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?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.