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...]

This video is all about finding the area of a trapezium, and using the equation to calculate the value of x. The question is aimed at around grade 7+ GCSE maths, and is generally non calculator: "ABCD is a trapezium with AD = x+8, BC = x+5 and AB = x. The area of the trapezium is 42cm². Show that x is a square number" The easiest way is to use the formula area = … [Read more...]

 This video is all about working with surds, and we’re asked to - calculate the area - calculate the length AC of a right angle triangle ABC. The height is √5 - 2, the base is √5 + 2. The question is aimed at around grade 7+ GCSE maths, and are usually non-calculator. These types of working with surds questions appear in all the main examination boards, … [Read more...]

 This video is all about how to calculate the value of x in algebraic fractions. Solve: 5/(x+1) - 3/2(x+1) = 1/2 The question is aimed at around grade 7+ GCSE maths. Top Tips! Always work down the page, with the equals sign in the middle Show each stage of your calculation Learn to read right to left ... sometimes it's easier to keep the value of x on … [Read more...]

  This video is all about a proof of tangent question, and is aimed at GCSE maths grade 7+. "Prove that x - 2y =10, is a tangent to the circle x² + y² = 20." Proof of tangent questions are usually non calculator and generally 4 - 5 marks. Top Tips! It’s useful to draw the question first to try to understand what they are asking :-) Proof of tangent … [Read more...]