With one straight cut you can slice a pie into two pieces. A second cut that crosses the first one will produce four pieces. A third cut can produce as many as seven pieces.
What is the largest number of pieces that you can get with six straight cuts?
Scroll down for the answer!
Let’s start with a pie that has 0 cuts – this has 1 piece If we cut it once with a straight line – we now have 2 pieces If we cut it again, 2 cuts – we have 4 pieces Cut 3 gives us 7 pieces Let’s have a look at these paying special attention to the number of pieces added by each cut. Cut 1 adds 1 piece to the total Cut 2 adds 2 pieces to the total. If we extend this on… cut 3 should add 3 pieces to the total cut 4 should add 4 pieces to the total cut 5 should add 5 pieces to the total and cut 6 should add 6 pieces to the total. Cut 4 gives 11 pieces. Cut 5 gives us 16 pieces Cut 6 can make up to 22 pieces So 6 cuts can make 22 pieces of pie! I’m not too sure I’d be too happy if someone offered me some of those pieces though!