OBJECTIVE TEST

Factorize ax + 3x + a + 3

x(a + x)

(x - a)(x + 3)

x(a - x)

(a + 3)(x + 1)

Simplify

Given that vector a = $(\begin{matrix} -2 \\ 3 \end{matrix})$ and vector b = $(\begin{matrix} 2 \\ -5 \end{matrix})$ , find a + 2b.

$(\begin{matrix} 6 \\ 13 \end{matrix})$

$(\begin{matrix} 2 \\ -13 \end{matrix})$

$(\begin{matrix} -2 \\ 7 \end{matrix})$

$(\begin{matrix} 2 \\ -7 \end{matrix})$

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

A straight line passes through the points P(-5,-3) and Q(-4,-7). Find the gradient of the line PQ.

-4

- $\frac{1}{4}$

$\frac{1}{4}$

Given that 1 kilometre = $\frac{5}{8}$ mile, what is 240 miles in kilometres?

150 km

190 km

384 km

390 km

In the diagram, XYZ is a triangle. YW is a straight line. Angle XYZ = 52° and angle XZW = 125°.

Find angle YXZ.

35°

55°

73°

107°

A football field is 120 m long and 75 m wide. What is the perimeter of the field?

195 m

390 m

780 m

900 m

Express 2700 as a product of prime numbers.

2² × 3² × 5²

2 × 3³ × 5²

2² × 3³ × 5²

2 × 3² × 5³

10.

A rectangular tank has dimensions 2.5 m by 4 m by 5 m. It is filled with water to the brim. If 35 m³ of the water is used, how much water is left in the tank?

50 m³

35 m³

25 m³

15 m³

11.

Which of the following best describes the construction in the diagram?

Constructing a 30° angle.

Constructing a 60° angle.

Bisecting a line segment.

Bisecting a given angle.

Drawing a perpendicular from a given point.

12.

Find the simple interest on ₵15,000.00 at rate of 20% per annum for 5 years.

₵10,000.00

₵15,000.00

₵30,000.00

₵50,000.00

₵90,000.00

13.

Use the identity a² – b² = (a + b)(a – b) to evaluate 83² - 17²

660

6,600

7,178

7,600

8,317

14.

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

71418

1764

252

126

15.

The sum of 5 and x divided by 4 is equal to 3.25. Find the value of x.

2 $\frac{1}{4}$

-3 $\frac{4}{13}$

16.

At a meeting attended by 23 people, the females were 7 more than the males. How many males were there?

17.

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

18.

Express 87_ten as a base five numeral.

302_five

322_five

3022_five

3202_five

19.

Which of the following polygons does not have a line of symmetry?

Kite

Isosceles triangle

Trapezium

Rhombus

20.

Simplify 6(7a + 4) - 3(8a + 9)

18a - 3

18a + 51

42a - 27

66a -3

21.

Which of the fractions $\frac{13}{20}$ , $\frac{3}{5}$ , $\frac{3}{4}$ and $\frac{7}{10}$ is greatest?

$\frac{3}{5}$

$\frac{3}{4}$

$\frac{7}{10}$

$\frac{13}{20}$

22.

Correct 0.02751 to three decimal places.

0.027

0.028

0.03

0.28

23.

Find the Least Common Multiple(L.C.M) of 4, 5 and 6.

24.

An article which cost GH₵ 600.00 was sold at a discount of 10%. Find the selling price.

GH₵ 60.00

GH₵ 504.00

GH₵ 560.00

GH₵ 540.00

25.

Adjoa travelled 12km due north and 5km due east. How much far was she from her starting point?

60km

17km

13km

7km

26.

There are 20 beads in a box. Some are red and some green. The chance that one bead taken at random from the box is red is $\frac{1}{4}$ . Find the number of red beads in the box.

27.

John walks for 22 $\frac{1}{2}$ minutes and runs 7 $\frac{1}{2}$ minutes to school. What percentage of the total time does he spend walking?

25%

30%

33%

75%

28.

Find the value of x in the polygon below

12°

36°

60°

72°

29.

Express 0.0043216 in standard form.

4.3216 x 10^-4

4.3216 x 10^-3

4.3216 x 10

4.3216 x 10³

4.3216 x 10⁴

30.

A farmer left home at 4:35 am and arrived on his farm at 6:18 am. How long did he take to get to his farm?

1 hour 23 minutes

1 hour 43 minutes

2 hours 43 minutes

10 hours 53 minute

31.

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

32.

Factorize 22ab – 11ac + 6rb – 3rc.

(2b – c) (11a + 3r)

(2b + c) (11a – 3r)

(2b – c) (11a – 3r)

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

33.

