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英国十年级【K10】Maths:第2版higher
英国十年级【K10】Maths:第2版higher
英国十年级【K10】Maths:第2版higher
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英国十年级【K10】Maths:第2版higher
01.Algebraicmanipulation
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01.Furtheralgebraicterminology
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02.Checkingandsecuringunderstandingoffactorising
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03.Checkingandsecuringunderstandingofforminglinearequations
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04.Checkingandsecuringunderstandingofsolvingandinterpretinglinearequations
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05.Checkingandsecuringunderstandingofchangingthesubject
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06.Checkingandsecuringunderstandingoftheproductoftwobinomials
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07.Theproductofthreebinomials
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08.Factorisingaquadraticexpression
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09.Factorisingusingthedifferenceoftwosquares
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10.Factorisingquadraticsoftheformax^2+bx+c
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11.Solvingquadraticequationsbyfactorising
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12.Solvingquadraticequationsbyfactorisingwhererearrangementisrequired
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13.Solvingquadraticequationsbycompletingthesquare
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14.Solvingquadraticequationsbyusingtheformula
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15.Advancedproblemsolvingwithalgebraicmanipulation
02.Simultaneousequations2variables
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01.Checkingandsecuringunderstandingofinterpretinggraphs
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02.Formingsimultaneousequations
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03.Combiningequations
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04.Solvingsimultaneousequationsbyeliminationfromacontext
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05.Solvingalgebraicsimultaneousequationsbyelimination
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06.Solvingmorecomplexsimultaneousequationsbyelimination
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07.Solvingsimultaneouslinearequationsbysubstitution
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08.Solvingsimultaneouslinearequationsgraphically
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09.Solvingaquadraticandlinearpairofsimultaneousequationsusingelimination
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10.Solvingaquadraticandlinearpairofsimultaneousequationsusingsubstitution
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11.Solvingaquadraticandlinearpairofsimultaneousequationsgraphically
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12.Solvingsimultaneousequationsviaanymethod
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13.Problemsolvingwithlinearandquadraticsimultaneousequations
03.Percentages
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01.Checkingandsecuringunderstandingofpercentageincrease
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02.Checkingandsecuringunderstandingofpercentagedecrease
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03.Percentageprofitandloss
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04.Simpleandcompoundinterest
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05.Simpleinterestcalculations
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06.Simpleinterestcalculationswithtechnology
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07.Compoundinterestcalculations
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08.Compoundinterestcalculationswithtechnology
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09.Calculatingcompoundinterestrates
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10.Changingcompoundinterestrates
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11.Advancedproblemsolvingwithpercentages
04.Arithmeticproceduresindexlaws
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01.Convertinganyrecurringdecimaltoafraction
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02.Checkingandsecuringunderstandingofprimefactorisation
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03.CheckingandsecuringunderstandingofLCMandHCF
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04.Checkingandsecuringunderstandingofrootsandintegerindices
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05.Thelawsofindices-multiplication
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06.Thelawsofindices-division
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07.Thelawsofindices-raisingapowertoapower
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08.Thelawsofindices-negativeandzeroexponents
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09.Thelawsofindices-fractionalexponents
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10.Advancedproblemsolvingwiththelawsofindices
05.Standardformcalculations
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01.Checkingandsecuringunderstandingofwritinglargenumbersinstandardform
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02.Checkingandsecuringunderstandingofwritingsmallnumbersinstandardform
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03.Addingnumbersinstandardform
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04.Subtractingnumbersinstandardform
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05.Multiplyingnumbersinstandardform
