2025 AMC 8 Problem 2

Attempt Problem 2 of the 2025 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2025 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

2.

The table below shows the ancient Egyptian hieroglyphs that were used to represent different numbers.
For example, the number 3232 was represented by:
What number was represented by the following combination of hieroglyphs?
1,4231{,}423
10,42310{,}423
14,02314{,}023
14,20314{,}203
14,23014{,}230
Answer: B
Concepts:place value
Small hint:
Use place values separately
Big hint:
Count each kind of glyph, then multiply by its value and add
Video solution:
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Written solution:
We just need to count how many of each type of glyph there are.
There is 11 glyph worth 10,000.10{,}000.
There are 44 glyphs worth 100100 each.
There are 22 glyphs worth 1010 each.
There are 33 glyphs worth 11 each.
So, the answer is 10,423,10{,}423, which is choice B.
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