NRICH: Missing Multipliers

The multiplication square below has had all its headings and answers hidden. All of the headings are numbers from 2 to 12.

By clicking on some of the cells to reveal the answers, can you work out what the headings must be?

Once you’ve worked out what each heading must be, drag the purple numbers to the appropriate spaces. When you think you have cracked it, click “Show the solution” to see if you are right.

What is the smallest number of answers you need to reveal in order to work out the missing headers?

Here are some more Missing Multiplier challenges you might like to try:

6 by 6 grid, using multipliers up to 15


An 8 by 8 grid, using multipliers up to 18


10 by 10 grid, using multipliers up to 20

If you enjoyed this problem you may also enjoy Gabriel’s Problem

Age 7 to 14 

Multiplication & Division
K-6, Middle School, High School

What are you looking for?


NRICH (University of Cambridge)

Website URL

Type of Resource

Online Game

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