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AMC 10 and AIME problem archive

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AMC 10A 2014 · #1850
What is $10\cdot\left(\tfrac{1}{2}+\tfrac{1}{5}+\tfrac{1}{10}\right)^{-1}$ ?
AMC 10A 2024 · #1850
What is the value of $9,901\cdot101-99\cdot10,101$ ?
AMC 10 2000 · #201515
Let $A$ , $M$ , and $C$ be nonnegative integers such that $A+M+C=10$ . What is the maximum value of $A\cdot M\cdot C+A\cdot M+M\cdot C+C\cdot A$ ?

Open event · try it nowrated 1150

At a party, each of the $8$ guests shakes hands exactly once with every other guest. How many handshakes occur?

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Seven problems, adaptive difficulty. A few minutes later you have a rating on the same 600-2400 scale every problem in the library is graded on.

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The climb

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Every problem carries its source, its difficulty on the shared rating scale, and its topic. When one beats you, the official solution and a topic video are one click away. Hard problems come with two solutions.

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AMC 10

2000 – 2025

1,021

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1983 – 2025

929

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Topics from linear equations to modular arithmetic, tagged on 24 skills

After a miss · AMC 10A 2019 #17

Case 1: the red cube is excluded. Arranging one red, three blue, and four green cubes gives $\frac{8!}{4!\cdot 3!}=280$ arrangements…

Solution 1Solution 2 Casework video

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