Your journey to excellence in
By Revision Genie
Number
Unit 1
Ordering Integers and Decimals
Ordering Fractions
Using Inequality Symbols
Adding and Subtracting Integers
Multiplying and Dividing Integers
Formal Written Methods for Addition and Subtraction
Formal Written Methods for Multiplication and Division
Adding and Subtracting Decimals
Multiplying and Dividing Decimals
Adding and Subtracting Fractions
Multiplying and Dividing Fractions
Working with Mixed Numbers
Understanding Place Value
Calculating with Large and Small Numbers
Using Inverse Operations
Order of Operations (BIDMAS/BODMAS)
Understanding Prime Numbers
Identifying Factors and Multiples
Finding the Highest Common Factor (HCF)
Finding the Lowest Common Multiple (LCM)
Prime Factorisation and Product Notation
Systematic Listing Strategies
Understanding Powers and Roots
Calculating with Integer Indices
Simplifying Surds
Rationalising Denominators
Calculating with Standard Form
Converting Between Standard Form and Ordinary Numbers
Ordering Numbers in Standard Form
Converting Fractions to Decimals
Converting Decimals to Fractions
Converting Percentages to Fractions
Converting Fractions to Percentages
Converting Decimals to Percentages
Fractions in Ratio Problems
Using Percentages as Operators
Using Standard Units of Measure
Estimating Answers
Approximating Calculations
Rounding to Decimal Places
Rounding to Significant Figures
Using Inequality Notation for Error Intervals
Understanding Limits of Accuracy
Calculating Upper and Lower Bounds
Unit 2
Algebra
Understanding Algebraic Notation
Substituting Values into Expressions
Simplifying Algebraic Expressions
Expanding Single Brackets
Expanding Double Brackets
Factorising Linear Expressions
Factorising Quadratic Expressions
Factorising the Difference of Two Squares
Understanding and Using the Laws of Indices
Rearranging Formulae to Change the Subject
Identifying Expressions, Equations, and Identities
Interpreting Functions as Inputs and Outputs
Working with Coordinates in Four Quadrants
Plotting Straight-Line Graphs
Understanding Gradient and Intercept in y = mx + c
Finding the Equation of a Line from Two Points
Identifying Parallel and Perpendicular Lines
Sketching and Interpreting Quadratic Graphs
Sketching Simple Cubic and Reciprocal Graphs
Recognising and Sketching Exponential Graphs
Solving Linear Equations with One Unknown
Solving Linear Equations with Unknowns on Both Sides
Solving Quadratic Equations by Factorising
Solving Quadratic Equations Using the Formula
Solving Quadratic Equations by Completing the Square
Solving Simultaneous Linear Equations Algebraically
Solving Simultaneous Linear Equations Graphically
Solving Linear and Quadratic Simultaneous Equations
Solving Linear Inequalities in One Variable
Representing Inequalities on a Number Line
Solving Quadratic Inequalities
Representing Inequalities on Graphs
Generating Sequences from Term-to-Term Rules
Generating Sequences from Position-to-Term Rules
Recognising Arithmetic Sequences
Recognising Geometric Sequences
Recognising Fibonacci-Type Sequences
Finding the nth Term of Linear Sequences
Finding the nth Term of Quadratic Sequences
Sketching Translations of Functions
Sketching Reflections of Functions
Using Graphs to Solve Real-World Problems
Calculating Gradients of Non-Linear Graphs
Finding Areas Under Graphs
Understanding the Equation of a Circle
Finding Tangents to a Circle
Translating Word Problems into Algebra
Using Algebra to Solve Real-Life Scenarios
Unit 3
Ratio, Proportion, and Rates of Change
Converting Between Units of Measure
Using Compound Units
Understanding Scale Factors
Interpreting Scale Diagrams and Maps
Expressing Quantities as Fractions
Simplifying Ratios
Dividing Quantities in Ratios
Real-World Ratio Problems
Relating Ratios to Fractions
Understanding Proportion as Equality of Ratios
Direct Proportion in Algebra
Inverse Proportion in Algebra
Graphical Representations of Proportion
Interpreting Gradient as Rate of Change
Percentage Basics and Definitions
Percentage Increase and Decrease
Original Value Problems with Percentages
Working with Percentages Greater Than 100%
Simple Interest Calculations
Compound Interest Problems
Growth and Decay Problems
Iterative Processes in Growth and Decay
Unit Pricing Problems
Density and Pressure Calculations
Comparing Lengths with Ratios
Comparing Areas with Ratios
Comparing Volumes with Ratios
Links Between Ratios and Similarity
