OBJECTIVE TEST

The table below shows the day and night temperatures of a town during a week. Use it to answer the question below.

Week	Temperature (^oC)
Week	Day	Night
Monday	33	24
Tuesday	29	25
Wednesday	32	23
Thursday	34	26
Friday	32	24
Saturday	30	24
Sunday	30	25

On which day was the change in temperature the least?

Monday

Saturday

Sunday

Tuesday

If 2y = 1-3x²+4x, find y when x = -1

-3

-½

Express 12/25 in decimal fraction.

0.0408

0.048

0.408

0.48

How many lines of symmetry has a square?

Evaluate $\frac{0.036}{0.02}$

0.018

0.18

1.8

18.0

The mean of the numbers 4, 3, 3, x is 5, find x

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.

Calculate the mean mark.

–54

5.4

540

Which of the following fractions is the greatest? $\frac{1}{6}$ , $\frac{1}{4}$ , $\frac{1}{2}$ , $\frac{1}{3}$ , $\frac{1}{5}$

$\frac{1}{6}$

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{2}$

A man was 24 years old when his son was born. Now he is three times as old as his son. Find the age of the son.

6 years

12 years

18 years

36 years

10.

In the diagram, line MN is parallel to line TU, line TS cuts line MN at O and ∠MOS = 115^o. Find ∠OTU.

65^o

55^o

45^o

25^o

11.

Use the diagram below to answer the question below

Find the value of x.

68^o

75^o

112^o

124^o

12.

The diagram above is the net of a

cone.

cuboid.

rectangular prism.

pyramid

13.

Kofi's age in the next ten years will be four times his age five years ago. How old is Kofi now?

14.

Correct 0.024561 to three significant figures.

0.03

0.025

0.0245

0.0246

15.

A square of side 4 cm is enlarged by a scale factor of 3. Calculate the area of the enlarged square.

36 cm²

72 cm²

96 cm²

144 cm²

16.

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 %

17.

Find the size of the angle marked f, in the diagram above

56°

72°

108°

128°

18.

If n² + 1 = 50, find n

24.5

$\sqrt{51}$

19.

Illustrate 3 < x < 5 on the number line, where x ∈ {rational numbers}.

20.

If 4 - x = 3(4x + 5), find the value of x.

$\frac{11}{13}$

1 $\frac{6}{13}$

-1 $\frac{6}{13}$

$\frac{-11}{13}$

21.

Express 72 as a product of its prime factors.

2 x 3³

2² x 3²

2³ x 3

2³ x 3²

22.

How many lines of symmetry has a rhombus?

23.

Given that P(3,-2) and Q(-2,4) are points in a plane, find the gradient of the line joining P to Q.

-⁶⁄₅

⁶⁄₅

⁵⁄₆

-⁵⁄₆

24.

A simple interest of GH₵ 37,500.00 is earned on an amount of GH₵ 500,000.00 for 3 years. Calculate the percentage rate.

20.0 %

10.0 %

5.0 %

2.5 %

25.

In a class of 24 pupils, 10 study French only and 8 study English only. If each pupil studies at least one of the two subjects, how many study English?

26.

Convert 25_ten to a base two numeral.

1000

100111

10101

11001

11100

27.

A shop is rented at GH₵ 9.00 per month. How much money is paid in 1½ years?

GH₵ 162.00

GH₵ 135.00

GH₵ 6.00

GH₵ 13.00

28.

If 2n - 5 = $\frac{1}{2}$ n, find the value of n.

$\frac{1}{3}$

$\frac{1}{2}$

2 $\frac{1}{2}$

3 $\frac{1}{3}$

29.

The least common multiple (L.C.M) of 16, 30 and 36 is

240

720

30.

Use the information below to answer the question below

In the diagram above, the cylinder has diameter 4 cm and length 14 cm.

[Take π = $\frac{22}{7}$ ]

What is the volume of the cylinder?

