With only two moves, turn the above five into four. |

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Q: Suppose you want to cut a circular cake with six straight cuts. What is the maximum number of pieces you can create? They can be different sizes but cannot be moved around.

A: 22 pieces.

The figure below is for 5 cuts with 16 pieces.

Each additional cut creates one more additional piece than the previous cut.

Here is the pattern:

#of Cuts #of Pieces # of Added Pieces

1 2 0

2 4 2

3 7 3

4 11 4

5 16 5

6 22 6

Q: Suppose you want to cut a circular cake with five straight cuts. What is the maximum number of pieces you can create? They can be different sizes but cannot be moved around.

A: 16 pieces…see below for a possible solution

Place numbers (1 to 9) in the blank circles. Each number can only be used once.

Each sector’s number is equal to the sum of the three numbers next to its sector. Find the missing numbers.