Maths Made Easy: Advanced, Ages 7-8 (Key Stage 2): Supports the National Curriculum, Maths Exercise Book (Made Easy Workbooks)

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begin{aligned}y&=2x-6\\ y&=\dfrac{1}{2}x+6 \\ \\ (y-y)&=(2x-\dfrac{1}{2}x)-6-6 \\ 0&= \dfrac{3}{2}x-12 \end{aligned} From a humble beginnings of a dedicated individual adding free Maths content for all, to one of the country’s leading Maths, English and Science resources and a team committed to expanding on the good work, Maths Made Easy will continue to help more and more people find exceptional revision materials alongside expert private tutors.

Simultaneous equations are multiple equations that share the same variables and which are all true at the same time. Now we have that the scale factor is \textcolor{blue}{3}, all we need to do to find x is multiply \textcolor{blue}{3} by the length of the corresponding side on the smaller shape. So we get then there is a solution for us to find that works for both equations. These equations are called simultaneous for this reason.A level maths revision cards and exam papers for the exam board of your choosing. MME is here to help you study from home with our revision cards and practice papers. The profit from every bundle is reinvested into making free content on MME, which benefits millions of learners across the country. Split the transformation up into 2 parts – firstly sketch y=3f(x) which is a stretch vertically by a scale factor of 3 (multiply the y-coordinates by 3: GCSE Combined Science Trilogy Practice Papers and Mark Schemes. Great preparation for your exams. Get 1 step ahead with these papers! The profit from every set is reinvested into making free content on MME, which benefits millions of learners across the country. The coefficient of \dfrac{1}{2} before -f(x) means that the graph of -f(x) is squashed vertically by a factor of 2.

Learn an entire GCSE course for maths, English and science on the most comprehensive online learning platform. begin{aligned} 2x Now, to get the area of the bigger shape, we must multiply the area of the smaller one by this scale factor. Doing so, we get simply look up the answers. If you want the answers, either bookmark the worksheet or print the answers straight away. To work out the scale factor, SF, we need to divide the given side-length on the bigger shape by the corresponding side of the smaller shape. However, in this case we are not given two corresponding sides. Instead we can set an unknown length BE, as x and form the equation,

Then, to find x, we must multiply this value by the corresponding side-length of the smaller shape. So, we get You can use the following table to find the corresponding measure of a mathematically similar shape. There are 4 main types of graph transformation that we will cover. Each transformation has the same effect on all functions. You should have seen some graph transformations before, such as translations and reflections – recall that reflections in the x-axis flip f(x) vertically and reflections in the y-axis flip f(x) horizontally. Here, we will also look at stretches.