OBJECTIVE TEST

Find the slope of the line 3x - 6y = 33.

-3

In a class of 23 students, the girls were 7 more than the boys. How many boys were in the class?

Given that a = $(\begin{matrix} 5 \\ 2n \end{matrix})$ and b = $(\begin{matrix} 2n -1 \\ 6 \end{matrix})$ .

If a = b, find the value of n.

If 2n - 5 = $\frac{1}{2}$ n, find the value of n.

$\frac{1}{3}$

$\frac{1}{2}$

2 $\frac{1}{2}$

3 $\frac{1}{3}$

Which of the following is not an integer?

0.5

-5

Use the diagram below to answer the question below

Find the value of x.

68^o

75^o

112^o

124^o

In the diagram, ML and PQ are parallel lines.

Find the value of v

32°

40°

58°

140°

180°

Change 124_five to a base ten numeral.

PQR is a right-angled triangle. The area of the triangle is 6 cm² and |QR| = 3 cm.

Find |PR|.

2 cm

3 cm

5 cm

6 cm

10.

Convert 206 to a base five numeral.

411_five

4011_five

3321_five

1311_five

1131_five

11.

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

12.

Solve for x, if $\frac{1}{2}$ x - 4x > 20

x < -13 $\frac{1}{3}$

x< -5 $\frac{5}{7}$

x > 5 $\frac{5}{7}$

x > 13 $\frac{1}{3}$

13.

Simplify 2⁸ ÷ 2³

2²⁴

2¹⁰

2⁵

2³

14.

From the diagram below, calculate the bearing of point X from Y.

035°

045°

135°

145°

225°

15.

Kwaku had 300 mangoes. He sold 240 of them. What is the percentage of the mangoes left?

20%

25%

26%

80%

16.

Which of the following best describes the statement: "The locus of a point which moves so that its distance from two fixed points are always equal"?

Bisector of angle

Perpendicular bisector

Circle

Two parallel lines

17.

Expand (6 – x)(6 + y)

36 – 6x + 6y – xy

36 – 6x – 6y + xy

36 – 6x – xy

36 + 6y – xy

18.

If 1 : x is equivalent to 6 $\frac{1}{4}$ : 25, find x.

6.25

100

19.

Solve the equation: 2x -3(x - 1) = 6

-3

-7

-9

20.

Arrange the following numbers from the highest to the lowest: $\frac{2}{3}$ , -7, 0.

-7, 0, $\frac{2}{3}$

-7, $\frac{2}{3}$ , 0

0, $\frac{2}{3}$ , -7

$\frac{2}{3}$ , 0, -7

21.

Which of the following numbers is the largest?

-70

-50

-3

-2

22.

Convert 39_ten to a base five numeral.

100111

1110

234

124

103

23.

A square of side 6cm has the same area as a rectangle of length 9 cm. Find the breadth of the rectangle.

3 cm

4 cm

6 cm

24 cm

36 cm

24.

Eighteen cards are numbered from 11 to 29. If one card is chosen at random, what is the probability that it contains the digit 2?

$\frac{3}{9}$

$\frac{7}{18}$

$\frac{5}{9}$

$\frac{11}{19}$

25.

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)

26.

What is the name of the line segment drawn to join any two points on the circumference of a circle?

arc

chord

radius

sector

segment

27.

If (x, y) → (x, 2y), find the image of (2 $\frac{1}{2}$ , - $\frac{1}{4}$ )

(2 $\frac{1}{2}$ , -2)

(2 $\frac{1}{2}$ , - $\frac{1}{2}$ )

(2, -2)

(2, - $\frac{1}{4}$ )

(2, 2 $\frac{1}{2}$ )

28.

Solve the inequality 3x + 6 ≤ 5x - 2.

x ≤ 2

x ≥ 2

x ≤ 4

x ≥ 4

29.

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.

Use this information to answer the question below.

Find the median mark.

30.

Which of the following inequalities is represented by the number line?

x ≤ -3

x ≥ -3

x < -3

x > -3

x = -3

31.

In the diagram below, PQR is an isosceles triangle. |PQ| = |PR|, ∠QPR = 40° and QRS is a straight line.

Find angle PRS.

40°

70°

100°

110°

140°

32.

The Venn diagram shows the number of pupils who offer Mathematics (M) and/or English (E) in a class.

Use this information to answer the question below.

How many pupils offer Mathematics?

33.

Kwame gets a commission of 20% on bread sold. In one week, Kwame's commission was ₵45,000.00. How much bread did he sell during that week?

₵205,000.00

₵220,000.00

₵225,000.00

₵235,000.00

34.

Write 1930.54 in standard form.

1.93054 X 10³

1.93054 X 10^-3

1.93054 X 10^-2

1.93054 X 10²

35.

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

Associative

Commutative

Distributive

Identity

Universal

36.

Given that x = 8, what type of angle is (9x + 8)^o?

Straight angle

Obtuse angle

Acute angle

Right angle

37.

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

784 cm²

196 cm²

49 cm²

14 cm²

38.

Find the rule of the mapping:

1	2	3	4	5	x
↓	↓	↓	↓	↓	↓
5	8	11	14	17	y

x + 2

x + 4

2x + 3

3x + 2

39.

The interior angle of a regular polygon is 120^o. How many sides has the polygon?

40.

Express the product of 162.5 x 0.5 in standard form.

81.25 x 10^-1

81.25 x 10

8.125 x 10^-1

8.125 x 10

0.8125 x 10^-2

THEORY QUESTIONS

(a)

Simplify:

(b)

Find the product of (2x - 3) and (2x + 3).

(c)

In the diagram, ABC is an equilateral triangle. Find the value of (x + y).

The following table gives the distribution of sales of soft drinks sold by the Jatokrom JSS canteen in one week.

Soft Drink	No. of Bottles Sold
Fanta	13
Pepsi Cola	21
Mirinda	14
Coca-cola	17
Sprite	7

Draw a pie chart to illustrate the sales.

(a)

Solve the inequality $\frac{2x - 1}{4}$ - $\frac{x - 2}{3}$ > 1

(b)

Find the value of the expression 2x - 3y if x = $\frac{1}{3}$ and y = - $\frac{1}{2}$ .

(c)

25 students in a class took an examination in Mathematics and Science. 17 of them passed in Science and 8 passed in both Mathematics and Science. 3 students did not pass in any of the subjects.

Find

(i)

how many passed in Mathematics;

(ii)

the probability of meeting a student who passed in one subject only.

(a)

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

(b)

The area of a trapezium is 31.5 cm². If the parallel sides are of lengths 7.3 cm and 5.3 cm, calculate the perpendicular distance between them.

(c)

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

Esi	-	92
Seth	-	85
Mary	-	65
Efe	-	x

(i)

Write down an expression for the mean (average) of the marks.

(ii)

If the mean is less than 80, write a linear inequality for the information.

(iii)

Find the possible marks Efe scored in the test. Represent your answer on the number line.

The table below gives the frequency distribution of the marks obtained in a class test by a group of 64 pupils.

Marks (Out of ten)	Frequency
2	9
3	14
4	13
5	10
6	5
7	8
8	2
9	3

(a)

Draw a bar chart for the distribution.

(b)

A pupil is chosen at random from the class. What is the probability that the pupil obtained 7 marks?

An English textbook costs GH₵ 25.00. The author of the book agreed to take 20% of the cost of each book sold. If 1,702 copies were sold, calculate the author's share.

Simplify:

In the diagram, MN = 13 cm, MP = 15 cm, MS = 12 cm and MS is perpendicular to NP.

Calculate length NP.