Your Solutions - Stage 4 & 5

Which Is Cheaper?

Age 14 to 16 Challenge Level:

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

Which Is Bigger?

Age 14 to 16 Challenge Level:

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

Exploring Cubic Functions

Age 14 to 18 Challenge Level:

Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Semi-regular Tessellations

Age 11 to 16 Challenge Level:

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Surprising Equalities

Age 14 to 18 Challenge Level:

Take any triangle, and construct squares on each of its sides. What do you notice about the areas of the new triangles formed?

Quad in Quad

Age 14 to 16 Challenge Level:

Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

Pentagon Construction

Age 16 to 18 Challenge Level:

Follow the instructions to create a regular pentagon. Can you prove it is indeed regular?