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

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