OBJECTIVE TEST

Arrange the following fractions in ascending order: 4 $\frac{1}{4}$ , 4 $\frac{1}{2}$ , 4 $\frac{1}{3}$

4 $\frac{1}{4}$ , 4 $\frac{1}{3}$ , 4 $\frac{1}{2}$

4 $\frac{1}{3}$ , 4 $\frac{1}{2}$ , 4 $\frac{1}{4}$

4 $\frac{1}{2}$ , 4 $\frac{1}{3}$ , 4 $\frac{1}{4}$

4 $\frac{1}{4}$ , 4 $\frac{1}{2}$ , 4 $\frac{1}{3}$

Write 3560 in standard form.

3.56 x 10^-4

3.56 x 10^-3

3.56 x 10³

3.56 x 10⁴

Express 5 as a percentage of 4.

125%

120%

25%

20%

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

200

223

280

300

375

Charles and Helen started a business with an amount of GH₵ 7,000.00. If their contributions were in the ratio 4:3 respectively, find Helen's contribution.

GH₵ 2,500.00

GH₵ 3,000.00

GH₵ 4,000.00

GH₵ 5,000.00

A trader bought 100 tubers of yam for GH₵ n each. All the yams were sold at GH₵ m each. Find the profit.

GH₵ 100(m - n)

GH₵ 100(m + n)

GH₵ 100(n - m)

GH₵ 100( nm )

Which of the following can be made from the net below?

Triangular prism

Square pyramid

Triangular pyramid

Cuboid

A shop increased all its prices by 10%. Calculate the new price for an article which previously sold for ₵7,500.00

₵6,750.00

₵7,575.00

₵7,800.00

₵8,250.00

₵8,350.00

The diagram above is the net of a

cone.

cuboid.

rectangular prism.

pyramid

10.

Correct 0.003858 to three significant figures

0.00385

0.00386

0.0039

386

11.

Expand and simplify: (a-2)(2a+3)

a² - a + 6

2a² + 7a - 6

2a² - a - 6

2a² - 12a + 6

12.

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.

What is the total number of pupils who study Government?

13.

Simplify: 14 $\frac{1}{3}$ - 2 $\frac{3}{8}$ + 5 $\frac{7}{12}$

6 $\frac{3}{8}$

7 $\frac{5}{12}$

17 $\frac{5}{12}$

17 $\frac{13}{24}$

14.

Kwame is facing west. Through how many degrees should he turn anti-clockwise to face north?

90^o

180^o

270^o

360^o

15.

Simplify 2ab² × 3a²b

5a³b³

5a²b²

6a³b³

5a²b²

36ab

16.

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

17.

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

18.

18 = 2 x 3²; 42 = 2 x 3 x 7; 90 = 2 x 3² x 5

Use the information above to answer the question below.

Find the LCM of 18, 42 and 90.

2 × 3²

2 × 3 × 7

2 × 3² × 5

2 × 3 × 5 × 7

2 × 3² × 5 × 7

19.

Find the difference between the values of (2d)² and 2d², when d = 3.

20.

Express 1352 as a product of prime factors.

2³ x 13³

2³ x 13²

2² x 13³

2² x 13²

21.

A man was 24 years old when his son was born. Now he is three times as old as his son. Find the age of the son.

6 years

12 years

18 years

36 years

22.

Calculate the volume of a cylinder with radius 7 cm and height 10 cm.

[Take π = $\frac{22}{7}$ ]

220 cm³

440 cm³

1,540 cm³

3,080 cm³

23.

What is the fifth term of the sequence $\frac{1}{3}$ , $\frac{2}{5}$ , $\frac{7}{15}$ ...?

$\frac{4}{9}$

$\frac{5}{11}$

$\frac{6}{13}$

$\frac{3}{5}$

24.

A football match starts at 2.20 p.m. and lasts for 1 hour 50 minutes. At what time will the game end?

3.10 p.m.

4.10 p.m.

5.10 p.m.

6.10 p.m.

25.

If x = {1, 2, 3, 4, 5}, find the truth set of 2x + 1 < 7

{1, 2}

{2, 3}

{1, 2, 3}

{3}

{2}

26.

A piece of cloth is 8.4 m long. If 30 cm is needed to sew a napkin, how many napkins can be sewn from this piece of cloth?

27.

Two sets which have no common members are known as ......

equal sets

equivalent sets

empty sets

disjoint sets

union

28.

Make m the subject of the relation $\frac{1}{m}$ = $\frac{1}{p}$ + $\frac{1}{r}$ .

m = $\frac{pr}{r + p}$

m = $\frac{pr}{r - p}$

m = $\frac{r - p}{pr}$

m = $\frac{r + p}{pr}$

29.

