OBJECTIVE TEST

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

3⁄2

5⁄4

3⁄5

1⁄2

Find the highest common factor (HCF) of 20, 12 and 28.

Arrange the following fractions in ascending order of magnitude, $\frac{2}{5}$ , $\frac{5}{12}$ and $\frac{3}{4}$ .

$\frac{2}{5}$ , $\frac{3}{4}$ , $\frac{5}{12}$

$\frac{2}{5}$ , $\frac{5}{12}$ , $\frac{3}{4}$

$\frac{5}{12}$ , $\frac{2}{5}$ , $\frac{3}{4}$

$\frac{3}{4}$ , $\frac{2}{5}$ , $\frac{5}{12}$

The table below gives the distribution of ages of students in a class.

Use it to answer the question below.

Ages (years)	13	14	15	16	17
Number of students	3	10	6	7	4

What is the modal age?

Which of the following statements best describe the construction above?

Constructing 30°

Constructing 60°

Constructing 120°

Constructing 135°

Calculate the simple interest on ₵130,000.00 for 2 $\frac{1}{2}$ years at 12% per annum.

₵78,000.00

₵39,000.00

₵36,000.00

₵31,200.00

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)

Given that m = $\frac{b}{2}$ - t, make t the subject.

t = $\frac{b - 2m}{2}$

t = $\frac{2m - b}{2}$

t = $\frac{2b - m}{2}$

t = $\frac{b + 2m}{2}$

The area of a rectangle is 18 cm². If one of its sides is 2cm long, find its perimeter.

18 cm

20 cm

22 cm

36 cm

10.

Simplify: 3a x 24ab.

27ab²

27a²b

72ab²

72a²b

11.

Find the next two numbers in the sequence 2, 5, 9, 14, 20, _ , _ .

26, 34

26, 35

27, 34

27, 35

12.

Solve the inequality: $\frac{1}{2}$ (3x - 1) + 1 ≤ 7 + 2x.

x ≥ -14

x ≤ -14

x ≥ -13

x ≤ -13

13.

Simplify 3⁹ ÷ 3³

3²⁷

3¹²

3⁶

3³

14.

Multiply (2x + y) by (2x – y)

4x² – 4xy – y²

4x² + xy – y²

4x² – xy – y²

4x² + y²

4x² – y²

15.

The total numbers of goals scored each month by a football team are:
3, 4, 8, 2, 4, 6, 4, 8, 7 and 6.
What is the mode?

16.

A graph of a straight line AB is shown below.

Use it to answer the question below

Find the gradient of the line AB

17.

Kwame gets a commission of 20% on bread sold. In one week, Kwame's commission was ₵45,000.00. How much bread did he sell during that week?

₵205,000.00

₵220,000.00

₵225,000.00

₵235,000.00

18.

Multiply 247 by 32.

6916

7804

7904

1235

19.

A boy walked round a circular pond once. If the radius of the pond is 28 m, find the distance covered.

[Take π = $\frac{22}{7}$ ]

44 m

88 m

176 m

252 m

20.

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

56°

72°

108°

128°

21.

Simplify $\frac{1}{2}$ - $\frac{2}{3}$ + $\frac{3}{4}$

$\frac{11}{12}$

$\frac{7}{12}$

$\frac{1}{6}$

$\frac{5}{12}$

22.

Find the integers within the interval 5 < x < 9

{5,6,7}

{5,6,7,8}

{5,6,7,8,9}

{6,7,8}

{6,7,8,9}

23.

Solve the equation

-9

-3

24.

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

25.

Find the least common multiple (LCM) of 4, 6 and 10

26.

Change 10111_two to base ten.

27.

If 21 : 2x = 7 : 10, find x.

2 $\frac{1}{4}$

28.

A map is drawn to the scale 1:100,000. What distance in kilometres is represented by 5 cm on the map?

0.5 km

5.0 km

50.0 km

500.0 km

29.

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

30.

