Your Solutions - Stage 4 & 5

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?

Building Tetrahedra

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you make a tetrahedron whose faces all have the same perimeter?

Of All the Areas

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?

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...

Towering Trapeziums

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find the areas of the trapezia in this sequence?