Your Post-16 Solutions

Pentakite

Age 14 to 18
Challenge Level

Given a regular pentagon, can you find the distance between two non-adjacent vertices?

To Swim or to Run?

Age 16 to 18
Challenge Level

The famous film star Birkhoff Maclane wants to reach her refreshing drink. Should she run around the pool or swim across?

Network Trees

Age 14 to 18
Challenge Level

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

Quad in Quad

Age 14 to 18
Challenge Level

Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

IFFY Triangles

Age 14 to 18
Challenge Level

Can you prove these triangle theorems both ways?

Iffy Logic

Age 14 to 18
Challenge Level

Can you rearrange the cards to make a series of correct mathematical statements?

Dodgy Proofs

Age 16 to 18
Challenge Level

These proofs are wrong. Can you see why?

River Crossing

Age 11 to 18
Challenge Level

There is nothing half so much worth doing as simply messing about in boats...

A Frosty Puddle

Age 16 to 18
Challenge Level

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

Solving by Squaring

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?

The Tour De Clochemerle

Age 14 to 18
Challenge Level

Can you work out where these 5 riders came in a not-quite-so-famous bike race?