OBJECTIVE TEST

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, F will be

104.0

78.4

72.0

65.6

40.0

Find 2 $\frac{1}{2}$ % of ₵2,000.00

₵40.00

₵50.00

₵100.00

₵800.00

₵5,000.00

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

–10.5

–4.5

4.5

10.5

What is the image of 3 in the mapping x → 3x + 7?

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?

The table below gives the number of goals scored by a football team in a league season:

Number of goals scored in a match	0	1	2	3	4	5
Frequency	1	7	6	4	1	1

Use it to answer the question below.

What is the total number of matches played in the league season?

Mr. Mensah withdrew some money from the bank. He gave $\frac{1}{2}$ of it to his sons and $\frac{1}{3}$ to his daughter. If he had ₵500.00 left, how much did he take from the bank?

₵600.00

₵750.00

₵1500.00

₵2000.00

₵3000.00

John's uncle sent him ₵120,000.00 through a bank which charges 5% commission. How much commission was paid?

₵5,000.00

₵6,000.00

₵7,000.00

₵7,200.00

The diameter of a circular tray is 28 cm. Find the area of the tray.

[Take π = $\frac{22}{7}$ ]

44 cm²

88 cm²

154 cm²

616 cm²

2464 cm²

10.

Express 30 cm as a percentage of 2 m.

0.5%

1.5%

6.7%

15%

66.7%

11.

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

0.08

0.8

8.0

80.0

12.

Find the simple interest on ₵15,000.00 at rate of 20% per annum for 5 years.

₵10,000.00

₵15,000.00

₵30,000.00

₵50,000.00

₵90,000.00

13.

Find the area of the parallelogram PQRS

20 cm²

21 cm²

48 cm²

60 cm²

240 cm²

14.

In an enlargement length AB = 3 cm and the length of its image A₁B₁ = 15 cm. Calculate the scale factor.

$\frac{1}{5}$

$\frac{2}{3}$

15.

Use the mapping below to answer the question below

5 → 10_five

10 → 20_five

20 → 40_five

40 → x_five

y → 310_five

Find the value of x

30_five

100_five

110_five

120_five

130_five

16.

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

17.

If x + 5 = -7, find the value of $\frac{x}{6}$ .

-5 $\frac{5}{6}$

-2

- $\frac{1}{3}$

18.

Expand: (2a - b)(a - b)

2a² + 3ab - b

2a² - 3ab - b²

2a² + 3ab + b

2a² - 3ab + b²

19.

Express 962 in standard form.

96.2 x 10

9.62 x 10²

0.962 x 10³

0.0962 x 10⁴

20.

Convert 42 to a base two numeral.

1001010_two

1010010_two

1010100_two

101010_two

21.

Express 34 m 5 cm 6 mm in millimetres.

3,456 mm

34,056 mm

34,506 mm

340,506 mm

22.

Which of the following is represented by vector AB→ in the diagram above?

(5 cm, 045°)

(5 cm, 135°)

(5 cm, 180°)

(5 cm, 225°)

23.

Forty percent of students in a class speak Ga and seventy five percent speak Twi. Each student speaks at least one of the two languages.

Use the information above to answer the question below.

If there are 40 students in the class, how many of them speak Twi?

24.

What is the rule for this mapping?

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	1	3	5	7	9

x→2x - 1

x→2(x - 1)

x→2x + 1

x→2(x + 1)

x→2x - 1

25.

Use the diagram below to answer the question below.

What is the value of b°?

68°

75°

105°

112°

124°

26.

In the diagram, QP is parallel to ST, angle QPR = 68^o and angle SRT = 40^o.

Use the information to answer the question below:

Find the value of angle PQR.

40^o

68^o

72^o

108^o

27.

Solve: 3(x - 5) > 15 - 4(8 - x).

x > -32

x > -2

x > 2

x > 32

28.

Solve the inequality: 7x - (10x + 3) ≥ -9

x ≥ 2

x ≤ 4

x ≥ 4

x ≤ 2

29.

The table below gives the number of goals scored by a football team in a league season:

Number of goals scored in a match	0	1	2	3	4	5
Frequency	1	7	6	4	1	1

Use it to answer the question below.

What is the mean number of goals scored by the team?

30.

For what value of x is 3^x = 81?

31.

A woman bought a sewing machine for ₵800,000.00 and sold it for ₵920,000.00. Find the percentage profit

12%

13%

15%

16.4%

32.

An article costs ₵60,000.00. The price was increased by 10%. Find the new price.

₵54,000.00

₵61,000.00

₵66,000.00

₵70,000.00

33.

If P = {7, 9, 13}, Q = {1, 7, 13}. Find P ∩ Q.

{1, 7, 13}

{1, 9, 13}

{7, 13}

{7, 9, 13}

{13}

34.

