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Double Digit

Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. Try lots of examples. What happens? Can you explain it?

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Upsetting Pitagoras

Find the smallest integer solution to the equation 1/x^2 + 1/y^2 = 1/z^2

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Rudolff's Problem

A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?

Eight Dominoes

Age 7 to 16 Challenge Level:

Using the 8 dominoes:

8 dominoes

make a square where each of the columns and rows adds up to 8.

An example domino square

How many possible solutions are there?

You may find our Dominoes Environment useful for working on this problem.

Printable NRICH Roadshow resource.