1987 AMC 8 Problem 19
Attempt Problem 19 of the 1987 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 1987 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
19.
A calculator has a squaring key that replaces the number currently displayed with its square. For example, if the display reads and is pressed, the display becomes If the display reads how many times must be pressed to produce a displayed number greater than
Answer: A
Small hint:
Starting from each press squares the number:
Big hint:
Find the first term in that list that exceeds
Solution:
Pressing the key repeatedly gives
Since the display first exceeds on the fourth press.
Thus, the correct answer is A .
Problem 19 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
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