OBJECTIVE TEST

Find 2 $\frac{1}{2}$ % of ₵2,000.00

₵40.00

₵50.00

₵100.00

₵800.00

₵5,000.00

Solve the inequality 2x + 10 ≥ $\frac{7x}{2}$ - 5

x ≤ 10

x ≥ 10

x ≤ 40

x ≥ 40

Simplify: 14 $\frac{1}{3}$ - 2 $\frac{3}{8}$ + 5 $\frac{7}{12}$

6 $\frac{3}{8}$

7 $\frac{5}{12}$

17 $\frac{5}{12}$

17 $\frac{13}{24}$

A boy walked 7 km on a bearing 060°. Which of the following diagrams shows his direction.

The pie chart is to be drawn from the data in the following table:

Cassava	20%
Yam	17%
Plantain	28%
Maize	35%

What will be the value of the angle of the sector for maize?

126.0 ^o

100.8 ^o

72.0 ^o

61.2 ^o

A box can take 12 pencils. If 156 pencils are packed into such boxes, how many boxes will be fully packed?

Find the least common multiple of 7, 14 and 18.

71418

1764

252

126

At what rate of simple interest will ₵5,000.00 amount to ₵7,500 if saved for 5 years?

6 $\frac{2}{3}$ %

7 $\frac{1}{2}$ %

10%

12 $\frac{1}{2}$ %

If q = ut + $\frac{1}{2}$ ft, find q when u = 20, t = 10 and f = 15

350

275

237.5

42.5

10.

A point (-2, 3) is reflected in the x-axis. Find the image of the point.

(-3, -2)

(-3, 2)

(-2, -3)

(-2, 3)

11.

Simplify 3(5a² + 2c) - 2a(1 - 3a) - 6c.

21a² - 2a - 6c

13a² - 2a - 12c

13a² - 2a

21a² - 2a

12.

Number on die	1	2	3	4	5	6
Frequency	4	3	3	2	3	5

The table shows the results when a student tossed a die many times.

Use the information to answer the question below

Find the mode.

13.

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

1,020

10,200

102,000

1,020,000

14.

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

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{3}{4}$

15.

Find the Least Common Multiple (LCM) of the numbers 5,10 and 12.

2 x 3 x 5

2 x 3² x 5

2² x 3 x 5

2² x 3² x 5²

16.

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

2 $\frac{1}{3}$

4 $\frac{1}{4}$

6 $\frac{2}{3}$

17.

Find the Least Common Multiple (L.C.M) of 2, 3 and 5.

18.

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

19.

Express 0.000344 in standard form.

3.44 x 10^-6

3.44 x 10^-5

3.44 x 10^-4

3.44 x 10^-3

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.

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

Use it to answer the question below.

What fraction of the farm is planted with pepper?

$\frac{1}{3}$

$\frac{1}{4}$

$\frac{1}{5}$

$\frac{2}{9}$

$\frac{7}{32}$

22.

The average mass of 4 boys is 45 kg. When a fifth boy joins them, the average mass changes to 40 kg. What is the mass of the fifth boy?

5 kg B

10 kg

15 kg

20 kg

25 kg

23.

It takes 15 men, 48 days to weed a plot of land. How many men can weed the same plot of land in 16 days, if they work at the same rate?

24.

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.

What is the probability that a child chosen at random scored 3 marks?

$\frac{2}{54}$

$\frac{3}{54}$

$\frac{2}{10}$

$\frac{3}{10}$

$\frac{1}{3}$

25.

Express 0.68 as a fraction in its lowest term.

$\frac{7}{25}$

$\frac{17}{25}$

$\frac{3}{5}$

$\frac{7}{15}$

26.

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

17%

34%

68%

85%

27.

The area of a trapezium is 36 cm². If the parallel sides are 10.5 cm and 9.5 cm, calculate the distance between the two parallel sides.

1.0 cm

1.8 cm

3.2 cm

3.6 cm

28.

Find the image of the point (-2,3) under a reflection in the y-axis.

(2,-3)

(-3,2)

(2,3)

(3,2)

29.

Solve the inequality 3x + 6 ≤ 5x - 2.

x ≤ 2

x ≥ 2

x ≤ 4

x ≥ 4

30.

Cement and sand were mixed in the ratio 2:5. How many kilograms of cement was contained in the 35 kg of the mixture?

7 kg

10 kg

14 kg

88 kg

31.

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

32.

A bag contains 12 mangoes of which 4 are not ripe. What is the chance of picking at random a ripe mango from the bag?

