You may also like

problem icon


For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?

problem icon

Is There a Theorem?

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?

problem icon

Card Trick 2

Can you explain how this card trick works?

Bishop's Paradise

Stage: 3 Short Challenge Level: Challenge Level:1
See all short problems arranged by curriculum topic in the short problems collection

Which of the following statements is false?

A An octagon has $20$ diagonals

B A hexagon has $9$ diagonals

C A hexagon has $4$ more diagonals than a pentagon

D A pentagon has the same number of diagonals as it has sides

E A quadrilateral has twice as many diagonals as it has sides


If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.  

This problem is taken from the UKMT Mathematical Challenges.