You may also like

problem icon

Homes

There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

problem icon

Stairs

This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

problem icon

Let's Investigate Triangles

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Jumping Cricket

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Harry sent us his thoughts on this problem:

My first way was that El Crico jumps along one tile, down three tiles and along one tile.

Then I thought that there are six different ways El Crico starts off his journey. He jumps along one, two or three tiles or he jumps down one, two or three tiles. Then he has two moves to get to the end. One of these jumps takes him to the very right of the board and the other takes him to the very bottom.

I made a table of all the possible moves. There are twelve of them.

First Move Second Move Third Move
Along one Along two Down three
Along one Down three Along two
Along two Along one Down three
Along two Down three Along one
Along three Down one Down two
Along three Down two Down one
Down one Down two Along three
Down one Along three Down two
Down two Down one Along three
Down two Along three Down one
Down three Along one Along two
Down three Along two Along one

That's great, Harry. Thank you!