Last Minute Maths 0.0 / 5 ? MathematicsFractions, decimals and percentagesGCSEEdexcel Created by: freyasellersCreated on: 25-05-16 21:06 Recurring Decimals Write the recurring decimal equal to n, and write out some of its digits Multiply both sides by 10 for one recurring digit, 100 for two recurring digits etc. Subtract n to remove the recurring part Divide both sides by 99 to write as a fraction Simplify the fraction 1 of 6 Inequalities On a number line: An open circle shows that that number is NOT included A closed circle shows it IS included 2 of 6 Completing the Square x^2 + 2bx + c = (x + b)^2 - b^2 + c Remove the square from x Half the number before b Put the above together in a bracket and square them Take b^2 away from the expression Add/subtract what is necessary to get to the original c 3 of 6 Tranformations of Graphs y = f(x) + a = move UP a units y = f(x) - a = move DOWN a units y = f(x + a) = move LEFT a units y = f(x - a) = move RIGHT a units y = af(x) = stretch in VERTICAL direction, SF a y = f(ax) = stretch in HORIZONTAL direction, SF 1/a y = -f(x) = reflection in X-axis y = f(-x) = reflection in Y-axis 4 of 6 Density Density = mass/volume 5 of 6 Enlargements SF = enlarged length/original length Draw lines from each vertex through the centre of enlargement The corresponding point is SF times the distance from the centre of enlargement If the SF is negative the enlargement will be on the opposite side of the centre of enlargement and upside down 6 of 6
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