**Get ready for A-level maths – a bundle of 5 short courses to help you master the end of GCSE+IGCSE maths and get started with A-level maths**

5 strands (teaching videos free):

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.

## Number – Fractions and Decimals

## Number – Rounding and Bounds

## Number – Primes, 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

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

## Algebra – Expressions, Equations and Inequalities

## Algebra – Simultaneous Equations

## Algebra – Direct and Inverse Proportion

## Calculus – Differentiation (IGCSE)

## Algebra – Functions

## 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

## Algebra – Surds

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

## Geometry – Bearings and constructions

## Geometry – Circles and parallel line theorems

## Formulae for 2d and 3d shapes

## 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

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

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