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 0cut If we cut it once with a straight line – we now have 2 pieces 1cut If we cut it again, 2 cuts – we have 4 pieces 2cut Cut 3 gives us 7 pieces 3cut Let’s have a look at these paying special attention to the number of pieces added by each cut. 3cuts 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. 6cuts Cut 4 gives 11 pieces. 4cut Cut 5 gives us 16 pieces 5cut Cut 6 can make up to 22 pieces 6cut 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!