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# Shape Products

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### Two and Two

### Think of Two Numbers

### Special Numbers

Links to the University of Cambridge website
Links to the NRICH website Home page

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30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Age 11 to 14

Challenge Level

*Shape Products printable worksheet
Shape Products printable worksheet - extra clues*

The coloured shapes stand for eleven of the numbers from $0$ to $12$. Each shape is a different number.

Can you work out what they are from the multiplications below?

A | B |

C | D |

E | F |

G | H |

If you need some more clues, click below to reveal four more multiplications:

I | J |

K | L |

**Extension**

Once you have worked out the value of each shape above, take a look at the two multiplications below:

Can you work out the value of the shapes in each product?

This activity originally featured in the hands-on Brain Buster Maths Boxes, developed by members of the NRICH Team and produced by BEAM. These resources are out of print but can still be found on Amazon.

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?