OBJECTIVE TEST

If A = {1, 3, 5, 7, 9, 11, 13, 15} and B = {3, 6, 9, 12, 15}, find n(A∩B).

A car costs GH₵12,500.00. A discount of 9% is given for cash payment. Find the cost of the car when payment is made by cash.

GH₵10,250.00

GH₵11,250.00

GH₵11,375.00

GH₵13,625.00

How many edges has a cuboid?

Madam Nancy wants to know which of the teachers in her school is liked best by most of the students. Which of the following methods is most suitable for collecting the data?

Experiment

Database

Questionnaire

Observation

Which of the following is illustrated on the number line above?

–1 < x < $\frac{3}{2}$

–1 ≤ x < $\frac{3}{2}$

–1 ≤ x ≤ $\frac{3}{2}$

–1 < x ≤ $\frac{3}{2}$

$\frac{3}{2}$ ≤ x ≤ –1

A rectangular field 50 metres wide and x metres long requires 260 metres of fencing. Which of the following statements is true?

x + 100 = 260

2x + 50 = 260

4x + 200 = 260

2x + 100 = 260

4x + 100 = 260

Which of the following would you use to measure an angle?

Ruler

A pair of compasses

A set square

A protractor

Given the relation $\frac{1}{y}$ = $\frac{1}{c}$ + $\frac{1}{x}$ .

Which of the following expressions is equal to y?

p>c + x

$\frac{2}{cx}$

$\frac{c + x}{2}$

$\frac{cx}{c + x}$

$\frac{c + x}{cx}$

Use the mapping below to answer the question below.

( $\frac{1}{2}$ ) → (1) → (3.14)

(1) → (2) → (6.28)

(2) → (4) → (12.56)

(3) → (6) → (x)

(y) → (10) → (31.4)

Find the value of y

10.

If a = $(\begin{matrix} -2 \\ 1 \end{matrix})$ and b = $(\begin{matrix} -5 \\ -3 \end{matrix})$ , find 2a - b.

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

$(\begin{matrix} -9 \\ -1 \end{matrix})$

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

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

11.

Which of the following is arranged in ascending order?

-25, -64, 4, 17

-64, -25, 4, 17

-64, -25, 17, 4

17, 4, -25, -64

12.

Simplify 16² x 8²

2¹⁰

2¹⁴

2¹⁵

2¹⁶

13.

In an enlargement with scale factor k, which of the following statements is not true?

Each length is multiplied by k

Each angle remains the same

The shape of the figure does not change

The size of the figure does not change

Corresponding lines are parallel

14.

Kwaku had 300 mangoes. He sold 240 of them. What is the percentage of the mangoes left?

20%

25%

26%

80%

15.

Multiply 247 by 32.

6916

7804

7904

1235

16.

The figure below is a cuboid wih dimensions x cm by y cm by z cm. Find the area of the face PQRV.

xy cm²

yz cm²

x² cm²

xz cm²

17.

The table below shows the distribution of workers in some trades.

Trade	Shoe making	Mining	Road transport	Agriculture	Manufacturing goods
Number of workers	300,000	25,000	160,000	225,000	165,000

Use this information to answer the question below.

How many people are employed under all the trade?

325,000

485,000

650,000

875,000

18.

A bag contains 24 marbles, 10 of which are blue and the rest green. A boy picks a marble at random from the bag. What is the probability that he picks a green marble?

$\frac{1}{14}$

$\frac{7}{17}$

$\frac{5}{12}$

$\frac{7}{12}$

$\frac{7}{10}$

19.

, find x when a = 2, b = -4 and c = -2.

20.

How many faces has a rectangular pyramid?

21.

If (23 × 82) × 79 = 148,994, find the exact value of (2.3 × 82) × 7.9

1.48994

14.8994

148.994

1489.94

14899.4

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 next term in the following set of numbers: {1, 3, 7, 15, 31, ...} ?

24.

Find the simple interest on GH₵ 350.00 for 4 years at 5% per annum.

GH₵ 20.00

GH₵ 35.00

GH₵ 70.00

GH₵ 140.00

25.

In the diagram, QRS is a triangle. Angle QRS = 50° and angle RST = 120°. Find angle RQS.

60°

65°

70°

80°

26.

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

27.

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°}

28.

Use the mapping below to answer the question below

x	1	2	3	4
↓	↓	↓	↓	↓
y	3	5	7	9

Find the value of y when x is 7.

–3

29.

A circle has radius 7cm; find its area.

[Take π = $\frac{22}{7}$ ]

22 cm²

44 cm²

145 cm²

154 cm²

30.

Which of the following is a finite set?

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

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

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

{3,6,9,12}

31.

Factorize ax + 3x + a + 3

x(a + x)

(x - a)(x + 3)

x(a - x)

(a + 3)(x + 1)

32.

Find the rule for the mapping:

1	2	3	4	5	...	n
↓	↓	↓	↓	↓	↓	↓
10	21	32	43	54	...	-

n → 10n

n → (10n + 1)

n → (11n - 1)

n → (7n + 3)

33.

A bag contains 6 blue and 5 black balls. What is the probability of picking a black ball at random?

$\frac{1}{11}$

$\frac{1}{5}$

$\frac{5}{11}$

$\frac{6}{11}$

34.

Find the Least Common Multiple(L.C.M) of 4, 5 and 6.

35.

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

36.

Find the image of 4 under the following mapping.

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	4	7	10	k	16

37.

The bar chart shows the mark distribution of pupils in a test. Use it to answer the question below

How many pupils took the test?

38.

If p = 7, q = 5 and r = 3, find the value of p² + q – r³.

39.

A man earned an interest of GH₵ 240.00 in 4 years at 20% per annum simple interest. Calculate the principal

GH₵ 300.00

GH₵ 450.00

GH₵ 480.00

GH₵ 1,200.00

40.

A man has three children whose ages are 9 years, 12 years and 24 years. Find the ratio of their ages.

1 : 2 : 3

1 : 2 : 4

2 : 3 : 6

3 : 4 : 8

3 : 6 : 8

THEORY QUESTIONS

(a)

Factorize the expression 5ay - by + 15a - 3b

(b)

Solve:

(c)

Esi and Kofi shared an amount of GH₵ 21,000.00 in the ratio of 2:5 respectively. How much more did Kofi receive than Esi?

(a)

A doctor treated 2,000 patients over a period of time. If he worked for 5 hours a day and spend 15 minutes on each patient, how many days did the doctor spend to treat all the patients?

(b)

The pie chart shows the distribution of textbooks to six classes A,B,C,D,E and F in a school.

(i)

If class D was given 720 textbooks, how many textbooks were distributed to each of the remaining classes?

(ii)

What is the average number of textbooks distributed to the classes?

(iii)

How many classes had less than the average number of textbooks distributed?

(a)

A woman borrowed GH₵ 5,300.00 to pay for her child's university fees. If she borrowed at a rate of 8% simple interest per annum for 9 months, find the interest paid.

(b)

A father shared his piece of land to his three children. The first child had $\frac{2}{5}$ of the land and the second had 5 acres more than the first.

If the third child had 20 acres, find how many acres of land the:

(i)

father shared;

(ii)

first child received;

(iii)

second child received.

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?

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)

There are 30 boys in a sporting club. 20 of them play hockey and 15 play volley-ball. Each boy plays at least one of the two games.

(i)

Illustrate the information on a Venn diagram

(ii)

How many boys play volleyball only?

(b)

Factorize xy + 3x + 6y + 18

(c)

Multiply (3 + x) by (5 – 2x)