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MYTS 2017 - Grade 10 - Round 2 Question 5

MYTS · MYTS 2017 - Grade 10 - Round 2

Question 5

The diagram is a pyramid of 21 squares. Mr Thuận fills each square with a natural number, with every entry above the bottom row equal to the sum of the two entries immediately below it. The filled diagram is an example. What is the smallest possible number of even entries in the pyramid? Explain why.

Question illustration

Question illustration