One of the biggest changes that are coming to the various maths exams is that there will be a lot more contextual questions on the papers than in the past. Contextual is just a fancy way of saying, plenty of sentences, but that still doesn’t help us to solve the question does it?
Oh no. Not algebra. I can already see you click the back button but hold it there. Stay with me. Take your hand off the mouse, sit back and get ready. You’re about to find out that algebra isn’t that hard, in fact you already know how to do it. You just don’t realise it. Stick with me, we’ll get there.
Numbers are symbols we use to count things. Numbers have been in use since the antiquity. We can’t live a normal life without numbers. We can’t even order a pizza, say our age or count the money without knowing the numbers. In absence of numbers, we’d be in the mental state of a 2-3 year toddler who has not yet learnt to count. In short, our life would be much difficult (to not say impossible) without numbers.
Please download and print the PDF worksheet if you prefer to study using pen and paper. The worksheets have the same questions as the web-page version. The worksheets are simple “by design” to make them printer-friendly. We have tried to use colour and images to a minimum. Some questions require images; however, you can still print using black and white.
There has been an absolute boatload of changes to the mathematics curriculum over the last few years. Ignore what your parents tell you, exams are not getting easier. In fact, they’re getting significantly harder. While some of the increase in difficulty does involve more difficult questions being moved down to the foundation paper and even some A-Level topics being introduced earlier, a lot of it is from “contextual questions” being used a lot more.
Pythagoras is one of those maths things that sounds a lot more complicated than it actually is. As this is an intro to it, we’ll take a little look at where it all came from first. The Pythagorean theorem was developed by Pythagoras, a mathematician from Ancient Greece, or at least it’s credited to him no-one really knows if it was him for definite, but let’s be honest, it doesn’t matter who developed and proved it, all that matters is that we need to do it on our GCSE papers.