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Calendars and Clocks · Question 37 of 65

Question 37

EasyOriginal question

At half past two, what is the smaller angle formed between the hands of a clock?

Options for question 37

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Half past two is 2:30.

  2. Angle =∣30×2−5.5×30∣=∣60−165∣=105∘= |30 \times 2 - 5.5 \times 30| = |60 - 165| = 105^\circ.

Worth noting

120° keeps the hour hand on 2 (4 gaps of 30°); at 2:30 it is halfway to 3. 165° is 5.5×305.5 \times 30 alone, forgetting the 30h30h term.

Concept
Angle between the hands at a half hour
Typical time
40 s
Your time
—
The rule this testsAngles between the hands
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