πŸ‡ΊπŸ‡Έ AMC 8 ⇄ switch contest
1988 AJHSME

Problem 1

Problem 1 · 1988 AJHSME Easy
Fractions, Decimals & Percents scale-reading
Figure for AJHSME 1988 Problem 1
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Answer: C — 10.25.
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Hint 1 of 2
The arrow falls between the 10 and 11 marks β€” so the reading is 10-point-something. Where in the gap does the tip land?
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Hint 2 of 2
Reading a scale means judging what fraction of one gap you're into. The tip looks about a quarter of the way from 10 to 11.
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Approach: read the fraction of one gap
  1. The arrow tip sits between 10 and 11, about one-fourth of the way along that gap. The whole answer is 10 plus that fraction.
  2. One gap = 1 unit, so a quarter of it = 0.25, giving 10 + 0.25 = 10.25.
  3. Why this transfers: every analog scale β€” rulers, thermometers, dials β€” is read the same way. Lock onto the two marks the pointer is between, then estimate the fraction of that single gap; never guess against the whole scale at once.
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