Creating & Manipulating Linear & Quadratic Expressions

Pick a square within a multiplication square and add the numbers on each diagonal. What do you notice?

Can you match up these equivalent algebraic expressions?

What is special about the difference between squares of numbers adjacent to multiples of three?

If you know the perimeter of a right angled triangle, what can you say about the area?

Can you explain what is going on in these puzzling number tricks?

There are unexpected discoveries to be made about square numbers...

A 2-digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?

Can you see how to build a harmonic triangle? Can you work out the next two rows?

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.