Stick Around

7 matches have been arranged on a triangular grid. The area they enclose is 5 triangle units.

Can you arrange  the 7 matches so that they enclose 7 triangle units.

 

Use this grid

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Puzzle 2

Now take 8 matches. Can you make an area of 8 triangle units?

Of 10 triangle units?                  Of 6 triangle units?

 

Puzzle 3

Now use 9 matches.

Can you build an shape with an area of 7 triangles,

 

Of area 9 triangles                    Of  area 11 triangles?

 

Of area 13 triangles?

 

Puzzle 4

Now take 10 matches. Use them to build shapes on the triangle grid. How many different areas can you create?

( Complex shapes that enclose more than 1 space are not allowed)

 

Solutions

 

Investigation