Secondary Toughnuts


We sometimes have unsolved problems which require solutions. If there are any below, do consider having a go at them, and send us your solutions.

You may be interested in the article we have written, which explains what we are looking for when we decide which solutions to publish.


Dodgy Proofs

Age 16 to 18
Challenge Level

These proofs are wrong. Can you see why?

Solving by Squaringlive

Age 16 to 18 Short
Challenge Level

Which of the statements is true?

Inequalities

Age 16 to 18
Challenge Level

Which of the statements must be true?

Two Cubic Equationslive

Age 16 to 18 Short
Challenge Level

Which statement correctly describes the real roots of the equation?

Network Trees

Age 14 to 18
Challenge Level

Explore some of the different types of network, and prove a result about network trees.

A Frosty Puddlelive

Age 16 to 18
Challenge Level

Can you draw a sketch of how Frosty's volume changes as his height decreases?