Visualising and representing

How many numbers less than 2017 are both the sum of two consecutive integers and the sum of five consecutive integers?

What is the surface area of the solid shown?

After tennis training, Andy, Roger and Maria collect up the balls. Can you work out how many Andy collects?

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?

When Andrew arrives at the end of the walkway, how far is he ahead of Bill?

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?

In the diagram, the small squares are all the same size. What fraction of the large square is shaded?

Weekly Problem 9 - 2016
The diagram to the right shows a logo made from semi-circular arcs. What fraction of the logo is shaded?

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

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?