Visualising and representing

Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?

Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?

What shapes can be made by folding an A4 sheet of paper only once?

Which of the statements about diagonals of polygons is false?

A huge wheel is rolling past your window. What do you see?

A solid 'star' shape is created. How many faces does it have?

Can you picture how to order the cards to reproduce Charlie's card trick for yourself?

Weekly Problem 19 - 2009
When I looked at the greengrocer's window I saw a sign. When I went in and looked from the other side, what did I see?

What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?

Every third page number in this book has been omitted. Can you work out what number will be on the last page?