Bitesize has changed! We're updating subjects as fast as we can. Visit our new site to find Bitesize guides and clips - and tell us what you think!

Home > Maths > Algebra > Number patterns

Maths

Number patterns

Print
Next

Number patterns in diagrams

A number pattern in a diagram often requires counting shapes to find the rule. Again, look at how the pattern grows from one term to the next.

Example:

square number patterns
  • Pattern 1 has 0 orange tiles and 3 blue tiles, so 3 tiles altogether
  • Pattern 2 has 1 orange tiles and 5 blue tiles, so 6 tiles altogether
  • Pattern 3 has 2 orange tiles and 7 blue tiles, so 9 tiles altogether
Question

Q1. Based on the number patterns above, draw pattern 4.

Q2. Look again at the number patterns above. Write the rule and the fourth terms for:
a) orange tiles
b) blue tiles
c) all tiles

Answer

A1.

square numbers pattern

Pattern 4 has 3 orange tiles and 9 blue tiles, so 12 tiles altogether

A2.
a) The rule for the number pattern of orange tiles is 'add 1' and the 4th term is 3.
b) The rule for the number pattern of blue tiles is 'add 2' and the 4th term is 9.
c) The rule for the number pattern of all tiles is 'add 3' and the 4th term is 12.

Next

Activity

Number patterns activity

Follow the rules and try this activity!

Play

Spherox

Use your knowledge to help Spherox find his way home.

BBC © 2014 The BBC is not responsible for the content of external sites. Read more.

This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.