| 1. Number, estimation and bounds |
| Prime factors, HCF, LCM | Watch | |
| Rounding and Bounds | | Watch |
| 2. Fractions, decimals, percentages and ratio |
| Recurring decimals | Watch | Converting fractions to recurring decimals
Converting recurring decimals to fractions |
| Fractions show that questions | Watch | |
| Ratio, percentages and scale factors | Watch | |
| 3. Indices, standard form and surds |
| Surds (Square Roots) | Watch | Multiplying surds, taking out square factors
Multiplying surd expressions
Rationalising denominators (surds) |
| Indices (Powers / Exponents) | Watch | rules of indices (powers), including negative indices
Fractional indices (powers)
Harder problems using indices |
| Standard form practice questions | Watch | |
| 4. Rates of change and proportion |
| Direct and Inverse proportion questions 1 | Watch | |
| Direct and inverse proportion questions 2 | Watch | |
| Speed distance and time practice questions | Watch | |
| 5. Algebraic manipulation, formulae and proof |
| Algebraic Fractions | Watch | Simplifying Algebraic Fractions
Multiplying and dividing algebraic fractions
Algebraic Fractions – Adding and Subtracting
Solving equations involving algebraic fractions |
| Mathematical Proof | Watch | |
| Easy Algebra 1 | Watch | |
| Easy Algebra 2 | Watch | |
| Multiplying Out and Factorising | Watch | Multiplying out brackets |
| 6. Quadratic Equations and Inequalities |
| Solving quadratics | Watch | Solving Factorised Equations – GSCE
Solving quadratics by factorising
The quadratic formula |
| Setting up and solving quadratics | Watch | Completing the Square – simple method to solve all problems |
| Inequalities practice questions | Watch | |
| Multiplying out and factorising quadratics practice questions | Watch | Factorising quadratics (monic)
Difference of Two Squares
Factorising and solving non monic quadratics |
| 7. Simultaneous Equations |
| Quadratic simultaneous equations practice questions | Watch | |
| Linear simultaneous equations practice questions | Watch | |
| 8. Factorising and solving equations with a calculator |
| Hard quadratic factorising made easy using the calculator | | Watch |
| Solve simultaneous + quadratic equations with the Classwiz fx-991 calculator (allowed in exams) | | Watch |
| 9. Sequences |
| Sequences practice questions (Note not 9-1 APs questions) | Watch | Find the nth term of a Quadratic Sequence 9-1
Beyond quadratic sequences – differencing polynomial sequences = differentiating functions |
| 10. Functions |
| Functions | Watch | Introduction to functions
Functions examples
Compositions of functions
Inverse functions
A method to find the inverse function
Domain and range of a function |
| 11. Graphs and coordinate geometry |
| Plotting graphs and solving related equations | Watch | |
| Harder graphs questions | Watch | Graphs you NEED to know |
| Plotting graphs (easy) | Watch | Plotting graphs
Plotting Graphs Using a Table of Values |
| Coordinate geometry | Watch | |
| Straight lines practice questions | Watch | Straight line graphs and the form y=mx+c |
| 12. Angles, polygons and constructions |
| Parallel lines | Watch | |
| Angles in polygons | Watch | |
| Constructions | Watch | |
| 13. Pythagoras, trigonometry and bearings |
| Harder Sine and Cosine Rules | Watch | |
| Sine and cosine rules, area of a triangle practice questions | Watch | Cosine Rule
Sine rule (including the ambiguous case)
Proof of sine and cosine rules |
| Basic Trigonometry | Watch | Sin Cos and Tan – Trigonometry – SOHCAHTOA
Graphs of sin cos and tan using the unit circle
Equations involving sin cos and tan |
| Bearings | Watch | |
| Proof of Pythagoras’ theorem | | Watch |
| 14. Circle theorems and circle geometry |
| Circle theorems practice questions | Watch | |
| Sectors and segments practice questions | Watch | Circles – Sector Area and Arclength |
| 15. Area, volume, surface area and scale factors |
| Scale factors in similar shapes | Watch | Scale factors and percentages
Compound Scale Factors, Interest and Depreciation
Reverse scale factors
Scale factors in similar shapes |
| Transformations practice questions | Watch | |
| 3d shapes practice questions | Watch | Area scale factors
Volume Scale Factors in 3d Shapes |
| Using formulae for 2d shapes | Watch | |
| 16. Statistics |
| Mean Median Mode | Watch | |
| Quartiles and IQR | Watch | |
| Frequency Tables | Watch | Ungrouped frequency tables |
| Grouped and cumulative frequency | Watch | Estimating the mean from a grouped frequency table |
| Histograms practice questions | Watch | |
| 17. Probability |
| Harder probability | Watch | |
| Sets practice questions | Watch | Intro to Set Notation and Venn Diagrams
Venn Diagrams – Shading Regions to Represent Sets
Set Builder Notation and Some Special Sets |
| Tree diagrams practice questions | Watch | |
| Easier probability | Watch | |
| 18. Vectors |
| Vectors | Watch | |
| 19. Differentiation and calculus (IGCSE only) |
| Calculus practice questions | Watch | Introduction to differentiation
Differentiation with negative and fractional indices
Finding the equation of a tangent to a curve |
| 20. Mixed revision question sets |
| Harder Revision A (2015 Papers) | Watch | |
| Harder Revision B (2015 Papers) | Watch | |
| Harder Revision C (2015 Papers) | Watch | |
| 21. Full Paper Walkthroughs |
| Long-form walkthroughs of real exam papers, taken question by question. Sixteen videos across six Edexcel IGCSE past and specimen papers. There is nothing to download for these, they are video only, and they are all waiting for you inside the free course. |
