problem Reflected Back Age 11 to 14 Challenge level Imagine reflecting the letter P in all three sides of a triangle in turn. What is the final result?
problem Pyramidal N-Gon Age 14 to 16 Challenge level 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?
problem Product and Sum Age 11 to 14 Challenge level When Jim rolled some dice, the scores had the same product and sum. How many dice did Jim roll?
problem Trisected Triangle Age 14 to 16 Challenge level Weekly Problem 34 - 2015 Four tiles are given. For which of them can three be placed together to form an equilateral triangle?
problem Doubly Symmetric Age 11 to 14 Challenge level 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?
problem Travelling by Train Age 14 to 16 Challenge level Stephen stops at Darlington on his way to Durham. At what time does he arrive at Durham?
problem Oldest and Youngest Age 14 to 16 Challenge level Edith had 9 children at 15 month intervals. If the oldest is now six times as old as the youngest, how old is her youngest child?
problem Travelator Age 14 to 16 Challenge level When Andrew arrives at the end of the walkway, how far is he ahead of Bill?
problem Same Face Age 11 to 14 Challenge level A cube is rolled on a plane, landing on the squares in the order shown. Which two positions had the same face of the cube touching the surface?
problem Tennis Training Age 14 to 16 Challenge level After tennis training, Andy, Roger and Maria collect up the balls. Can you work out how many Andy collects?