Visualising and representing

Can you work out how to produce different shades of pink paint?

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

Are these games fair? How can you tell?

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Can you mark 4 points on a flat surface so that there are only two different distances between them?

Weekly Problem 37 - 2013
Which of the statements about diagonals of polygons is false?

A card with the letter N on it is rotated through two different axes. What does the card look like at the end?

How many different triangles can you make on a circular pegboard that has nine pegs?

Imagine starting with one yellow cube and covering it all over with a single layer of red cubes, and then covering that cube with a layer of blue cubes. How many red and blue cubes would you need?

Show that all pentagonal numbers are one third of a triangular number.