OBJECTIVE TEST

The point S(4, 3) is reflected in the y-axis, Find the coordinates of the image of S.

(-3,4)

(4,-3)

(3,-4)

(-4,3)

Expand (2a + b)(a – b).

2a² – 3ab – b²

2a² – ab – b²

2a² + ab + b²

2a² + 3ab + b²

The following addition is done in base ten. What number represents abc?

	2	2	2
	3	4	3
	a	b	c
1	0	0	0

324

242

423

435

234

In the diagram below, find the bearing of P from Q

045°

090°

135°

180°

270°

Evaluate $\frac{0.036}{0.02}$

0.018

0.18

1.8

18.0

Simplify 0.1 x 0.02 x 0.003 (leaving your answer in standard form)

6x10^-7

6x10^-6

6x10⁵

6x10⁶

The stem and leaf plot shows the weights (kg) of cocoa bags weighed in a week.

Use the information to answer the question below:

Stem	Leaf
4	0,5,7,9
5	1,3,4,5,7,8
6	0,2,3,4,4,4,4,5,6,8
7	1,2,3,4,5,8,8,9
8	2,3,5,6,9
9	4,5

What is the modal weight of the bags of cocoa?

68 kg

60 kg

64 kg

65 kg

If P = {x:x is an even number greater than two and less or equal to twelve}, list the members of P

{2, 4, 2, 8, 10, 12}

{3,4,6,8,10,12}

{2, 4, 6, 8, 10}

{4, 6, 8, 10, 12}

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

10.

The instrument used to measure the angle between two lines that meet at a point is known as a

pair of compasses.

set-square.

protractor.

pair of dividers.

11.

Use the following information to answer the question below.

The pie chart below shows how a man spends his monthly salary.

If the man earns ₵720,000.00 monthly, find how much he spends on food.

₵120,000.00

₵180,000.00

₵210,000.00

₵240,000.00

12.

Which of the following is not a factor of 18?

13.

What is the H.C.F of 48, 30 and 18?

14.

If the vector m = $(\begin{matrix} 3 \\ 2 \end{matrix})$ and n = $(\begin{matrix} -1 \\ 3 \end{matrix})$ , find m - 2n.

$(\begin{matrix} -1 \\ 4 \end{matrix})$

$(\begin{matrix} 1 \\ -4 \end{matrix})$

$(\begin{matrix} 5 \\ 4 \end{matrix})$

$(\begin{matrix} 5 \\ -4 \end{matrix})$

15.

The hypotenuse and a side of a right-angled triangle are 13 cm and 5 cm respectively. Find the length of the third side.

8 cm

9 cm

12 cm

17 cm

16.

In the diagram, AB is parallel to DE, angle ABC = 81^o and angle DCE = 20^o.

Use the information to answer the equestion below:

Find the value of y.

20^o

81^o

79^o

101^o

17.

The stem and leaf plot shows the marks scored by students in a French test. Use the information to answer the question below.

Stem	Leaf
2	0 2 5 7 8
3	2 7 9
4	3 5 5 5
5	4 6 6 8
6	3 5 7
7	0 6

What is the modal mark?

18.

A bag contains 4 blue and 8 red balls. What is the probability of picking a blue ball at random from the bag?

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{3}{4}$

19.

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

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

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

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

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

20.

If R = $\frac{1}{2}$ (a + b)k, find k in terms of R, a and b.

$\frac{a + b}{2R}$

$\frac{2R}{a + b}$

$\frac{2R - a}{b}$

$\frac{2R - b}{a}$

$\frac{R}{2(a + b)}$

21.

Out of ₵550,000.00 given to a school, an amount of ₵325,000.00 was used. What fraction of the total amount was used?

$\frac{4}{13}$

$\frac{9}{13}$

$\frac{9}{22}$

$\frac{13}{22}$

22.

The point (4, 5) is translated to the point (3, 1). What is the translation vector?

$(\begin{matrix} -1 \\ 4 \end{matrix})$

$(\begin{matrix} 1 \\ 4 \end{matrix})$

$(\begin{matrix} 1 \\ -4 \end{matrix})$

$(\begin{matrix} -1 \\ -4 \end{matrix})$

23.

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.

24.

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}

25.

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

26.

A ribbon is 4 m long. How many pieces, each 30 cm long, can be cut from the ribbon?

27.

The circumference of a circle is 440 m. Find the area of the circle.

