Triangular Wheel
An equilateral triangle is rolled along a line. What is the length of the path traced out by one of its vertices?
An equilateral triangle is rolled along a line. What is the length of the path traced out by one of its vertices?
Two of the triangles in the diagram are shaded black. What is the probability the resulting figure has at least one line of symmetry?
A snail is at the corner of a cube. What proportion of the cube's surface can the snail reach within an hour?
Quince, quonce and quance are three types of fruit. Can you work out the order of heaviness of the fruits?
Each letter stands for a different digit, and S is non-zero. Which letter has the lowest value?
A male punky fish has 9 stripes and a female punky fish has 8 stripes. I count 86 stripes on the fish in my tank. What is the ratio of male fish to female fish?
A village has a pub, church and school. What is the bearing of the school from the church?
Weekly Problem 27 - 2009
The perimeter of a large triangle is 24 cm. What is the total length of the black lines used to draw the figure?
Weekly Problem 30 - 2011
Three touching circles have an interesting area between them...