WordPress.com



Year 11 Mock Exam Nov/Dec 2016 - Revision content:Name of Faculty: MathematicsNumber of exams: 3 (paper 1 non-calculator, paper 2 calculator, paper 3 calculator)Length of exam: Each paper 1hour 30 minsTopic areas: Higher tierNumberPercentage increase and decreaseSurds – finding values, expanding brackets, simplifyingEvaluating negative and fractional indicesChanging recurring decimals to fractionsLaws of IndicesErrors and interval boundsStandard form (recognising, adding, subtracting, multiplying & dividing numbers in standard form)Reverse percentages & complex percentage questionsRounding to a given number of decimal places and significant figuresHCF and LCM and prime numbers including prime factorisationError bounds & problem solving involving error boundsRatio, Proportion & rates of changeProblems involving Speed, distance & time, finding an average speed.Proportional amountsCompound InterestComparing 2 different ratios and understanding map scales using ratioFractional parts of a given ratio, combining ratiosProportional reasoning of reciprocal functionsAlgebra & GraphsMultiplying out single and double bracketsSolving inequalities & recognising double inequalitiesInequalities of a graphSolving linear equationsSequences, linear and Fibonacci style sequencesSubstitution into a formulaRatio within the context of straight line graphsEstimation – by rounding each part of the calculation to one significant figure.Equivalent algebraic expressionsPlotting a quadratic graph and solving equations using graphical methodsSolving quadratic equationsDensityFunction notation, inverse functions, composite functionsGraphs of power functionsQuadratic graphsRearranging formulaeTravel graphs (distance-time graphs and finding average speed)Travel graphs – speed-time graphs & understand area under a speed-time graph gives distance travelledExponential functionsGraphical transformationsRecognise the difference between a formula, identity, equation and inequalitySimultaneous equations – problems involvingReal life graphs – filling up problemsCompleting the square & turning pointsIteration & using iterative formulaeFinding gradients of curves at particular points by drawing a tangent and finding gradientGeometry and MeasuresArea of a circle and semicircleAngles in a triangle, quadrilateral and named quadrilateralsAngles in a full turn and on a straight lineAngles in parallel linesPythagoras’ theoremVectors (including vector geometry)Recognise sin, tan, cos graphsTrigonometry of right angled trianglesTrigonometry – including area of a triangle = ?absinCEquation of a circle, centre (0,0)Circle theorems (including tangent properties)Equation of a straight lineVolume of a sphere, cone, pyramidArea of a triangle, trapeziumSurface area of a cuboid and cylinderConstructions and LociPlans and elevationsWriting areas of shapes using algebraic expressionsSimilar shapes (similar area, similar volumes)Transformations (all 4 different types) – including invariant pointsProbabilityProbability of a single eventProbability tree diagrams (including with and without replacement)Venn diagrams & problems involving Venn diagramsRelative frequencyStatisticsHistograms (understanding relative frequency)Mean and median class interval from a grouped frequency tableCumulative frequency graphs and readings from graphsRelative frequencyBoxplots, interquartile rangeTopic areas: Foundation tierNumberConverting between fractions, decimals and percentagesMultiples, Factors and Prime numbersSquare numbers, cube numbers, square roots and cube rootsAdding, subtracting, multiplying and dividing whole numbers (& finding remainders)Understand time and timetables and the calendarAdding, subtracting, multiplying and dividing fractions (including whole numbers)Changing improper fractions to mixed numbersFinding percentages of quantities including percentages on bills Finding percentage increase / decreaseSolving problems involving percentages and money (including wages)Estimating calculations (by rounding each number to one significant figure)Adding, subtracting, multiplying and dividing directed numbers Profit and loss problem solving questionsCompound interest (including using the formula)Prime factors – expressing a number as the product of its prime factorsHCF and LCMUnderstanding indices (evaluating and simplifying)Frequency treesBODMAS – and understanding the order of operations in a calculationStandard form (including operations on standard form numbers)Ratio, Proportion & rates of changeFinding the cost of one item given the cost of a set number of itemsWriting a ratio in its simplest formKnowing what multiplications are equivalent to other multiplicationsRepeated proportion increase or decreaseProblems involving Speed, distance & time, finding an average speed.Ratio of straight lines plotted on a coordinate gridFinding the midpoint of a line joining two coordinatesFilling in values of money in tables (e.g. bank balance, bills, etc)Comparing 2 different ratios and understanding map scales using ratioSimilarity and similar trianglesAlgebra and GraphsSolving linear equationsSimplifying expressions (including multiplying terms)Working out co-ordinates given a formulaRearranging formulaSubstituting into a formulaExpanding single brackets and factorisingExpanding double brackets, quadratic factorisationSolving quadratic equations by factorisingPlotting co-ordinates in all 4 quadrantsCreating a table of values for a linear function and plottingSequences, linear and Fibonacci style sequencesSolving inequalities, writing down INTEGER values from inequalitiesFinding the equation of a straight line using y=mx+cUnderstanding that parallel lines have equal gradientsTravel graphs (distance-time graphs and finding average speed)Understanding what an identity is and how it differs from an equationReal life graphs Simultaneous equationsGeometry and MeasuresConvert between metric units, convert between imperial units.Convert between compound units (e.g. km/h into m/s)Density – finding density or mass or volume using the formulaAmount of turn (e.g. knowing a three quarter turn is 270 degrees)Fraction of amounts Angles in a triangle, quadrilateral and named quadrilateralsAngles in a full turn and on a straight lineAngles in parallel linesPythagoras’ theoremNames of parts of a circleProperties of quadrilaterals (square, rectangle, trapezium, parallelogram, rhombus, etc)Line and rotational symmetryEstimating area of a shapePerimeter & Area of a rectangle, triangle, parallelogram, rectangle, trapezium, kiteArea of rectangles using algebraic expressionsVolume of cube, cuboid, prism, sphere, pyramid, coneCapacity – knowing 1000ml = 100cl = 1 litre & 8 pints = 1 gallonDefinition of a prism and knowing what a vertex, edge and face arePlans and elevationsConstructions and LociProbabilityProbability of a single outcome including throwing a diceProbability notation and understanding that events sum to 1Sample space diagramsExpectation of a simple probability problemVenn diagrams and set notationStatisticsMean, median and modal averagesMean from a frequency and grouped frequency tableBar charts, compound bar chartsLine graphs – taking readings and interpreting informationDrawing and interpreting a pictogram ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download