OBJECTIVE TEST

The product of three numbers is 1197. Two of the numbers are 3 and 19. Find the third number.

210

544

1175

What is the value of 3x² + 2x - 7 when x = -3?

-40

-33

A car costs GH₵12,500.00. A discount of 9% is given for cash payment. Find the cost of the car when payment is made by cash.

GH₵10,250.00

GH₵11,250.00

GH₵11,375.00

GH₵13,625.00

Express 1.25 as a mixed fraction in its lowest form.

1 $\frac{1}{25}$

1 $\frac{4}{25}$

1 $\frac{1}{4}$

$\frac{3}{4}$

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

Set A is called ...... of set B, when all the numbers of set A are also members of set B.

the universal set

the union set

the null set

a subset

an empty set

The point K(1,5) is rotated through 90^o anti-clockwise about the origin.

Find the coordinates of the image of K.

(5,-1)

(-5,1)

(-1,5)

(1,-5)

If 2^x = 8, what is the value of x?

Akosua buys 480 pineapples for ₵24,000.00. She sells all the pineapples for ₵28,000.00. Find her profit percent.

13.9%

16.7%

20%

40%

83.3%

10.

Express 1352 as a product of prime factors.

2³ x 13³

2³ x 13²

2² x 13³

2² x 13²

11.

In the diagram below, AB and CD are two intersecting straight lines. Find the value of the angle marked y.

130^o

115^o

65^o

60^o

12.

The following are the scores obtained by girls in a beauty contest: 12, 16, 19, 14, 17, 8, 11, 19.

What is the probability of obtaining a score of 19?

$\frac{1}{9}$

$\frac{1}{8}$

$\frac{1}{4}$

$\frac{19}{53}$

$\frac{19}{108}$

13.

Find the Greatest Common Factor (GCF) of 90, 126 and 72.

14.

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 only one subject?

15.

Arrange the following in ascending order of magnitude:

0.301,0.3,0.33,0.03.

0.03,0.3,0.301,0.33

0.03,0.301,0.3,0.33

0.33,0.3,0.301,0.03

0.33,0.301,0.3,0.03

16.

How many lines of symmetry has a rhombus?

17.

A boy walked 7 km on a bearing 060°. Which of the following diagrams shows his direction.

18.

John sold a car for GH₵60,000.00 and made a profit of 20%. What is the cost price of the car?

GH₵48,000.00

GH₵50,000.00

GH₵72,000.00

GH₵132,000.00

19.

When a number is doubled and the result is decreased by 9, the answer is 19. Find the number.

20.

Use the graph below to answer the question below.

The travel graph describes the journey of a cyclist from Town X to Town Y.

What was the average speed for the return journey from town Y to town X

100 kmh^-1

50 kmh^-1

33.33 kmh^-1

25 kmh^-1

20 kmh^-1

21.

Using the following mapping, find the missing numbers p and q.

x	1	2	3	4	5	6
↓	↓	↓	↓	↓	↓	↓
y	3	5	p	9	11	q

p = 6, q = 12

p = 6, q = 13

p = 7, q = 12

p = 7, q = 13

22.

Simplify: (2ab²)² x 3a³b.

6a⁴b⁵

12a³b⁴

12a⁶b⁴

12a⁵b⁵

23.

If $\frac{3}{15}$ is equivalent to $\frac{45}{a}$ , find a

225

150

135

24.

Which of the following polygons does not have a line of symmetry?

Kite

Isosceles triangle

Trapezium

Rhombus

25.

Use the diagram below to answer the question below.

Angles NTZ and QZT are

alternate angles.

corresponding angles

complementary angles

supplementary angles

26.

In an examination, 25% of the candidates failed to obtain the pass mark. The number of candidates who passed was 150. How many candidates failed?

113

100

27.

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

005°

085°

095°

265°

275°

28.

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

-2>y>2

-2≤ y < 2

-2 ≥ y > 2

-2 < y ≤ 2

29.

Find the missing number in the following binary operation:

	1	1	0	0	1	1	0
-	*	*	*	*	*	*	*
		1	1	1	0	1	1

111011

101001

100011

101110

101011

30.

Which of the following is an example of quantitative data?

Colour

Gender

Marital status

Length

31.

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

223

271

281

291

32.

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

–10.5

–9.0

–4.5

4.5

10.5

33.

The diagram is a square of side 2 cm in which is inscribed a circle with center O.

Use the information to answer the question below.

Find the area of the circle.

[Take π = $\frac{22}{7}$ ]

3.14 cm²

6.28 cm²

4.00 cm²

12.56 cm²

34.

Find the image of p(-3, 5) when rotated through 360^o about the origin.

(5, -3)

(-3, -5)

(-3, 5)

(-5, -3)

35.

What is the next term in the following set of numbers: {1, 3, 7, 15, 31, ...} ?

36.

Find the rule for the mapping:

1	2	3	4	...	t
↓	↓	↓	↓	↓	↓
9	20	31	42	...	...

t → 10t - 1

t → 8t + 1

t → 11t - 2

t → 7t + 2

37.

In the following diagram RS and WV are parallel lines. The value of the angle marked α is

38^o

52^o

58^o

64^o

38.

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

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

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

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

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

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

39.

The cost of 12 note books is GH₵ 54.84. Find the cost of one note book.

GH₵ 5.57

GH₵ 4.67

GH₵ 4.57

GH₵ 3.57

40.

What is the probability that a number greater than 5 shows up when a die is thrown?

5/6

1/6

2/3

1/3

THEORY QUESTIONS

(a)

Using a scale of 2 cm to 1unit on both axes, draw two perpendicular lines OX and OY on a graph sheet.

(b)

On this graph sheet, mark the x-axis from –5 to 5 and the y-axis from –6 to 6.

(c)

Plot on the same graph sheet the points A(-2, 4) and B(4, -5). Join the points A and B with the help of a ruler.

(d)

Using the graph , find

(i)

the gradient (slope) of the line AB;

(ii)

the value of x, when y = 0;

(iii)

the value of y when x = 2

(e)

Plot on the same graph sheet the points C(-3, -1) and D(3, 3). Join the points C and D. with the help of a protractor, measure the angle between the lines AB and CD. What is the gradient of the line CD?

Express

as a percentage.

Factorize: ay - y - a + 1.

In a fishing community of 9,400 people, the number of women exceeds the number of men by 1,500. Find the ratio of men to women in the community.

(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)

Mansah earns a salary of ₵10,000.00 per month as a sales girl. In addition to the salary, she is given a commission of 1.5% of whatever sales she makes in a month. In January this year, she made sales of ₵7,500,000.00. What was the total amount Mansah earned at the end of January?

(b)

The diagram below shows a circle with centre O and radius 14 cm. The shaded region AOB is a sector with angle AOB = 72°.

Find:

(i)

The length of the minor arc AB

(ii)

The area of the shaded sector AOB

[Take π = $\frac{22}{7}$ ]

(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).

(a)

Three numbers are in the ratio 2 : 3 : 4 and their average is 36.

(i)

Calculate the sum of the three numbers.

(ii)

Find the greatest number.

(b)

If costs ₵875,000.00 to tile a rectangular floor measuring 7m by 5m. How much does it cost to tile a floor measuring 8m by 4m if the same types of tiles are used?

(c)

It is estimated that the population of a village increases by 10 percent every five years. If the population of the village is 150,000 this year, what would be the estimated population ten years from now?