Solution

158997

First name
Chloe
School
Woodlea Junior School
Country
Age
10

To solve this problem I made all the dots connect with lines creating the maximum amount on triangles possible in each different circular peg board.
On the 4 peg board I made 4 right angle triangles.
On the 6 peg board I made 18 triangles but I couldn’t find out which triangles were there.
On the 8 peg board I made about 56 triangles, I may have counted wrong, but I can promise there were lots of triangles.