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2022年AMC10美国数学竞赛真题2021A卷.docx


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Problem 1
The ratio is closest to which of the followution
Problem 10
What is the sum of all of the roots of
.
Solution
Problem 11
Jamal wants to save 30 files onto disks, each with MB space. 3 of the files take up MB each, 12 of the files take up MB each, and the rest take up MB each. It is not possible to split a file onto 2 different disks. What is the smallest number of disks needed to store all 30 files.
Solution
Problem 12
Mr. Earl E. Bird leaves home every day at 8:00 AM to go to work. If he drives at an average speed of 40 miles per hour, he will be late by 3 minutes. If he drives at an average speed of 60 miles per hour, he will be early by 3 minutes. How many miles per hour does Mr. Bird need to drive to get to work exactly on time.
Solution
Problem 13
Given a triangle with side lengths 15, 20, and 25, find the triangle's smallest height.
Solution
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Problem 14
Both roots of the quadratic equation number of possible values of is
Solution
Problem 15
are prime numbers. The
Using the digits 1, 2, 3, 4, 5, 6, 7, and 9, form 4 two-digit prime numbers, using each digit only once. What is

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