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Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?

Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?

Four children were sharing a set of twenty-four butterfly cards. Are there any cards they all want? Are there any that none of them want?

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

This problem looks at how one example of your choice can show something about the general structure of multiplication.

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.