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 Travelator Age 14 to 16 Challenge level When Andrew arrives at the end of the walkway, how far is he ahead of Bill?
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 Squares in a square Age 11 to 14 Challenge level In the diagram, the small squares are all the same size. What fraction of the large square is shaded?
problem Semicircular design Age 14 to 16 Challenge level Weekly Problem 9 - 2016 The diagram to the right shows a logo made from semi-circular arcs. What fraction of the logo is shaded?
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 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 Growing surprises Age 11 to 14 Challenge level Can you find the connections between linear and quadratic patterns?
problem Square number surprises Age 14 to 16 Challenge level There are unexpected discoveries to be made about square numbers...