State the rule for the mapping

x	1	2	3	4
↓	↓	↓	↓	↓
y	15	30	46	60

x → 15x

x → 15 + x

x → $\frac{15}{x}$

x → 10 + 5x

30.

Adjoa travelled 12km due north and 5km due east. How much far was she from her starting point?

60km

17km

13km

7km

31.

In the diagram below, P is the set of numbers in the circle and Q is the set of numbers in the triangle.

What is P ∩ Q?

{1, 2, 4}

{5, 6}

{7}

{1, 2, 4, 5, 6, 7}

{ }

32.

How many lines of symmetry has an equilateral triangle?

33.

The marks obtained by 13 candidates in a test are 5, 7, 2, 9, 11, 10, 2, 12, 2, 9, 3, 18 and 2.

Use this information to answer the question below.

What is the mode?

34.

If Y = 595 and Z = 7071, find the sum of Y and Z.

6466

7566

7666

12,021

13,021

35.

A certain number is subtracted from 12 and the result is multiplied by 3. If the answer is 21, find the number.

36.

If r = $(\begin{matrix} 2 \\ -5 \end{matrix})$ and s = $(\begin{matrix} -2 \\ 5 \end{matrix})$ , calculate 2r - 3s.

$(\begin{matrix} -10 \\ -25 \end{matrix})$

$(\begin{matrix} -2 \\ -25 \end{matrix})$

$(\begin{matrix} 10 \\ -25 \end{matrix})$

$(\begin{matrix} 10 \\ 25 \end{matrix})$

37.

An equilateral triangle has side 16cm. A square has the same perimeter as the equilateral triangle. What is the area of the square?

48 cm²

96 cm²

144 cm²

256 cm²

38.

Given that x = 4, y = 7, evaluate 2xy + 3(x+y)

109

39.

Simplify: 12 - 7 - (-5).

-10

-2

40.

In an enlargement, PQ→P′Q′. |PQ| = 3 cm and |P′Q′| = 15 cm. Calculate the scale factor of the enlargement.

$\frac{1}{5}$

$\frac{2}{3}$

THEORY QUESTIONS

A teacher conducted a class test and the result is displayed in a frequency table below.

Marks	1	2	3	4	5	6	7	8	9
Frequency	2	4	2	2	10	5	6	7	2

(a)

Using the frequency table, find

(i)

the modal mark for the class

(ii)

the number of candidates who wrote the test

(iii)

the mean mark for the test.

(b)

If the teacher decides that the pass mark is 4, what is the probability that a student chosen at random from the class failed the test?

(c)

Draw a bar chart for the distribution.

(a)

The table below shows the distribution of the ages (in years) of children who were treated in a clinic in a day.

Age (years)	1	2	3	4	5
Frequency	6	4	2	3	5

Find

(i)

the mean age;

(ii)

the modal age.

(b)

Draw a bar chart for the distribution.

(a)

Multiply (a – b) by (2b – a)

(b)

Find the truth set of 2x – 6 ≤ 5 (3 – x).

Illustrate your answer on a number line.

(c)

Given that u = $(\begin{matrix} -2 \\ 3 \end{matrix})$ and v = $(\begin{matrix} 2 \\ 6 \end{matrix})$ , find $\frac{1}{3}$ (u + $\frac{1}{2}$ v).

The table shows the number of students in a JSS class who prepared various dishes for their practical.

Dishes	No. of students
Fufu and light soup	5
Banku and Okro stew	20
Fried rice	30
Fried plantain and beans	25
Boiled yam and palaver sauce	10

(a)

(i)

Draw a pie chart for the distribution above.

(ii)

What dish was prepared most?

(iii)

What percentage of students prepared fried rice

(b)

What is the probability that a student chosen at random cooked fried plantain and beans?

(a)

Copy and complete the table for the relation F = $\frac{9}{5}$ C + 32.

Where F and C are degrees Fahrenheit and degrees Celsius respectively.

°C	0	5	10	15	20	25	30
°F	32				68

(b)

Using a scale of 2 cm to 10 units on the vertical axis (°F) and 2 cm to 5 units on the horizontal axis (°C), draw a linear graph for the relation.

(c)

Use the graph to find the temperature in degrees celsius when F = 55 degrees.

(d)

Interpret the slope of the relation.

(a)

If X = {Prime numbers less than 13} and Y = {odd numbers less than 13}

(i)

List the members of X and Y

(ii)

List the members of X ∩ Y and X U Y

(b)

Three school children share some oranges as follows: Akwasi gets $\frac{1}{3}$ of the total, and the remainder is shared between Abena and Jantuah in the ratio 3:2. If Jantuah gets 24 oranges, how many does Akwasi get?