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Missing Multipliers

Age 7 to 14
Challenge Level Yellow star
Secondary curriculum
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources

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:

A 6 by 6 grid, using multipliers up to 15

An 8 by 8 grid, using multipliers up to 18

A 10 by 10 grid, using multipliers up to 20

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






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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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