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Recognise Powers of 2, 3, 4 and 5

In this worksheet, students will calculate powers up to 5 (2, 3, 4 and 5) and roots, building up recognition of the most common examples and their products.

'Recognise Powers of 2, 3, 4 and 5' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel, OCR, Eduqas, AQA,

Curriculum topic:   Number, Indices and Surds

Curriculum subtopic:   Structure and Calculation Powers and Roots

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

What is a power?

Powers are where we multiply numbers by themselves a given number of times.

They can also be called indices and orders.

 

ab

The bottom number (called the base) is the number we are multiplying together.

The top number (the power, index or order) is how many of them we will multiply together.

 

e.g. 23 means to multiply three numbers 2s together (2 x 2 x 2).

 

You will be expected to know the powers for 2, 3, 4 and 5:

 

Powers of 2

21 22 23 24 25
2 2 x 2 2 x 2 x 2 2 x 2 x 2 x 2 2 x 2 x 2 x 2 x 2
2 4 8 16 32

 

Powers of 3

31 32 33 34 35
3 9 27 81 243

 

Powers of 4

41 42 43 44 45
4 16 64 256 1024

 

Powers of 5

51 52 53 54 55
5 25 125 625 3125

 

 

In this activity, we will calculate powers up to 5 and roots, building up recognition of the most common examples and their products. 

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