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Using the Difference of Two Squares

In this worksheet, students practise using the difference of two squares.

'Using the Difference of Two Squares' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Understand Integer Powers/Real Roots

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

This worksheet is about working out the difference of two squares numbers.

We use the fact that a2 - b2 factorises to (a + b) (a - b)

 

Using this fact, we can work out:

152 - 82 = (15+8)×(15-8) = 23×7 = 161

Work out the following.

892 - 112
 

Work out the following.

702 - 302
 

Work out the following.

582 - 422
 

Work out the following.

822 - 182
 

Work out the following.

762 - 242
 

Work out the following.

872 - 132
 

Work out the following.

982 - 22
 

Work out the following.

602 - 402
 

Work out the following.

0.872 - 0.132
 

Work out the following.

0.842 - 0.162
 
  • Question 1

Work out the following.

892 - 112
 
CORRECT ANSWER
7800
  • Question 2

Work out the following.

702 - 302
 
CORRECT ANSWER
4000
  • Question 3

Work out the following.

582 - 422
 
CORRECT ANSWER
1600
  • Question 4

Work out the following.

822 - 182
 
CORRECT ANSWER
6400
  • Question 5

Work out the following.

762 - 242
 
CORRECT ANSWER
5200
  • Question 6

Work out the following.

872 - 132
 
CORRECT ANSWER
7400
  • Question 7

Work out the following.

982 - 22
 
CORRECT ANSWER
9600
  • Question 8

Work out the following.

602 - 402
 
CORRECT ANSWER
2000
  • Question 9

Work out the following.

0.872 - 0.132
 
CORRECT ANSWER
0.74
  • Question 10

Work out the following.

0.842 - 0.162
 
CORRECT ANSWER
0.68
---- OR ----

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