OBJECTIVE TEST

A car used 8 hours to travel from town A to town B at a speed of 18 km/h.

Find the distance travelled.

22.5 km

135 km

140 km

144 km

In the diagram above, the bearing of point B from A is

340^o

220^o

140^o

50^o

Find the value of 124.3 + 0.275 + 74.06, correcting your answer to one decimal place.

198.6

198.7

892.0

892.4

Name the geometrical figure shown in the diagram below.

parallelogram

triangle

cone

tetrahedron

pyramid

A cylinder is of height 3 cm and radius 2 cm. Find its curved surface area.

[Take π = 3.142]

7 cm²

12 cm²

18 cm²

38 cm²

54 cm²

If 4(m + 4) = 18, find the value of m.

$\frac{1}{2}$

$\frac{3}{2}$

$\frac{5}{2}$

$\frac{7}{2}$

$\frac{17}{2}$

Expand (2a + b)(a – b).

2a² – 3ab – b²

2a² – ab – b²

2a² + ab + b²

2a² + 3ab + b²

The pie chart above shows the distribution of 360 pupils to various houses in a school.

Use it to answer the question below

How many more students are in Yellow House than in Blue House?

100

Write two hundred thousand and fifty seven in figures

20,057

200,057

2,000,057

20,000,057

200,570

10.

Jane arrived at work at 7:55 a.m and left at 4:15 p.m. For how long was she at work?

7 hr 20 min

7 hr 45 min

8 hr 20 min

8 hr 40 min

11.

Evaluate $\frac{2^{3} x 3^{4} x 3^{3}}{2^{2} x 2 x 3^{5}}$

12.

Simplify $(3 \frac{1}{2} + 7) \div (4 \frac{1}{3} - 3)$

6 $\frac{7}{8}$

7 $\frac{7}{8}$

10 $\frac{1}{2}$

13.

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

14.

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:

What is the value of x?

A. 20^o

61^o

81^o

101^o

15.

In the diagram, Q is the set of numbers inside the circle and T is the set of numbers inside the triangle. Find Q U T.

{5}

{6, 7}

{3, 4, 5}

{5, 6, 7}

{3, 4, 5, 6, 7}

16.

Use the information below to answer the question below

The scores obtained by 8 pupils in a test are 2, 3, 4, 5, 7, 8, 8 and 9

Find the mean score.

4.50

5.75

6.00

8.75

10.00

17.

Expand (2a + b) (a + 2b)

2a² + 2b²

2a² + b²

5a² + 2a²

2a² + 2a + 4ab²

2a² + 5ab + 2b²

18.

Simplify: $\frac{2a}{3}$ - $\frac{a - b}{2}$ .

a - 3

$\frac{a - 3b}{6}$

$\frac{a + 3b}{6}$

a + 3b

a - b

19.

The point P(3, 4) is translated by the vector $(\begin{matrix} 3 \\ -2 \end{matrix})$ to a new position P^'. Find the coordinates of the image P^'

(0, 2)

(6, -2)

(6, 2)

(6, 6)

20.

An angle which is more than 90° but less than 180° is

an acute angle

a right angle

an obtuse angle

a reflex angle

21.

Evaluate $\frac{20}{a}$ - b, if a = 30 and b = 1.

-1 $\frac{2}{3}$

- $\frac{1}{3}$

$\frac{1}{3}$

1 $\frac{2}{3}$

22.

The interior angle of a regular polygon is 120^o. How many sides has the polygon?

23.

If one-third of a number is added to one-fifth of the same number, the result is 8. Find the number.

24.

Express 2345 in standard form.

2.345 x 10¹

2.345 x 10²

2.345 x 10³

2.345 x 10⁴

2.345 x 10⁵

25.

The sum of three numbers is 28,542. Two of the numbers are 10,250 and 9,750. Find the third number.

8,452

8,542

9,452

9,542

26.

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

27.

Find the equation of the straight line passing through the points (-3,5) and (6,8)

y = ⅓^x

y = ⅓^x+6

y = ⅓^x-10

y = ⅓^x+14

28.

