Skip over navigation

Making Connections

Making connections

These problems from Underground Mathematics encourage you to use and make connections between areas of mathematics.

Parabella
Age 14 to 18
Challenge Level

Can you prove an algebraic statement using geometric reasoning?

Slices of Pi
Age 16 to 18
Challenge Level

How are $\sin x$, $\cos x$ and $\tan x$ related to each other? Can you make sense of the the 'slices'?

Rotating Derivatives
Age 16 to 18
Challenge Level

By considering a point on a unit circle, can you use geometry to find the derivatives of $\sin x$ and $\cos x$?

Can You Find... Asymptote Edition
Age 16 to 18
Challenge Level

Can you work out the equation of the function from its graph?

You may also like

Making Sense of Statistics

This collection of problems has been put together to help you to explore and understand important ideas in statistics.

The Value of Working Systematically

These problems are best solved using systematic approaches.

Integration as Area

These problems invite you to explore integration as area, and use area integrals to solve problems.