### Geoboards

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

### Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

If you had 36 cubes, what different cuboids could you make?

# Bunny Hop

##### Stage: 2 Challenge Level:

Here are some of the best explained solutions.

Solution 1

Jason (Dunstable) said:

Reason: As there are three rabbits on each side this makes the total three times one rabbit getting past!!!

It takes 3 jumps for 1 rabbit so multiply it by 3 and you get your answer of 9.

Solution 2

Susannah (Headington Junior School) left one grey rabbit behind, but explained things so well:

First one white rabbit jumps over all three grey rabbits =

3 jumps

Then the first grey rabbit jumps over the remaining white rabbits =

2 jumps

Then the second white rabbit (first now) jumps over the remaining grey rabbits =

2 jumps

Lastly, the last grey rabbit jumps over the last white rabbit =

1 jump

Therefore, 8 jumps!

For a new challenge, how many different ways can these 9 jumps take place?