Mathematics Revision Worksheet
Grade: VII
# Factors and Multiples
1. Find the HCF and LCM of the following:
(a) 32, 48, 72
(b) 54, 90, 240
(c) 36, 54, 75
(d) 21, 35, 42
(e) 30, 75, 90, 135
2
3
5
7
5
2
3
2
6
(f) 2 × 3 × 5 ×11 𝑎𝑛𝑑 2 × 3 × 11 3
4
4
(g) 4 × 7 ×17 𝑎𝑛𝑑 5 × 4 × 7
5
2. Which of the following numbers are divisible by 2, 3, 4, 5, 6, 10 and 11?
(a) 1419
(b) 9372
(c) 666533
(d) 8250
3. Find the square root of each of the following numbers:
(a) 784
(b) 2025
(c) 11025
4. Find the cube root of each of the following numbers:
(a) 512
(b) 5832
(c) 91125
5. Find the area of a square of side 17 cm.
2
6. What is the length of a side of a square whose area is 1296 𝑐𝑚 ?
7. What is the volume of a cube of side 15 cm?
3
8. Given that the volume of a cube is 4096 𝑐𝑚 , 𝑓𝑖𝑛𝑑 𝑡ℎ𝑒 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑖𝑡𝑠 𝑒𝑑𝑔𝑒.
# Estimation and Approximation
Q. Express the following correct to the number of decimal places or significant figures
indicated within the brackets:
● 0.08567 (3 decimal places)
● 0.08567 (3 significant figures)
● 5.096 (3 decimal places)
● 5.096 (3 significant figures)
● 726990 (2 significant figures)
● 0.05876 (2 decimal places)
● 0.05376 (2 significant figures)
● 0.05376 (1 significant figures)
● 0.006138 (2 decimal places)
● 0.006138 (2 significant figures)
● 0.003549 (3 significant figures)
● 0.003549 (3 decimal places)
# Perimeter and Area of Circle
1. Complete the following table below for each circle:
s
eter
mference
m
𝑚
2
m
2. Find the perimeter and area of each of the following figures:
# Volume and Surface Area of Cuboid, Pyramid, Cylinder
Q. Find the volume and surface area of each of the following figures:
# Angle bisector & Line bisector
1. Draw a line PQ of length 8 cm. construct the perpendicular bisector of PQ.
2. Draw an angle ABC of 75 degree. Construct the bisector of angle ABC.
# 𝑃𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒𝑠, 𝐹𝑟𝑎𝑐𝑡𝑖𝑜𝑛𝑠 𝑎𝑛𝑑 𝐷𝑒𝑐𝑖𝑚𝑎𝑙𝑠, 𝐸𝑥𝑝𝑟𝑒𝑠𝑠𝑖𝑛𝑔 𝑜𝑛𝑒 𝑞𝑢𝑎𝑛𝑡𝑖𝑡𝑦 𝑎𝑠 𝑎
percentage of another and Percentage change.
1. Complete the following table:
ntage
on
5
1
4
mal
%
1
1
3
0.008
1.5
10
11
0. 27%
2. Calculate the following:
(a) 55% of 8hrs.
(b) 123% of 56 cm
(c) 80% of 6000 people
(d) 30.6% of 125 lt.
3. Express 26 cm as a percentage of 1 km
4. Express 42 min as a percentage of 2 hrs.
5. Express 25 cents as a percentage of $2.
6.
A house cost $200000 in 2006. By 2011 the price of the house had risen by 20%. What is
the new cost of the house?