Esi bought a television set for GH₵ 1,500.00. If she sold it at a profit of 20%, find the selling price.

GH₵ 1,200.00

GH₵ 1,500.00

GH₵ 1,750.00

GH₵ 1,800.00

29.

The product 6287 x 543 = 3,413,841.

What is the value of 628.7 x 5.43?

3,413,841

342,384.1

34,138.41

3,413.841

341.3841

30.

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

90^o

180^o

270^o

360^o

31.

The bearing of X from Y is 196^o. What is the bearing of Y from X?

016^o

074^o

106^o

244^o

32.

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%

33.

Find the circumference of a circle whose area is equal to 64 π cm².

32 π cm

16 π cm

8 π cm

4 π cm

34.

The pie chart shows the household budget of a family.

Use the information to answer the question below

If the family's income was GH₵ 40,000.00, how much was spent on clothing?

GH₵ 1,600.00

GH₵ 2,000.00

GH₵ 3,200.00

GH₵ 4,400.00

35.

Calculate, correct to two decimal places, 0.61 ÷ 0.8

0.07

0.08

0.76

0.83

7.62

36.

Use the information below to answer the question below.

A rectangular tank has length 3 m, width 2 m and height 1.5 m.

The Alpha Water Company charges ₵40,000.00 for every 1 m³ of water.

Find how much it will cost to fill the tank completely.

₵180,000.00

₵240,000.00

₵300,000.00

₵360,000.00

37.

Simplify -35 – (-15) + (-30)

–50

38.

Simplify 15⁹ ÷ 15⁷

225

240

625

39.

Convert 133_five to a base ten numeral.

40.

How many lines of symmetry has an equilateral triangle?

THEORY QUESTIONS

(a)

The diagram is a triangle ABC with the side AC produced to D. Find

(i)

the value of x;

(ii)

angle ACB.

(b)

The simple interest formula, I = $\frac{PTR}{100}$ , gives the interest, I on a principal, P invested at a rate, R per annum for time, T years.

(i)

Find the simple interest on GH₵ 3,600.00 at 15% per annum for 2 years.

(ii)

Make R the subject of the simple interest formula.

(iii)

At what rate per annum will GH₵ 6,000.00 earn GH₵ 2,400.00 simple interest in 2 years?

(i)

Using a scale of 2 cm to 1 unit on both axes, draw two perpendicular axes Ox and Oy on a graph sheet.

(ii)

Mark on the same graph sheet, the x-axis from -5 to 5 and y-axis from -6 to 6.

(iii)

Plot the points P(4, 2), Q(2, 5) and R(2, 2). Join the points P, Q, R to form a triangle PQR

(iv)

Using the x-axis as a mirror line, draw the image P₁Q₁R₁ of the triangle PQR such that P→P₁, Q→Q₁, R→R₁

(v)

Write down the coordinates of P₁, Q₁ and R₁.

(vi)

Translate triangle PQR by the vector $(\begin{matrix} -1 \\ -1 \end{matrix})$ such that P→P₂, Q→Q₂, R→R₂

(vii)

Label the vertices of triangle P₂Q₂R₂

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?

Using a ruler and a pair of compasses only,

(a)

draw |PQ| = 9 cm

(b)

construct a perpendicular to PQ at Q

(c)

construct angle QPS = 60° at the point P on PQ such that |PS| = 6.5cm

(d)

construct a line parallel to PQ through S. let the perpendicular through Q and the parallel through S, meet at R. Measure |PR|.

(a)

In a class of 70 students, 40 belong to the Red Cross Society, 27 belong to the Girls' Guide Society and 12 belong to both the Red Cross Society and the Girl's Guide Society. The remaining students do not belong to any of the two societies.

(i)

Illustrate the information on a Venn diagram.

(ii)

How many students belong to the Red Cross Society only?

(iii)

How many students do not belong to any of the two societies?

(b)

A farmer uses $\frac{1}{3}$ of his land to plant cassava, $\frac{2}{5}$ of the remaining land to plant maize and the rest vegetables.

If vegetables cover an area of 10 acres, what is the total area of the farmer's land.

(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.

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