# Using the Difference of Two Squares

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

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:

### 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
7800
• Question 2

Work out the following.

702 - 302
4000
• Question 3

Work out the following.

582 - 422
1600
• Question 4

Work out the following.

822 - 182
6400
• Question 5

Work out the following.

762 - 242
5200
• Question 6

Work out the following.

872 - 132
7400
• Question 7

Work out the following.

982 - 22
9600
• Question 8

Work out the following.

602 - 402
2000
• Question 9

Work out the following.

0.872 - 0.132
0.74
• Question 10

Work out the following.

0.842 - 0.162
0.68
---- OR ----

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