OBJECTIVE TEST

Find the difference between 432_five and 143_five

234_five

334_five

1130_five

1310_five

Tins of milk each of volume 77 cm³ and weight 170 g were packed into an empty carton of volume 1540 cm³ and weight 500 g.

How many tins of milk can be packed to fill the carton?

How many lines of symmetry has a rectangle?

Write the rule for the mapping:

x	1	2	3	4
↓	↓	↓	↓	↓
y	1	3	5	7

x→2x + 1

x→2x - 1

x→2(x + 1)

x→2(x - 1)

x→x²- 1

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

E is the point (4, 2) and F the point (2, 1). Calculate the gradient of the straight line EF.

- $\frac{1}{2}$

-2

$\frac{1}{2}$

Expand the expression 2(3a + 2b)

6a + 2b

5a + 4b

6a + 4b

10ab

12ab

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.

Find the total number of goals scored by the team.

Find the value of $\sqrt{6 \frac{1}{4}}$

5.0

4.9

2.5

2.4

1.2

10.

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

11.

If set B is a subset of set A, then

sets A and B have the same number of elements.

some members of set B can be found in set A.

no member of set B is in set A.

all the members of set B are in set A.

12.

Given that r = $(\begin{matrix} -3 \\ 4 \end{matrix})$ and s = $(\begin{matrix} 1 \\ -3 \end{matrix})$ , find r - 2s.

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

$(\begin{matrix} -5 \\ 10 \end{matrix})$

$(\begin{matrix} -2 \\ 10 \end{matrix})$

$(\begin{matrix} -1 \\ 10 \end{matrix})$

13.

Make m the subject of the relation f = $\frac{t}{s}$ - m

m = $\frac{t}{s}$ + f

m = $\frac{t}{s}$ - f

m = $\frac{fs - t}{s}$

m = f - $\frac{t}{s}$

m = -f - $\frac{t}{s}$

14.

Use the graph below to answer the question below.

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

How many minutes did the cyclist spend at town Y?

15 minutes

20 minutes

30 minutes

45 minutes

60 minutes

15.

A number is selected at random from: 25,26,27,28,...,35. Find the probability that the number selected is a prime number.

6⁄11

3⁄11

2⁄11

1⁄11

16.

Number on die	1	2	3	4	5	6
Frequency	4	3	3	2	3	5

The table shows the results when a student tossed a die many times.

Use the information to answer the question below

How many times did the student throw the die?

17.

Ama is N years old now. How old will she be in 10 years?

(N – 10) years

(N + 10) years

(10 – N) years

10 N years

$\frac{10}{N}$ years

18.

The table below gives the ages of members of a juvenile club.

Use it to answer the question below

Age in years	8	9	10	11
Frequency	5	10	6	9

What is the modal age of the members of the club?

8 years

9 years

10 years

11 years

19.

Find the circumference of a circle with radius 3.5 cm.

[Take π = $\frac{22}{7}$ ]

11 cm

22 cm

35 cm

38.5 cm

20.

Use the information below to answer the question below.

A rectangular tank has length 3 m, width 2 m and height 1.5 m.

The Alpha Water Company charges ₵40,000.00 for every 1 m³ of water.

Find how much it will cost to fill the tank completely.

₵180,000.00

₵240,000.00

₵300,000.00

₵360,000.00

21.

If u = $(\begin{matrix} 2 \\ 1 \end{matrix})$ and v = $(\begin{matrix} -1 \\ 3 \end{matrix})$ , find 3u + 2v.

$(\begin{matrix} 8 \\ 9 \end{matrix})$

$(\begin{matrix} 4 \\ -2 \end{matrix})$

$(\begin{matrix} 4 \\ 0 \end{matrix})$

$(\begin{matrix} 4 \\ 9 \end{matrix})$

$(\begin{matrix} -4 \\ -9 \end{matrix})$

22.

P = {odd numbers between 20 and 30} and Q = {23, 29}. Which of the following is true?

P ⊂ Q

Q ⊂ P

P = Q

P ∩ Q = Φ

23.

Use the information below to answer the question below.

The ages in years of 9 children at a birthday party are 2, 3, 3, 3, 4, 5, 5, 5, 6.

If a child is picked at random, what is the probability that he is 5 years old?

$\frac{2}{9}$

$\frac{1}{3}$

$\frac{4}{9}$

$\frac{5}{9}$

$\frac{2}{3}$

24.

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

25.

The diagram above is the net of a

cone.

cuboid.

rectangular prism.

pyramid

26.

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.

What is the modal mark?

27.

Which of the following is not a factor of 18?

28.

There are 18 girls and 22 boys in a class. A prefect is to be chosen at random from the class. What is the probability that the prefect will be a girl?

$\frac{1}{18}$

$\frac{9}{20}$

$\frac{11}{20}$

$\frac{9}{11}$

29.

The table below gives the ages of members of a juvenile club.

