PSAT Math Grid-Ins Question 46: Answer and Explanation

Question: 46

How many degrees does the minute hand of an analog clock rotate from 3:20 p.m. to 3:45 p.m.?

Correct Answer: 150

Explanation:

150

Difficulty: Medium

Category: Additional Topics in Math/Geometry

Getting to the Answer: There are 360 degrees in a circle. You need to figure out how many degrees each minute on the face of a clock represents. There are 60 minutes on the face of an analogue clock. This means that each minute represents 360 ÷ 60 = 6 degrees. Between 3:20 and 3:45, 25 minutes go by, so the minute hand rotates 25 × 6 = 150 degrees.

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