Trigonometric Ratios and Scale Factors
Understanding Inversely Proportional Relationships
Constructing Direct Proportion Equations
Constructing Inverse Proportion Equations
Graphing Direct and Inverse Proportion
Instantaneous Rate of Change on Curves
Average Rate of Change in Graphs
Unit 4
Geometry and Measures
Conventional Terms and Notation
Drawing Diagrams from Descriptions
Ruler and Compass Constructions
Perpendicular Bisector of a Line Segment
Constructing Perpendiculars to a Line
Bisecting Angles
Solving Loci Problems
Angles at a Point
Angles on a Straight Line
Vertically Opposite Angles
Alternate and Corresponding Angles
Angle Sum in a Triangle
Angle Sum in Polygons
Properties of Regular Polygons
Special Quadrilaterals and Definitions
Congruence Criteria for Triangles
Triangle Congruence and Simple Proofs
Isosceles Triangle Base Angles
Constructing Congruent Shapes
Constructing Similar Shapes
Transformations: Rotation
Transformations: Reflection
Transformations: Translation
Transformations: Enlargement
Fractional and Negative Scale Factors
Circle Definitions and Properties
Circle Theorems and Proofs
Geometrical Problems on Coordinate Axes
Properties of 3D Shapes
Plans and Elevations of 3D Shapes
Standard Units of Measure
Measuring Line Segments and Angles
Interpreting Maps and Scale Drawings
Using Bearings in Geometry
Area of Triangles and Parallelograms
Area of Trapezia
Volume of Cuboids and Prisms
Circumference of a Circle
Area of a Circle
Perimeters of Composite Shapes
Surface Area of Spheres and Pyramids
Volume of Spheres and Cones
Arc Lengths and Sector Areas
Congruence and Similarity Relationships
Pythagoras' Theorem
Trigonometric Ratios
Exact Trigonometric Values
The Sine Rule
The Cosine Rule
Area of a Triangle Using Sine
Describing Translations with Vectors
Adding and Subtracting Vectors
Multiplying Vectors by Scalars
Column Representations of Vectors
Geometric Arguments Using Vectors
Unit 5
Probability
Frequency Tables for Experiments
Using Frequency Trees
Randomness and Fairness in Probability
Equally Likely Events
Expected Outcomes of Experiments
Relative Frequencies and Theoretical Probability
The Probability Scale (0-1)
Probabilities Adding to One
Mutually Exclusive Events
Empirical Samples vs Theoretical Distributions
Using Tables for Enumeration
Grids for Set Combinations
Venn Diagrams in Probability
Tree Diagrams for Probability
Constructing Possibility Spaces
Single Experiments with Equally Likely Outcomes
Combined Experiments with Equally Likely Outcomes
Calculating Independent Event Probabilities
Dependent Events and Tree Diagrams
Assumptions in Combined Events
Conditional Probability Basics
Conditional Probability with Two-Way Tables
Conditional Probability Using Tree Diagrams
Conditional Probability with Venn Diagrams
Common Exam Traps in Probability
Interpreting Probability Questions
Using Probability in Real-Life Contexts
Unit 6
Statistics
Understanding Sampling Limitations
Inferring Properties from a Sample
Interpreting Frequency Tables
Constructing Frequency Tables
Interpreting Bar Charts
Constructing Bar Charts
Interpreting Pie Charts
Constructing Pie Charts
Interpreting Pictograms
Constructing Pictograms
Using Vertical Line Charts
Interpreting Time Series Data
Constructing Tables for Time Series Data
Interpreting Grouped Frequency Tables
Constructing Grouped Frequency Tables
Understanding Histograms with Equal Intervals
Understanding Histograms with Unequal Intervals
Constructing Histograms
Interpreting Histograms
Understanding Cumulative Frequency Graphs
Constructing Cumulative Frequency Graphs
Interpreting Cumulative Frequency Graphs
Graphical Representation of Discrete Data
Graphical Representation of Continuous Data
Graphical Representation of Grouped Data
Calculating the Mean
Calculating the Median
Calculating the Mode
Finding the Modal Class
Calculating the Range
Identifying and Considering Outliers
Understanding Quartiles and Interquartile Range
Calculating Quartiles and Interquartile Range
Interpreting Box Plots
Constructing Box Plots
Comparing Data Distributions
Describing a Population with Statistics
Using Scatter Graphs for Bivariate Data
Recognizing Correlation in Scatter Graphs
Understanding Correlation vs Causation
Drawing Estimated Lines of Best Fit
Making Predictions with Scatter Graphs
Interpolating Trends in Scatter Graphs
Extrapolating Trends in Scatter Graphs
Understanding Risks of Extrapolation