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?
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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.