OBJECTIVE TEST

A pineapple which was bought for GH₵1.00 was sold at GH₵1.30. Calculate the profit percent.

10%

20%

23%

30%

In a school of 940 pupils, the number of girls exceeds the number of boys by 150. How many girls are there in the school?

620

545

470

395

Find the sum of all even numbers between 70 and 80.

200

223

280

300

375

Find the value of p in the diagram below.

110

A train travels at a speed of 80km per hour. How long will it take to travel a distance of 320km?

2 hours

3 hours

4 hours

5 hours

Kofi, Kojo and Ama shared GH₵480,000.00 in the ratio 3:5:4.

How much did Ama receive?

GH₵160,000.00

GH₵200,000.00

GH₵218,181.81

GH₵342,859.14

Given that r = $(\begin{matrix} -3 \\ 4 \end{matrix})$ and s = $(\begin{matrix} 1 \\ -3 \end{matrix})$ , find r - 2s.

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

$(\begin{matrix} -5 \\ 10 \end{matrix})$

$(\begin{matrix} -2 \\ 10 \end{matrix})$

$(\begin{matrix} -1 \\ 10 \end{matrix})$

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.

Evaluate $\frac{0.036}{0.02}$

0.018

0.18

1.8

18.0

10.

In triangle PQR, |PQ| = |QR|, and angle PQR = 90°.

Find x.

30°

45°

60°

90°

180°

11.

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}

12.

The marks obtained by six boys in a test are: 14, 20, 25, 15, 28 and 16. Find the mean mark.

19.67

22.00

23.20

26.40

28.00

13.

Simplify $\frac{0.12 x 0.08}{2.40}$

0.4

0.04

0.004

0.0004

0.00004

14.

Simplify: 2 × 3² × 3⁴

2 × 3⁵

2 × 3⁶

2 × 3⁸

2 × 9⁶

2 × 9⁸

15.

A match box contains 40 sticks. If 15 of them are spolit, find the probability that a stick chosen at random is not spoilt?

16.

What fraction of 3 weeks is 18 days?

⅙

6⁄7

1⁄7

9⁄11

17.

A train is travelling at a speed of 60 km/h. What distance will it cover from 10.45 am to 12.15 pm?

75 km

87 km

90 km

150 km

18.

The perimeter of a rectangle is 24 cm. If the breadth of the rectangle is 4 cm, find the area of the rectangle.

32 cm²

48 cm²

64 cm²

144 cm²

19.

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

Use this information to answer the question below.

How many members are in the set N?

20.

The table below gives the ages of members of a juvenile club.

Use it to answer the question below

Age in years	8	9	10	11
Frequency	5	10	6	9

What is the modal age of the members of the club?

8 years

9 years

10 years

11 years

21.

If 4956 × 25 = 123,900, evaluate 495.6 × 2.5 leaving the answer in standard form.

1.239 × 10²

1.239 × 10³

1.239 × 10⁴

1.239 × 10⁵

22.

Remove the brackets: a – 2(b – 3c)

a – 2b – 3c

a – 2b - 6c

a – 2b + 6c

a + 2b + 6c

a – 2b + 3c

23.

If S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, find the probability that a number selected at random from S is odd.

$\frac{3}{8}$

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{5}{8}$

24.

Solve for x in the equation 15 – 2x = 6

–10.5

–4.5

4.5

10.5

25.

A man travelled a distance of 1.2 km in 30 minutes. What distance can he cover in 55 minutes travelling at the same speed?

1.375 km

2.02 km

2.2 km

12.02 km

13.25 km

26.

If u = $(\begin{matrix} 2 \\ 1 \end{matrix})$ and v = $(\begin{matrix} -1 \\ 3 \end{matrix})$ , find 3u + 2v.

$(\begin{matrix} 8 \\ 9 \end{matrix})$

$(\begin{matrix} 4 \\ -2 \end{matrix})$

$(\begin{matrix} 4 \\ 0 \end{matrix})$

$(\begin{matrix} 4 \\ 9 \end{matrix})$

$(\begin{matrix} -4 \\ -9 \end{matrix})$

27.

Write 1204_five as a number in base ten.

9996

179

28.

Factorize completely the expression 4xy - 16x + 10y – 40.

(y + 4) (4x – 10)

(y – 4) (4x + 10)

(4 – y) (10 – 4x)

(y + 4) (4x + 10)

29.

