Visualising and representing

An introduction to bond angle geometry.

If I walk to the bike shop, but then cycle back, what is my average speed?

Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?

Cheryl finds a bag of coins. Can you work out how many more 5p coins than 2p coins are in the bag?

Imagine reflecting the letter P in all three sides of a triangle in turn. What is the final result?

The base of a pyramid has n edges. What is the difference between the number of edges the pyramid has and the number of faces the pyramid has?

When Jim rolled some dice, the scores had the same product and sum. How many dice did Jim roll?

Weekly Problem 34 - 2015
Four tiles are given. For which of them can three be placed together to form an equilateral triangle?

What is the smallest number of additional squares that must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2?

Stephen stops at Darlington on his way to Durham. At what time does he arrive at Durham?