Tetrarchs

 

Puzzle 1

 

Take 10 pebbles and place them

in the triangles so that

the total in touching triangles

equals the number in the circle.

 

 

For example in this part of the diagram you

could have 1 pebble in A and 4 in B or

2 in A and 3 in B, etc.

 

Now try these each with 10 pebbles;

 

 

Puzzle 2                                           Puzzle 3

 

 

 

 

 

 

 

 

 

Puzzle 4                                           Puzzle 5

 

 

 

 

 

 

 

 

 

 

 

 

Here are some more Tetrarch Puzzles

 

Puzzle 6                                           Puzzle 7

 

12 pebbles                                        12 pebbles

 

 

 

 

 

 

 

 

 

 

 

Puzzle 8                                           Puzzle 9

 

13 pebbles                                        15 pebbles

 

 

 

 

 

 

 

 

 

 

 

Puzzle 10                                         Puzzle 11

 

18 pebbles                                        20 pebbles

 

 

 

 

 

 

 

 

 

 

Text Box: Try making up some puzzles like this of your own. The easiest way is to place the stones first, record the answer and fill in the numbers in the circle. Then remove the stones and ask a friend to solve it.

 

 

 

 

Click here for answers

 

Tetrarch Investigation;

Can you find a method of solving these

puzzles no matter how big the numbers?

 

 

 

    100 pebbles

 

 

Click here for notes on Investigation