1970 Canadian MO Problems

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Problem 1

Solution

Problem 2

Solution

Problem 3

Solution

Problem 4

Solution

Problem 5

A quadrilateral has one vertex on each side of a square of side-length 1. Show that the lengths , , and of the sides of the quadrilateral satisfy the inequalities

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Resources

• 1970 Canadian MO
• Canadian Mathematical Olympiad
• Canadian MO Problems and Solutions