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Fractional Indices

In this worksheet, students understand and use fractional indices.

'Fractional Indices' 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

A fractional index of a half is the equivalent of finding a square root..

 

Using the rules for multiplying powers, notice that:

9½ x 9½ = 91

 

This must be the equivalent of:

√9 x √9 = 9

 

so

9½ = √9 = 3

Select the answer which is equal to:

 

16½

8

16½

4

Select the answer which is equal to:

 

36½

6

36½

18

Select the answer which is equal to:

 

1½

1

½

1.5

Select the answer which is equal to:

 

10½

5

√10

10.5

Select the answer which is equal to:

 

25½

25½

√12.5

√25

Select the answer which is equal to:

 

100½

10½

50

10

Select the answer which is equal to:

 

0½

½

0

1

Select the answer which is equal to:

 

10000½

10½

100

1000

Select the answer which is equal to:

 

1000½

√1000

100

33.3

Select the answer which is equal to:

 

16900½

√169

1300

130

  • Question 1

Select the answer which is equal to:

 

16½

CORRECT ANSWER
4
  • Question 2

Select the answer which is equal to:

 

36½

CORRECT ANSWER
6
  • Question 3

Select the answer which is equal to:

 

1½

CORRECT ANSWER
1
  • Question 4

Select the answer which is equal to:

 

10½

CORRECT ANSWER
√10
  • Question 5

Select the answer which is equal to:

 

25½

CORRECT ANSWER
√25
  • Question 6

Select the answer which is equal to:

 

100½

CORRECT ANSWER
10
  • Question 7

Select the answer which is equal to:

 

0½

CORRECT ANSWER
0
  • Question 8

Select the answer which is equal to:

 

10000½

CORRECT ANSWER
100
  • Question 9

Select the answer which is equal to:

 

1000½

CORRECT ANSWER
√1000
  • Question 10

Select the answer which is equal to:

 

16900½

CORRECT ANSWER
130
---- OR ----

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