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?
Have you had enough?
Lets 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
Lets 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
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!