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IB MATH IA RESEARCH QUESTIONS Private

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· Discoveringpatterns within this famous array of numbers

· Can you findpatterns in what numbers form a pythagorean triple?

· How does Bayesianprobability work in this real-life example, and can you add a layer ofcomplexity to it?

· An insight into themathematics of number theory

· Explore thisfascinating physics phenomenon through the world of sequences and series

· Why is it that in aroom of people probability dictates that people are very likely to share abirthday?

· Explore why certainnotes/chords in music sound dissonant, and others consonant, by looking at theratios of frequencies between the notes.

Optimizingthe area of a rectangle is easy, but can you find a way to do it for anypolygon?

· Explore themathematics of finding a maximum volume of a cuboid subject to some constraint



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