# Work Out the Difference of Two Squares

In this worksheet, students calculate 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)

Example

Work out the difference of  these two squares.

4852 - 4832

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
23
• Question 2

Work out the difference of these two squares.

102 - 92
19
• Question 3

Work out the difference of these two squares.

82 - 72
15
• Question 4

Work out the difference of these two squares.

132 - 122
25
• Question 5

Work out the difference of these two squares.

1522 - 1512
303
• Question 6

Work out the difference of these two squares.

2232 - 2222
445
• Question 7

Work out the difference of these two squares.

1612 - 1602
321
• Question 8

Work out the difference of these two squares.

2282 - 2272
455
• Question 9

Work out the difference of these two squares.

4002 - 3982
1596
• Question 10

Work out the difference of these two squares.

4102 - 4082
1636
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