October’s DoodleProblem

October 18, 2015 — 2 Comments

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?

 

 

The solution:

Lets 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

Lets 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

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!

2 responses to October’s DoodleProblem

  1. 

    I have bought the full version and set up 2 children but the premium version is only applying to one child. Do I have to make a purchase per child?

    • 

      Hi Bundini, each child will need their own account and their own subscription. You will need to make another purchase for your second child’s account. Hope this helps! 🙂

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