Can you explain what's happening with these numbers?
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Can you see how to build a harmonic triangle? Can you work out the next two rows?
If a sum invested gains 10% each year how long before it has doubled its value?
Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
Take a few whole numbers away from a triangle number. If you know the mean of the remaining numbers can you find the triangle number and which numbers were removed?
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
