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I have supplemented these with some more possible areas for investigation.

With a bit of ingenuity you can enrich even quite simple topics to bring in a range of mathematical skills.

The 2 hardest levels – Level 6 and Level 7 are particularly tough – are you good enough to crack them?

Ideas for investigation: The authors of the latest Pearson Mathematics SL and HL books have come up with 200 ideas for students doing their maths explorations.

5) Diophantine equations: These are polynomials which have integer solutions.

Fermat’s Last Theorem is one of the most famous such equations.

The twin prime conjecture states that there are infinitely many consecutive primes ( eg. There has been a recent breakthrough in this problem.Use this resource like you would a good wiki – as a starting point and inspiration for your own personal investigation.Before choosing a topic you need to read this page which gives very important guidance from the IB.There are Maths Murder Mysteries, Spy games and more.Solve all the clues in a level to make it onto the leaderboard.

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He served time in the late 1990s on a drug conviction, was arrested in November 2000 for drug possession and was busted again in April 2001 in Culver City, California.

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— Josh Bivens joined the Economic Policy Institute in 2002 and is currently the director of research and policy. He previously worked as an assistant budget analyst and research assistant with the House Budget Committee.