# AMC10 2001.docx - AMC10 2001 Problem 1 The median of the...

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AMC10 2001 Problem 1 The median of the list is . What is the mean? Solution Problem 2 A number is more than the product of its reciprocal and its additive inverse. In which interval does the number lie? Solution Problem 3 The sum of two numbers is . Suppose is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers? Solution Problem 4 What is the maximum number for the possible points of intersection of a circle and a triangle? Solution Problem 5 How many of the twelve pentominoes pictured below have at least one line of symmetry? Solution Problem 6 Let and denote the product and the sum, respectively, of the digits of the integer . For example, and . Suppose is a two-digit number such that . What is the units digit of ? Solution Problem 7 When the decimal point of a certain positive decimal number is moved four places to the right, the new number is four times the reciprocal of the original number. What is the original number? Solution Problem 8 Wanda, Darren, Beatrice, and Chi are tutors in the school math lab. Their schedule is as  #### You've reached the end of your free preview.

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• Fall '19
• Numerical digit, Decimal, triangle, Numeral system
• • •  