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Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?

Doughnut

Stage: 2 Challenge Level: Challenge Level:1

Oliver (Christchurch Cathedral School, UK) has shown his solution clearly in a diagram.

Plan view Side View

Josh (Ampthill, UK) has used words to give the same solution:

Cut in quarters vertically at the top at right angles and then cut horizontally.

Sam (Nanyang Primary School, Singapore) came up with a different approach:

I think that the solution is:

  1. You cut the doughnut into halves.
  2. Then you cut it into quarters.
  3. Put all the 4 pieces into a stack and cut into halves.
  4. You will get 8 equal pieces using 3 cuts of a knife.