Six incredibly difficult maths puzzles that only the world’s elite can answer

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Mathematician

Man solves puzzle from the International Maths Olympiad

How good are you at math (or 'maths' if you live in the UK)? If you're at all mathematically accomplished, you'll easily answer the international PISA Test questions aimed at 15 year olds globally. You'll also easily be able to answer one of the more difficult questions from this year's GCSE exams aimed at 16 year-olds in the UK.  But can you answer the kinds of maths puzzles encountered by the world's best mathematicians in the International Mathematical Olympiad which started yesterday?

We've provided a selection of puzzles from Olympiad papers over the past nine years on the page below. If you think you have the solutions, please submit them via the comments box at the bottom of this page. We're not able to offer a prize, but we will be suitably impressed.

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Olympiad 1

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