Problems
Charlie's Delightful Machine
Age 11 to 16 Challenge Level:
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
A Little Light Thinking
Age 14 to 16 Challenge Level:
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
Mystic Rose
Age 14 to 16 Challenge Level:
Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.
Summing Geometric Progressions
Age 14 to 18 Challenge Level:
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
Factors and Multiples Graphs
Age 14 to 18 Challenge Level:
Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross
Fix Me or Crush Me
Age 16 to 18 Challenge Level:
Can you make matrices which will fix one lucky vector and crush another to zero?
Fundamental Particles Collection
Age 16 to 18 Challenge Level:
A collection of problems related to the mathematics of fundamental physics.
Featured Solution
Hyperbolic Thinking
We received a great solution to this problem explaining the links between the functions A and B and the trig and hyperbolic functions.
Articles & Games
NRICH is part of the family of activities in the Millennium Mathematics Project.