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IGCSE/Cambridge/O-Level/Math
Math
0580 · Explore the syllabus before deciding how you want to study.
9chapters
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Course syllabus
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The course follows a clear chapter, subtopic, and lesson structure. Open a chapter to preview what you will cover.
01 Number16 topics ⌄
Types of Numbers4 lessons⌄
- Types of Number
- Multiples, Factors & Primes
- Squares, Cubes & Roots
- Reciprocals
Reading & Ordering Numbers3 lessons⌄
- Place Value
- Negative & Directed Numbers
- Ordering Numbers
Operations with Numbers & Decimals5 lessons⌄
- Mathematical Symbols
- Order of Operations (BIDMAS/BODMAS)
- Addition & Subtraction
- Multiplication & Division
- Operations with Decimals
Prime Factors, HCF & LCM2 lessons⌄
- Prime Factor Decomposition
- HCF & LCM
Powers, Roots & Standard Form4 lessons⌄
- Powers & Roots
- Laws of Indices
- Converting to & from Standard Form
- Operations with Standard Form
Introduction to Fractions4 lessons⌄
- Introduction to Fractions
- Fractions of Amounts
- Equivalent & Simplified Fractions
- Mixed Numbers & Improper Fractions
Operations with Fractions2 lessons⌄
- Adding & Subtracting Fractions
- Multiplying & Dividing Fractions
Percentages3 lessons⌄
- Percentages of Amounts
- Percentage Increases & Decreases
- Percentage Change
Simple & Compound Interest2 lessons⌄
- Simple Interest
- Compound Interest
Fractions, Decimals & Percentages2 lessons⌄
- Converting Fractions, Decimals & Percentages
- Ordering Fractions, Decimals & Percentages
Ratio & Proportion5 lessons⌄
- Introduction to Ratios
- Equivalent & Simplified Ratios
- Sharing in a Ratio
- Problem Solving with Ratios
- Direct & Inverse Proportion
Money Calculations1 lesson⌄
- Money Calculations
Time, Currency & Conversions4 lessons⌄
- Time
- Exchange Rates
- Converting between Units
- Squared & Cubic Units
Compound Measures2 lessons⌄
- Compound Measures
- Speed, Density & Pressure
Rounding, Estimation & Bounds4 lessons⌄
- Rounding to a Given Place Value
- Rounding to Significant Figures
- Estimation
- Upper & Lower Bounds
Using a Calculator1 lesson⌄
- Using a Calculator
02 Algebra & Sequences8 topics ⌄
Introduction to Algebra4 lessons⌄
- Algebraic Notation
- Algebraic Vocabulary
- Substitution
- Collecting Like Terms
Algebraic Roots & Indices1 lesson⌄
- Algebraic Roots & Indices
Expanding & Factorising Brackets3 lessons⌄
- Expanding & Simplifying Single Brackets
- Expanding Double Brackets
- Factorising Out Terms
Linear Equations5 lessons⌄
- Solving Linear Equations
- Equations with Brackets & Fractions
- Equations with Unknowns on Both Sides
- Forming Equations from Words
- Forming Equations from Shapes
Inequalities2 lessons⌄
- Interpreting Inequalities
- Representing Inequalities on a Number Line
Rearranging Formulas1 lesson⌄
- Rearranging Formulas
Simultaneous Equations2 lessons⌄
- Solving Simultaneous Equations
- Forming Simultaneous Equations
Sequences4 lessons⌄
- Introduction to Sequences
- Continuing Sequences
- nth Terms of Linear Sequences
- Quadratic & Cubic Sequences
03 Coordinate Geometry & Graphs3 topics ⌄
Linear Graphs5 lessons⌄
- Coordinates
- Gradient of a Line
- Equations of Straight Lines (y = mx + c)
- Drawing Straight Line Graphs
- Parallel Lines
Further Graphs3 lessons⌄
- Types of Graphs
- Drawing Graphs from Tables
- Solving Equations from Graphs
Real-Life Graphs3 lessons⌄
- Conversion Graphs
- Distance-Time Graphs
- Speed-Time Graphs
04 Geometry5 topics ⌄
Symmetry & Shapes7 lessons⌄
- Introduction to Lines & Angles
- Rotational Symmetry
- Lines of Symmetry
- Properties of Polygons
- Properties of Circles
- Properties of 3D Shapes
- Nets of Solids
Basic Angle Properties3 lessons⌄
- Angles around Points & Lines
- Angles in Triangles
- Angles in Quadrilaterals
Angles in Polygons & Parallel Lines2 lessons⌄
- Angles in Polygons
- Angles in Parallel Lines
Bearings, Constructions & Scale Drawings3 lessons⌄
- Bearings
- Scale
- Constructing Triangles
Circle Theorems2 lessons⌄
- Angle in a Semicircle
- Tangent & Radius
05 Lengths, Areas & Volumes4 topics ⌄
Area & Perimeter4 lessons⌄
- Perimeter
- Area
- Adding & Subtracting Areas
- Problem Solving with Areas
Circles, Arcs & Sectors2 lessons⌄
- Area & Circumference of Circles
- Arc Lengths & Sector Areas
Volume & Surface Area3 lessons⌄
- Volume
- Problem Solving with Volumes
- Surface Area
Congruence & Similarity3 lessons⌄
- Congruence
- Similarity
- Similar Lengths
06 Pythagoras & Trigonometry2 topics ⌄
Pythagoras1 lesson⌄
- Pythagoras Theorem
Trigonometry2 lessons⌄
- Trigonometry to Find Lengths
- Trigonometry to Find Angles
07 Transformations1 topic ⌄
Transformations4 lessons⌄
- Translations
- Reflections
- Rotations
- Enlargements
08 Probability2 topics ⌄
Basic Probability3 lessons⌄
- Basic Probability
- Possibility (Sample Space) Diagrams
- Relative & Expected Frequency
Set Notation & Probability Diagrams5 lessons⌄
- Two-Way Tables
- Set Notation & Venn Diagrams
- Probabilities from Venn Diagrams
- Probability Tree Diagrams
- Combined Probability
09 Statistics3 topics ⌄
Averages & Range6 lessons⌄
- Mean, Median & Mode
- Calculations with the Mean
- Range
- Averages from Tables
- Comparing Data Sets
- Discrete & Continuous Data
Statistical Diagrams6 lessons⌄
- Stem & Leaf Diagrams
- Tally Charts & Frequency Tables
- Bar Charts & Pictograms
- Pie Charts
- Reading & Interpreting Statistical Diagrams
- Comparing Statistical Diagrams
Scatter Graphs & Correlation2 lessons⌄
- Scatter Graphs & Correlation
- Lines of Best Fit
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