England · Year 6 · Ages 10–11 · Worked examples

Year 6 Four Operations: Worked Examples

See free Year 6 four operations worked examples with clear strategies and answers, aligned to the England primary curriculum.

Model the thinking

Four worked examples

Try each question first, then compare the strategy and answer. The aim is to understand the method, not just copy the final result.

1
Multiply

4,326 × 27 = __.

How to think about it: Read the digits and place-value clues carefully. Work one place at a time, then use the number pattern or inverse fact to check the result. Say the number aloud if that makes the structure clearer.

Show answer

Answer: 116,802

2
Long division

7,560 ÷ 24 = __.

How to think about it: Read the digits and place-value clues carefully. Work one place at a time, then use the number pattern or inverse fact to check the result. Say the number aloud if that makes the structure clearer.

Show answer

Answer: 315

3
Order of operations

6 + 4 × 5 = __.

How to think about it: Read the digits and place-value clues carefully. Work one place at a time, then use the number pattern or inverse fact to check the result. Say the number aloud if that makes the structure clearer.

Show answer

Answer: 26

4
Multi-step

A theatre has 48 rows of 36 seats. 275 are empty. How many are occupied?

How to think about it: Read the digits and place-value clues carefully. Work one place at a time, then use the number pattern or inverse fact to check the result. Say the number aloud if that makes the structure clearer.

Show answer

Answer: 1,453

Next step

Turn the explanation into practice

Use the printable for independent work, or return to the topic overview to choose another way to practise.

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