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2016 Math Kangaroo

Problem 15

Problem 15 · 2016 Math Kangaroo Medium
Spatial & Visual Reasoning reflectionclock-calendar

Bart sits at the hairdresser's. In the mirror he sees a clock as shown in the diagram. What was the mirror image of the clock 10 minutes earlier?

Figure for Math Kangaroo 2016 Problem 15
Show answer
Answer: E — Clock E.
Show hints
Hint 1 of 3
The picture is already a mirror image, so first flip it left-right to read the real time.
Still stuck? Show hint 2 →
Hint 2 of 3
Move the hands back 10 minutes on that real clock.
Still stuck? Show hint 3 →
Hint 3 of 3
Finally mirror that earlier clock again, because the question asks for the mirror image.
Show solution
Approach: undo the mirror, rewind 10 minutes, mirror again
  1. Flip the mirrored picture left-right to get the true time on the wall.
  2. Turn the hands back 10 minutes to find the real clock from 10 minutes earlier.
  3. Now mirror that earlier clock left-right, since Bart only ever sees the mirror image; this matches picture E, choice (E).
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