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## 'It Figures' printed from http://nrich.maths.org/

### Why do this
problem?

This
activity makes interesting use of multiplication facts.
The challenge can easily be used without the connection
with fractions and by just dealing with the denominators.

### Key questions

Tell me about the numbers you've found.

### Possible extension

For more advanced/experienced/older pupils, challenge them to
find the number of different combinations according to:-

the number of fractions that are
allowed to be multiplied together;

the range of numbers that are
allowed to be used.

If you pursue this you may come across the addition of
triangular numbers [to make pyramid numbers] and then
the addition of these [pyramid] numbers, and so on!

### Possible support

Calculators may be supportive for those pupils without fast
recall of facts.