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.

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article we have written, which explains what we are looking for when we decide which solutions to publish.

##### Age 16 to 18

Challenge Level

These proofs are wrong. Can you see why?

##### Age 16 to 18 Short

Challenge Level

Which of the statements is true?

##### Age 16 to 18

Challenge Level

Which of the statements must be true?

##### Age 16 to 18 Short

Challenge Level

Which statement correctly describes the real roots of the equation?

##### Age 14 to 18

Challenge Level

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

##### Age 16 to 18

Challenge Level

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