1998 JBMO Problems
Prove that the number (which has 1997 of 1-s and 1998 of 2-s) is a perfect square.
Let be a convex pentagon such that , and . Compute the area of the pentagon.
Find all pairs of positive integers such that
Do there exist 16 three digit numbers, using only three different digits in all, so that the all numbers give different residues when divided by 16?
|1998 JBMO (Problems • Resources)|
1997 JBMO Problems
1999 JBMO Problems
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