# 2001 AMC 10 Problems

1. The median of the list 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?

4. What is the maximum number for the possible points of intersection of a circle and a triangle?