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MathNet 2026 — Part 01 Question 82

Math Olympiad Vault · MathNet 2026 — Part 01

Question 82

In a math marathon, the number of questions is very large. The value of each question is equal to its position in the test: 1 point for question 1, 2 points for question 2, 3 points for question 3, 4 points for question 4, \ldots, 10 points for question 10, \ldots\ And so on. Joana totaled 1991 points in the test, missing just one question and hitting all the others. What question did she miss? How many questions did the test have?