OBJECTIVE TEST

Simplify $(\begin{matrix} 4 \\ 5 \end{matrix})$ + $(\begin{matrix} -2 \\ 2 \end{matrix})$ + $(\begin{matrix} 1 \\ 6 \end{matrix})$

$(\begin{matrix} 2 \\ 13 \end{matrix})$

$(\begin{matrix} 3 \\ 13 \end{matrix})$

$(\begin{matrix} 5 \\ 13 \end{matrix})$

$(\begin{matrix} 6 \\ 13 \end{matrix})$

$(\begin{matrix} 7 \\ 13 \end{matrix})$

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.

What is the mean age?

3.0

3.5

4.0

4.5

5.0

Find the truth set of 2x - 4 < 6 + 3x.

{x : x < 2}

{x : x > -2}

{x : x > -10}

{x : x < 10}

Find in base ten the value of 4 in 143_five.

Which property of arithmetic is shown in the equation (6 + x) + 5 = 6 + (x + 5)

Commutative

Associative

Closure

Distributive

The perimeter of a rectangle is 26 cm. If its length is 10 cm, find its area.

30 cm²

60 cm²

130 cm²

160 cm²

Simplify $\frac{1}{3}$ (2 $\frac{2}{3}$ + $\frac{5}{6}$ )

$\frac{13}{4}$

$\frac{7}{6}$

$\frac{13}{18}$

$\frac{31}{18}$

Five cards are numbered one to five. A card is picked at random. What is the probability that it has an even number?

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{1}{5}$

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.

Find the median mark.

10.

John sold a car for GH₵60,000.00 and made a profit of 20%. What is the cost price of the car?

GH₵48,000.00

GH₵50,000.00

GH₵72,000.00

GH₵132,000.00

11.

Write two hundred and two million, two thousand, two hundred and two in figures.

202,002,202

202,020,202

202,022,202

202,200,202

12.

In the diagram below, MNO is a triangle. Angle MON = 72° and angle OMN = 68°.

Find angle ONP.

40°

68°

72°

112°

140°

13.

Factorize completely the expression 2xy – 6y + 7x – 21

(x – 3)(2y + 7)

(x + 3)(2y – 7)

(y – 3) (2x +7)

(y + 3) (2x – 7)

14.

If y : 28 = 5 : 7, find y.

31.2

37.5

15.

When a number is doubled and the result is decreased by 9, the answer is 19. Find the number.

16.

Calculate the gradient of the straight line joining the points A(3,5) and B(–2,3).

$\frac{5}{2}$

$\frac{2}{5}$

- $\frac{2}{5}$

- $\frac{5}{2}$

17.

Expand (a + 4)(a + 6)

2a + 24

a² + 6a + 10

a² + 10a + 10

a² + 10a + 24

18.

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

784 cm²

196 cm²

49 cm²

14 cm²

19.

Ama is facing east. Through how many degrees should she turn clockwise to face north?

90°

135°

180°

225°

270°

20.

In a school, 80 pupils wrote an examination and 64 of them passed. What is the percentage of pupils who passed?

16%

20%

64%

80%

21.

A hawker is carrying a basket load of three types of fruits: oranges, mangoes and pears.

If $\frac{2}{5}$ of the fruits are oranges and $\frac{6}{25}$ mangoes, what percentage of the fruits are pears?

9 %

18 %

64 %

36 %

22.

Arrange the following from the highest to the lowest: $\frac{2}{3}$ , -9, $\frac{3}{5}$ and 0.

-9, $\frac{3}{5}$ , $\frac{2}{3}$

-9, 0, $\frac{3}{5}$ , $\frac{2}{3}$

$\frac{3}{5}$ , $\frac{2}{3}$ , 0, -9

$\frac{3}{5}$ , $\frac{2}{3}$ , -9, 0

$\frac{2}{3}$ , $\frac{3}{5}$ , 0, -9

23.

A boy scores $\frac{17}{25}$ in a French test. Express his score as a percentage.

17%

34%

68%

85%

24.

Expand 3 (2a + 3b)

2a +9b

5a + 6b

6a + 3b

6a + 9b

25.

What name is given to a triangle which has all its sides equal?

Isosceles triangle

Scalene triangle

Equilateral triangle

Right-angle triangle

26.

Find the image of the point (6, 3) when translated by the vector $(\begin{matrix} -4 \\ -1 \end{matrix})$ .

(-2, -2)

(2, -2)

(-2, 2)

(2, 2)

(10, 4)

27.

Given that

, find the value of p.

28.