30 men dig a pit in 21 days. How many days will 14 men take to dig the pit, working at the same rate?

30.

Express 0.725 as a fraction in its lowest term.

31.

If 8.51 ÷ 2.3 = 3.7, find the value of 85.1 ÷ 2.3

0.037

0.37

3.7

370

32.

In the diagram, ML and PQ are parallel lines.

Find the value of v

32°

40°

58°

140°

180°

33.

Use the mapping below to answer the question below.

2³ → 8

2² → 4

2¹ → 2

2⁰ → a

2^-1 → b

The value of a is

$\frac{1}{2}$

34.

Kojo can buy 15 shirts at GH₵4.00 each. If the price is increased to GH₵5.00, how many shirts can he now buy?

35.

What is the image of 3 in the mapping x → 3x + 7?

36.

Find the Lowest Common Multiple (LCM) of 2² x 3 x 5² and 2³ x 3² x 5.

2² x 3 x 5

2² x 3² x 5²

2³ x 3 x 5

2³ x 3² x 5²

37.

The pie chart shows the distribution of crops on a farm of area 250 hectares.

Use it to answer the question below.

Find the area of the plot with corn.

48.6

55.3

62.5 ha

83.3 ha

125.0 ha

38.

Make T the subject of the relation l² = $\frac{4 π^{2} T}{g}$

T = $\frac{gl}{2π}$

T = $\frac{g l^{2}}{2π}$

T = $\frac{l^{2}}{4g π^{2}}$

T = $\frac{g l^{2}}{4 π^{2}}$

39.

The letters in the word HIPPOPOTAMUS are placed in a box. What is the probability of taking out a letter that is a vowel?

$\frac{1}{12}$

$\frac{3}{12}$

$\frac{5}{12}$

$\frac{7}{12}$

40.

The population of Ghana was 5,000,000 in 1957. The population in 1998 was estimated to be 17,000,000. Find the percentage increase in population from 1957 to 1998.

2.4%

24%

240%

2400%

THEORY QUESTIONS

(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?

Using a ruler and a pair of compasses only,

(a)

(i)

construct a triangle ABC such that |AB| = 8 cm, angle ABC = 60° and |BC| = 8 cm.

(ii)

What type of triangle is triangle ABC?

(b)

construct the bisector of angle BAC to meet |BC| at D. Measure |AD|.

(c)

construct the perpendicular bisector of |BA| to meet |AD| at O.

(d)

Using O as centre and radius OD, draw a circle to touch the three sides of the triangle.

(a)

The pie chart shows angles representing the number of candidates who applied for admission into four programmes at a senior secondary school. The number of pupils who applied were 1080.

Find:

(i)

the angle x° representing the Vocational programme.

(ii)

the number of candidates who applied for Business programme.

(iii)

correct to the nearest whole number the percentage of the number of applicants who applied for General Programme.

(b)

The data below shows the distribution of the masses of pupils in a school. On a graph paper, draw a bar chart for the distribution.

Mass (kilograms)	19	20	21	22	23	24
Frequency	5	9	19	25	18	4

If m = $(\begin{matrix} 2x + 1 \\ 2 - 3y \end{matrix})$ , n = $(\begin{matrix} 6 \\ -8 \end{matrix})$ and (m + n) = $(\begin{matrix} 9 \\ -12 \end{matrix})$ , find the:

values of x and y;

components of m.

Solve the inequality:

$\frac{3}{4}$ (x + 1) + 1 ≤ $\frac{1}{2}$ (x -2) + 5.

Illustrate the answer in b(i) on a number line.

In the diagram, AB is parallel to CD.

Find the value of:

(a)

Using a ruler and a pair of compasses only,

(i)

Construct triangle PQR such that |PQ| = 6cm, |QR| = 4cm and angle PQR = 90°

(ii)

Construct the perpendicular bisectors of PQ and QR. Name the intersection O.

(iii)

Draw a circle O as centre and OQ as radius

(b)

Measure

(i)

|PR|

(ii)

angle QPR

The following marks were obtained by pupils in a test.

6	4	8	2	8
6	8	8	8	10
8	9	8	6	10
2	2	6	6	6

(a)

Construct a frequency distribution table for the data.

(b)

What is the modal mark?

(c)

Calculate the mean mark.

(d)

How many pupils scored more than 6 marks?

(e)

What is the probability that a student chosen at random obtained 2 marks?