2025 AMC 8 Problems/Problem 2: Difference between revisions

Latest revision as of 10:42, 7 September 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 $10,000 + 400 + 20 + 3 = \boxed{\textbf{(B)}\ 10,423}$

Solution 2

Simply notice that the first hieroglyph represents $10,000$ , and the next ones represent $4$ hundreds. The 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 1 (Detailed Explanation) 🚀⚡📊

https://www.youtube.com/watch?v=j20JsyEXKcs

~ ChillThingz :)

Video Solution! Super Easy to understand and very knowledgeable

https://youtu.be/U_jbKGRR2Ww

Video Solution by Pi Academy

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

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

Video Solution(Quick, fast, easy!)

https://youtu.be/fdG7EDW_7xk

~MC

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

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: File missing

Page

Toolbox

Search