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Estimating Cube Roots

In this worksheet, students estimate cube roots.

'Estimating Cube Roots' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

 This table shows the first few whole numbers and their cubes.

 

1  2
3 4 5 6 7 8 9 10
1  8
27 64 125 216 343 512 729 1000

 

This means that the 3√729 = 9 and 3√1000 = 10.

It also means that the cube root of any number between 729 and 1000 lies between 9 and 10.

Between which two numbers does the following cube root lie?

 

3√10

7 and 8

2 and 3

3 and 4

Between which two numbers does the following cube root lie?

 

3√30

3 and 4

2 and 3

7 and 8

Between which two numbers does the following cube root lie?

 

3√60

3 and 4

2 and 3

7 and 8

Between which two numbers does the following cube root lie?

 

3√20

3 and 4

2 and 3

7 and 8

Between which two numbers does the following cube root lie?

 

3√250

7 and 8

6 and 7

5 and 6

Between which two numbers does the following cube root lie?

 

3√150

7 and 8

6 and 7

5 and 6

Between which two numbers does the following cube root lie?

 

3√400

7 and 8

6 and 7

5 and 6

Between which two numbers does the following cube root lie?

 

3√900

9 and 10

8 and 9

7 and 8

Between which two numbers does the following cube root lie?

 

3√800

9 and 10

8 and 9

7 and 8

Between which two numbers does the following cube root lie?

 

3√520

9 and 10

8 and 9

7 and 8

  • Question 1

Between which two numbers does the following cube root lie?

 

3√10

CORRECT ANSWER
2 and 3
  • Question 2

Between which two numbers does the following cube root lie?

 

3√30

CORRECT ANSWER
3 and 4
  • Question 3

Between which two numbers does the following cube root lie?

 

3√60

CORRECT ANSWER
3 and 4
  • Question 4

Between which two numbers does the following cube root lie?

 

3√20

CORRECT ANSWER
2 and 3
  • Question 5

Between which two numbers does the following cube root lie?

 

3√250

CORRECT ANSWER
6 and 7
  • Question 6

Between which two numbers does the following cube root lie?

 

3√150

CORRECT ANSWER
5 and 6
  • Question 7

Between which two numbers does the following cube root lie?

 

3√400

CORRECT ANSWER
7 and 8
  • Question 8

Between which two numbers does the following cube root lie?

 

3√900

CORRECT ANSWER
9 and 10
  • Question 9

Between which two numbers does the following cube root lie?

 

3√800

CORRECT ANSWER
9 and 10
  • Question 10

Between which two numbers does the following cube root lie?

 

3√520

CORRECT ANSWER
8 and 9
---- OR ----

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