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06.Dividingnumbersinstandardform
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07.Problemsolvingwithstandardformcalculations
06.Surds
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01.Accuracyoffinalanswers
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免费
02.Identifyingsquarefactorstosupportsimplifyingsurds
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03.Simplifyingsurds
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04.Additionwithsurds
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05.Multiplicationofsurds
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06.Applyingtheunderlyingstructureofmultiplicationanddivisionofsurds
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07.Thedistributivelawwithsurds
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08.Thedistributivelawwithtwoormorebinomials
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09.Rationalisingasingletermdenominator
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10.Rationalisingatwotermdenominator
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11.Solvingequationswithsurds
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12.Problemsolvingwithsurds
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12.Problemsolvingwithsurds_1
07.Sampling
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01.Checkingunderstandingofstatisticalproblems
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02.TheStatisticalEnquiryCycle
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03.Typesofdata
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04.Samplingmethods
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05.Stratifiedsampling
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06.Capturerecapturesamplingmethod
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07.Samplinglimitations
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08.Datacollection
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09.Biasedquestioning
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10.Advancedproblemsolvingwithsampling
08.Graphicalrepresentationsofdatascattergraphsandtimeseries
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01.Checkingunderstandingofscattergraphs
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02.Checkingunderstandingofcorrelation
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03.Estimatingfromscattergraphs
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04.Interpolationversusextrapolation
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05.Outliersinscattergraphs
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06.Constructingtimeseriesgraphs
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07.Interpretingtimeseriesgraphs
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08.Problemsolvingwithscattergraphsandtimeseries
09.Comparisonsofnumericalsummariesofdata
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01.Checkingunderstandingofsummarystatisticsfromalist
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01.Checkingunderstandingofsummarystatisticsfromalist_1
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02.Checkingunderstandingofsummarystatisticsfromafrequencytable
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03.Calculatingsummarystatisticsfromagroupedfrequencytable
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04.Calculatingthemeanfromagroupedfrequencytable
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05.Weightedmeans
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06.Constructingstemandleafdiagrams
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06.Constructingstemandleafdiagrams_1
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07.Calculatingsummarystatisticsfromstemandleafdiagrams
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08.Checkingunderstandingofmeasuresofcentraltendency
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09.Comparingdatasetsincontext
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10.Statisticalsummariesusingtechnology
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11.Comparingvariousrepresentationsofdatasets
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12.Problemsolvingwithcomparisonsofnumericaldata
10.Rounding,estimationandbounds
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01.Upperandlowerbounds
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02.Upperandlowerboundsinadditivecalculations
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03.Upperandlowerboundsinmultiplicativecalculations
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04.Usingupperandlowerboundspractically
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05.Advancedproblemsolvingwithrounding,estimationandbounds
11.Ratio
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01.Checkingandsecuringunderstandingofsimplifyingandunitisingratios
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02.Checkingandsecuringunderstandingofequivalentratios
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03.Checkingandsecuringunderstandingofsharinginaratio
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04.Checkingandsecuringunderstandingofconvertingbetweenratios,percentagesandfractions
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05.Checkingandsecuringunderstandingofrealworldratios
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06.Combiningratios
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07.Changingratios
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08.Writingequationsfromratios
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09.Algebraicratios
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10.Problemsolvingwithalgebraicratios
