Where you end up facing, where you stand in a line, how you are related to a cousin twice removed, and who is oldest — all four are puzzles you solve by careful step-by-step deduction, not by calculation.
Same direction, add. Opposite direction, subtract. A right angle between two legs? Look for a Pythagorean triple.
Right-triangle triples worth knowing
3-4-5 • 6-8-10 • 5-12-13 • 8-15-17 • 9-12-15
Position from the other end = total − position you know + 1. Total = position from left + position from right − 1.
Draw a quick family tree on rough paper. Mark who is whose parent, then read off the answer.
🪜 Building the family tree
Ordering puzzles compare people two at a time. Line them up in your head — or on paper — from most to least.
12 IMO-style questions. Draw it out on rough paper before you answer! 🍀