2021 AMC 10A Problems/Problem 1
Contents
[hide]- 1 Problem
- 2 Solution 1
- 3 Solution 2
- 4 Solution 3 (Overkill: Just for Fun)
- 5 Solution 4 (When you have too much time)
- 6 Video Solution 1 (Lightning Fast)
- 7 Video Solution 2
- 8 Video Solution 3 (Very Very Quick Computation)
- 9 Video Solution 4 (Quick Computation)
- 10 Video Solution 5 by OmegaLearn (Arithmetic Computation)
- 11 Video Solution 6
- 12 Video Solution 7
- 13 Video Solution 8 (Problems 1-3)
- 14 Video Solution 9
- 15 See Also
Problem
What is the value of
Solution 1
This corresponds to
-happykeeper
Solution 2
We have ~MRENTHUSIASM
Solution 3 (Overkill: Just for Fun)
We have -PureSwag
Solution 4 (When you have too much time)
Using the difference of squares, we have Knowing that and we get which is closest to
Video Solution 1 (Lightning Fast)
~ Education, the Study of everything
Video Solution 2
Video Solution 3 (Very Very Quick Computation)
https://www.youtube.com/watch?v=m0_UMI2mnZs&list=PLexHyfQ8DMuKqltG3cHT7Di4jhVl6L4YJ&index=2 ~North America Mathematic Contest Go Go Go
Video Solution 4 (Quick Computation)
https://youtu.be/C3n2hgBhyXc?t=37 ~ThePuzzlr
Video Solution 5 by OmegaLearn (Arithmetic Computation)
~ pi_is_3.14
Video Solution 6
~savannahsolver
Video Solution 7
~IceMatrix
Video Solution 8 (Problems 1-3)
~MathWithPi
Video Solution 9
~TheLearningRoyal
See Also
2021 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
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All AMC 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.