SUM PUZZLES

Square and Triangle Puzzles

You will need 6 stones for this puzzle

Puzzle 1

Can you place the 6 stones on the diagram

so that 5 are in the square and 4 are in

the triangle?

Puzzle 2

Put 6 stones so

3 are in the square and

4 are in the triangle.

Puzzle 3

Put 6 stones so

5 are in the square and

5 are in the triangle

Puzzle 4

Put 6 stones so

3 are in the square and

5 are in the triangle

Puzzle 5

Put 6 stones so

1 are in the square and

6 are in the triangle.

Puzzle 6

Put 6 stones so

5 are in the square and

2 are in the triangle

Puzzle 7

Put 6 stones so

6 are in the square and

6 are in the triangle

Click here for answers

Circle and Triangle Puzzles

Now try these puzzles with 10 stones

Puzzle 1

Put 7 in the circle and

7 in the triangle.

Puzzle 2

Put 8 in the circle and

5 in the triangle.

Puzzle 3

Put 6 in the circle and

8 in the triangle.

For answers click here

Now make up some puzzles of your own and test your friends.

Investigation

1) If you had 100 stones could you arrange

them so that there are 67 in the circle and

59 in the triangle?

2) Can you find a general way to solve these

Puzzles no matter how big the numbers are?

Notes on Sum Puzzles and Investigations

Now try Triangle Puzzles