Your Solutions - Stage 4 & 5

Same Length

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

Shopping Basket

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

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

Iff

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

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

System Speak

Stage: 5 Challenge Level: Challenge Level:1

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

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?

Irrational Arithmagons

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

Can you work out the irrational numbers that belong in the circles to make the multiplication arithmagon correct?

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...

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?