Difference between revisions of "2024 AMC 8 Problems/Problem 4"
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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? | ||
− | <math> | + | <math>\textbf{(A) } 5\qquad\textbf{(B) } 6\qquad\textbf{(C) } 7\qquad\textbf{(D) } 8\qquad\textbf{(E) } 9</math> |
− | + | ==Solution== | |
− | + | The sum of the integers from <math>1</math> to <math>9</math> is <math>45</math>. Since the nearest square number less than <math>45</math> is <math>36</math>, the answer is <math>45 - 36 = \boxed{9}.</math> | |
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− | ./ | ||
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− | == | + | ==Video Solution (A Clever Explanation You’ll Get Instantly)== |
− | + | https://youtu.be/5ZIFnqymdDQ?si=bxVKQiul4AjzVUgC&t=331 | |
− | + | ~hsnacademy | |
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==Video Solution 1 (Simple and Fast) by Parshwa== | ==Video Solution 1 (Simple and Fast) by Parshwa== | ||
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== Video Solution by CosineMethod [🔥Fast and Easy🔥]== | == Video Solution by CosineMethod [🔥Fast and Easy🔥]== | ||
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==Video Solution by Intersigation== | ==Video Solution by Intersigation== | ||
https://youtu.be/ktzijuZtDas&t=232 | https://youtu.be/ktzijuZtDas&t=232 | ||
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+ | ==Video Solution by Daily Dose of Math (Understandable, Logical, and Speedy)== | ||
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+ | https://youtu.be/bSPWqeNO11M?si=HIzlxPjMfvGM5lxR | ||
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+ | ~Thesmartgreekmathdude | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2024|num-b=3|num-a=5}} | {{AMC8 box|year=2024|num-b=3|num-a=5}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Latest revision as of 20:32, 28 August 2024
Contents
- 1 Problem
- 2 Solution
- 3 Video Solution (A Clever Explanation You’ll Get Instantly)
- 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 Video Solution by Daily Dose of Math (Understandable, Logical, and Speedy)
- 12 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
The sum of the integers from to
is
. Since the nearest square number less than
is
, the answer is
Video Solution (A Clever Explanation You’ll Get Instantly)
https://youtu.be/5ZIFnqymdDQ?si=bxVKQiul4AjzVUgC&t=331
~hsnacademy
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🔥]
Video Solution by Intersigation
https://youtu.be/ktzijuZtDas&t=232
Video Solution by Daily Dose of Math (Understandable, Logical, and Speedy)
https://youtu.be/bSPWqeNO11M?si=HIzlxPjMfvGM5lxR
~Thesmartgreekmathdude
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.