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

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The coefficient of \dfrac{1}{2} before -f(x) means that the graph of -f(x) is squashed vertically by a factor of 2.

When an equation has 2 variables its much harder to solve, however, if you have 2 equations both with 2 variables, likeYou 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 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, 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, 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, GCSE English Literature Practice Papers are great for your preparation leading up to your exams. These papers have been created by English content experts and examiners, to look and feel like the real exams!

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, Simultaneous equations are multiple equations that share the same variables and which are all true at the same time. 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.Question 4: Work out the ratio of the surface area of the two mathematically similar spheres shown below. Give your answer in its simplest form. You can use the following table to find the corresponding measure of a mathematically similar shape. b) Now we have the scale factor, we can apply it to the corresponding length to BE which is BC. Hence, we find that, If we multiply the first equation by 2, we have two equations both with a 2y term, hence adding our new equation 1 and equation 2 we get, To do this we need to find two corresponding dimensions. For the example below we will use lengths.

If we multiply the second equation by 2, we have two equations both with a 2A term, hence subtracting our new equation 2 from equation 1 we get, AQA A Level Chemistry practice papers with mark schemes. A great way to practice for your exams. The profit from every set is reinvested into making free content on MME, which benefits millions of learners across the country.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. 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.