Below you can view free videos about A-level mathematics organised by the chapters in the current A-level textbooks. The content is very similar for all exam boards for single maths A-level.

Some of the videos from the earlier chapters may be labelled as GCSE/IGCSE or Add Maths as there is an overlap between these courses.

## Chapter 1 Problem solving

## Chapter 2 Surds and Indices

## Chapter 3 Quadratic Functions

0. GCSE Quadratics topics

1. The Discriminant

2. Completing the square (monic)

3. Completing the square (non-monic)

4. Completing the square (general)

5. Advanced quadratics (inc proof of the formula)

6. Exam questions by topic – quadratic functions part 1

7. Exam questions by topic – quadratic functions part 2

8. Exam questions by topic – modelling with quadratics

You can also buy a copy of the textbook for your syllabus below (OCR A, AQA, MEI):

## Chapter 4 Equations and Inequalities

## Chapter 5 Coordinate Geometry

1. Midpoint of two points

2. Dividing points in a ratio

3. Distance between two points

4. Equations of straight lines

5. Parallel and perpendicular lines

6. Perpendicular bisectors (two methods)

7. Equation of a circle

8. Finding the centre and radius

9. Exam questions by topic – straight lines

10. Exam questions by topic – circles part 1

11. Exam questions by topic – circles part 2

## Chapter 6 Trigonometry

0. GCSE Trigonometry

1. Graphs of sin cos and tan using the unit circle

2. Proving two useful trig identities

3. Using identities to solve equations

4a. Exam questions – trig identities and equations part 1

4b. Exam questions – trig identities and equations part 2

5. Cosine rule

6. Sine rule including the ambiguous case

7*. Proof of sine and cosine rules

## Chapter 7 Polynomials

## Chapter 8 Graphs and transformations

more content coming soon