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Quarters
Weekly Problem 27 - 2014
Four congruent isosceles trapezia are placed in a square. What fraction of the square is shaded?
Open the Box
Weekly Problem 37 - 2015
A piece of card is folded to make an open box. Given its surface area, can you work out its volume?
Leaning Over
Weekly Problem 31 - 2017
The triangle HIJ has the same area as the square FGHI. What is the distance from J to the line extended through F and G?
Four Square
Weekly Problem 17 - 2015
A square contains two overlapping squares. What is the total of the shaded regions?
Reading From Behind
Can you find the time between 3 o'clock and 10 o'clock when my digital clock looks the same from both the front and back?
School Dinners
Our school dinners offer the same choice each day, and each day I try a new option. How long will it be before I eat the same meal again?
Medal Ceremony
The teacher has forgotten which pupil won which medal. In how many different ways could he give the medals out to the pupils?
Hamiltonian Cube
Weekly Problem 36 - 2007
Find the length along the shortest path passing through certain points on the cube.