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Calculating Powers Mentally

In this worksheet, students practise calculating powers mentally.

'Calculating Powers Mentally' worksheet

Key stage:  KS 4

Curriculum topic:  Number

Curriculum subtopic:  Calculate with Roots and Integer (Fractional) Indice

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

This worksheet is about working out powers in your head.

 

Examples

Write down the following without using a calculator.
Check your answers on your calculator.
Keep practising those you did not know until you know them all by heart.

 

130 =
1

 

any number raised to the power 0 is 1

 

 

1001/2 =
10

 

when you raise a number to the power ½, you are finding the positive square root of the number

 

 

10001/3 =
10

 

when you raise a number to the power 1/3, you are finding the cube root of the number

 

 

103 =
1000

 

this is cubing the number, i.e. 10 x 10 x 10

In your head, calculate:

 

491/2 =
 

In your head, calculate:

 

81/3 =
 

In your head, work out:

 

43 =
 

 

Work out:

 

103 =
 

 

What is?

 

70 =
 

 

Work out:

 

641/2 =
 

 

Work out:

 

1251/3 =
 

 

Work out:

 

1691/2 =
 

 

What is ?....

 

10001/3 =
 

 

Work out:

 

154920 =
 

 

  • Question 1

In your head, calculate:

 

491/2 =
 
CORRECT ANSWER
7
EDDIE SAYS
√49
  • Question 2

In your head, calculate:

 

81/3 =
 
CORRECT ANSWER
2
EDDIE SAYS
Cube root of 8
  • Question 3

In your head, work out:

 

43 =
 

 

CORRECT ANSWER
64
EDDIE SAYS
4 × 4 × 4
  • Question 4

Work out:

 

103 =
 

 

CORRECT ANSWER
1000
EDDIE SAYS
10 × 10 × 10
  • Question 5

What is?

 

70 =
 

 

CORRECT ANSWER
1
EDDIE SAYS
Anything raised to the power 0 is 1
  • Question 6

Work out:

 

641/2 =
 

 

CORRECT ANSWER
8
EDDIE SAYS
√64
  • Question 7

Work out:

 

1251/3 =
 

 

CORRECT ANSWER
5
EDDIE SAYS
cube root of 125
  • Question 8

Work out:

 

1691/2 =
 

 

CORRECT ANSWER
13
EDDIE SAYS
√169
  • Question 9

What is ?....

 

10001/3 =
 

 

CORRECT ANSWER
10
EDDIE SAYS
cube root of 1000
  • Question 10

Work out:

 

154920 =
 

 

CORRECT ANSWER
1
EDDIE SAYS
Anything raised to the power of 0 is 1
---- OR ----

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