Here's a link to the questions: QT - Harder ratio problems and here's the answer paper: QT - Harder ratio problems ANSWERS  These videos deal with ratio GCSE maths higher tier questions aimed at around grade 5, although they can be a little challenging. There's quite a lot of words, and it's good to try to ‘sketch’ out the question to help with … [Read more...]

 This video deals with Pythagoras line segment problems, and is aimed at around grade 5 GCSE maths. You'll need to find a way to create a right angled triangle on the grid and, as always, please do stop the video, try the questions, and compare your solution. This video deals with slightly different Pythagoras type questions, in the form of calculating a pythagoras line … [Read more...]

 These videos deal with density mass volume problems, and are aimed at around grade 5 GCSE maths. You'll need to apply the formula: density = mass/ volume with most of the questions and, as before, please do stop the video, try the questions, and compare your solution. 1. The diagram shows a solid cuboid made of wood. The wood has a density of 0.56 grams per cm … [Read more...]

This video is all about tangent proof - where a line touches a circle, and is aimed at GCSE maths grade 8. The whole idea is that it can be treated in a similar way to solving quadratic simultaneous equations, by substitution, but in this case there is only a single point. Prove algebraically that the straight line with the equation x - 2y = 10 is a tangent to the circle … [Read more...]

Reverse percentage are very popular GCSE maths problems, aimed at around grade 5. They are usually either percentage decrease - working out the normal price, if you know the sale price of an item - or percentage increase, such as property prices. Here's the questions, which are fairly representative of the types of reverse percentage questions usually asked: 1. In a sale, … [Read more...]