OCR · GCSE
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Start with the first Mathematics lesson.
Understanding Place Value
1Understanding Place ValueRead next2Writing Numbers in WordsRead next3Ordering Whole NumbersRead next4Rounding to the Nearest 10, 100, 1000Read next5Rounding to Decimal PlacesRead next6Rounding to Significant FiguresRead next7Understanding Upper and Lower BoundsRead next8Identifying IntegersRead next9Adding and Subtracting IntegersRead next10Multiplying and Dividing IntegersRead next11Understanding FractionsRead next12Simplifying FractionsRead next13Converting Between Improper Fractions and Mixed NumbersRead next14Adding and Subtracting FractionsRead next15Multiplying FractionsRead next16Dividing FractionsRead next17Converting Between Fractions and DecimalsRead next18Understanding Terminating and Recurring DecimalsRead next19Adding and Subtracting DecimalsRead next20Multiplying and Dividing DecimalsRead next21Understanding PercentagesRead next22Converting Between Fractions, Decimals, and PercentagesRead next23Finding Percentages of an AmountRead next24Percentage Increase and DecreaseRead next25Solving Reverse Percentage ProblemsRead next26Understanding Powers and IndicesRead next27Applying the Index LawsRead next28Negative IndicesRead next29Fractional IndicesRead next30Understanding Square and Cube RootsRead next31Estimating Roots of Non-Perfect SquaresRead next32Understanding SurdsRead next33Simplifying SurdsRead next34Rationalising the DenominatorRead next35Understanding Standard FormRead next36Converting Numbers to Standard FormRead next37Converting Numbers from Standard FormRead next38Multiplying and Dividing in Standard FormRead next39Adding and Subtracting in Standard FormRead next40Using a Calculator EffectivelyRead next41Estimating CalculationsRead next42Prime Factorisation and Factor TreesRead next43Finding the Highest Common Factor (HCF)Read next44Finding the Lowest Common Multiple (LCM)Read next45Understanding and Using Powers of 10Read next46Performing Multi-Step CalculationsRead next47Identifying Common Exam Traps in Number TopicsRead next
Simplifying Algebraic Expressions
1Simplifying Algebraic ExpressionsRead next2Expanding Single BracketsRead next3Expanding Double BracketsRead next4Factorising Linear ExpressionsRead next5Factorising Quadratic ExpressionsRead next6Completing the SquareRead next7Substituting into ExpressionsRead next8Writing Formulae from Word ProblemsRead next9Rearranging FormulaeRead next10Understanding Algebraic IdentitiesRead next11Solving Linear EquationsRead next12Solving Quadratic Equations by FactorisingRead next13Solving Quadratic Equations Using the FormulaRead next14Solving Quadratic Equations by Completing the SquareRead next15Solving Simultaneous Equations AlgebraicallyRead next16Solving Simultaneous Equations GraphicallyRead next17Understanding InequalitiesRead next18Solving Linear InequalitiesRead next19Graphing Inequalities on a Number LineRead next20Sequences: Finding the nth TermRead next21Arithmetic SequencesRead next22Geometric SequencesRead next23Recognising Special SequencesRead next24Linear Graphs: Plotting from an EquationRead next25Finding the Equation of a Straight LineRead next26Understanding Gradient and InterceptRead next27Parallel and Perpendicular LinesRead next28Quadratic Graphs: Plotting from an EquationRead next29Finding Roots, Turning Points, and Axis of SymmetryRead next30Cubic Graphs: Plotting from an EquationRead next31Reciprocal GraphsRead next32Exponential GraphsRead next33Solving Equations Using GraphsRead next34Understanding Transformations of GraphsRead next35Sketching Graphs from TransformationsRead next36Using Algebra in Problem SolvingRead next37Using Algebra to Represent PatternsRead next38Finding Intersections of GraphsRead next39Using Algebra in Real-Life ContextsRead next40Exam Trap: Misinterpreting the Equals SignRead next41Exam Trap: Expanding Brackets IncorrectlyRead next42Exam Trap: Sign Errors in Rearranging EquationsRead next43Exam Trap: Forgetting to Check SolutionsRead next44Worked Example: Solving a Linear EquationRead next45Worked Example: Solving a Quadratic EquationRead next46Worked Example: Finding the nth Term of a SequenceRead next47Worked Example: Graphing a Quadratic FunctionRead next48Worked Example: Rearranging a FormulaRead next49Worked Example: Solving Simultaneous EquationsRead next
