1992 AMC 8 Problem 1
Attempt Problem 1 of the 1992 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 1992 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
1.
What is the value of the following expression?
Answer: B
Small hint:
Group the numerator into pairs , and do the same for the denominator
Big hint:
Each numerator pair equals ; in the denominator group , where each pair is , with a left over
Solution:
Grouping the numerator in pairs gives
Grouping the denominator as gives four pairs of plus , which is
So the expression is
Thus, the correct answer is B .
Problem 1 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1993 AMC 8
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