This worksheet teaches students the connection between multiplication and division, using fact families, inverse operations and number machines to find missing numbers. The worksheet is split into warm-up questions, standard questions and then extension questions to test you.
The concepts it covers:
- Multiplication and division are inverse operations: one undoes the other.
- A fact family has 2 multiplication facts and 2 division facts using the same three numbers: 3 × 4 = 12, 4 × 3 = 12, 12 ÷ 3 = 4, 12 ÷ 4 = 3.
- To find a missing factor, divide: 20 × □ = 240 → □ = 240 ÷ 20 = 12.
- Division is not commutative: 8 ÷ 2 = 4, but 2 ÷ 8 is not 4.
What your child will practise:
- Writing the four facts in a fact family.
- Using a known multiplication fact to answer a division.
- Finding a missing number by using the inverse operation.
- Checking a division by multiplying (and the other way round).
- Working backwards through a two-step number machine.
Every section opens with a worked example, and the download includes a full answer key with step-by-step solutions and teaching notes on the mistakes students most commonly make.
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