![]() The product of two numbers is 24 and the mean is 5. X 2 + (x+1) 2 = 5 2 (Pythagoras' Theorem) ![]() Find x and the area, if the longest side is 5. The three sides of a right-angled triangle are x, x+1 and 5. X = -10 or x = 5 - x = -10 is impossible to be a width Find the length, width and the perimeter. The length of a rectangle is 5 cm more than its width and the area is 50cm 2. The sum of two numbers is 27 and their product is 50. There is enough coverage on new additions to the syllabus with a significant amount of questions. A disciplined practice through this book prepares the students for both examinations fully. The questions progress well so that students can get a good conceptual understanding of every major topic. The book covers every single topic in depth and offers plenty of questions to practise. I highly recommend the following textbook for both GCSE(9-1) and IGCSE(9-1). The following programme is interactive: by clicking on the buttons, you can generate a random equation and its solutions: they are randomly generated - and unlimited in number. If you think you need a bit more practice before dealing with word problems, here is a question generator and a programme to check your answers: The Equation Generator This tutorial primarily focuses on solving real-world problems involving quadratic equations. In this tutorial, I assume you have already got a good skill in solving quadratic equations as explained in the above tutorial. ![]() In order to learn how to solve quadratic equations by four different methods, please follow this tutorial it's detailed and offers plenty of worked examples and practice questions.
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