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Advanced Problem Solving Module 13

Geometry: useful things to remember
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Geometry: useful things to remember

A non-exhaustive list of geometry facts, notions and proofs, useful to remember when answering STEP and other advanced mathematics examinations questions.
8 Methods for Three By One
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8 Methods for Three By One

Age
14 to 18
Challenge level
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This problem in geometry has been solved in no less than EIGHT ways by a pair of students. How would you solve it? How many of their solutions can you follow? How are they the same or different? Which do you like best?