What is the first term of a Fibonacci sequence whose second term is 4 and fifth term is 22?
What is the smallest number of colours needed to paint the faces of a regular octahedron so that no adjacent faces are the same colour?
In the diagram, the small squares are all the same size. What fraction of the large square is shaded?
Given a 2 by 2 by 2 skeletal cube with one route 'down' the cube. How many routes are there from A to B?
Draw all the possible distinct triangles on a 4 × 4 dotty grid. Convince me that you have all possible triangles.
Blue Flibbins are so jealous of their red partners that they will not leave them on their own with any other bue Flibbin. What is the quickest way of getting the five pairs of Flibbins safely to the new planet?
Can you cross each of the seven bridges that join the north and south of the river to the two islands, once and once only, without retracing your steps?
Is it possible to rearrange the numbers 1,2......12 around a clock face in such a way that every two numbers in adjacent positions differ by any of 3, 4 or 5 hours?
