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)

Updated content can be found in:

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

**Chapter 4 Equations and Inequalities**

No YouTube videos but take a look at:

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

**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

Updated content is available in:

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

**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

4. Cosine rule

5. Sine rule including the ambiguous case

6*. Proof of sine and cosine rules

Updated content is available in:

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

**Chapter 7 Polynomials**

**Chapter 8 Graphs and transformations**

more content coming soon

**Chapter 10 Differentiation**

1. Introduction to differentiation

2. Differentiating polynomials

3. Harder examples

4. Equation of a tangent

5. Equation of a normal

6. Differentiation from first principles

7. First principles – polynomial, square root and reciprocal functions

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

**Chapter 20 Forces and Newton’s laws of motion**

**Chapter 21 Variable Acceleration**

**Mechanics Exam Questions**

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