12.Lineargraphs
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01.Checkingandsecuringunderstandingofdrawingverticalandhorizontalgraphs
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02.Checkingandsecuringunderstandingoffindingtheequationofthelinefromthegraph
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03.Checkingandsecuringunderstandingoffindingtheequationofthelinefromcoordinates
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04.Parallellineargraphs
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05.Perpendicularlineargraphs
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06.Identifyingperpendicularlineargraphs
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07.Parallelandperpendicularlinesoncoordinateaxes
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08.Ratiosinlinesegmentsoncoordinateaxes
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09.Checkingandunderstandinggraphsshowingdirectproportion
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10.Graphsshowinginverseproportion
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11.Advancedproblemsolvingwithlineargraphs
13.Non-lineargraphs
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01.Checkingandsecuringunderstandingofdrawingquadraticgraphs
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02.Keyfeaturesofaquadraticgraph
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03.Drawingcubicgraphs
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04.Keyfeaturesofacubicgraph
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05.Drawingreciprocalgraphs
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06.Keyfeaturesofareciprocalgraph
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07.Drawingexponentialgraphs
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08.Keyfeaturesofanexponentialgraph
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09.Drawingthegraphfortheequationofacircle
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10.Advancedproblemsolvingwithnon-lineargraphs
14.2Dand3Dshapecompoundshapes
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01.Checkingandsecuringunderstandingofconvertingbetweenmetricandimperialmeasures
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02.Checkingandsecuringunderstandingofscalesandconversion
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03.Checkingandsecuringunderstandingofperimeterforcompoundshapes
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04.Checkingandsecuringunderstandingofareaforcompoundshapes
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05.Perimeterandareainacontextualsetting
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06.Calculatingarclength
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07.Areaofasector
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08.Areaofcompoundshapes
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09.Shapeswithinshapes
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10.Equationsfromcomplexshapes
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11.Shapesoncoordinategrids
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12.Problemsolvingwithcomplex2Dshapes
15.Angles
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01.Checkingandsecuringunderstandingofadvancedanglefacts
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02.Checkingandsecuringunderstandingonchainsofreasoningwithanglefacts
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03.Checkingandsecuringunderstandingofpolygons
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04.Checkingandsecuringunderstandingofinteriorangles
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05.Formingequationswithangles
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06.Problemsolvingwithangles
16.Furthertransformations
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01.Checkingandsecuringunderstandingofcongruenceandsimilarity
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02.Checkingandsecuringunderstandingofrotation
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03.Checkingandsecuringunderstandingoftranslation
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04.Checkingandsecuringunderstandingofreflection
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05.Checkingandsecuringunderstandingofenlargementwithpositiveintegerscalefactors
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06.Checkingandsecuringunderstandingofenlargementwithpositivefractionalscalefactors
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07.Enlargementusinganegativescalefactor
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08.Describinganegativeenlargement
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09.Multipletransformations
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10.Identifyingmultipletransformations
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11.Advancedproblemsolvingwithfurthertransformations
17.Similarity
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01.Checkingandsecuringunderstandingofdirectproportionincontext
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02.Theeffectofenlargementontheperimeterofashape
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03.Theeffectofenlargementontheareaofashape
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04.Usingthescalefactorforenlarginganarea
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05.Theeffectofenlargementonthevolumeofa3Dshape
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06.Usingthescalefactorforenlargingavolume
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07.Checkingandsecuringunderstandingofcongruenttriangles(SSS)
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08.Checkingandsecuringunderstandingofcongruenttriangles(SAS)