The pie chart below shows the performance of Kate in her final examination.

Use the diagram to answer the question below.

If Kate scored 60% in Social Studies, what was her score in Economics?

45%

54%

72%

90%

35.

Find the value of t in the diagram.

36.

Arrange the following numbers from the lowest to the highest: 0.5, 3, -5, 0.

0, 0.5, -5, 3

0, -5, 0.5, 3

-5, 0, 0.5, 3

-5, 0.5, 0, 3

37.

Find the missing number in the sequence below:

11,16,22,29,-,46,56.

38.

Simplify $(\begin{matrix} 4 \\ 5 \end{matrix})$ + $(\begin{matrix} -2 \\ 2 \end{matrix})$ + $(\begin{matrix} 1 \\ 6 \end{matrix})$

$(\begin{matrix} 2 \\ 13 \end{matrix})$

$(\begin{matrix} 3 \\ 13 \end{matrix})$

$(\begin{matrix} 5 \\ 13 \end{matrix})$

$(\begin{matrix} 6 \\ 13 \end{matrix})$

$(\begin{matrix} 7 \\ 13 \end{matrix})$

39.

List the members of the set

P = {factors of 30 which are odd}.

P = {2, 3, 5}

P = {1, 2, 3, 5}

P = {1, 3, 5, 15}

P = {2, 6, 10, 30}

40.

Find the missing numbers in the sequence 4, 8, 12, _ , _ , _ , 28

14, 16, 22

14, 18, 22

6, 18, 22

16, 20, 24

16, 22, 24

THEORY QUESTIONS

(a)

Using a scale of 2 cm to 2 units on both axes, draw on a graph sheet two perpendicular axes, 0x and 0y, for the interval -10 ≤ x ≤ 10 and -10 ≤ y ≤ 10.

(b)

On the same graph sheet, draw:

(i)

a quadrilateral ABCD with vertices A(2,4),B(2,8),C(8,8) and D(8,4);

(ii)

the image A₁B₁C₁D₁ of ABCD under a translation by vector $(\begin{matrix} -5 \\ -2 \end{matrix})$ , where A → A₁, B → B₁, C → C₁ and D → D₁;

(iii)

the image A₂B₂C₂D₂ of ABCD under a reflection in the y-axis, where A → A₂, B → B₂, C → C₂ and D → D₂.

(c)

(i)

What type of quadrilateral is ABCD?

(ii)

Find the gradient of A₂B₁.

(a)

Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes OX and OY on a graph sheet. On the same graph sheet, mark the x-axis from -10 to 10 and the y-axis from -10 to 10.

(i)

Plot A(2, 2), B(6, 2) and C(4, 6). Join AB, BC and AC

(ii)

Draw the image triangle A₁B₁C₁ of triangle ABC under a clockwise rotation of 90° about the origin, where A→A₁, B→B₁ and C→C₁.

(iii)

Draw the image triangle A₂B₂C₂ of triangle ABC under a reflection in the y-axis, where A→A₂, B→B₂ and C→C₂

(b)

When 12 is added to a certain number and the sum is multiplied by 4, the result is 60. Find the number

The diagram above is a plane figure made up of a rectangle of sides 50 cm by 28 cm and an equilateral triangle of height 24.25 cm. A circle is cut out of the rectangle as shown. If the circle touches three sides of the triangle,

Calculate

(a)

the perimeter of the figure;

(b)

the area of the remaining portion of the figure.

[Take π = $\frac{22}{7}$ ]

If m = $(\begin{matrix} 2x + 1 \\ 2 - 3y \end{matrix})$ , n = $(\begin{matrix} 6 \\ -8 \end{matrix})$ and (m + n) = $(\begin{matrix} 9 \\ -12 \end{matrix})$ , find the:

values of x and y;

components of m.

Solve the inequality:

$\frac{3}{4}$ (x + 1) + 1 ≤ $\frac{1}{2}$ (x -2) + 5.

Illustrate the answer in b(i) on a number line.

In the diagram, AB is parallel to CD.

Find the value of:

The table shows the distribution of marks of students in a class test.

Mark	1	2	3	4	5	6
Frequency	5	6	5	3	4	2

(a)

Using a graph sheet, draw a bar chart for the distribution.

(b)

Calculate the mean mark of the distribution correct to the nearest whole number.

The following is a record of scores obtained by 30 JSS form 2 pupils in a test marked out of 5.

5,	3,	2,	4,	5,	2,	4,	3,	1,	1
3,	4,	2,	3,	4,	5,	3,	4,	3,	2
4,	3,	1,	2,	2,	3,	3,	2,	4,	3

Score (x)	Tally	Frequency (f)	fx

(a)

Copy and complete the table.

(b)

Find the mean of the distribution.

(c)

If a pupil is selected at random from the form, what is the probability that he/she scored 4 marks?