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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
problem
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8 methods for three by one

Age
14 to 18
Challenge level
filled star filled star empty star
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?