Challenge Level

Choose four of the numbers from this list: 1, 2, 3, 4, 5, 6, 7, 8, 9 to put in the four squares below so that the difference between joined squares is odd.

Only one number is allowed in each square. You must use four different numbers.

What can you say about the sum of each pair of joined squares?

What must you do to make the difference even?

What do you notice about the sum of the pairs now?

Here .doc .pdf are some sheets for recording your solutions.