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The white square slides once around the pink square. Through what distance does the point P on the white square move?

Weekly Problem 5 - 2006
How many times does the inside disc have to roll around the inside of the ring to return to its initial position?

How long will it take six gardeners to dig six circular flower beds?

Walking up a steep hill, I pass 10 equally spaced street lamps. How long do I take to walk from the first lamp to the last?

Weekly Problem 11 - 2007
A circle of radius 1 rolls without slipping round the inside of a square of side length 4. Find an expression for the number of revolutions the circle makes.

To make porridge, Goldilocks mixes oats and wheat bran..... what percentage of the mix is wheat?

A 1x2x3 block is placed on an 8x8 board and rolled several times.... How many squares has it occupied altogether?

From this sum of powers, can you find the sum of the indices?

The English mathematician Augustus de Morgan has given his age in algebraic terms. Can you work out when he was born?

Tom and Jerry start with identical sheets of paper. Each one cuts his sheet in a different way. Can you find the perimeter of the original sheet?