By CGP Books
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This Kindle variation of CGP's bestselling Revision consultant is the right significant other to Edexcel better point GCSE Maths. each subject from the Edexcel A and B classes is defined in a concise, pleasant type, with a sprinkling of CGP humour to maintain issues attention-grabbing. Grade details is integrated to teach the trouble point of every subject, and there are typical precis questions and exam-style inquiries to try out you on all of the very important talents.
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Additional resources for GCSE Mathematics Edexcel Linear: The Revision Guide, Higher Level
Example text
This shows why: 52 = 5 × 5 = 25 but also (–5)2 = (–5) × (–5) = 25. | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Solve 3x2 = 75. | | | | | | | | | | | | || | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | || | | Square Roots? * Learn the 6-step method, then try these questions. g. getting ‘y = ’ from ‘2x + z = 3(y + 2p)’ — you have to get the subject on its own. Use the Solving Equations Method to Rearrange Formulas Rearranging formulas is remarkably similar to solving equations.
4 2 (÷4) v || | | | | | | | | | | | | | | | | | Don’t forget the ±! | | | | 7) Square root both sides to get ‘v = ± ‘. ( = || | || ‘. || | | | | | | | | | | | | | | | | | 6) Divide both sides by 4 to give ‘v2 = Make n the subject of the formula m = n + 5 . m = | | | | | | | 1) Get rid of any square roots by squaring both sides. n+5 a means the positive square root, so you don’t need a ±. | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | || 2 || | | | | | | | | | | | | | | | | | | | | | | | | | || There aren’t any fractions so ignore step 2.
C) 3x2 – 75y2 Answer: 3x2 – 75y2 = 3(x2 – 25y2) = 3(x + 5y)(x – 5y) This time, you had to take out a factor of 3 first. Watch out — the difference of two squares can creep into other algebra questions. A popular exam question is to put a difference of two squares on the top or bottom of a fraction and ask you to simplify it. 38. x 2 - 36 Simplify 5x + 30 The numerator is a difference of two squares. ^ x + 6 h^ x - 6 h x 2 - 36 x-6 = 5 5x + 30 = + ^ h 5 x 6 Factorise the denominator. Well, one’s green and one’s yellow...