Difference between revisions of "2024 AMC 8 Problems/Problem 4"
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==Problem== | ==Problem== | ||
When Yunji added all the integers from <math>1</math> to <math>9</math>, she mistakenly left out a number. Her incorrect sum turned out to be a square number. What number did Yunji leave out? | When Yunji added all the integers from <math>1</math> to <math>9</math>, she mistakenly left out a number. Her incorrect sum turned out to be a square number. What number did Yunji leave out? | ||
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==Solution 3== | ==Solution 3== | ||
Revision as of 10:41, 13 February 2024
Contents
- 1 Problem
- 2 Solution 3
- 3 Solution 4
- 4 Video Solution 1 (Simple and Fast) by Parshwa
- 5 Video Solution 2 (easy to digest) by Power Solve
- 6 Video Solution by Math-X (First fully understand the problem!!!)
- 7 Video Solution by NiuniuMaths (Easy to understand!)
- 8 Video Solution 2 by SpreadTheMathLove
- 9 Video Solution by CosineMethod [🔥Fast and Easy🔥]
- 10 Video Solution by Intersigation
- 11 See Also
Problem
When Yunji added all the integers from 
to 
, she mistakenly left out a number. Her incorrect sum turned out to be a square number. What number did Yunji leave out?
Solution 3
🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿🗿
-iamcalifornia'sresidentidiot
Therefore the pythagorean theorem is 9+10=21
Solution 4
The sum of digits 1-9 is 45, 45-9=36 36=6^2 Therefore, the solution is that the integer she forgot was 9.
Video Solution 1 (Simple and Fast) by Parshwa
Video Solution 2 (easy to digest) by Power Solve
https://youtu.be/HE7JjZQ6xCk?si=sTC7YNSmfEOMe4Sn&t=179
Video Solution by Math-X (First fully understand the problem!!!)
https://youtu.be/BaE00H2SHQM?si=9ZUxEGmGam7il9xr&t=907
~Math-X
Video Solution by NiuniuMaths (Easy to understand!)
https://www.youtube.com/watch?v=Ylw-kJkSpq8
~NiuniuMaths
Video Solution 2 by SpreadTheMathLove
https://www.youtube.com/watch?v=L83DxusGkSY
Video Solution by CosineMethod [🔥Fast and Easy🔥]
https://www.youtube.com/watch?v=9v5q5DxeriM
Video Solution by Intersigation
https://youtu.be/ktzijuZtDas&t=232
See Also
| 2024 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 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 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
