Difference between revisions of "2025 AMC 8 Problems/Problem 2"
Avi.agarwal (talk | contribs) (→Solution 1) |
m (Formatting) |
||
| Line 1: | Line 1: | ||
| − | ==Problem== | + | == Problem == |
| + | |||
The table below shows the ancient Egyptian hieroglyphs that were used to represent different numbers. | The table below shows the ancient Egyptian hieroglyphs that were used to represent different numbers. | ||
| − | + | ||
| + | [[File:mathh.PNG]] | ||
For example, the number <math>32</math> was represented by the hieroglyphs <math>\cap \cap \cap ||</math>. What number is represented by the following combination of hieroglyphs? | For example, the number <math>32</math> was represented by the hieroglyphs <math>\cap \cap \cap ||</math>. What number is represented by the following combination of hieroglyphs? | ||
| − | + | [[File:Amc8 2025 prob 2 pic.PNG]] | |
<math>\textbf{(A)}\ 1,423 \qquad \textbf{(B)}\ 10,423 \qquad \textbf{(C)}\ 14,023 \qquad \textbf{(D)}\ 14,203 \qquad \textbf{(E)}\ 14,230</math> | <math>\textbf{(A)}\ 1,423 \qquad \textbf{(B)}\ 10,423 \qquad \textbf{(C)}\ 14,023 \qquad \textbf{(D)}\ 14,203 \qquad \textbf{(E)}\ 14,230</math> | ||
| − | ==Solution 1== | + | == Solution 1 == |
| − | The first hieroglyph is worth <math>10,000</math>, the next 4 are worth <math>100 \cdot 4 = 400</math>, the next <math>2</math> are worth <math>10 \cdot 2 = 20</math>, and the last <math>3</math> are worth <math>1 \cdot 3 = 3</math>. Therefore, the answer is <math>10,000 + 400 + 20 + 3 = | + | The first hieroglyph is worth <math>10,000</math>, the next 4 are worth <math>100 \cdot 4 = 400</math>, the next <math>2</math> are worth <math>10 \cdot 2 = 20</math>, and the last <math>3</math> are worth <math>1 \cdot 3 = 3</math>. Therefore, the answer is <math>10,000 + 400 + 20 + 3 = \textbf{(B)}\ 10,423</math> |
~ Sigmacuber | ~ Sigmacuber | ||
| − | == Video Solution 1 (Detailed Explanation) | + | == Video Solution 1 (Detailed Explanation) == |
| − | |||
https://youtu.be/j20JsyEXKcs | https://youtu.be/j20JsyEXKcs | ||
| − | ~ ChillGuyDoesMath | + | ~ ChillGuyDoesMath |
| + | |||
| + | == Video Solution 2 by SpreadTheMathLove == | ||
| − | |||
https://www.youtube.com/watch?v=jTTcscvcQmI | https://www.youtube.com/watch?v=jTTcscvcQmI | ||
| − | ==Video Solution (A Clever Explanation You’ll Get Instantly)== | + | == Video Solution 3 (A Clever Explanation You’ll Get Instantly) == |
| + | |||
https://youtu.be/VP7g-s8akMY?si=eptV4vO-YstwSQy1&t=105 | https://youtu.be/VP7g-s8akMY?si=eptV4vO-YstwSQy1&t=105 | ||
~hsnacademy | ~hsnacademy | ||
| − | ==Video Solution by Daily Dose of Math== | + | == Video Solution 4 by Daily Dose of Math == |
https://youtu.be/rjd0gigUsd0 | https://youtu.be/rjd0gigUsd0 | ||
| Line 35: | Line 38: | ||
~Thesmartgreekmathdude | ~Thesmartgreekmathdude | ||
| − | ==Video Solution by Thinking Feet== | + | == Video Solution 5 by Thinking Feet == |
https://youtu.be/PKMpTS6b988 | https://youtu.be/PKMpTS6b988 | ||
| − | ==See Also== | + | == See Also == |
| + | |||
{{AMC8 box|year=2025|num-b=1|num-a=3}} | {{AMC8 box|year=2025|num-b=1|num-a=3}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
| + | [[Category:Introductory Number Theory Problems]] | ||
Revision as of 18:54, 1 February 2025
Contents
Problem
The table below shows the ancient Egyptian hieroglyphs that were used to represent different numbers.
For example, the number 
was represented by the hieroglyphs 
. What number is represented by the following combination of hieroglyphs?
Solution 1
The first hieroglyph is worth 
, the next 4 are worth 
, the next 
are worth 
, and the last 
are worth 
. Therefore, the answer is 
~ Sigmacuber
Video Solution 1 (Detailed Explanation)
~ ChillGuyDoesMath
Video Solution 2 by SpreadTheMathLove
https://www.youtube.com/watch?v=jTTcscvcQmI
Video Solution 3 (A Clever Explanation You’ll Get Instantly)
https://youtu.be/VP7g-s8akMY?si=eptV4vO-YstwSQy1&t=105 ~hsnacademy
Video Solution 4 by Daily Dose of Math
~Thesmartgreekmathdude
Video Solution 5 by Thinking Feet
See Also
| 2025 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 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. 
