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

(Solution 1)
m
 
(5 intermediate revisions by 3 users not shown)
Line 17: Line 17:
 
== Solution 2 ==
 
== Solution 2 ==
  
Simply notice that the first hieroglyph represents <math>10,000</math>, and the next ones represent <math>4</math> hundreds. They only answer choice with a <math>10,000</math> followed by a <math>4</math> in the hundreds is answer choice <math>\fbox{\textbf{(B)}\ 10,423}</math>
+
Simply notice that the first hieroglyph represents <math>10,000</math>, and the next ones represent <math>4</math> hundreds. They only answer choice with a <math>1</math> in the thousands place and a <math>4</math> in the hundreds place is answer choice <math>\boxed{\textbf{(B)}\ 10,423}</math>
 +
 
 +
~Avy11
 +
 
 +
== Solution 3 (fast version of Solution 2) ==
 +
 
 +
From a first inspection, you may notice that there is no thousands hieroglyph. The only option with zero in the thousands place is <math>\boxed{\textbf{(B)}\ 10,423}</math>
 +
 
 +
~thatmathsguy
  
 
== Video Solution by Pi Academy ==
 
== Video Solution by Pi Academy ==
 +
 
https://youtu.be/Iv_a3Rz725w?si=E0SI_h1XT8msWgkK
 
https://youtu.be/Iv_a3Rz725w?si=E0SI_h1XT8msWgkK
 
  
 
== Video Solution 1 ==
 
== Video Solution 1 ==
  
https://youtu.be/j20JsyEXKcs
+
[//youtu.be/j20JsyEXKcs ~ ChillGuyDoesMath]
 
 
~ ChillGuyDoesMath
 
  
 
== Video Solution 2 by SpreadTheMathLove ==
 
== Video Solution 2 by SpreadTheMathLove ==
Line 35: Line 41:
 
== Video Solution 3 ==
 
== Video Solution 3 ==
  
https://youtu.be/VP7g-s8akMY?si=eptV4vO-YstwSQy1&t=105
+
[//youtu.be/VP7g-s8akMY?si=eptV4vO-YstwSQy1&t=105 ~hsnacademy]
~hsnacademy
 
  
 
== Video Solution 4 by Daily Dose of Math ==
 
== Video Solution 4 by Daily Dose of Math ==
  
https://youtu.be/rjd0gigUsd0
+
[//youtu.be/rjd0gigUsd0 ~Thesmartgreekmathdude]
 
 
~Thesmartgreekmathdude
 
  
 
== Video Solution 5 by Thinking Feet ==
 
== Video Solution 5 by Thinking Feet ==
Line 48: Line 51:
 
https://youtu.be/PKMpTS6b988
 
https://youtu.be/PKMpTS6b988
  
==Video Solution 6 by CoolMathProblems ==
+
== Video Solution 6 by CoolMathProblems ==
  
 
https://youtu.be/biB8GlB54oI
 
https://youtu.be/biB8GlB54oI

Latest revision as of 08:53, 16 February 2025

Problem

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

Mathh.PNG

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

Amc8 2025 prob 2 pic.PNG

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

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 $10,000 + 400 + 20 + 3 = \boxed{\textbf{(B)}\ 10,423}$

Solution 2

Simply notice that the first hieroglyph represents $10,000$, and the next ones represent $4$ hundreds. They only answer choice with a $1$ in the thousands place and a $4$ in the hundreds place is answer choice $\boxed{\textbf{(B)}\ 10,423}$

~Avy11

Solution 3 (fast version of Solution 2)

From a first inspection, you may notice that there is no thousands hieroglyph. The only option with zero in the thousands place is $\boxed{\textbf{(B)}\ 10,423}$

~thatmathsguy

Video Solution by Pi Academy

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

Video Solution 1

~ ChillGuyDoesMath

Video Solution 2 by SpreadTheMathLove

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

Video Solution 3

~hsnacademy

Video Solution 4 by Daily Dose of Math

~Thesmartgreekmathdude

Video Solution 5 by Thinking Feet

https://youtu.be/PKMpTS6b988

Video Solution 6 by CoolMathProblems

https://youtu.be/biB8GlB54oI

See Also

2025 AMC 8 (ProblemsAnswer KeyResources)
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. AMC logo.png