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09.Checkingandsecuringunderstandingofcongruenttriangles(ASA)
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10.Checkingandsecuringunderstandingofcongruenttriangles(RHS)
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11.Problemsolvingwithadvancedsimilarityknowledge
18.Circletheorems
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01.Checkingandsecuringunderstandingofthepartsofacircle
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02.Theangleatthecentreofthecircleistwicetheangleatanypointonthecircumference
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03.Theangleinasemicircleisarightangle
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04.Theperpendicularfromthecentreofacircletoachordbisectsthechord
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05.Thetangentatanypointonacircleisperpendiculartotheradiusatthatpoint
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06.Theanglesinthesamesegmentareequal
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07.Thealternatesegmenttheorem
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08.Theoppositeanglesofacyclicquadrilateralsumto180°
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09.Thetangentsfromanexternalpointareequalinlength
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10.Identifyingwhichcircletheoremtouse
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11.Problemsolvingwithcircletheorems
19.Plansandelevations
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01.Checkingandsecuringunderstandingofaccuratedrawings
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02.Representing3Dshapesin2D
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03.Drawingtheplanandelevationsofasolid
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04.Drawingthesolidfromtheplanandelevations
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05.Problemsolvingwithplansandelevations
20.Right-angledtrigonometry
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01.CheckingandfurthersecuringunderstandingofPythagorastheorem
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02.UsingPythagorastheoremtojustifyaright-angledtriangle
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03.Calculatingthelengthofalinesegment
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04.Checkingandsecuringunderstandingoftheunitcircle
0:0
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05.Checkingandsecuringunderstandingofsineratioproblems
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06.Checkingandsecuringunderstandingofcosineproblems
0:0
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07.Checkingandsecuringunderstandingoftangentratioproblems
0:0
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08.Calculatetrigonometricratiosfor30°and60°
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09.Calculatetrigonometricratiosfor0°,45°and90°
0:0
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10.Applyingtrigonometricratiosincontext
0:0
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11.ApplyingPythagorastheoremin3D
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12.Applyingtrigonometricratiosin3D
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13.Advancedproblemsolvingwithright-angledtrigonometry
21.Bearings
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01.Checkingandsecuringunderstandingofscaleddrawings
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02.Checkingandsecuringunderstandingofdrawingaccuratescaleddiagrams
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03.Followingabearing
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04.Findingabearing
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05.Reversebearings
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06.Problemsolvingwithbearings
23.Addingsurds
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01.Addtwosurds
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02.Subtracttwosurds
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03.Addtwosurdswhereyouneedtosimplify
0:0
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04.Subtracttwosurdswhereyouneedtosimplify
24.MultiplyingSurds
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01.MultiplyTwoSurdsandSimplify
0:0
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02.MultiplyTwoSurdswithCoefficients
0:0
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03.ExpandSingleBracketsContainingaSurd
0:0
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04.ExpandDoubleBracketsContainingSurds
25.DividingandRationalisingsurds
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01.DividingSurds(Part1)
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02.DividingSurds(Part2)
0:0
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03.RationalisingSurds(Part1)
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04.RationalisingSurds(Part2)
26.Solvingequations2(Simplealgebraicfractions)
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01.Solveequationsthatfirstinvolvesimplification2(x+3)+5x=15
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02.Solvesimplealgebraicfractions(equaltoanumber)
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03.Solvingalgebraicfractions(equaltox+a)
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04.Solvingalgebraicfractions(onefractionequaltoanother)
27.AlgebraicFractions
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01.Addtwoalgebraicfractionswithintegerdenominators
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02.Subtracttwoalgebraicfractionswithanintegerdenominator
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03.Solvingequationsinvolvingaddingtwofractions
