2024 AMC 8 Problem 1

Attempt Problem 1 of the 2024 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 2024 AMC 8 solutions, or check the answer key.

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

What is the ones digit of $\begin{align*} & 222,222 - 22,222 - 2,222 \\ &- 222 - 22 - 2? \end{align*}$

$0$

$2$

$4$

$6$

$8$

Answer: B

Concepts:units digit

Difficulty rating: 370

Video solution:

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Written solution:

Only the ones digits matter. Modulo $10,$ the expression is $\begin{gathered} 2-2-2-2-2-2=-8,\\ -8\equiv2\pmod{10}. \end{gathered}$ Therefore its ones digit is $2.$

Thus, B is the correct answer.

Full Exam

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