2022年AMC 10A 真题:
Problem 1
What is the value of
Problem 2
Mike cycled laps in
minutes. Assume he cycled at a constant speed throughout. Approximately how many laps did he complete in the first
minutes?
Problem 3
The sum of three numbers is The first number is
times the third number, and the third number is
less than the second number. What is the absolute value of the difference between the first and second numbers?
Problem 4
In some countries, automobile fuel efficiency is measured in liters per kilometers while other countries use miles per gallon. Suppose that 1 kilometer equals
miles, and
gallon equals
liters. Which of the following gives the fuel efficiency in liters per
kilometers for a car that gets
miles per gallon?
Problem 5
Square has side length
. Points
,
,
, and
each lie on a side of
such that
is an equilateral convex hexagon with side length
. What is
?
Problem 6
Which expression is equal to for
Problem 7
The least common multiple of a positive integer and
is
, and the greatest common divisor of
and
is
. What is the sum of the digits of
?
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