OBJECTIVE TEST

Find the value of x in the diagram.

28^o

30^o

34^o

60^o

If y = c + bx², find y when c = $\frac{14}{5}$ , b = $\frac{4}{5}$ and x = 2.

In the diagram, ABCD is a parallelogram; BC and AF are straight lines. Angle ABC = 110° and angle DEF = 40°. Find the angle marked θ.

30°

40°

50°

70°

110°

Which of the following numbers is the largest?

-70

-50

-3

-2

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

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

-2 < x < 3

-2 ≤ x < 3

-2 ≤ x ≤ 3

-2 < x ≤ 3

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

035°

045°

135°

145°

225°

The table below shows the day and night temperatures of a town during a week. Use it to answer the question below.

Week	Temperature (^oC)
Week	Day	Night
Monday	33	24
Tuesday	29	25
Wednesday	32	23
Thursday	34	26
Friday	32	24
Saturday	30	24
Sunday	30	25

Find, correct to one decimal place, the average day temperature for the week.

24.4 ^oC

30.2 ^oC

31.4 ^oC

32.2 ^oC

Use the mapping below to answer the question below.

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	-4	-2	0	2	m

What is the rule for this mapping?

x→ 2(x - 3)

x→ x - 5

x→ 2(x - 2)

x→ 2x-3

10.

If y = $\frac{x + 8}{x - 4}$ , find the value of y when x = 2.

-5

-4

11.

A man shared an amount of money between his two children, Esi and Ato in the ratio 2:3 respectively. If Ato received GH₵ 45.00, what was the total amount shared?

GH₵ 18.00

GH₵ 27.50

GH₵ 75.00

GH₵ 112.50

12.

Which of the following best describes the construction below?

Constructing an angle of 60°

Constructing the perpendicular bisector of AB

Constructing a circle about the midpoint of AB

Constructing an angle of 180°

13.

Given that 0.03 x y = 2.4, find the value of y.

0.08

0.8

8.0

80.0

14.

Express 87_ten as a base five numeral.

302_five

322_five

3022_five

3202_five

15.

Ama is 9 years older than Kwame. If Kwame is 18 years old, find the ratio of the age of Kwame to that of Ama.

3 : 2

1 : 3

2 : 3

2 : 1

16.

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?

$\frac{1}{9}$

$\frac{1}{8}$

$\frac{1}{4}$

$\frac{19}{53}$

$\frac{19}{108}$

17.

The value of an obtuse angle lies between

0° and 90°

90° and 180°

90° and 270°

180° and 360°

18.

The stem and leaf plot shows the weights (kg) of cocoa bags weighed in a week.

Use the information to answer the question below:

Stem	Leaf
4	0,5,7,9
5	1,3,4,5,7,8
6	0,2,3,4,4,4,4,5,6,8
7	1,2,3,4,5,8,8,9
8	2,3,5,6,9
9	4,5

What is the median weight of the bags of cocoa?

62 kg

65 kg

61 kg

68 kg

19.

Factorize $\frac{1}{4}$ px² + $\frac{1}{8}$ px.

$\frac{1}{4}$ px(x + 2)

$\frac{1}{4}$ px(x + $\frac{1}{2}$ )

$\frac{1}{8}$ px( $\frac{1}{2}$ x + 2)

$\frac{1}{8}$ px(x + 2)

20.

A graph of a straight line AB is shown below.

Use it to answer the question below

Find the coordinates of the point at which the line cuts the y-axis.

(1, 0)

(0, 1)

(-1, 0)

(0, -1)

(0, 0)

21.

A ribbon is 4 m long. How many pieces, each 30 cm long, can be cut from the ribbon?

22.

A map of a large town is drawn to the scale of 1 : 100,000. What is the distance in kilometres (km) represented by a line segment 4 cm along the map?

0.04 km

0.4 km

4 km

40 km

400 km

23.

A bottle of soft drink costs ₵200.00. The commission paid on one bottle is 2% of the cost price. Find the commission paid on 24 bottles of the soft drink.

₵96.00

₵296.00

₵400.00

₵4,704.00

₵4,800.00

24.