[Take π = $\frac{22}{7}$ ]

14,400 m²

15,400 m²

16,400 m²

18,000 m²

28.

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

equal sets

equivalent sets

empty sets

disjoint sets

union

29.

Find the least common multiple (LCM) of the numbers 10, 15 and 25.

120

150

30.

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

Find the median score.

31.

Simplify: (46 x 102) + (102 x 54)

1,020

10,200

102,000

1,020,000

32.

M = {1, 2, 3, 4, 5, ..., 20}

Q = {3, 4, 5, 6, 7, 8} and R = {2, 3, 5, 7}

If Q and R are subsets of M, find Q ∩ R.

{3, 5}

{5, 7}

{{3, 5, 7}

{2, 3, 5, 7}

33.

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

2464 cm²

34.

Express 0.68 as a fraction in its lowest term.

$\frac{7}{25}$

$\frac{17}{25}$

$\frac{3}{5}$

$\frac{7}{15}$

35.

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

90^o

180^o

270^o

360^o

36.

The product of three numbers is 1197. Two of the numbers are 3 and 21. Find the third number.

399

1134

37.

The diagram above shows the construction of :

the perpendicular bisector of the line

an angle of 45° at the point A

an angle of 45° at the point B

an angle of 90° at the point O

an angle of 90° at the point B

38.

Evaluate

0.012

0.12

1.2

12.0

39.

Arrange the following fractions in descending order $\frac{3}{4}$ , $\frac{5}{8}$ , $\frac{4}{5}$ , $\frac{13}{20}$

$\frac{4}{5}$ , $\frac{3}{4}$ , $\frac{13}{20}$ , $\frac{5}{8}$

$\frac{4}{5}$ , $\frac{5}{8}$ , $\frac{3}{4}$ , $\frac{13}{20}$

$\frac{5}{8}$ , $\frac{4}{5}$ , $\frac{3}{4}$ , $\frac{13}{20}$

$\frac{4}{5}$ , $\frac{5}{8}$ , $\frac{13}{20}$ , $\frac{3}{4}$

$\frac{13}{20}$ , $\frac{5}{8}$ , $\frac{4}{5}$ , $\frac{3}{4}$

40.

A trader received a commission of 5% on goods sold at GH₵ 25,000.00. Find the commission.

GH₵ 1,250.00

GH₵ 1,200.00

GH₵ 1,100.00

GH₵ 1,000.00

THEORY QUESTIONS

(a)

Simplify 2 $\frac{3}{4}$ ÷ $(3 \frac{3}{8} - 1 \frac{1}{2})$

(b)

There are 50 pupils in a class. Out of this number, $\frac{1}{10}$ speak French only and $\frac{4}{5}$ of the remainder speak both French and English. If the rest speak English only,

(i)

find the number of students who speak

(α)

both French and English;

(β)

only English.

(ii)

Draw a Venn diagram to illustrate the above information.

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)

Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes OX and OY on a graph sheet. On the same graph sheet, mark the x-axis from -10 to 10 and the y-axis from -10 to 10.

(i)

Plot A(2, 2), B(6, 2) and C(4, 6). Join AB, BC and AC

(ii)

Draw the image triangle A₁B₁C₁ of triangle ABC under a clockwise rotation of 90° about the origin, where A→A₁, B→B₁ and C→C₁.

(iii)

Draw the image triangle A₂B₂C₂ of triangle ABC under a reflection in the y-axis, where A→A₂, B→B₂ and C→C₂

(b)

When 12 is added to a certain number and the sum is multiplied by 4, the result is 60. Find the number

(a)

The ratio of men to women in a village is 12 : 25. If there are 120 men,

(i)

how many women are there?

(ii)

what is the total number of men and women?

(b)

A bag contains 70 pencils out of which 15 are green and 30 blue.

(i)

How many pencils of other colours are in the bag?

(ii)

A pencil is selected from the bag at random. What is the probability that it is blue?

(c)

Solve $\frac{1}{3}$ (x - 1) - $\frac{1}{2}$ (x - 3) ≤ 1 $\frac{1}{4}$ and illustrate your answer on the number line.

Given that X = {whole numbers from 4 to 13} and Y = {multiples of 3 between 2 and 20}, find X ∩ Y.

Find the Least Common Multiple (L.C.M) of the following numbers: 3,5 and 9.

, find the value of

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?