Crossing a rectangle

How to play

• Using the 5x8 (5 eights) grid standing tall, find the longest pathway you can, travelling along the lines of the grid from the top to the bottom of the grid.

• Then, find the shortest pathway that you can find.

• Your pathway can’t go along the side borders of the grid and you can't go outside of the grid either!

What to do next

• Turn your grid paper so it lays flat, so you can see a 8x5 grid (8 fives).

• Can you make a longer pathway now that you have turned your grid paper?

• Can you make a shorter pathway?

Investigate further

• Create different pathways that have exactly 12 steps.

  • How many pathways can you create that are exactly 12 steps?

• Create different pathways that have exactly 15 steps.

  • How many pathways can you create that are exactly 15 steps?

• Create different pathways that have exactly 30 steps.

  • How many pathways can you create that are exactly 30 steps?