2000 AMC 8 Problem 14
Attempt Problem 14 of the 2000 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2000 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
What is the units digit of
Answer: D
Small hint:
Only the units digit matters
Big hint:
Odd powers of a number ending in end in
Solution:
Note that the units digit of a power depends only upon the units digit of the base.
Experimenting, we get that to an even power ends with a and to an odd power ends with a
Therefore, ends with a and also ends with a Adding them together yields a number that ends in
Thus, D is the correct answer.
Problem 14 in other years
- 1985 AMC 8
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