Difference between revisions of "2021 AMC 10A Problems"
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{{AMC10 Problems|year=2021|ab=A}} | {{AMC10 Problems|year=2021|ab=A}} | ||
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+ | February 4, 2021, is when the AMC 10A starts. | ||
==Video Solutions== | ==Video Solutions== | ||
https://youtu.be/C3n2hgBhyXc ~ThePuzzlr | https://youtu.be/C3n2hgBhyXc ~ThePuzzlr | ||
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==Problem 1== | ==Problem 1== | ||
What is the value of<cmath>(2^2-2)-(3^2-3)+(4^2-4)?</cmath><math>\textbf{(A)} ~1 \qquad\textbf{(B)} ~2 \qquad\textbf{(C)} ~5 \qquad\textbf{(D)} ~8 \qquad\textbf{(E)} ~12 </math> | What is the value of<cmath>(2^2-2)-(3^2-3)+(4^2-4)?</cmath><math>\textbf{(A)} ~1 \qquad\textbf{(B)} ~2 \qquad\textbf{(C)} ~5 \qquad\textbf{(D)} ~8 \qquad\textbf{(E)} ~12 </math> |
Revision as of 13:31, 11 February 2021
2021 AMC 10A (Answer Key) Printable versions: • AoPS Resources • PDF | ||
Instructions
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1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 |
February 4, 2021, is when the AMC 10A starts.
Contents
[hide]- 1 Video Solutions
- 2 Problem 1
- 3 Problem 2
- 4 Problem 3
- 5 Problem 4
- 6 Problem 5
- 7 Problem 6
- 8 Problem 7
- 9 Problem 8
- 10 Problem 9
- 11 Problem 10
- 12 Problem 11
- 13 Problem 12
- 14 Problem 13
- 15 Problem 14
- 16 Problem 15
- 17 Problem 16
- 18 Problem 17
- 19 Problem 18
- 20 Problem 19
- 21 Problem 20
- 22 Problem 21
- 23 Problem 22
- 24 Problem 23
- 25 Problem 24
- 26 Problem 25
Video Solutions
https://youtu.be/C3n2hgBhyXc ~ThePuzzlr
Problem 1
What is the value of
Problem 2
Portia's high school has times as many students as Lara's high school. The two high schools have a total of students. How many students does Portia's high school have?
Problem 3
The sum of two natural numbers is . One of the two numbers is divisible by . If the units digit of that number is erased, the other number is obtained. What is the difference of these two numbers?
Problem 4
A cart rolls down a hill, travelling inches the first second and accelerating so that during each successive -second time interval, it travels inches more than during the previous -second interval. The cart takes seconds to reach the bottom of the hill. How far, in inches, does it travel?
Problem 5
The quiz scores of a class with students have a mean of . The mean of a collection of of these quiz scores is . What is the mean of the remaining quiz scores of terms of ?