Friday, 26 June 2015

Jumping frogs

We've been playing the game of Frogs.
The frogs can move into a space either by sliding to the next lilly pad or by jumping over the one frog next to them. You can play the game on the app below:

Full Screen and tablet version

We found the minimum number of moves necessary. We used to make a graph of this. 

We looked at the points for 1, 2 and 3 frogs of each colour, and then estimated where the one for 4 frogs would be.
Samyak spotten a pattern in the numbers:
"You add odd numbers!"
Click on the image below to see the graph on


  1. I managed 1,2,3,4,5,6,7,8,9.9 took 99 moves

  2. Well done - and I can see that's the minimum number of moves!

  3. My mum saw in Wikipedia that the minimum number of moves for 4 was19 not 24.

    1. Ooh, could you post a link to that for me?

  4. 8 frogs takes 80 moves.