1988 AMC 8 Problem 1

Attempt Problem 1 of the 1988 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 1988 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

The diagram shows part of a scale of a measuring device. The arrow indicates an approximate reading of
10.0510.05
10.1510.15
10.2510.25
10.310.3
10.610.6
Answer: D
Concepts:estimation
Small hint:
The marks between 1010 and 1111 divide that unit into four equal parts, so each small division is 0.250.25
Big hint:
The arrow sits just past the first mark after 10,10, so the reading is a little more than 10.2510.25
Solution:
The scale is divided into fourths between 1010 and 11,11, so the interior tick marks fall at 10.25,10.25, 10.5,10.5, and 10.75.10.75.
The arrow points just past the 10.2510.25 mark, so the reading is between 10.2510.25 and 10.5.10.5. Of the choices, only 10.310.3 lies in that range.
Thus, the correct answer is D .
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