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Place eight queens on an chessboard (an 8 by 8 grid) so that none can capture any of the others.

Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

What happens if this pdf is the arc of a circle?

The symbol [ ] means 'the integer part of'. Can the numbers [2x]; 2[x]; [x + 1/2] + [x - 1/2] ever be equal? Can they ever take three different values?

Use the fact that: x²-y² = (x-y)(x+y) and x³+y³ = (x+y) (x²-xy+y²) to find the highest power of 2 and the highest power of 3 which divide 5^{36}-1.

What is the sum of: 6 + 66 + 666 + 6666 ............+ 666666666...6 where there are n sixes in the last term?

Can you reproduce the Yin Yang symbol using a pair of compasses?

A challenging activity focusing on finding all possible ways of stacking rods.

In this activity focusing on capacity, you will need a collection of different jars and bottles.