$\frac{1}{8}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{2}{3}$

33.

Evaluate 10 ÷ (3 $\frac{1}{2}$ + 1 $\frac{1}{5}$ )

2 $\frac{6}{47}$

4 $\frac{2}{35}$

2 $\frac{1}{6}$

4 $\frac{7}{10}$

34.

The next term in the sequence 3, 6, 12, 24, ...

35.

If w/3 = 3(w-1)-1, find the value of w.

3⁄2

5⁄4

3⁄5

1⁄2

36.

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

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

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

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

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

37.

The table below shows the average monthly rainfall at Nankese from March, 1996 to August, 1996.

Month	Mar	Apr	May	Jun	Jul	Aug
Rainfall (mm)	99	145	227	450	267	142

Use it to answer the question below.

Which month recorded the highest amount of rainfall?

March

April

May

June

July

38.

Which of the following sets is well defined?

{Man, Kofi, Red, 14}

{Ink, Mango, Green, Nail}

{Car, Road, Glass, Book}

{Seth, Mary, Jacob, Evelyn}

39.

Express 87_ten as a base five numeral.

302_five

322_five

3022_five

3202_five

40.

A rectangular box has length 20 cm, width 6 cm and height 4 cm. Find how many cubes of size 2 cm that will fit into the box.

120

THEORY QUESTIONS

(a)

The following table shows the distribution of votes in an election for class prefect.

Name	Number of votes
Acquaye	6
Borquaye	12
Commey	18

(i)

Draw a pie chart to illustrate the distribution.

(ii)

What fraction of the votes was cast for Borquaye?

(b)

The heights in cm of 10 school children are as follows:

165, 165, 155 159, 174,
154, 169, 155, 155, 150

(i)

Make a frequency table for this data.

(ii)

Use your table to find the mode and median of the distribution.

(a)

Copy and complete the table for the relation y = $\frac{x}{20}$ , where y is the cost(in Ghana cedis) and x is the weight (in grammes) of rice sold in a market.

x (weight in grammes)	50	100	150	200	250	300
y (cost in GH₵)		5.00			12.50

(b)

(i)

On a graph sheet, draw two perpendicular axes OX and OY.

(ii)

Using a scale of 2 cm to 50 grammes on the x-axis and 2 cm to GH₵ 2.00 on the y-axis draw the graph of the relation y = $\frac{x}{20}$ .

(c)

Using the graph, find

(i)

the cost of 175 grammes of rice;

(ii)

the weight of rice that can be bought with GH₵ 14.00

(a)

Using a ruler and a pair of compasses only,

(i)

construct a triangle PQR such that |PQ| = 8 cm, angle RPQ = 90° and angle PQR = 30°. Measure |RQ|

(ii)

construct the perpendicular bisector (mediator) of RQ. Let it meet RQ at O.

(b)

With O as centre and radius OP, draw a circle. Measure |OP|.

(c)

What is the special name for the chord RQ?

(a)

The data below shows the distribution of the ages of workers in a factory.

Ages (in years)	No. of workers
19	3
24	7
29	8
34	4
39	5
44	3

(i)

How many workers are there in the factory?

(ii)

What is the modal age of the distribution?

(iii)

Calculate the mean age of the workers, correct to one decimal place.

(b)

(i)

Make T the subject of the relation

I = $\frac{P x R x T}{100}$

(ii)

If I = ₵40,000.00, P = ₵64,000.00 and R = 25%, find the value of T in years.

(a)

Using a pair of compasses and ruler only,

(i)

Construct the triangle ABC with |AB| = 8 cm, |BC| = 8cm and |AC| = 7cm.

(ii)

Bisect angle ABC and let the bisector meet AC at D. Produce |BD| to P such that |BD| = |DP|. Join AP and CP.

(b)

Measure

(i)

angle ADB;

(ii)

|AP|.

(c)

What kind of quadrilateral is ABCP?

(a)

Simplify 6 $(3 \frac{5}{6} - 1 \frac{1}{4})$ .

(b)

Copy and complete the magic square so that the sum of numbers in each row or column or diagonal is 18.

	4

7	8

(c)

Find the sum of all the factors of 24.

(d)

Given that m = $(\begin{matrix} 3 \\ -1 \end{matrix})$ , n = $(\begin{matrix} -1 \\ 2 \end{matrix})$ and r = $(\begin{matrix} 18 \\ -6 \end{matrix})$

Find m + n + r.