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2023 Math Kangaroo

Problem 3

Problem 3 · 2023 Math Kangaroo Easy
Spatial & Visual Reasoning spatial-reasoning

A black disc with two holes is placed on top of the dial of a watch. The black disc is turned. Which two numbers can be seen at the same time?

Figure for Math Kangaroo 2023 Problem 3
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Answer: C — 5 and 9
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Hint 1 of 2
The two holes are on opposite sides of the disc, lined up through the centre.
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Hint 2 of 2
Look for two clock numbers that sit directly across from each other through the middle.
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Approach: the two holes are diametrically opposite, so the visible numbers are across the dial
  1. The two holes in the black disc lie on a line through the centre.
  2. When turned, they reveal two numbers that are opposite each other on the dial.
  3. Matching the hole positions to the dial gives 5 and 9.
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