Hard Brain Teaser: What Is the Smaller Angle at 3:15?
Welcome to BrainPop Quiz! Are you ready to challenge your logical thinking with a tricky clock puzzle? Look carefully at the time shown on the clock. Think about how both clock hands move, choose your answer, and see whether you can solve this brain teaser!
Today's Clock Brain Teaser
Can You Solve This Clock Puzzle?
A clock shows 3:15. What is the smaller angle between the hands?
Think carefully before revealing the answer!
Correct Answer: B. 7.5°
The smaller angle between the hour hand and minute hand at exactly 3:15 is 7.5 degrees.
Step-by-Step Explanation
Step 1: Find the minute hand position.
At 3:15, the minute hand points at 3. Each minute represents 6 degrees. Therefore:
15 × 6° = 90°
Step 2: Find the hour hand position.
Each hour represents 30 degrees. At 3:00, the hour hand is at:
3 × 30° = 90°
But the hour hand moves continuously. In 15 minutes, it moves:
15 × 0.5° = 7.5°
Therefore, its position at 3:15 is:
90° + 7.5° = 97.5°
Step 3: Calculate the smaller angle.
Subtract the minute hand position from the hour hand position:
97.5° − 90° = 7.5°
Final Answer: 7.5°
The hour hand moves between hour marks even when the minute hand reaches a number. That movement creates the small difference between the two hands.
How Did You Do?
Did you find the correct angle before revealing the answer? Share your answer and reasoning in the Blogger comments below!
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