Understanding Ratios
1Understanding RatiosRead next2Simplifying RatiosRead next3Writing Ratios in the Form 1:nRead next4Writing Ratios in the Form n:1Read next5Dividing a Quantity in a Given RatioRead next6Using Ratios in Real-Life ContextsRead next7Converting Between Fractions, Decimals, and PercentagesRead next8Understanding ProportionRead next9Introduction to Direct ProportionRead next10Solving Direct Proportion ProblemsRead next11Direct Proportion in Real-Life ScenariosRead next12Introduction to Inverse ProportionRead next13Solving Inverse Proportion ProblemsRead next14Inverse Proportion in Real-Life ScenariosRead next15Understanding Percentage IncreaseRead next16Understanding Percentage DecreaseRead next17Calculating Percentage ChangeRead next18Reversing Percentage ChangesRead next19Working with Compound InterestRead next20Working with DepreciationRead next21Solving Problems with Repeated Percentage ChangesRead next22Understanding Rates of ChangeRead next23Interpreting Gradient as a Rate of ChangeRead next24Calculating Average Rates of ChangeRead next25Working with Speed as a Rate of ChangeRead next26Working with DensityRead next27Working with PressureRead next28Converting Between Units of SpeedRead next29Converting Between Units of DensityRead next30Converting Between Units of PressureRead next31Using Compound Units in Real-Life ProblemsRead next32Understanding the Relationship Between Ratios and FractionsRead next33Scaling Quantities Using RatiosRead next34Using Ratios in Map Scales and ModelsRead next35Interpreting Graphs of Direct ProportionRead next36Interpreting Graphs of Inverse ProportionRead next37Solving Multi-Step Problems with Ratios and ProportionsRead next38Identifying Misleading Proportional RelationshipsRead next39Using Proportional Reasoning in Exam QuestionsRead next40Common Errors in Ratio ProblemsRead next41Common Errors in Proportion ProblemsRead next42Common Errors in Percentage ProblemsRead next43Exam Practice: Ratios and ProportionsRead next44Exam Practice: PercentagesRead next45Exam Practice: Rates of ChangeRead next46Exam Practice: Compound UnitsRead next
Properties of Angles in Triangles
1Properties of Angles in TrianglesRead next2Properties of Angles in QuadrilateralsRead next3Angles in PolygonsRead next4Angles Around a PointRead next5Angles on a Straight LineRead next6Vertically Opposite AnglesRead next7Alternate and Corresponding AnglesRead next8Interior and Exterior Angles of PolygonsRead next9Classifying Triangles by Angles and SidesRead next10Properties of Special QuadrilateralsRead next11Circle Terminology: Radius, Diameter, ChordRead next12Circle Terminology: Tangent and SectorRead next13Reflection TransformationsRead next14Rotation TransformationsRead next15Translation Using VectorsRead next16Enlargement Using a Scale FactorRead next17Combining TransformationsRead next18Constructing Perpendicular BisectorsRead next19Constructing Angle BisectorsRead next20Constructing Triangles with a CompassRead next21Loci and RegionsRead next22Pythagoras’ Theorem: Finding the HypotenuseRead next23Pythagoras’ Theorem: Finding a Shorter SideRead next24Applications of Pythagoras’ TheoremRead next25Trigonometric Ratios: SineRead next26Trigonometric Ratios: CosineRead next27Trigonometric Ratios: TangentRead next28Using Trigonometry to Find Missing AnglesRead next29Using Trigonometry to Find Missing SidesRead next30Perimeter of Rectangles and SquaresRead next31Perimeter of Compound ShapesRead next32Area of Rectangles and SquaresRead next33Area of TrianglesRead next34Area of Parallelograms and TrapeziumsRead next35Area of Compound ShapesRead next36Circumference of a CircleRead next37Area of a CircleRead next38Arc Length and Sector AreaRead next39Surface Area of Cubes and CuboidsRead next40Surface Area of PrismsRead next41Surface Area of CylindersRead next42Volume of Cubes and CuboidsRead next43Volume of PrismsRead next44Volume of CylindersRead next45Converting Between Metric UnitsRead next46Using Scale DrawingsRead next47Vectors: Notation and RepresentationRead next48Adding and Subtracting VectorsRead next49Multiplying Vectors by ScalarsRead next50Geometric Proof Using VectorsRead next
What is Probability?
