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2023 Math Kangaroo

Problem 8

Problem 8 · 2023 Math Kangaroo Medium
Spatial & Visual Reasoning spatial-reasoning

Daniel sticks these two pieces of paper onto a black circle. The two pieces of paper are not allowed to overlap. Which picture does he get? (Choose from pictures A–E.)

Figure for Math Kangaroo 2023 Problem 8
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Answer: E
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Hint 1 of 2
A half-circle covers half the black disc; a quarter-circle covers a quarter.
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Hint 2 of 2
Together they leave one quarter of the black circle still showing.
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Approach: cover a half and a quarter, leaving one black quarter
  1. The grey half-piece hides one half of the black circle.
  2. The white quarter-piece hides another quarter, and the pieces may not overlap.
  3. That leaves exactly one quarter black, matching picture E.
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