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

Age 7 to 11Challenge 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?