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

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You can use the following table to find the corresponding measure of a mathematically similar shape. Question 3: Triangles BCA and BED are mathematically similar. Given that BC=4.4 cm, BA=3 cm, AD=3 cm, and AC=5 cm. The MME GCSE maths formula sheet covers all the essential equations you need to know for the exam. The profit from every formula sheet is reinvested into making free content on MME, which benefits millions of learners across the country. If we multiply the first equation by 3, we have two equations both with a 3x term, hence subtracting our new equation 2 from equation 1 we get,

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

The coefficient of \dfrac{1}{2} before -f(x) means that the graph of -f(x) is squashed vertically by a factor of 2. AQA A Level Biology practice papers and mark schemes. A great way to practise for your A Level Biology exams. The profit from every set 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: simply look up the answers. If you want the answers, either bookmark the worksheet or print the answers straight away.

Now, if the scale factor for the side-lengths is \textcolor{red}{4}, then that means the scale factor for the volumes is: Step 1: Rearrange the linear equation to get one of the unknowns on its own and on one side of the equals sign. 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. To do this, we’ll use a process called elimination– we’re going to eliminate one of the variables by subtracting one equation from the other. We will write one equation on top of the other and draw a line underneath, as with normal subtraction. There are 4 main types of graph transformation that we will cover. Each transformation has the same effect on all functions.

The coefficients are the numbers before x and y, make the x coefficients the same by scaling up both equations a) 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. Doing so, we get, Because one of these equations is quadrati c (Non-linear), we can’t use elimination like before. Instead, we have to use substitution. Learn an entire GCSE course for maths, English and science on the most comprehensive online learning platform. WJEC GCSE Maths Practice Papers are great preparation for your GCSE Maths exams. These practice papers are in the same format and style as the real exams, and come in A4 booklets. Exclusive to MME! The profit from every set is reinvested into making free content on MME, which benefits millions of learners across the country.