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Weekly Problem 52 - 2014
Four arcs are drawn in a circle to create a shaded area. What fraction of the area of the circle is shaded?

A parallelogram is formed by joining together four equilateral triangles. What is the length of the longest diagonal?

A rectangular plank fits neatly inside a square frame when placed diagonally. What is the length of the plank?

A rectangular piece of paper is folded. Can you work out one of the lengths in the diagram?

This quadrilateral has an unusual shape. Are you able to find its area?

Weekly Problem 27 - 2013
The diagram shows a parallelogram inside a triangle. What is the value of $x$?

Harriet Hare and Turbo Tortoise want to cross the finish line together on their 12 mile race.... What time should Harriet set off?

I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

Make one big triangle so the numbers that touch on the small triangles add to 10.

Can you find the missing number(s)? The square is the average (mean) of the numbers surrounding it.