Difference between revisions of "2025 AMC 8 Problems/Problem 2"

Revision as of 18:32, 3 February 2025

Problem

The table below shows the ancient Egyptian hieroglyphs that were used to represent different numbers.

For example, the number $32$ was represented by the hieroglyphs $\cap \cap \cap ||$ . What number is represented by the following combination of hieroglyphs?

$\textbf{(A)}\ 1,423 \qquad \textbf{(B)}\ 10,423 \qquad \textbf{(C)}\ 14,023 \qquad \textbf{(D)}\ 14,203 \qquad \textbf{(E)}\ 14,230$

Solution 1

The first hieroglyph is worth $10,000$ , the next 4 are worth $100 \cdot 4 = 400$ , the next $2$ are worth $10 \cdot 2 = 20$ , and the last $3$ are worth $1 \cdot 3 = 3$ . Therefore, the answer is $10,000 + 400 + 20 + 3 = \boxed{\textbf{(B)}\ 10,423}$

Video Solution by Pi Academy

https://youtu.be/Iv_a3Rz725w?si=E0SI_h1XT8msWgkK

Video Solution 1

https://youtu.be/j20JsyEXKcs

~ ChillGuyDoesMath

Video Solution 2 by SpreadTheMathLove

https://www.youtube.com/watch?v=jTTcscvcQmI

Video Solution 3

https://youtu.be/VP7g-s8akMY?si=eptV4vO-YstwSQy1&t=105 ~hsnacademy

Video Solution 4 by Daily Dose of Math

https://youtu.be/rjd0gigUsd0

~Thesmartgreekmathdude

Video Solution 5 by Thinking Feet

https://youtu.be/PKMpTS6b988

Video Solution 6 by CoolMathProblems

https://youtu.be/biB8GlB54oI

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.

@@ Line 19: / Line 19: @@
-== Video Solution 1 (Detailed Explanation)🚀⚡📊 ==
+== Video Solution 1 ==
-Youtube Link ⬇️
 https://youtu.be/j20JsyEXKcs
@@ Line 31: / Line 29: @@
 https://www.youtube.com/watch?v=jTTcscvcQmI
-== Video Solution 3 (A Clever Explanation You’ll Get Instantly) ==
+== Video Solution 3 ==
 https://youtu.be/VP7g-s8akMY?si=eptV4vO-YstwSQy1&t=105
@@ Line 43: / Line 41: @@
 == Video Solution 5 by Thinking Feet ==
 https://youtu.be/PKMpTS6b988
-==Video Solution by CoolMathProblems ==
+==Video Solution 6 by CoolMathProblems ==
 https://youtu.be/biB8GlB54oI

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