Your Solutions - Stage 4 & 5

Cyclic Quadrilaterals

Stage: 3 and 4 Challenge Level: Challenge Level:1

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?

Fit for Photocopying

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Explore the relationships between different paper sizes.

The Root of the Problem

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

Find the sum of this series of surds.

System Speak

Stage: 5 Challenge Level: Challenge Level:1

Five equations... five unknowns... can you solve the system?

Mega Quadratic Equations

Stage: 5 Challenge Level: Challenge Level:1

What do you get when you raise a quadratic to the power of a quadratic?

Area L

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

Graphs of Changing Areas

Stage: 5 Challenge Level: Challenge Level:1

Use graphs to gain insights into an area and perimeter problem, or use your knowledge of area and perimeter to gain insights into the graphs...