Triangle Puzzles

You need 6
pebbles
Puzzle 1
Place them in
the circles so that the
total of
pebbles on each side of the
triangle is 3,
4 and 5
Using 6 pebbles
try and solve each of these

Puzzle 2
Puzzle 3

Now take 10 pebbles and try and solve these;
Puzzle 4

Puzzle 5

Puzzle 6

Answers to puzzles. Click here
Investigation
1) How
many puzzles like these could you make if you have 8 stones?
2) Is
there any connection between the total of all the numbers at
the end of the arrows and
the number of stones used?
3) Can
you find a method for solving these puzzles?