MERRYLAND INTERNATIONAL SCHOOL
DEPARTMENT OF MATHEMATICS
GRADE: 8
Term–I EXAM REVISION
NAME: ______________________
1 Work out the following.
a 56 ÷ – 8 b –12 × – 5 c (–8 – 6) × 3
d 72 ÷ (5 – –7) e 72 – 32 f 42 + 53
3
g √36 − √27 h (−4)2 i √(−4)2
4 Calculate.
92 × √121
a 250 + 73 × (12 + 7) b
21 − 18
5 Find the value of:
a x2 – y3 when x = 0.8 and y = 0.12.
b (a + b)2 when a = 3.6 and b = 1.2
6 Find the LCM and HCF of 18 and 30.
7 Write 224 and a product of its prime factors.
3
8 a Calculate √40 , writing down your full calculator display.
b Write your answer to part (a) correct to:
i 3 significant figures. ii 1 significant figures
iii 2 decimal places iv 3 decimal places
v nearest whole number vi 4 significant figures
9 Find the value of:
3
a 96 b (–19)2 c 53 × √5832
10 a Calculate √169 + 2π, writing down your full calculator display.
b Write your answer to part (a) correct to 3 significant figures.
11
12 The diagram shows an isosceles triangle.
B
A C
Work out the size of each of the angles in the triangle.
13 The diagram below is an isosceles triangle. Work out the value of x.
14 Work out the following.
a 69 × 0.1 b 45 × 0.01 c 1024 × 0.001
d 9 ÷ 0.1 e 76 ÷ 0.01 f 2.3 ÷ 0.001
15 69 × 786 = 54234 Use this information to work out:
a 54234 ÷ 69 b 54234 ÷ 786 c 5423.4 ÷ 6.9
16
17
18 Complete the table below.
Number of Number of lines Order of rotational
Regular polygon
sides of symmetry symmetry
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
19 A school inspector asks these questions.
How many students are there?
What are the nationalities?
How do students commute to school?
How much time do they spend on their way to school?
a What data must the inspector collect?
b What type of data is it?
c Design a data collection sheet for the inspector.
20 Write the mathematical name of each part.
21 Work out the area and circumference of each circle.
22 Work out the area and perimeter, giving your answer in terms of π.
a Quarter circle b Semicircle
4 cm 12 cm
23 Calculate the (a) diameter and (b) radius of a circle with a circumference of 36 cm?
Give your answer to one decimal place.
24 Calculate the (a) diameter and (b) radius of a circle with an area of 60 cm?
Give your answer to one decimal place.
25 Calculate the volume. Give your answer correct to the nearest whole number.
26 Calculate the volume. Give your answer correct to the nearest whole number.
27 The diagram shows a shape drawn on dotty paper.
The shape is made from cubes.
Accurately draw the plan view, front elevation, and side
elevation for this shape.
Use a scale of 1 : 2 and use 1 cm squared paper.
28 Draw the plan view, front elevation and side elevation of the cuboid.
Use a scale of 1 : 4.
10 cm
8 cm
20 cm
29 The sides of a triangle are 7 cm, 9 cm and 10 cm. Draw the triangle accurately.
30 Draw the triangle XYZ.
Side XY = 7.5 cm, angle XYZ = 65° and side YZ = 10 cm.
q
31 p = Make q the subject.
l
32 2a = 5b + k Make b the subject.
33 y = mx + c
a Make c the subject b Express x in terms of y, m and c.
34 Expand
a 5(x + 3) b 3x(3x – 4)
35 Expand and simplify
a 6x(x – 4) + 5(x + 2) b 7x(2x – 3) – 2(x + 6)
36 Solve
a 4x + 8 = 20 b 4(x – 3) = 24
𝑥
c − 10 = 3 d 6x – 2 = 4x + 18
4
37 Work out the value of x.
38 PQ and RS are parallel lines.
Find the sizes of angles a, b, c and d.
Give a reason in each case.
39 Write the inequalities shown by these number lines.
40 Show each inequality on the number line.
a b
c d
