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Know Your Numbers: Number Worms

In this worksheet, students find the next number in a sequence given a simple rule.

'Know Your Numbers: Number Worms' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Sequences

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Number sequences sometimes use rules to generate the next number.

 

Here is a simple rule:

If the number is even, divide it by 2.

If the number is odd, subtract 1 from it.

Stop when you get to the number 1.

 

Look at this Number Worm, which shows this rule starting at the number 60.

 

If the number is even, divide it by 2.

If the number is odd, subtract 1 from it.

Stop when you get to the number 1.

 

Work out the values of A, B and C in this number worm, using the rule above.

 

Column A

Column B

A
2
B
5
C
10

If the number is even, divide it by 2.

If the number is odd, subtract 1 from it.

Stop when you get to the number 1.

 

Work out the values of A, B and C in this number worm, using the rule above.

 

Column A

Column B

A
6
B
2
C
3

If the number is even, divide it by 2.

If the number is odd, subtract 1 from it.

Stop when you get to the number 1.

 

Work out the values of A, B and C in this number worm, using the rule above.

 

Column A

Column B

A
6
B
3
C
14

How many numbers will a Number Worm have starting at the number 6 ?

How many numbers will a Number Worm have starting at the number 16 ?

Will a Number Worm ever have two even numbers together?

Yes

No

Will a Number Worm ever have two odd numbers together?

Yes

No

Look at this Number Worm which follows the same rule as before.

 

 

Tick the values that A could be.

9

11

12

14

16

Look at this Number Worm which follows the same rule as before.

 

 

Tick the values that A could be.

30

25

21

60

40

Look at this Number Worm which follows the same rule as before.

 

 

Tick the values that A could be.

22

25

21

60

42

  • Question 1

If the number is even, divide it by 2.

If the number is odd, subtract 1 from it.

Stop when you get to the number 1.

 

Work out the values of A, B and C in this number worm, using the rule above.

 

CORRECT ANSWER

Column A

Column B

A
10
B
5
C
2
  • Question 2

If the number is even, divide it by 2.

If the number is odd, subtract 1 from it.

Stop when you get to the number 1.

 

Work out the values of A, B and C in this number worm, using the rule above.

 

CORRECT ANSWER

Column A

Column B

A
6
B
3
C
2
  • Question 3

If the number is even, divide it by 2.

If the number is odd, subtract 1 from it.

Stop when you get to the number 1.

 

Work out the values of A, B and C in this number worm, using the rule above.

 

CORRECT ANSWER

Column A

Column B

A
14
B
3
C
6
  • Question 4

How many numbers will a Number Worm have starting at the number 6 ?

CORRECT ANSWER
4
EDDIE SAYS
6, 3, 2, 1
  • Question 5

How many numbers will a Number Worm have starting at the number 16 ?

CORRECT ANSWER
5
EDDIE SAYS
16, 8, 4, 2, 1
  • Question 6

Will a Number Worm ever have two even numbers together?

CORRECT ANSWER
Yes
  • Question 7

Will a Number Worm ever have two odd numbers together?

CORRECT ANSWER
No
  • Question 8

Look at this Number Worm which follows the same rule as before.

 

 

Tick the values that A could be.

CORRECT ANSWER
9
16
  • Question 9

Look at this Number Worm which follows the same rule as before.

 

 

Tick the values that A could be.

CORRECT ANSWER
21
40
  • Question 10

Look at this Number Worm which follows the same rule as before.

 

 

Tick the values that A could be.

CORRECT ANSWER
42
---- OR ----

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