Missing digits in long multiplication
A long multiplication of two 2-digit numbers, PQ × QP, is set out in full: both rows of working and the answer. P and Q are digits, and the student works out what they are.
The working holds the clues: the last digit of the first row, for instance, comes from Q × P. It's a puzzle about how long multiplication works, not just a sum.
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What changes each time
- P and Q are single digits
- The two numbers are each other's digits reversed
- A new pair of digits every time
More multiplication and division practice
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- Arrays (equal rows) (Grade 2)
- Multiplying whole numbers (Grade 3)
- Short division (Grade 3)
- Matching multiplication sentences to pictures (Grade 3)
- Fact family triangles (Grade 3)
- Times table grid (Grade 3)
- Area model multiplication (Grade 3)
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- Highest common factor (HCF) (Grade 3)
- Lowest common multiple (LCM) (Grade 3)