The ages in years of eight boys are: 14, 14.5, 15, 12, 11.5, 13, 10.5, 13.5.

What is their average age?

29.

Simplify $(\begin{matrix} 2 \\ -3 \end{matrix})$ - $(\begin{matrix} -1 \\ 5 \end{matrix})$

$(\begin{matrix} -3 \\ 8 \end{matrix})$

$(\begin{matrix} 3 \\ -8 \end{matrix})$

$(\begin{matrix} -3 \\ -8 \end{matrix})$

$(\begin{matrix} 3 \\ 8 \end{matrix})$

$(\begin{matrix} -3 \\ 2 \end{matrix})$

30.

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

$\frac{1}{11}$

$\frac{1}{6}$

$\frac{1}{5}$

$\frac{5}{11}$

$\frac{6}{11}$

31.

In 1995, 215 boys and 185 girls were admitted into a Senior Secondary School. Find, correct to the nearest whole number, the percentage of girls admitted.

46%

47%

53%

54%

32.

Name the geometrical figure shown in the diagram below.

Cuboid

Cone

Pyramid

Sphere

33.

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

34.

Write 3560 in standard form.

3.56 x 10^-4

3.56 x 10^-3

3.56 x 10³

3.56 x 10⁴

35.

A woman deposited an amount of GH₵ 50,000.00 at a bank for 2 years at a rate of 20% per annum. Find the simple interest.

GH₵ 1,000.00

GH₵ 2,000.00

GH₵ 10,000.00

GH₵ 20,000.00

36.

Which of the following inequalities is represented by the number line?

x ≤ -3

x ≥ -3

x < -3

x > -3

x = -3

37.

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

38.

Which of the following is an example of quantitative data?

Colour

Gender

Marital status

Length

39.

Factorize: 5ay - by + 15a - 3b.

(y + 3)(5a - b)

(y + 5)(3a - b)

(y - 3)(5a + b)

(y - 5)(3a + b)

40.

Find the area of the trapezium MNOP.

120 cm²

72 cm²

60 cm²

48 cm²

38 cm²

THEORY QUESTIONS

(a)

(i)

Express 8 x 32 x 4 x 2 in the form 2^m.

(ii)

Using your answer in (a)(i), state the value of m.

(b)

(i)

Factorize the expression πn²k - $\frac{1}{4}$ πn²Q.

(ii)

Use your answer in (b)(i) to find the value of the expression when π = $\frac{22}{7}$ , n = 2, k = 19 and Q = 20.

(c)

Gifty and Justina shared an amount of GH₵ 418.00. If Gifty had 20% more than Justina, how much did Justina receive?

A property worth GH₵ 10,480.00 is shared between a widow and her 10 children in the ratio 1:4 respectively. The children shared their portion equally. Find each child's share.

The data shows the distribution of marks in a class test.

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

Use the data to answer the following questions:

make a Stem and Leaf plot of the data;

how many students scored more than 10 marks and less than 20 marks?

iii

what is the probability of a student scoring less than 20 marks?

The diagram above is a plane figure made up of a rectangle of sides 50 cm by 28 cm and an equilateral triangle of height 24.25 cm. A circle is cut out of the rectangle as shown. If the circle touches three sides of the triangle,

Calculate

(a)

the perimeter of the figure;

(b)

the area of the remaining portion of the figure.

[Take π = $\frac{22}{7}$ ]

(a)

Given that a = $(\begin{matrix} -3 \\ 3 \end{matrix})$ and b = $(\begin{matrix} 4 \\ -6 \end{matrix})$ , calculate

(i)

a + 2b;

(ii)

$\frac{1}{2}$ (2a - b)

(b)

The number of pupils in a primary school is given in the table below:

Class	One	Two	Three	Four	Five	Six
Number of pupils	24	35	35	20	21	45

(i)

Find the number of pupils in the school.

(ii)

What is the mean number of pupils in a class?

(iii)

What percentage of pupils are in class six?

(c)

Convert 312_five to base ten numeral.

(a)

Simplify the expression 3x² + 6xy – 3y² + 4x² + 8xy + 2y²

(b)

(i)

Solve 3x – 9 ≥ 12 (x – 3)

(ii)

Illustrate your answer on the number line.

(c)

If p = 7, a = 16, b = 4 and c = 3, evaluate p² - $\frac{(a - b)}{c}$

The bar chart above is the distribution of marks in a class test.

(a)

(i)

Write down the frequency table for the distribution.

(ii)

Use the table to find the mean mark.

(b)

If the pass mark is 4, how many pupils failed the test?

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32