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Weekly Problem 28 - 2006
What can you say about the rectangles that form this L-shape?

Weekly Problem 16 - 2008
A 30cm x 40cm page of a book includes a 2cm margin on each side... What percentage of the page is occupied by the margins?

Triangle T has sides of lengths 6, 5 and 5. Triangle U has sides of lengths 8, 5 and 5. What is the ratio of their areas?

Calculate the ratio of areas of these squares which are inscribed inside a semi-circle and a circle.

Four cards from a set numbered 1-36 are dealt. What is the probability that they are dealt in order?

Suppose you had to begin the never ending task of writing out the natural numbers: 1, 2, 3, 4, 5.... and so on. What would be the 1000th digit you would write down.

Charlie and Gabriel are walking towards each other's houses. What is the chance that they'll meet along the way?

The Zargoes use almost the same alphabet as English. What does this birthday message say?

Find the squares that Froggie skips onto to get to the pumpkin patch. She starts on 3 and finishes on 30, but she lands only on a square that has a number 3 more than the square she skips from.

Three equilateral triangles ABC, AYX and XZB are drawn with the point X a moveable point on AB. The points P, Q and R are the centres of the three triangles. What can you say about triangle PQR?