OBJECTIVE TEST

Find the image of p(-3, 5) when rotated through 360^o about the origin.

(5, -3)

(-3, -5)

(-3, 5)

(-5, -3)

Which of the following statements about sets is true?

Every set is a subset of the null set.

The universal set is the subset of the null set.

The intersection of two sets is always null set.

The universal set is the union of all its subsets.

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?

Calculate, correct to two decimal places, 0.61 ÷ 0.8

0.07

0.08

0.76

0.83

7.62

A table which cost ₵2,400.00 to manufacture was sold for ₵3,000.00. Find the profit percent.

80%

25%

24%

20%

11.1%

A mapping is defined by x → x² – 1. What is the image of 3 under the mapping?

Convert 222_five to a number in base ten.

Which of the following inequalities is shown on the number line above, where p ∈ {real numbers}?

-2 < p < 3

-2 ≥ p > 3

-2 < p ≤ 3

-2 > p ≥ 3

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

10.

Express 2474.5 in standard form

2.4745 x 10²

2.4745 x 10³

2.4745 x 10^–2

2.4745 x 10^-3

11.

Zalia and Amina shared an amount of money in the ratio 2 : 5. If Amina had GH₵ 150.00 more than Zalia, how much did they share?

GH₵ 100.00

GH₵ 250.00

GH₵ 450.00

GH₵ 350.00

12.

Given that 1 kilometre = $\frac{5}{8}$ mile, what is 240 miles in kilometres?

150 km

190 km

384 km

390 km

13.

A car uses 150 litres of petrol in 45 mins. How many litres of petrol will it use in 1 hour?

375 litres

230 litres

225 litres

200 litres

14.

Which of the following is the largest set?

{Whole numbers}

{Composite}

{Natural numbers}

{Integers}

15.

Solve the equation $\frac{1}{5}$ (2 + y) = $\frac{1}{2}$ (y -1).

-3

- $\frac{3}{4}$

$\frac{5}{3}$

16.

Simplify

⅓

⅙

⅔

17.

Factorize completely b² + fb – mb – fm.

(b – f)(b – m)

(b + f)(b – m)

(b + f)(m – b)

(b + f)(m + b)

18.

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

19.

Use the mapping below to answer the question below

-2	-1	0	2	3	4	......	x
↓	↓	↓	↓	↓	↓		↓
y	-1	1	5	7	9	......	21

Find the value of x

–7

20.

In the diagram, set Q has 30 members and set T has 25 members. Q ∩ T has 10 members.

Find the number of members of Q U T

21.

Simplify: 7(y + 1) – 2(2y + 3)

3y – 5

3y – 2

3y + 1

3y + 4

3y + 13

22.

Change 110011_two to number in base ten.

23.

Fifteen boys took 12 hours to weed a plot of land. If nine boys work at the same rate, how long will it take them to weed the plot of land?

6 hours

7 $\frac{1}{2}$

11 $\frac{1}{2}$

20 hours

24.

In the diagram above, PQSR is a trapezium. PQ is parallel to RS. ∠PQR = ∠QRS. What type of triangle is triangle RQS?

Isosceles

Scalene

Equilateral

Right–angled

Obtuse-angled

25.

Make d the subject of the relation n = 2d + 3

d = $\frac{3n}{2}$

d = $\frac{n + 3}{2}$

d = $\frac{n - 3}{2}$

d = $\frac{3 - n}{2}$

26.

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

27.

Which of the following expressions is illustrated on the number line.

x ≤ -2

x < -2

x ≥ -2

x > -2

28.

What is the place value of 7 in 24.376?

Unit

Ten

Tenth

Hundredth

29.

Solve 25x + 450 ≤ 3000.

x ≥ 102

x ≤ 102

x ≥ 138

x ≤ 138

30.

Which of the following dimensions of a triangle form the sides of a right angled triangle?

3cm, 4cm, 6cm

3cm, 5cm, 7cm

5cm, 12cm, 13cm

5cm, 13cm, 17cm

31.

