Master the hardest parts of GCSE and IGCSE and get ahead with Alevel maths topics.
In this course you'll learn about quadratic equations, including other polynomials that are quadratics 'in disguise'. You'll learn about completing the square, the discriminant and how to solve quadratic inequalities. You will also learn how to use the roots of quadratics and higher order polynomials to be able to sketch their graphs.

Suitable for students at the end of GCSE/IGCSE or the start of Alevel (usually ages 1517).

Learn by doing  as well as video introductions, each of the 5 chapters is organised around a contains an original downloadable worksheet.

Each worksheet has a range of easier and harder questions as well as some 'starred' questions to stretch the strongest students.

Every question in each worksheet has a fully explained video solution.

Free preview sections available after logging in (no payment details needed).

Available 24/7, go at your own pace. No ads, no distractions.
Reviews for Mathsaurus online courses
Sine and Cosine Rules
Joseph Donovan
A challenging topic delivered with searing exposition and clarity. Makes you fall in love with maths and want to do nothing all day but maths!
A challenging topic delivered with searing exposition and clarity. Makes you fall in love with maths and want to do nothing all day but maths!
Read LessNothing like it
Divij Divij
Amazing content and great user interface of the website, made it easy to navigate and answer through the questions.
Amazing content and great user interface of the website, made it easy to navigate and answer through the questions.
Read LessWish we had this course years ago
patrick ludden
This is a fantastic course and my children and I are really enjoying the material and looking forward to more great learning.
This is a fantastic course and my children and I are really enjoying the material and looking forward to more great learning.
Read Less
£19.00
£19.00Quadratic equations and inequalities
1 Year enrolment 
£29.00
£29.00Quadratic equations and inequalities
2 Year enrolment 
£39.00
£39.00Quadratic equations and inequalities
Unlimited enrolment
This course is also available as part of a bundle...
Get ready for Alevel maths
Course curriculum
Free preview includes teaching videos for all 25 modules.

1
Welcome to the course

2
Factorising quadratics and disguised quadratics

Factorising quadratics
FREE PREVIEW 
Factorising examples
FREE PREVIEW 
Disguised quadratics
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet B1: Factorising quadratics and disguised quadratics
FREE PREVIEW 
Question 1

Question 2

Question 3

Question 4

Question 5

Question 6 Hint

Question 6

Question 7 Hint

Question 7

Question 8 Hint

Question 8


3
Completing the square and the graph of a quadratic

Completing the square
FREE PREVIEW 
Solving equations using completed square form
FREE PREVIEW 
The graph of a quadratic
FREE PREVIEW 
Using the calculator
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet B2: Completing the square and the graph of a quadratic

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6 hint

Question 6


4
The discriminant of a quadratic

The discriminant of a quadratic
FREE PREVIEW 
Repeated roots
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet B3  The discriminant of a quadratic

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8 Hint

Question 8

Question 9 Hint

Question 9


5
Sketching the graphs of polynomials from their roots

Sketching polynomials from their roots
FREE PREVIEW 
Polynomials with repeated roots
FREE PREVIEW 
The shape of standard polynomials
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet B4  Sketching the graphs of polynomials from their roots

Question 1

Question 2

Question 3abcd

Question 3efgh

Question 4 hint

Question 4

Question 5 hint

Question 5

Question 6 hint

Question 6


6
Quadratic (and other) inequalities

Quadratic inequalities
FREE PREVIEW 
Harder quadratic inequalities
FREE PREVIEW 
Polynomial inequalities
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet B5  Quadratic (and other) inequalities

Question 1

Question 2

Question 3

Question 4

Question 5 hint

Question 5

Question 6 hint

Question 6

Question 7 hint

Question 7

Teacher
Kevin Olding
FAQ

Is this course suitable for a student who has already taken IGCSE Further Maths or OCR FSMQ Add Maths?
No  much of the content of this course is also covered in these qualifications. The course has been designed to give most benefit to a student who has just taken GCSE or IGCSE maths and is preparing for Alevel or any course that follows directly on from GCSE. It would be a great course for someone about to take one of these qualifications though, so long as they have mostly covered GCSE/GCSE maths already.

How long will my enrolment last?
Access to the course lasts for one year or two years depending on the option chosen.

I have another question you have not answered here
Please use the email link in my instructor bio below to get in touch.