You may also like
Coke Machine
The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...
At a Glance
The area of a regular pentagon looks about twice as a big as the pentangle star drawn within it. Is it?
Cosines Rule
Three points A, B and C lie in this order on a line, and P is any point in the plane. Use the Cosine Rule to prove the following statement.
Age 14 to 16
Challenge Level
At what angle must the billiard ball be struck for it to return to its start position?
Your answer will depend on the length and breadth of the table, but does it depend on where the ball is to start with?
Don't be too quick to accept this diagram - what assumptions might it be useful to make about the rebound angles?
Now use that to draw your own diagram.
Copyright © 1997 - 2023. University of Cambridge.
All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.