3 cuts to cut the round cake into 8 equal pieces

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1Give yourself 5 minutes
2Answer out loud, not in your head
3Then compare with the answer below
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  1. 01Clarify that straight planar cuts through the cake are allowed.
  2. 02Make each cut pass through the center.
  3. 03Place the cuts at equal angular intervals.
  4. 04Verify the eight resulting sectors have equal area.

Reference answer

Then expect these follow-ups

  • How many center-passing cuts produce 2n equal sectors?

    Tests: generalization

  • What changes if cuts must not cross?

    Tests: constraint reasoning

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