What is the rule for the mapping below?

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	2	4	8	16	32

y = 2x + 2

y = 2^x

y = x + 2

y = x + 1

y = 2x

25.

Simplify:

26.

Use it to answer the question below.

How many pupils speak neither Twi nor Ga?

27.

In the diagrams below, triangle A₁B₁C₁ is an enlargement of triangle ABC. Determine the scale factor.

0.50

0.75

2.00

4.00

28.

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

Straight angle

Obtuse angle

Acute angle

Right angle

29.

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

30.

List the members of the set {2 ≤ x ≤ 5}.

{2, 5}

{2, 3, 4}

{2, 3, 5}

{2, 3, 4, 5}

31.

The diagram shows the graph of a linear relation of the form y = mx + c.

Use the graph to answer the question below

Find the slope of the relation.

-2

-1

32.

If a : 27 = 6 : 18, find a.

33.

Given that m = $\frac{b}{2}$ - t, make t the subject.

t = $\frac{b - 2m}{2}$

t = $\frac{2m - b}{2}$

t = $\frac{2b - m}{2}$

t = $\frac{b + 2m}{2}$

34.

In the diagram, AB is parallel to DE, angle ABC = 81^o and angle DCE = 20^o.

Use the information to answer the equestion below:

Find the value of y.

20^o

81^o

79^o

101^o

35.

Simplify 348.94 - 188.34

60.60

60.68

160.60

200.60

206.60

36.

It costs a carpenter GH₵ 25.00 to make a chair. How much should it be sold to make a profit of 40%?

GH₵ 15.00

GH₵ 35.00

GH₵ 40.00

GH₵ 50.00

37.

Find x when y = 37 for the above mapping

38.

If 2y = 6 – 3x, find y when x = 0

–3

–2

39.

Find the value of n, if

25.003 = (2 x 10)+(5 x 1) + (3 x n)

0.001

0.011

0.01

0.1

40.

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

200

223

280

300

375

THEORY QUESTIONS

(a)

Simplify 2 $\frac{3}{4}$ ÷ $(3 \frac{3}{8} - 1 \frac{1}{2})$

(b)

There are 50 pupils in a class. Out of this number, $\frac{1}{10}$ speak French only and $\frac{4}{5}$ of the remainder speak both French and English. If the rest speak English only,

(i)

find the number of students who speak

(α)

both French and English;

(β)

only English.

(ii)

Draw a Venn diagram to illustrate the above information.

In a class of 30 girls, 17 play football, 12 play hockey and 4 play both games.

Draw a Venn diagram to illustrate the given information.

How many girls play:

one or two of the games;

none of the two games?

In the diagram, ABCD is a circle of radius 14 cm and centre O. Line BO is perpendicular to line AC. Calculate, the total area of the shaded portions.

[Take π = $\frac{22}{7}$ ]

(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.

A landlady rented out her house for ₵240,000.00 for one year. During the year she paid 15% of the rent as income tax. She also paid 25% of the rent as property tax and spent ₵10,000.00 on repairs.

Calculate:

(a)

The landlady's total expenses.

(b)

The remainder of the rent after the landlady's expenses.

(c)

The percentage of the rent she spent on repairs.

A property worth GH₵ 10,480.00 is shared between a widow and her 10 children in the ratio 1:4 respectively. The children shared their portion equally. Find each child's share.

The data shows the distribution of marks in a class test.

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

Use the data to answer the following questions:

make a Stem and Leaf plot of the data;

how many students scored more than 10 marks and less than 20 marks?

iii

what is the probability of a student scoring less than 20 marks?

The table shows the number of marbles students sent to class for Mathematics lesson.

*Number of Marbles(x)*	*Number of Students(f)*	fx
1	4	-
2	5	-
3	-	42
4	9	-
5	-	30
6	2	12

(a)

Copy and complete the table.

(b)

How many:

(i)

students were in the class?

(ii)

marbles were brought altogether

(iii)

marbles did most of the students bring

(c)

Calculate, correct to the nearest whole number, the mean number of the marbles brought for the lesson.

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32