1989 AMC 8 Problem 10

Attempt Problem 10 of the 1989 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 1989 AMC 8 solutions, or check the answer key.

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

10.

How many degrees are in the smaller angle between the hour hand and the minute hand of a clock that reads seven o’clock?
50∘50^\circ
120∘120^\circ
135∘135^\circ
150∘150^\circ
165∘165^\circ
Answer: D
Concepts:clock
Small hint:
The 1212 hour marks split the clock face into 1212 equal angles
Big hint:
Each hour mark is 30∘;30^\circ; at seven o’clock the hands are 55 marks apart the short way
Solution:
The 1212 numbers divide the clock into 1212 equal sections of 360∘12=30∘\frac{360^\circ}{12} = 30^\circ each.
At seven o’clock the hands point to 1212 and 7,7, which are 55 sections apart the short way, giving 5×30∘=150∘.5 \times 30^\circ = 150^\circ.
Thus, the correct answer is D .
LIVE by Po-Shen Loh
Programs

LIVE Classes

Self-Paced Classes

Stars

Scholarship

About Us

Who Is Po-Shen Loh?

Email Contact

Newsletter

Jobs

Become a Star

For a more Thought Full world.

© 2026 Expii, Inc.