2001 AMC 10 Problems

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1. The median of the list $n; n + 3; n + 4; n + 5; n + 6; n + 8; n + 10; n + 12; n + 15$ is 10. What is the mean?

(A) 4 (B) 6 (C) 7 (D) 10 (E) 11

2. A number x is 2 more than the product of its reciprocal and its additive inverse. In which interval does the number lie? (A) ¡4 · x · ¡2 (B) ¡2 < x · 0 (C) 0 < x · 2 (D) 2 < x · 4 (E) 4 < x · 6

3. The sum of two numbers is S. Suppose 3 is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers? $(A) 2S + 3 (B) 3S + 2 (C) 3S + 6 (D) 2S + 6 (E) 2S + 12$

4. What is the maximum number for the possible points of intersection of a circle and a triangle? $(A) 2 (B) 3 (C) 4 (D) 5 (E) 6$

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