GCSE and IGCSE

1. Converting fractions to recurring decimals
2. Converting recurring decimals to fractions
3. Recurring decimals (exam questions)
4. ‘Show that…’ fractions exam questions

1. Rounding and bounds
2. Accuracy, rounding and bounds (exam questions)

1. Prime Factors, HCF and LCM

0. Solving factorised equations (**NEW** 2021)
1. Factorising quadratics (monic)
2. Solving quadratics by factorising
3. Difference of two squares
4. Factorising and solving non-monic quadratics
5. Factorising quadratics using the calculator (**NEW** 2021)
6. The quadratic formula
7. Completing the square
8. Factorising quadratics (exam questions)
9. Solving quadratic equations (exam questions)
10. Quadratics in context (exam questions)
11. Solving quadratic equations on the calculator

ONLINE COURSE: Quadratic equations and inequalities – Mathsaurus course with teaching videos and worksheets with full video solutions

1. Multiplying out and factorising
2. Forming and solving linear equations
3. Changing the subject
4. Multiplying out brackets
5. Inequalities and shading regions (exam questions)
6. Inequalities (linear and quadratic)

1. Linear simultaneous equations
2. Quadratic simultaneous equations
3. Solving simultaneous equations on the calculator

1. Simplifying algebraic fractions
2. Multiplying and dividing algebraic fractions
3. Adding and subtracting algebraic fractions
4. Equations with algebraic fractions
5. Algebraic fractions (exam questions)

Direct and inverse proportion

1. Introduction to differentiation
2. Differentiation with negative and fractional indices
3. Equation of a tangent
4. Differentiation exam questions

ONLINE COURSE: Co-ordinate Geometry + Differentiation – Mathsaurus course with teaching videos and worksheets with full video solutions

1. Intro to functions
2. Functions examples
3. Compositions of functions
4. Inverse functions
5. Finding inverse functions
6. Domain and range
7. Functions exam questions

1. Plotting graphs
2. Straight line graphs y=mx+c
3. Plotting graphs using a table of values
4. Graphs you need to know
5. Plotting graphs (exam questions)
6. Using graphs to solve related equations
7. Harder graphs exam questions
8. Straight lines (exam questions)
8. Speed distance and time (exam questions)

1. Rules of indices
2. Fractional indices
3. Harder problems using indices
4. Indices exam questions

5. 2021 UPDATE: Rules of indices (all cases, including harder examples)

ONLINE COURSE: Indices, surds and logarithms – Mathsaurus course with teaching videos and worksheets with full video solutions

1. Intro to surds and taking out square factors
2. Multiplying surds
3. Rationalising surd denominators
4. Surds exam questions

2021 UPDATE:
1. Surds and simple rationalising
2. Harder rationalising of surds

ONLINE COURSE: Indices, surds and logarithms – Mathsaurus course with teaching videos and worksheets with full video solutions

1. Easier probability exam questions
2. Probability tree diagrams
3. Harder probability exam questions

1. Mean median and mode
2. Quartiles and Inter-Quartile Range (IQR)
3. Ungrouped frquency tables
4. Estimating the mean from a grouped frequency table
5. Frequency tables and cumulative frequency
6. Frequency tables exam questions
7. Histograms exam questions 1
8. Histograms exam questions 2

1. Sequences exam questions
2. Quadratic sequences
3*. Beyond quadratic sequences (extension)
4. Quadratic sequences exam questions

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1. Set notation and Venn diagrams
2. Venn diagrams – shading regions to represent sets
3. Set builder notation and some special sets
4. Venn diagrams and set theory (exam questions)

1. Bearings (exam questions)
2. Constructions – perpendicular bisector and angle bisector

1. Sector area and arc length of a circle
2. Sectors and segments (exam questions)
3. Circle theorems (exam questions)
4. Parallel line theorems (exam questions)

1. Scale factors and percentages
2. Compound scale factors, interest and depreciation
3. Reverse scale factors
4. Ratios percentages and scale factors
5. Scale factors in similar shapes
6. Area scale factors
7. Volume scale factors
8. Scale factors in similar shapes (exam questions)

1. Formulae for 2d shapes (exam questions)
2. Formulae for 3d shapes (exam questions)

1. Pythagoras’ Theorem
2. Proof of Pythagoras’ Theorem
3. Sin cos and tan – SOHCAHTOA
4. Trigonometry exam questions
5. Graphs of sin cos and tan
6. Equations with sin cos and tan

ONLINE COURSE: Trigonometry and trigonometric equations – Mathsaurus course with teaching videos and worksheets with full video solutions

1. The cosine rule
2. The sine rule (including the ambiguous case)
3*. Proof of the sine and cosine rules
4. Sine and cosine rule (exam questions)
5. Harder sine and cosine rule exam questions

ONLINE COURSE: Trigonometry and trigonometric equations – Mathsaurus course with teaching videos and worksheets with full video solutions

1. Vectors (exam questions)
2. Co-ordinate geometry (exam questions)
3. Transformations – translations, reflections, enlargements and rotations