# Know Your Squares and Cubes

In this worksheet, students study square and cube numbers and understand indices.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:

### QUESTION 1 of 10

You should know your square numbers as:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 ....

But you should also know how to write them as:

12, 22, 32, 42, 52, 62, 72, 82, 92, 102, 112, 122....

You should know your cube numbers as:

1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728 ....

But you should also know how to write them as:

13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, 123....

State the value of n:

49 = 7n

State the value of n:

36 = 6n

State the value of n:

27 = 3n

State the value of n:

8 = 2n

State the value of n:

64 = 8n

State the value of n:

64 = 4n

State the value of n:

100 = 10n

State the value of n:

729 = 9n

State the value of n:

121 = 11n

State the value of n:

1331 = 11n

• Question 1

State the value of n:

49 = 7n

2
• Question 2

State the value of n:

36 = 6n

2
• Question 3

State the value of n:

27 = 3n

3
• Question 4

State the value of n:

8 = 2n

3
• Question 5

State the value of n:

64 = 8n

2
• Question 6

State the value of n:

64 = 4n

3
• Question 7

State the value of n:

100 = 10n

2
• Question 8

State the value of n:

729 = 9n

3
• Question 9

State the value of n:

121 = 11n

2
• Question 10

State the value of n:

1331 = 11n

3
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