+4 < 10

5+4 < 10

29.

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

30.

The points M(1, 3) and N(4, 5) are in the number plane. Find the vector MN→.

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

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

$(\begin{matrix} 5 \\ 8 \end{matrix})$

$(\begin{matrix} -5 \\ -8 \end{matrix})$

31.

The total number of match sticks in 6 match boxes was 270. Find the total number of sticks in 20 similar boxes.

710

800

810

900

32.

In the above diagram, |RS| = |RT|. Find a

146°

81°

73°

65°

34°

33.

If R = $\frac{h}{2}$ + $\frac{d^{2}}{8h}$ , find R when d = 8 and h = 6.

3 $\frac{1}{6}$

4 $\frac{1}{3}$

4 $\frac{3}{4}$

4 $\frac{9}{16}$

34.

Use the following information to answer the question below.

The relation between the Celsius (C) and Fahrenheit (F) scale of temperature is given by:
C = $\frac{5}{9}$ (F - 32).

If C is –40, find the value of F

–104.0

–78.4

–72.0

–65.6

–40.0

35.

Expand – x(3 – 2x).

-2x² - 3x

2x² - 3x

-2x² + 3x

2x² + 3x

36.

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

37.

The bearing of Aboku from Bebeka is 055°. What is the bearing of Bebeka from Aboku?

035°

055°

125

235°

305°

38.

Calculate, correct to two decimal places, 0.61 ÷ 0.8

0.07

0.08

0.76

0.83

7.62

39.

There are 15 females in a debating club. If the ratio of females to males is 3:2, how many members are in the club?

40.

The volume of a cylinder is 20 π cm³. If the height of the cylinder is 5 cm, find the base radius.

1 cm

2 cm

3 cm

4 cm

THEORY QUESTIONS

(a)

If p = 4, a = 16, b = -5 and c = 3, evaluate p² - $\frac{(a - b)}{c}$

(b)

Solve the inequality 5x – 3(x – 1) ≥ 39. Illustrate your answer on the number line.

(c)

If x = $(\begin{matrix} -3 \\ 2 \end{matrix})$ and y = $(\begin{matrix} 4 \\ -1 \end{matrix})$ , find

(i)

x + 2y

(ii)

3x – y

If M = {Prime integers between 1 and 11} and N = {factors of 12}, find:
(i) M ∪ N
(ii) M ∩ N

Simplify 45 ÷ 3 + 2 x 8 - 12 + 42

In the diagram, x, y and z are angles on a straight line. If x^o : z^o = 2 : 3 and y = 80^o, find x.

Solve:

Multiply 0.03858 by 0.02, leaving the answer in standard form.

A cylindrical container of height 28 cm and diameter 18 cm is filled with water. The water is then poured into another container with a rectangular base of length 27 cm and width 11 cm. Calculate the depth of the water in the container. (Take π = 22⁄7)

The table below shows the distribution of pupils in a JSS form one (1) class who speak some of the Ghanaian languages.

Ghanaian Language	No. of students who speak the language
Nzema	5
Ga	20
Twi	30
Ewe	25
Fante	10

(a)

Draw a pie chart for the distribution.

(b)

What is the modal Ghanaian language?

(c)

If a pupil is selected at random from the form, what is the probability that he speaks Ga?

(a)

Using a ruler and a pair of compasses only, construct triangle XYZ, such that |XY| = 6cm, |XZ| = 8cm and |YZ| = 10cm.

(b)

(i)

Construct the mediator of line YZ

(ii)

construct the mediator of line XZ

(iii)

Locate O, the point of intersection of the mediators of lines YZ and XZ.

(iv)

With centre O and radius OY, draw a circle.

(c)

Measure the radius of the circle you have drawn in (b) (iv) above and hence calculate the circumference of the circle.

[ Take π = 3.14 ]

(a)

Given that a = $(\begin{matrix} -3 \\ 3 \end{matrix})$ and b = $(\begin{matrix} 4 \\ -6 \end{matrix})$ , calculate

(i)

a + 2b;

(ii)

$\frac{1}{2}$ (2a - b)

(b)

The number of pupils in a primary school is given in the table below:

Class	One	Two	Three	Four	Five	Six
Number of pupils	24	35	35	20	21	45

(i)

Find the number of pupils in the school.

(ii)

What is the mean number of pupils in a class?

(iii)

What percentage of pupils are in class six?

(c)

Convert 312_five to base ten numeral.