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

31.

In the diagram, QP is parallel to ST, angle QPR = 68^o and angle SRT = 40^o.

Use the information to answer the question below:

Find the value of angle TSR.

40^o

68^o

72^o

112^o

32.

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 $\frac{1}{2}$ %

33.

Given that $\sqrt{p^{2} + q^{2}}$ = p x q, find the value of a, if a = $\sqrt{13^{2} + 15^{2}}$

175

195

247

494

34.

A woman bought 210 oranges for ₵650.00. She sold all of them at 3 for ₵20.00. How much profit did she make?

₵350.00

₵450.00

₵550.00

₵650.00

₵750.00

35.

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 read English only?

36.

Solve the inequality x - $\frac{1}{3}$ ≥ $\frac{2}{3}$ - x.

x ≤ $\frac{1}{2}$

x ≤ $\frac{2}{3}$

x ≥ $\frac{1}{2}$

x ≥ $\frac{2}{3}$

37.

The two sides of a parallelogram are 4.8 m and 7.2 m long. Find its perimeter.

48.0 m

34.6 m

24.0 m

17.3 m

38.

If 6n + 4 = 16, find the value of n.

39.

What is the next term in the following set of numbers: {1, 3, 7, 15, 31, ...} ?

40.

Evaluate $\frac{0.63 x 0.70}{9.00}$

0.0049

0.049

0.49

4.9

THEORY QUESTIONS

(a)

Using a pair of compasses and ruler only, construct

(i)

triangle ABC with │AB│ = 10cm, angle ABC = 30° and angle CAB = 60° ;

(ii)

a perpendicular from the point C to meet the line AB at P.

(b)

(i)

Extend line CP to the point D such that │BC│ = │BD│.

(ii)

Join A to D and B to D.

(iii)

Measure │AC│ and │AD│.

(c)

What type of quadrilateral is ADBC?

(a)

A trader sold 250 articles for ₵525,000.00 at a profit of 25%.

(i)

Calculate the cost price of each article.

(ii)

If the trader had wanted 45% profit on the cost price, how much should he have sold each of the articles?

(b)

Find the simple interest on ₵880,000.00 for 2 $\frac{1}{2}$ years at 3 $\frac{1}{4}$ % per annum

The marks obtained by students in a class test were

4	8	7	6	7
2	1	7	4	7
3	7	6	4	3
7	5	2	7	2
5	4	8	3	2

Construct a frequency distribution table for the data.

Find the:

mode of the distribution

ii)

median mark of the test;

iii)

mean mark.

If 11y = (18)²-(15)², find the value of y.

Find the perimeter of a circle with radius 35 cm. (Take π = 22⁄7)

Given that

make r the subject of the relation

ii)

find the value of r when s = 117, m = 2 and n = -3.

(a)

Factorize completely 6xy - 3y + 4x - 2.

(b)

The diagram shows a ladder AB which leans against a vertical wall PQ at B. If |PB| is 8 m and the other end of the ladder is 6 m away from the foot of the wall (at P), find the length of the ladder (AB).

(c)

Kojo had 1,800 bags of rice in stock for sale. In January, he sold $\frac{2}{3}$ of it. In February, he sold $\frac{3}{4}$ of what was left.

(i)

What fraction of the stock of rice did he sell

(α)

in February?

(β)

in January and February?

(ii)

How many bags of rice were left unsold by the end of February?

(a)

In the diagram, PADQ and RBCS are parallel lines. │BD│ = │DC│, angle ADB = 65° and angle ABR = 50°.

(i)

Calculate the angle BDC.

(ii)

Calculate angle ABD.

(iii)

Find angle BAD.

(iv)

What type of triangle is triangle ABD?

(b)

Using a ruler and a pair of compasses only, construct triangle XYZ, with |YZ| = 8 cm, angle XYZ = 60° and |XY|=9 cm.

Measure

(i)

angle YZX;

(ii)

|XZ|