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Archive/ Maths

Clockwork

Maths / Difficulty Tier 1, Element. Focused around one main idea or observation.
About Tier 1 - Element

Focused around one main idea or observation.

Difficulty describes the challenge, not the solver. It is a Society guide rather than a formal academic level.

The tier is a Society guide to the amount of reasoning, technical work and insight a problem is expected to require. Your experience may vary depending on the topic and your background.

Clockwork

Geometry / Angles and Clocks - 3-4 min

An analogue clock reads exactly 2:20. Its hour and minute hands move continuously. What is the smaller angle between the hands?

Assumptions

Use an ideal twelve-hour analogue clock with evenly spaced markings and hands that move continuously at constant rates. Ignore the width of the hands.

Enter your answer in degrees as a number, without a unit.

Exact value required.

More Options for Clockwork

Collection question · Revision 1 · ID: clock-angle