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04.Solvingequationsinvolvingsubtractingtwofractions
28.Factoriseandsolveaquadratic(a=1)
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01.Factoriseaquadratic
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02.Factoriseaquadratic(differenceoftwosquares)
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03.Solveaquadraticequationbyfactorising
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04.Simplifyinganalgebraicfractionbyfactorising
29.Factoriseandsolvequadratics(a>1)
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01.Factoriseaquadratic(Higher)
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02.Factoriseaquadratic(differenceoftwosquares)-Higher
0:0
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03.Solveaquadraticequationbyfactorising(Higher)
0:0
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04.Simplifyinganalgebraicfractionbyfactorising(Higher)
30.SubstitutionandRearrangingformulae
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01.Substituteapositivetermintoaformula
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02.Substituteanegativetermintoaformula
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03.Changethesubjectofaformula
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04.Changethesubjectofaformulawithsquaresandsquareroots
31.FurtherAlgebra(ChangethesubjectBinomialexpansion)
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01.Changethesubjectwheretheunknownappearstwice
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02.Changethesubjectwheretheunknownappearstwiceinanalgebraicfraction
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03.Expandlinearandquadraticexpressions
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04.Expandproductofmorethantwobinomials
32.Similarity
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01.Identifysimilarshapesandshowshapesaresimilar
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02.Findmissinglengthsinsimilarseparateshapes
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03.Findmissinglengthsinsimilarshapeswhichhavesidesoverlapping
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免费
04.Identifycongruentshapes
33.Trigonometry1
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01.Knowtangent,sineandcosine
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02.Usetangenttofindalength
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03.Usesineandcosinetofindalength
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04.ApplyingTrigonometry
34.Trigonometry2
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01.Usetrigonometrytofindtheperpendicularheightofatriangle
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02.Solvebasictrigonometryequations
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03.Useinversefunctionstofindanangle
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04.Solveproblemsmixinganglesandsides
35.Trigonometry3
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01.Knowthetrigonometryratiosfor0°,30°,45°,60°and90°
0:0
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02.Substitutetheexactvaluestofindamissinglength
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03.Usetrigonometrytosolvebearingproblems
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04.KnowwhentousePythagorasorTrigonometrytosolveproblems
36.TypesofNumbersandRulesofIndices
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01.Multiplypowers
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02.Dividepowers
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03.Powersofpowers
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04.Manipulatingpowers
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05.Squareandcubenumbers
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06.Squarerootsandcuberoots
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07.Higherpowers
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08.Higherroots
37.NegativeandFractionalIndices
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01.Negativeintegerindicesandthepowerofzero
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02.Fractionalindices
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03.Fractionalindices(advanced)
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免费
04.Negativeandfractionalindices(mixedskills)
38.Recurringdecimals
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01.Writeafractionasarecurringdecimalusingdivision
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02.Recurringdecimalswhereonenumberrepeats
0:0
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03.Recurringdecimalswheretwoormorenumbersrepeat
0:0
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04.Recurringdecimalswhereonenumberafterthedecimalpointisfixedandtheothersrepeat
39.UpperandLowerBounds
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01.UpperandlowerboundsErrorintervals
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02.UpperandlowerboundsAddingandsubtracting
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03.UpperandlowerboundsMultiplyinganddividing
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04.UpperandlowerboundsApplicationofskills
40.StraightLineGraphs(y=mx+C)
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01.Findthegradientofaline
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02.Findtheequationofastraightlineusingy=mx+c
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03.Findtheinterceptandgradientfromalinegiveninanyform
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04.Usinggradienttosolveproblemswithparallellines
41.StraightLineGraphs2(ParallelLines)
