These questions are fairly challenging and aimed at around grade 8 GCSE maths. They deal with solving quadratic simultaneous equations by substitution, and you'll need good 'algebra confidence.' Please do stop the video, try the questions and compare your solution. Video one - solve: x - 2x = 3 x² + y² = 18 Video two - solve: x - 2y = 1 x² + y² = … [Read more...]

## Solving simultaneous equations by substitution

This video is a fairly popular example of solving simultaneous equations, by substitution, in circles and straight lines. The question asks you to calculate the intersects (where the perimeter and straight line cross each other): The question is aimed at around grade 7+ GCSE maths: Find the coordinates of the points where line y + 5 = 3x intersects the circle x² + y² … [Read more...]

## nth term of a quadratic sequence – GCSE maths level 8 onwards

nth term of a quadratic sequence questions ... can seem extremely difficult, although in this video, I've tried to give you a fairly straightforward method to use. If you apply the same idea each time, you should be able to calculate an expression for the nth term with most of the questions in GCSE maths. The whole idea is that you are creating an expression with the … [Read more...]

## Completing the square – every GCSE question

Completing the square questions are becoming more popular with GCSE maths, as the technique can be useful if you're intending to study at a higher level. The main use is factorising and finding out the maximum and minimum values of a quadratic equation. Once you're familiar with the method, completing the square becomes quite straightforward. This video is a reminder of … [Read more...]

## How to solve a simultaneous quadratic and linear equation

Here's a few videos on how to solve a simultaneous quadratic and linear equation, that I hope might be useful. They are becoming a little more popular on GCSE mathematics as you need to demonstrate a clear, logical method. Occasionally you are given an instruction, such as 'by eliminating 'y',' and I've added a few examples on this post. The main things to remember when you … [Read more...]