problem
Favourite
Unit Interval
Age
14 to 18
Challenge level
Take any two numbers between 0 and 1. Prove that the sum of the
numbers is always less than one plus their product?
problem
Favourite
Eyes Down
Age
16 to 18
Challenge level
The symbol [ ] means 'the integer part of'. Can the numbers [2x];
2[x]; [x + 1/2] + [x - 1/2] ever be equal? Can they ever take three
different values?
problem
Favourite
In Between
Age
16 to 18
Challenge level
Can you find the solution to this algebraic inequality?
page
Prepare for university - pure mathematics
Helpful preparation for those intending to study a course involving pure mathematics at university.
page
Prepare for university - applied mathematics
Helpful preparation for university for those intending to study a
course involving applied mathematics at university.
page
NRICH and Olympiads
A useful entry point into the NRICH site for those students interested in Mathematical Olympiad problems or the Maths Challenges.