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01.Writetheequationofastraightlineifparalleltoalineandpassingthrough(0,n)
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02.Writetheequationofastraightlineifparalleltoalineandpassingthroughanypoint
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03.Findtheequationofastraightlinethroughtwogivenpoints
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04.Interpretgradientandinterceptonreallifegraphs
42.HigherStraightlines(PerpendicularLines)
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免费
01.Workoutgradientoflineperpendiculartoagivenline
0:0
免费
02.Workoutequationofthelineperpendicularthatpassesthroughagivenpoint
0:0
免费
03.Workouttheequationoftheperpendicularbisectorofalinesegment
0:0
免费
04.Provetwolinesareperpendicular
43.SimultaneousEquations(Linear)
0:0
免费
01.Solvelinearsimultaneousequationswhereoneofthecoefficientsisequal
0:0
免费
02.Solvelinearsimultaneousequationswhereyouneedtomultiplyoneoftheequations
0:0
免费
03.Solvelinearsimultaneousequationswhereyouneedtomultiplybothequations
0:0
免费
04.Solvelinearsimultaneousequationswhereyouneedtofirstrearrange
44.ScatterDiagrams&FrequencyTrees&Averages
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免费
01.Findthemean,median,modeandrangefromalistofnumbers
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免费
02.Stemandleafdiagrams
0:0
免费
03.Meanfromafrequencytable
0:0
免费
04.Meanfromagroupedfrequencytable
0:0
免费
05.Plotascattergraphanddescribecorrelation
0:0
免费
06.Identifyandexplainoutliersfromascatterdiagram
0:0
免费
07.Usealineofbestfitonascattergraph
0:0
免费
08.Drawandinterpretafrequencytree
45.HigherData1(CFandBoxPlots)
0:0
免费
01.Plotacumulativefrequencydiagram
0:0
免费
02.FindquartilesandinterquartilerangefromCFdiagram
0:0
免费
03.Findquartilesfromalistofdata
0:0
免费
04.Plotaboxplotandcomparedistributions
46.Probability2(Samplespace,Venndiagramsandexperimental)
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免费
01.Listoutcomesinasamplespacediagram(two-waytable)andcalculateprobabilities
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免费
02.Calculateexperimentalprobabilitiesandmakepredictions(relativefrequency)
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免费
03.FindprobabilitiesfromVenndiagramsincludingbasicsetnotation
0:0
免费
04.Findprobabilitiesfromfrequencytrees
47.HigherProbability(ConditionalandFurtherSetNotation)
0:0
免费
01.Conditionalprobabilitywordproblems
0:0
免费
02.Conditionalprobabilityfromatwo-waytable
0:0
免费
03.Probabilityfromavenndiagramusingfurthersetnotation(2sets)
0:0
免费
04.Probabilityfromavenndiagramusingfurthersetnotation(3sets)
48.FurtherQuadraticequations
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免费
01.Useformulaetosolvequadraticequations(bispositive)
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免费
02.Useformulaetosolvequadraticequations(anyvalue)
0:0
免费
03.Completethesquare(a=1)
0:0
免费
04.Solvequadraticequationsbycompletingthesquare
49.QuadraticGraphs1(a=1)
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免费
01.Plotsimplequadraticequations
0:0
免费
02.Plototherquadraticequations
0:0
免费
03.SolvingQuadraticEquationsGraphically
0:0
免费
04.Identifyandinterpretroots,interceptsandturningpointsofquadraticgraphs
50.QuadraticGraphs2(a>1)
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免费
01.Drawquadraticgraphs(a>1)
0:0
免费
02.Drawquadraticgraphs(negativexsquared)
0:0
免费
03.Solvequadraticgraphs=0,=aand=ax+b
0:0
免费
04.Solvingquadraticequations,givenadifferentquadratic,usingasketch
51.Quadraticsequences
0:0
免费
01.Findthenthtermofaquadraticsequence
0:0
免费
02.Solvesimplequadraticinequalities
0:0
免费
03.Solvequadraticinequalities(a=1)
0:0
免费
04.Solvequadraticinequalities(a>1)
52.Onelinearandonequadraticsimultaneousequations
0:0
免费
01.Solvewherey=andy=(settingtheequationsequaltooneanother)
0:0
免费
02.Solvewherex2+y2=randx+y=3(substituting)
0:0
免费
03.Solvewherexy=aandy=2x+1(substituting)
0:0
免费
04.Understandingsolutionstoequationswithrespecttotheirgraphs
53.PartsofaCircle1&2
0:0
免费
01.Knowthepartsofacircle
0:0
免费
02.Findtheareaofasemicircleandquartercircle
0:0
免费
03.Findtheareaofasector
0:0
免费
04.Findtheradiusordiametergiventheareaofasector
0:0
免费
05.Findthelengthofanarconasemicircleandquartercircleandtheperimeterofasemicircleandquartercircle
0:0
免费
06.Findthelengthofanarcandtheperimeterofasector
0:0
免费
07.Usethearclengthtofindtheradiusorangleofasector
0:0
免费
08.Calculateareaofcompoundshapeswithcircles
54.VolumeandSurfaceArea1(Prisms)
0:0
免费
01.VolumeofCubesandCuboids
0:0
免费
02.FindingtheVolumeofTriangularPrisms
0:0
免费
03.FindingtheSurfaceAreaofCubesandCuboids
0:0
免费
04.FindingtheSurfaceAreaofTriangularPrisms
55.Volume2
0:0
免费
01.Volumeandsurfaceareaofapyramid
0:0
免费
02.Volumeandsurfaceareaofacone
0:0
免费
03.Volumeandsurfaceareaofasphere
0:0
免费
04.Volumeandsurfaceareaofcompositesolids
56.SurfaceArea2
0:0
免费
01.Volumeandsurfaceareaofapyramid
0:0
免费
02.Volumeandsurfaceareaofacone
0:0
免费
03.Volumeandsurfaceareaofasphere
0:0
免费
04.Volumeandsurfaceareaofcompositesolids
57.VolumeandSurfaceArea2
0:0
免费
01.Volumeandsurfaceareaofapyramid
0:0
免费
02.Volumeandsurfaceareaofacone
0:0
免费
03.Volumeandsurfaceareaofasphere
0:0
免费
04.Volumeandsurfaceareaofcompositesolids
58.AdvancedTrigonometry1
0:0
免费
01.Usethesineruletofindamissinglength
0:0
免费
02.Usethesineruletofindamissingangle
0:0
免费
03.Usethecosineruletofindamissinglength
0:0
免费
04.Usethecosineruletofindamissingangle
59.AdvancedTrigonometry2
0:0
免费
01.AreaofaTriangleUsingA=absinC
0:0
免费
02.UseA=absinCtoFindaMissingLength
0:0
免费
03.WhentoUsetheSineorCosineRules
0:0
免费
04.Sine,CosineandAreaRules-MixedProblems
60.AdvancedTrigonometry3
0:0
免费
01.Trigonometryin3Dshapes
0:0
免费
02.Solvetrigequationsinvolvingsinxbetween0and360
0:0
免费
03.Solvetrigequationsinvolvingcosxbetween0and360
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