1What is Probability?Read next2The Probability ScaleRead next3Basic Probability NotationRead next4Calculating Simple ProbabilitiesRead next5The Sum of Probabilities RuleRead next6Complementary EventsRead next7Experimental vs Theoretical ProbabilityRead next8Calculating Relative FrequencyRead next9Interpreting Relative Frequency ResultsRead next10Using Relative Frequency to Predict OutcomesRead next11Sample Space DiagramsRead next12Creating Sample Space DiagramsRead next13Using Sample Space Diagrams to Find ProbabilitiesRead next14Independent Events DefinitionRead next15Calculating Probabilities for Independent EventsRead next16Dependent Events DefinitionRead next17Calculating Probabilities for Dependent EventsRead next18The Addition Rule for ProbabilitiesRead next19Mutually Exclusive EventsRead next20Using the Addition Rule for Mutually Exclusive EventsRead next21The Multiplication Rule for Independent EventsRead next22Using the Multiplication Rule in ProblemsRead next23Conditional Probability DefinitionRead next24Calculating Conditional ProbabilityRead next25Venn Diagrams BasicsRead next26Using Venn Diagrams to Represent EventsRead next27Finding Probabilities Using Venn DiagramsRead next28Tree Diagrams BasicsRead next29Constructing Tree DiagramsRead next30Using Tree Diagrams to Find ProbabilitiesRead next31Tree Diagrams for Independent EventsRead next32Tree Diagrams for Dependent EventsRead next33Common Errors with Tree DiagramsRead next34Probability Tables BasicsRead next35Using Probability Tables to Solve ProblemsRead next36Combining Multiple Probability RulesRead next37Interpreting Probability in ContextRead next38Common Mistakes in Probability QuestionsRead next39Exam Techniques for Probability QuestionsRead next40Real-Life Applications of ProbabilityRead next41Probability and Risk AssessmentRead next
Understanding Bar Charts
1Understanding Bar ChartsRead next2Drawing Bar ChartsRead next3Interpreting Bar ChartsRead next4Understanding Pie ChartsRead next5Drawing Pie ChartsRead next6Interpreting Pie ChartsRead next7Understanding PictogramsRead next8Drawing PictogramsRead next9Interpreting PictogramsRead next10Understanding Scatter GraphsRead next11Drawing Scatter GraphsRead next12Interpreting Scatter GraphsRead next13Understanding Frequency PolygonsRead next14Drawing Frequency PolygonsRead next15Interpreting Frequency PolygonsRead next16Calculating the MeanRead next17Calculating the MedianRead next18Calculating the ModeRead next19Calculating the RangeRead next20Choosing the Most Appropriate AverageRead next21Understanding Grouped DataRead next22Estimating the Mean from Grouped DataRead next23Finding the Modal ClassRead next24Finding the Median ClassRead next25Understanding Cumulative FrequencyRead next26Constructing Cumulative Frequency TablesRead next27Drawing Cumulative Frequency GraphsRead next28Interpreting Cumulative Frequency GraphsRead next29Finding the Median from Cumulative FrequencyRead next30Finding the Quartiles from Cumulative FrequencyRead next31Understanding Box PlotsRead next32Drawing Box PlotsRead next33Interpreting Box PlotsRead next34Comparing Data with Box PlotsRead next35Understanding HistogramsRead next36Drawing HistogramsRead next37Interpreting HistogramsRead next38Understanding Frequency DensityRead next39Calculating Frequency from HistogramsRead next40Comparing Data Sets Using AveragesRead next41Comparing Data Sets Using RangeRead next42Identifying Outliers in DataRead next43Recognising Misleading GraphsRead next44Choosing the Right Statistical ChartRead next45Understanding Data Collection MethodsRead next46Designing Questionnaires for Data CollectionRead next47Understanding Population and SampleRead next48Identifying Bias in Data CollectionRead next49Interpreting Real-Life Statistical DataRead next