Use it to answer the question below

Age in years	8	9	10	11
Frequency	5	10	6	9

How many people are in the club?

30.

In the diagrams above Fig. I is an enlargement of Fig. II. Find the side EF of Fig. II.

20 cm

5 cm

4 cm

3 cm

31.

Solve 25x + 450 ≤ 3000.

x ≥ 102

x ≤ 102

x ≥ 138

x ≤ 138

32.

The marks obtained by 10 boys in a test are 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.

Use this information to answer the question below

Calculate the mean score.

4.4

5.4

6.0

6.4

9.0

33.

The mean of the numbers 5, 2x,4 and 3 is 5. Find the value of x.

34.

Subtract (7x-3) from (5-3x).

10x-8

4x-8

8-10x

2-10x

35.

Find the simple interest on ₵28,000.00 at 3 $\frac{1}{2}$ % per annum for 6 months.

₵490.00

₵560.00

₵980.00

₵4,000.00

₵5,880.00

36.

A boy throws a die once. What is the probability of getting the number 4?

$\frac{1}{6}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{5}{6}$

37.

Express 3.75 as a mixed fraction.

3 $\frac{1}{5}$

3 $\frac{1}{4}$

3 $\frac{1}{3}$

3 $\frac{3}{4}$

38.

L = $(\begin{matrix} 3 \\ -1 \end{matrix})$ and K = $(\begin{matrix} -4 \\ 2 \end{matrix})$ .

Find L + K.

$(\begin{matrix} -1 \\ -1 \end{matrix})$

$(\begin{matrix} -1 \\ 1 \end{matrix})$

$(\begin{matrix} 1 \\ -1 \end{matrix})$

$(\begin{matrix} 7 \\ -1 \end{matrix})$

$(\begin{matrix} 7 \\ 1 \end{matrix})$

39.

Three children share an amount of ₵910,800.00 in the ratio 2 : 3 : 4. What will be the highest share?

₵202,400.00

₵303,600.00

₵404,800.00

₵455,400.00

40.

A quadrilateral with one pair of opposite sides parallel is called

kite.

rectangle.

square.

trapezium.

THEORY QUESTIONS

Simplify: 5(6 - ab) + 2(-7 + 3ab)

The equation of a straight line is given by 3x - 2y - 6 = 0. Find the:
(i) gradient of the line;
(ii) y-intercept

Adwoa received a commission of 20% on bread she sold. In one week, Adwoa's commission was GH₵ 540.00.
(i) How much bread did she sell during that week?
(ii) Find her average daily commission.

(a)

A car runs on the average at 45 km to 5 litres of fuel. Calculate how many litres of fuel are required for a journey of 117 km.

(b)

(i)

Solve for x in the inequality $\frac{2}{3}$ (2x + 5) ≤ 8 $\frac{2}{3}$

(ii)

Illustrate the solution on the number line.

(c)

A factory increased its production by 22 $\frac{1}{2}$ % and produced 49,000 tonnes. How many tonnes was it producing before?

(a)

The diagram is a triangle ABC with the side AC produced to D. Find

(i)

the value of x;

(ii)

angle ACB.

(b)

The simple interest formula, I = $\frac{PTR}{100}$ , gives the interest, I on a principal, P invested at a rate, R per annum for time, T years.

(i)

Find the simple interest on GH₵ 3,600.00 at 15% per annum for 2 years.

(ii)

Make R the subject of the simple interest formula.

(iii)

At what rate per annum will GH₵ 6,000.00 earn GH₵ 2,400.00 simple interest in 2 years?

The following marks were obtained by pupils in a test.

6	4	8	2	8
6	8	8	8	10
8	9	8	6	10
2	2	6	6	6

(a)

Construct a frequency distribution table for the data.

(b)

What is the modal mark?

(c)

Calculate the mean mark.

(d)

How many pupils scored more than 6 marks?

(e)

What is the probability that a student chosen at random obtained 2 marks?

(a)

(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 A(2, 5), B(2, 2) and C(4, 2). Join the points A, B and C to form triangle ABC.

(iv)

Using the y as mirror line, draw the image triangle A₁B₁C₁ of the triangle ABC such that A → A₁, B → B₁ and C → C₁. Write down the coordinates of A₁, B₁ and C₁.

(v)

Draw the image triangle A₂B₂C₂ of triangle ABC under anticlockwise rotation of 180° about the origin where A → A₂, B → B₂ and C → C₂. Write down the coordinates of A₂, B₂ and C₂.

(b)

Given that a = $(\begin{matrix} -3 \\ 2 \end{matrix})$ , b = $(\begin{matrix} -5 \\ -7 \end{matrix})$ and c = $(\begin{matrix} -4 \\ -1 \end{matrix})$ , evaluate 2a - 3c + b.

Solve:

The ratio of boys to girls in a school is 12:25. If there are 120 boys.

i) how many girls are in the school?
ii) what is the total number of boys and girls in the school?

Simplify: