Get ready for A-level maths – all 70+ teaching videos now included in FREE preview section!

Below you can find teaching videos on all GCSE and IGCSE Mathematics topics.  There is also a page of  Past Papers for Edexcel IGCSE  which includes video solutions for 3 full practice papers for the new 9-1 syllabus and another page of practice exam questions by topic with video solutions!

The Casio fx-991 is the calculator I would recommend for GCSE and IGCSE examinations. You can buy it here or read more detail about this and other calculators in my complete guide to buying the right calculator for school mathematics.

Looking for a maths tutor? Visit the Tutorfair website to find a great online or in person maths tutor. (Please contact me here instead if you are interested in tuition with me.)

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Number – Fractions and Decimals

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

Number – Rounding and Bounds

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

Number – Primes, HCF and LCM

1. Prime Factors, HCF and LCM

Algebra – Quadratics

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

Algebra – Expressions, Equations and Inequalities

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)

Algebra – Simultaneous Equations

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

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Algebra – Algebraic Fractions


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)

Algebra – Direct and Inverse Proportion

Direct and inverse proportion

Calculus – Differentiation (IGCSE)


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

Algebra – Functions


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

Algebra – Graphs


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)

Algebra – Indices

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)

Algebra – Surds

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

Probability

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

Statistics


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

Algebra – Sequences

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

Set theory and Venn diagrams

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)

Geometry – Bearings and constructions

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

Geometry – Circles and parallel line theorems

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)

Scale factors


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)

Formulae for 2d and 3d shapes

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

Pythagoras’ Theorem and trigonometry

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

Sine and cosine rules

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

Transformations, vectors and co-ordinate geometry

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