Pie

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!

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!