Visualising and representing

How much of the square is coloured blue? How will the pattern continue?

Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?

Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.

Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

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

Weekly Problem 36 - 2007
Find the length along the shortest path passing through certain points on the cube.

Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?