An amount of money is shared between Kofi and Ama in the ratio 3 : 5. If Ama received ₵4,650.00, what is Kofi's share?

₵930.00

₵1,550.00

₵1,743.75

₵2,790.00

₵2,906.25

34.

In the diagram, square P¹Q¹R¹S¹ is an enlargement of square PQRS from centre O. The area of PQRS is 4 cm² and the area of P¹Q¹R¹S¹ is 9 cm².

Find the scale factor of the enlargement.

$\frac{2}{3}$

$\frac{4}{9}$

1 $\frac{1}{2}$

- $\frac{2}{3}$

2 $\frac{1}{4}$

35.

Expand – x(3 – 2x).

-2x² - 3x

2x² - 3x

-2x² + 3x

2x² + 3x

36.

The ages in years of 10 children at a party are 2,3,3,3,4,4,5,5,5 and 6. If a child is chosen at random, what is the probability that he or she is not less than 5 years old?

$\frac{2}{3}$

$\frac{2}{5}$

$\frac{3}{10}$

$\frac{1}{2}$

37.

If 6:8 = r:48, find the value of r

38.

A rectangle has an area of 36 cm² and a width of 3 cm. Find its perimeter.

12 cm

18 cm

24 cm

30 cm

39.

One of the factors of the expression 4m² + 12m - 8m - 24 is (4m - 8). Find the other factor.

m - 3

m + 3

2m + 3

2m - 3

40.

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

Use it to answer the question below

Find the value of the angle marked X°.

30°

40°

100°

150°

THEORY QUESTIONS

(a)

A boy has enough money to buy 14 pencils at ₵450.00 each. How many erasers costing ₵300.00 each can he buy with the same amount of money?

(b)

A circle has a circumference of 44cm. Calculate its radius if π = $\frac{22}{7}$

(c)

Simplify (2 $\frac{1}{4}$ - 1 $\frac{5}{8}$ ) ÷ 3 $\frac{7}{16}$ .

(d)

If $\frac{5(n + 6)}{n}$ = 1, find n.

Simplify: 5(6 - ab) + 2(-7 + 3ab)

The equation of a straight line is given by 3x - 2y - 6 = 0. Find the:
(i) gradient of the line;
(ii) y-intercept

Adwoa received a commission of 20% on bread she sold. In one week, Adwoa's commission was GH₵ 540.00.
(i) How much bread did she sell during that week?
(ii) Find her average daily commission.

(a)

Using a ruler and a pair of compasses only, construct triangle XYZ, such that |XY| = 6cm, |XZ| = 8cm and |YZ| = 10cm.

(b)

(i)

Construct the mediator of line YZ

(ii)

construct the mediator of line XZ

(iii)

Locate O, the point of intersection of the mediators of lines YZ and XZ.

(iv)

With centre O and radius OY, draw a circle.

(c)

Measure the radius of the circle you have drawn in (b) (iv) above and hence calculate the circumference of the circle.

[ Take π = 3.14 ]

The table below shows the marks scored out of 10 by some candidates in a test.

Mark	1	2	3	4	5	6	7	8
Number of candidates	2	3	5	7	8	13	7	5

(a)

From the table, find

(i)

the modal mark;

(ii)

how many candidates took the test;

(iii)

the mean mark for the test.

(b)

If 20% of the candidates failed,

(i)

how many failed?

(ii)

What is the least mark a candidate should score in order to pass?

The table shows the number of students in a JSS class who prepared various dishes for their practical.

Dishes	No. of students
Fufu and light soup	5
Banku and Okro stew	20
Fried rice	30
Fried plantain and beans	25
Boiled yam and palaver sauce	10

(a)

(i)

Draw a pie chart for the distribution above.

(ii)

What dish was prepared most?

(iii)

What percentage of students prepared fried rice

(b)

What is the probability that a student chosen at random cooked fried plantain and beans?

(a)

Solve $\frac{4x - 3}{2}$ = $\frac{8x - 10}{8}$ + 2 $\frac{3}{4}$

(b)

Using a scale of 2 cm to 1 unit on both axes, draw two perpendicular lines OX and OY on a graph sheet for the x-axis from -5 to 5 and the y-axis from -6 to 6.

(i)

Plot the points A(2, 3) and B(-3, 4) and join them with a long straight line.

(ii)

Plot on the same graph sheet, the points C(4, 2) and D(-2, -3) and join them with a long straight line to meet the line through AB.

(iii)

Measure the angle between the lines through AB and CD.

(iv)

Find the coordinates of the point at which the lines through AB and CD meet.