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Hand Angle Duel

What angle do the clock hands make?

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Level1

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Features

📐The classic clock-angle aptitude question, timed. A clock face is shown and you pick the angle its hands make — the minute hand moves 6° per minute, the hour hand 0.5°.

🔄From level 3 the puzzle flips: given an angle like 90°, name the time between two hours when the hands form it. The clock goes blind, so you reason it out.

🔥A burning fuse limits every answer and shrinks as you level up. The faster you answer, the more each correct pick is worth — with streak multipliers on top.

🧠A genuinely useful trainer for the clock-angle problems that appear in aptitude and reasoning tests, wrapped in an endless, score-chasing arcade loop.

Frequently Asked Questions

How do you find the angle between clock hands?

Use the formula |30·H − 5.5·M| degrees, where H is the hour and M the minutes, then take the smaller of that and 360 minus it. The 30 comes from 360°/12 hours; the 5.5 is because the minute hand gains 5.5° on the hour hand each minute (6° − 0.5°).

What is the angle at 3:00 or 4:50?

At 3:00 the hands are exactly 90° apart. At 4:50, |30·4 − 5.5·50| = |120 − 275| = 155°, already under 180°, so the answer is 155°. The trick most people miss is that the hour hand drifts as the minutes pass — at 4:50 it is most of the way to 5.

What are the reverse questions?

Instead of an angle from a time, you are given an angle (say 60°) and asked when, between two whole hours, the hands form it. Because the minute hand moves in fractions, the answer is often an exact fraction of a minute — shown in elevenths, like 3:16 4/11.

Why practise clock-angle problems?

Clock-angle questions are a staple of aptitude, reasoning, and competitive exams, and they sharpen your feel for how the two hands move relative to each other. The timed, level-based format here turns rote practice into a quick game you can replay to build speed.