Anowa scored an average of 53 in Science and Mathematics. If she scored 50 and 60 in English Language and Social Studies respectively, find her mean score in all the four subjects.

32.

In the Venn diagram M and N are the subsets of the universal set U.

Use this information to answer the question below.

Find M ∩ N

{7}

{2,7}

{3,5,8}

{1,2,3,4,5,6,7,8,9}

33.

Find the image of P in the mapping below:

1	2	3	P
↓	↓	↓	↓
3	5	7	?

P² + 2

P² + 1

2P + 1

P + 2

P² - 2

34.

Mame Esi rides her bicycle to school and back everyday. If the distance from her home to the school is 2345 m, how many kilometers does she cover everyday?

4.98 km

4.69 km

3.96 km

3.68 km

35.

In the diagram below, find the size of the angle marked e°.

52°

56°

72°

108°

128°

36.

The pie chart shows the monthly expenditure of Mr. Awuah whose monthly income is ₵18,000.00.

Use the chart to answer the question below.

What fraction of Mr. Awuah's income is spent on food?

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{2}{5}$

$\frac{1}{2}$

37.

Kojo paid ₵270,000.00 for a TV set after he had been given a discount of 10%. Find the marked price.

₵300,000.00

₵297,000.00

₵280,000.00

₵260,000.00

₵243,000.00

38.

A box can take 12 pencils. If 156 pencils are packed into such boxes, how many boxes will be fully packed?

39.

A student spends $\frac{17}{35}$ of his pocket money on transport and fruits. He spends $\frac{5}{6}$ of the remainder on sweets. What fraction of his pocket money does he spend on sweets?

$\frac{4}{7}$

$\frac{3}{7}$

$\frac{17}{35}$

$\frac{18}{35}$

$\frac{17}{42}$

40.

If E = {prime numbers between 10 and 20} and F = {odd numbers between 0 and 16},
find E ∩ F.

{11}

{11, 13}

{3, 11, 13}

{3, 11, 13, 15}

THEORY QUESTIONS

(a)

Factorize (m + n)(2x - y)-x(m + n)

(b)

A and B are subsets of a universal set

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18} such that A = {even numbers} and B = {multiples of 3}.

(i)

List the elements of the sets A, B, (A ∩ B), (A ∪ B) and (A ∪ B)^'.

(ii)

Illustrate the information in (i) on a Venn diagram.

(c)

Find the values of x and y in the vector equation:

$(\begin{matrix} 5 \\ 3 \end{matrix})$ + 2 $(\begin{matrix} x \\ y \end{matrix})$ - $(\begin{matrix} 1 \\ -7 \end{matrix})$ = 0

(a)

The following are the ages in years of members of a group: 8, 11, 8, 10, 6, 7, 3x, 11, 11.

If the mean age is 9 years, find

(i)

(ii)

the modal age

(iii)

the median age.

(b)

Draw a bar chart for the distribution

Solve:

Multiply 0.03858 by 0.02, leaving the answer in standard form.

A cylindrical container of height 28 cm and diameter 18 cm is filled with water. The water is then poured into another container with a rectangular base of length 27 cm and width 11 cm. Calculate the depth of the water in the container. (Take π = 22⁄7)

Ama was granted a loan of ₵800,000.00 by a bank. The rate of interest was 42% per annum.

(a)

Calculate

(i)

the interest at the end of the year;

(ii)

the total amount Ama had to pay at the end of the year.

(b)

Ama was able to pay only ₵700,000.00 at the end of the year.

(i)

Find how much Ama still owed the bank.

(ii)

Express the amount Ama owed after paying the ₵700,000.00 to the bank as a percentage of the loan she took from the bank.

(a)

There are 20 students in a hostel. 16 of them are fluent in French and 10 of them are fluent in English. Each student is fluent in at least one of the two languages.

(i)

Illustrate this information on a Venn diagram

(ii)

How many students are fluent in both English and French?

(b)

The sum of the ages of two brothers Kofi and Kweku is 35. Kofi's age is two-thirds of Kweku's age. Find their ages.

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?