2025 AMC 8

Complete problem set with solutions and individual problem pages

Problem 2 Easy

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?

  • A.

    1,423

  • B.

    10,423

  • C.

    14,023

  • D.

    14,203

  • E.

    14,230

Answer:B

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}

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