Square Routes

 

The matches have been placed in the grid to make a continuous route. The direction you move is shown by the head of the match and the number of squares to be moved by the number of matches. After 9 moves you will be back where you started.

 

 

 

 

 

 

 

 

 

 

 

Puzzle 1

Now in this grid one match needs to be moved to make a Square Route. Can you find it?

 

 

 

Puzzle 2

Make a Square Route  by placing matches on this grid. Use as few matches as possible.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Puzzle 2

Now make a route using the largest possible number of matches.

 

 

Square Route 2

 

Now try and make a square route that visits all the squares in this 4 by 4 grid.

 

Puzzle 3

Can you find the minimum number of matches that make a complete route?

 

Puzzle 4

Can you find the maximum number of matches that can be placed on the grid to make a route?

 

 

Solutions

 

Investigation