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

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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. 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} begin{aligned} 2x

Now, if the scale factor for the side-lengths is \textcolor{red}{4}, then that means that the scale factor for the areas is: 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. Step 1: Rearrange the linear equation to get one of the unknowns on its own and on one side of the equals sign. Therefore, to find the area of the smaller shape, we need to divide the area of the bigger shape by the area scale factor: 16. Doing so, we get Then, to find x, we must multiply this value by the corresponding side-length of the smaller shape. So, we get

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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. then there is a solution for us to find that works for both equations. These equations are called simultaneous for this reason. 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.

b) Now we have the scale factor, we can apply it to the corresponding length to AC which is DF. Hence, we find that, Learn an entire GCSE course for maths, English and science on the most comprehensive online learning 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.Question 5: The diagram shows two mathematically similar rectangles, ABEF and ACDF. Find the scale factor, giving your answer in surd form.

Now, if the scale factor for the side-lengths is \textcolor{red}{4}, then that means the scale factor for the volumes is: If we multiply the second equation by 2, we have two equations both with a 2x term, hence subtracting our new equation 2 from equation 1 we get,

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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. 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