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FMO 2026 - Grade 6 - National - Paper 03 Question 21

FMO · FMO 2026 - Grade 6 - National - Paper 03

Question 21

Ethan, Oliver, Peter and Ron describe their football team’s tournament results. Ethan says 3 wins, 5 defeats, 2 ties. Oliver says 9 wins, 4 defeats, 6 ties. Peter says 7 wins, 5 defeats, 3 ties. Ron says 6 wins, 4 defeats, 9 ties. Exactly one of each person’s three claims is true. The actual numbers of wins, defeats and ties are pairwise different. How many matches were played?