Problem 4 · 1987 AJHSME
Easy
Fractions, Decimals & Percents
quarter-of-circle
Martians measure angles in clerts. There are 500 clerts in a full circle. How many clerts are there in a right angle?
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Answer: C — 125.
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Hint 1 of 2
The unit (clerts vs. degrees) is a distraction — a right angle is the same fraction of any full turn. What fraction is it?
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Hint 2 of 2
A right angle is a quarter-turn, so it's a quarter of whatever measures a full circle.
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Approach: a right angle is one quarter of a full turn
- Four right angles fit around a point, so a right angle is exactly 1⁄4 of a full circle no matter what units you use.
- 1⁄4 of 500 clerts = 500 ⁄ 4 = 125 clerts.
- Sanity-check the wording: 90 is a trap for kids who forget Martians don't use degrees — the whole point is that 500, not 360, is the full circle here.
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