1987 AMC 8 Problem 4

Attempt Problem 4 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).

4.

Martians measure angles in clerts. There are 500500 clerts in a full circle. How many clerts are there in a right angle?
9090
100100
125125
180180
250250
Answer: C
Concepts:ratio and proportion
Small hint:
A right angle is 14\dfrac14 of a full circle
Big hint:
Take 14\dfrac14 of 500500 clerts
Solution:
A right angle is a quarter of a full circle, so it contains 14×500=125\dfrac14 \times 500 = 125 clerts.
Thus, the correct answer is C .
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