OBJECTIVE TEST

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)

Which of the following is a finite set?

{2,4,6,8,...}

{1,2,3,4,...}

{...,2,3,5,7}

{3,6,9,12}

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

784 cm²

196 cm²

49 cm²

14 cm²

The diagram below shows a circle with centre O, S and T are points on the circle.

Use it to answer the question below

The line ST is called

an arc

a chord

a diameter

a radius

a segment

If a = -4 and b = 3, evaluate $\frac{3a + 2b}{ab}$ .

$\frac{3}{2}$

$\frac{1}{2}$

- $\frac{3}{2}$

Find the L.C.M of 10, 15 and 25.

120

150

300

If A = {2,6,8} and B = {4,6,8,10}, which of the following statements is true?

A ⊂ B

A ∩ B = {2,6,8}

A ∪ B = {2,4,6,8,10}

A ⊃ B

Evelyn saved GH₵ 35.48 every month for 8 months. How much did she save?

GH₵ 183.60

GH₵ 280.63

GH₵ 283.20

GH₵ 283.84

Correct 48,947.2547 to the nearest hundred.

490

48,900

48,950

49,000

10.

Simplify 4p + 6p² – 2p + 2p²

2p + 8p²

6p + 8p²

2p – 8p²

6p – 8p²

–4 + 10p

11.

A bag contains 6 white and 8 red balls. What is the probability that a ball picked at random will be a white ball?

$\frac{1}{7}$

$\frac{3}{7}$

$\frac{4}{7}$

$\frac{6}{7}$

12.

On a map 1 cm represents 4.5 km. What is the actual distance between two towns which are 4 cm apart on the map?

9 km

16 km

18 km

19 km

21 km

13.

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

0.50

0.75

2.00

4.00

14.

If n² + 1 = 50, find n

24.5

$\sqrt{51}$

15.

Solve $\frac{4k}{9}$ = 12.

16.

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.

Calculate the mean mark.

–54

5.4

540

17.

Expand (a + 4)(a + 6)

2a + 24

a² + 6a + 10

a² + 10a + 10

a² + 10a + 24

18.

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

19.

Write down all the integers within the interval 21 < y ≤ 27.

{21, 22, 23, 24, 25, 26, 27}

{22, 23, 24, 25, 26, 27}

{21, 22, 23, 24, 25, 26}

{22, 23, 24, 25, 26}

20.

If a * b = 2a – b, evaluate 4 * 3

21.

Which of the following is not an integer?

0.5

-5

22.

Find the truth set of the inequality 2y + 5 < 4y - 5.

{y:y > 5}

{y:y < 5}

{y:y > 1}

{y:y > 0}

23.

Which of the following sets of angles form the interior angles of a right angled triangle?

{20°, 50°, 90°}

{80°, 60°, 90°}

{45°, 45°, 90°}

{65°, 90°, 35°}

24.

The volume of a cylinder is 40Π cm³. If the height of the cylinder is 10 cm, find the base radius

1 cm

4 cm

2 cm

3 cm

25.

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

005°

085°

095°

265°

275°

26.

The marks obtained by 9 students in a test are 3, 3, 4, 5, 6, 7, 7, 7, 8.

Use this information to answer the question below.

Find the median

27.

If the area of the figure above is 60 cm², find x.

8 cm

9 cm

12 cm

16 cm

20 cm

28.

If 2x = 5(x - 2) + 7, find the value of x.

-5 $\frac{2}{3}$

-1

5 $\frac{2}{3}$

29.

Convert 320_five to a base ten numeral.

30.

Find the rule for the mapping:

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	4	2	0	-2	-4

y = 2x + 2

y = -2x + 2

y = 4x

y = -2x + 6

31.

The scores of 10 students in an examination are given as follows: 45, 12, 75, 81, 54, 51, 24, 67, 19 and 39. What is the median of the scores?

32.

Express 0.725 as a fraction in its lowest term.

33.

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

Use this information to answer the question below.

How many pupils study only Government?

34.

Find the tangent of the angle marked y in the diagram below.

$\frac{3}{5}$

$\frac{3}{4}$

$\frac{4}{5}$

$\frac{4}{3}$

$\frac{5}{3}$

35.

A boy sold some oranges at three for ₵500.00. If his total sales was ₵100,000.00, how many oranges did he sell?

300

400

500

600

36.

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

37.

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

–10.5

–9.0

–4.5

4.5

10.5

38.

The bearing of P from Q is 060^o. Find the bearing of Q from P

120^o

150^o

210^o

240^o

39.

On a map, two towns P and Q are 15.5 cm apart. The scale of the map is 1 cm: 4 km. Calculate the actual distance between P and Q.

15.5 km

31 km

46 km

60 km

62 km

40.

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?

$\frac{1}{9}$

$\frac{1}{8}$

$\frac{1}{4}$

$\frac{19}{53}$

$\frac{19}{108}$

THEORY QUESTIONS

(a)

Using a ruler and a pair of compasses only, construct ∆PQR such that angle PQR = 90°, |PQ| = 5.5 cm and |QR| = 8 cm.

(b)

Construct a perpendicular of PR from Q.

(c)

Locate M, the intersection of the perpendicular and PR.

(d)

Measure:

(i)

|MR|;

(ii)

|QM|.

(e)

Calculate, correct to the nearest whole number, the area of triangle QMR.

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?

(a)

Ama and Kofi shared the profit earned from their business in the ratio 3 : 4. The profit was ₵1,743,000.00

(i)

Find how much of the profit each person received.

(ii)

Kofi lent out his share of the profit at a rate of 20% per annum for 2 years. Find the interest on his share.

(iii)

What will be Kofi's total amount at the end of the 2 years?

(b)

Change 243_five to a base ten numeral.

(i)

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

(ii)

Mark on the same graph sheet, the x-axis from -5 to 5 and y-axis from -6 to 6.

(iii)

Plot the points P(4, 2), Q(2, 5) and R(2, 2). Join the points P, Q, R to form a triangle PQR

(iv)

Using the x-axis as a mirror line, draw the image P₁Q₁R₁ of the triangle PQR such that P→P₁, Q→Q₁, R→R₁

(v)

Write down the coordinates of P₁, Q₁ and R₁.

(vi)

Translate triangle PQR by the vector $(\begin{matrix} -1 \\ -1 \end{matrix})$ such that P→P₂, Q→Q₂, R→R₂

(vii)

Label the vertices of triangle P₂Q₂R₂

ξ = {1, 2, 3, 4, ...,18}
A = {Prime numbers}
B= {Odd numbers greater than 3}

(a)

If A and B are subsets of the Universal set, ξ, list the members of A and B.

(b)

Find the set

(i)

A ∩ B;

(ii)

A ∪ B.

(c)

(i)

Illustrate ξ, A and B on a Venn diagram.

(ii)

Shade the region for prime factors of 18 on the Venn diagram.

(a)

A trader sold 250 articles for ₵525,000.00 at a profit of 25%.

(i)

Calculate the cost price of each article.

(ii)

If the trader had wanted 45% profit on the cost price, how much should he have sold each of the articles?

(b)

Find the simple interest on ₵880,000.00 for 2 $\frac{1}{2}$ years at 3 $\frac{1}{4}$ % per annum