Patterns and missing numbers

Year 6 · Maths

Explore numbers, spot patterns and explain how you worked it out.

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Learning about patterns and missing numbers

These Year 6 Maths games practise Simple formulae: find n, Linear number sequences. Choose a game above for a short activity, or explore the examples below before you play. The full guide for each game explains its controls, gives more examples and includes a free printable for practice away from the screen.

Talk it through

Use counters, a drawing or a number line before moving to a mental method. Ask your child to explain a choice, then change one number and try the method again.

Ask: “How could you show the same answer another way?” Give your child time to explain. Return to an example after playing and ask whether they would approach it differently.

Simple formulae: find n

Year 6 pupils use simple formulae and express missing number problems algebraically. A letter such as n stands for an unknown number, so 'a number add 9 makes 20' becomes n + 9 = 20.

Try an example: Solve n − 4 = 9.

Add 4 to both sides: 9 + 4 = 13.

Show the answer

n = 13

What to look out for

Reading 3n as 30-something, such as 3n = 35 meaning n = 5. 3n means 3 × n, not a two-digit number.

Read the full Simple formulae: find n guide

Linear number sequences

Year 6 pupils generate and describe linear number sequences. In a linear sequence the same amount is added or subtracted each time, such as 2, 5, 8, 11, where the rule is add 3.

Try an example: What is the rule for 1, 5, 9, 13, …?

5 − 1 = 4, 9 − 5 = 4.

Show the answer

add 4

What to look out for

Thinking a sequence that goes below zero has stopped working. Use a number line: from 1, subtract 3 to land on −2.

Read the full Linear number sequences guide

Practise away from the screen

  • Play 'I'm thinking of a number': 'I double it and add 1 and get 15. What is my number?'
  • Count in 25s like coins in a money box: 25, 50, 75, 100.

Curriculum connections

These games support selected practice connected to Algebra in the National Curriculum in England. Use your school’s sequence to decide when to introduce and revisit each skill. A game covers selected examples, rather than assessing every requirement.

Read the official Maths programme of study.

Questions families ask

Where should we start with patterns and missing numbers?

Start with Simple formulae: find n. Look at the worked example together, then try a round. If the task feels unfamiliar, use the full game guide or its free printable before trying again.

Does this cover everything taught at this level?

No. This page brings together the games currently available for this topic. It supports selected skills and does not replace the full programme of study or practical teaching.