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Work Out the Difference of Two Squares

In this worksheet, students calculate the difference of two squares.

'Work Out the Difference of Two Squares' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

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)

 

Example

Work out the difference of  these two squares.

4852 - 4832
 

 

Answer

We need to work out (485 - 483) (485 + 483)

Notice that the first bracket equals 2.

So this is 2 (968) = 2 x 968 = 1936

Work out the difference of these two squares.

122 - 112
 

Work out the difference of these two squares.

102 - 92
 

Work out the difference of these two squares.

82 - 72
 

Work out the difference of these two squares.

132 - 122
 

Work out the difference of these two squares.

1522 - 1512
 

Work out the difference of these two squares.

2232 - 2222
 

Work out the difference of these two squares.

1612 - 1602
 

Work out the difference of these two squares.

2282 - 2272
 

Work out the difference of these two squares.

4002 - 3982
 

Work out the difference of these two squares.

4102 - 4082
 
  • Question 1

Work out the difference of these two squares.

122 - 112
 
CORRECT ANSWER
23
  • Question 2

Work out the difference of these two squares.

102 - 92
 
CORRECT ANSWER
19
  • Question 3

Work out the difference of these two squares.

82 - 72
 
CORRECT ANSWER
15
  • Question 4

Work out the difference of these two squares.

132 - 122
 
CORRECT ANSWER
25
  • Question 5

Work out the difference of these two squares.

1522 - 1512
 
CORRECT ANSWER
303
  • Question 6

Work out the difference of these two squares.

2232 - 2222
 
CORRECT ANSWER
445
  • Question 7

Work out the difference of these two squares.

1612 - 1602
 
CORRECT ANSWER
321
  • Question 8

Work out the difference of these two squares.

2282 - 2272
 
CORRECT ANSWER
455
  • Question 9

Work out the difference of these two squares.

4002 - 3982
 
CORRECT ANSWER
1596
  • Question 10

Work out the difference of these two squares.

4102 - 4082
 
CORRECT ANSWER
1636
---- OR ----

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