176 cm³

44 cm³

$\frac{176}{7}$ cm³

$\frac{88}{7}$ cm³

$\frac{44}{7}$ cm³

31.

Evaluate $\frac{2}{3}$ (27 - 12) - 6.

32.

If 14_x = 9_ten, find x.

Nine

Eight

Seven

Six

Five

33.

The ratio of the ages of two sisters is 4 : 3. The elder sister is 3 years older than the younger one. How old is the younger sister?

9 years

12 years

15 years

18 years

34.

Use the figure below to answer the question below.

Find the value of x.

20°

30°

40°

50°

35.

Write the number 34.1 in standard form.

3.41 x 10^-2

3.41 x 10^-1

3.41 x 10⁰

3.41 x 10

36.

Factorize 22ab – 11ac + 6rb – 3rc.

(2b – c) (11a + 3r)

(2b + c) (11a – 3r)

(2b – c) (11a – 3r)

(2b + c) (11a + 3r)

37.

Given that 2² x 3² x 7 = 252, find the least number that should be multiplied by 252 to make the product a perfect square.

252

38.

Make P the subject of the relation, R = $\frac{(P+Q)}{2}$

P = Q - 2R

P = 2R - Q

P = 2R + Q

P = 2Q + R

39.

A bag contains 5 red and 7 black balls of the same size. What is the probability of picking a black ball?

40.

In a class of 20 pupils, 8 pupils read Mathematics, 13 read English and 3 read both Mathematics and English.

Use this information to answer the question below.

How many pupils do not read either Mathematics or English?

THEORY QUESTIONS

The sum of the interior angles of a regular polygon is 900^o. Find the number of sides of the polygon.

Using a ruler and a pair of compasses only, construct:

triangle XYZ such that length XY = 10 cm, angle XYZ = 30^o and length YZ = 9 cm;

perpendicular from Z to meet line XY at P;

iii

measure the:

length PZ;

angle XYZ.

calculate, correct to the nearest whole number, the area of triangle XYZ.

Simplify

, leaving the answer in standard form.

Make r the subject of the relation

ii)

From (b)(i), find the value of r when y = 3 and x = 10.

Juliet bought 1,756 kg of frozen chicken, 675 g of vegetables and 95 g of corn oil from a Shopping Mall. What is the total weight of the items she bought in kilogram?

(a)

Solve the inequality $\frac{5x - 3}{6}$ - $\frac{2x - 4}{4}$ < 2

(b)

(i)

Copy and complete the table of values for he relation, y = 2x + 1

x	-3	-2	-1	0	1	2	3	4
y	-5	-3		1			7

(ii)

Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 units on the y-axis, plot the ordered pairs (x, y) on a graph sheet.

(iii)

Use a ruler to join the joints plotted.

(iv)

Use your graph to find

(α)

x when y = 4

(β)

y when x = -2.5

(a)

If 4m - 2(3 + 2m) + m(2m + 4) = 0, find the values of m.

(b)

At a political rally, there were 240 women, 200 men, 160 boys and 120 girls.

(i)

Draw a pie chart to illustrate the information.

(ii)

What percentage of the people at the rally were females?

(a)

Simplify $\frac{2a + 4b}{3}$ - $\frac{3(a - b)}{2}$

(b)

Solve 5(a – 5) – $\frac{1}{2}$ (2a + 6) = 4

(c)

If r = $(\begin{matrix} 3 \\ 1 \end{matrix})$ and q = $(\begin{matrix} -2 \\ 1 \end{matrix})$ , calculate 6(r + 2q).

(a)

A car runs on the average at 45 km to 5 litres of fuel. Calculate how many litres of fuel are required for a journey of 117 km.

(b)

(i)

Solve for x in the inequality $\frac{2}{3}$ (2x + 5) ≤ 8 $\frac{2}{3}$

(ii)

Illustrate the solution on the number line.

(c)

A factory increased its production by 22 $\frac{1}{2}$ % and produced 49,000 tonnes. How many tonnes was it producing before?