GCSE and IGCSE

Below you can find teaching videos on all GCSE and IGCSE Mathematics topics.  There is also a page of  Past Papers for Edexcel IGCSE and another page with exam questions by topic.

Looking for a calculator for GCSE or IGCSE? Then get the Casio fx-991. You can buy it here (Amazon) or read more detail about this and other calculators in my complete guide to buying the right calculator for school mathematics.

Number – Assorted topics

1. Converting fractions to recurring decimals
2. Converting recurring decimals to fractions
3. Rounding and bounds
4. Rounding and bounds

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. Solving quadratic equations on the calculator

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

Algebra – Expressions, Equations and Inequalities

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

Algebra – Simultaneous Equations

1. Solving simultaneous equations on the calculator

Algebra – Algebraic Fractions


1. Simplifying algebraic fractions
2. Multiplying and dividing algebraic fractions
3. Adding and subtracting algebraic fractions
4. Equations with algebraic fractions

Algebra – Direct and Inverse Proportion

none available

Calculus – Differentiation (IGCSE)


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

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

Algebra – Functions


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

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. Using graphs to solve related equations

Algebra – Indices

1. Rules of indices
2. Fractional indices
3. Harder problems using indices

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

Algebra – Surds

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

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

Probability
  1. none currently available
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

Algebra – Sequences

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

ONLINE COURSE: Sequences and series, APs and GPS- Mathsaurus course with teaching videos and worksheets with full video solutions

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

Geometry – Bearings and constructions

1. none available

Geometry – Circles and parallel line theorems

1. Sector area and arc length of a circle

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

Formulae for 2d and 3d shapes

none available

Pythagoras’ Theorem and trigonometry

1. Pythagoras’ Theorem
2. Proof of Pythagoras’ Theorem
3. Sin cos and tan – SOHCAHTOA
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

Sine and cosine rules

1. The cosine rule
2. The sine rule (including the ambiguous case)
3*. Proof of the sine and cosine rules

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

Transformations, vectors and co-ordinate geometry

none available