
Always perfect
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
Surprising numerical patterns can be explained using algebra and diagrams...
If you know the perimeter of a right angled triangle, what can you say about the area?
What is special about the difference between squares of numbers adjacent to multiples of three?
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
Can you find the hidden factors which multiply together to produce each quadratic expression?