Get Ready to Start A-Level Maths

All Access Membership Course

Get Ready to Start A-Level Maths

This course is perfect for students who have finished or are in the later stages of GCSE or IGCSE maths and are preparing to start or want a taster of A-Level maths.

You will revisit some of the hardest GCSE topics that are most relevant for A-Level, build on what you know and explore new topics that follow on from them.

The course contains many worksheets at an A-Level standard, but there are also some very challenging problems in each worksheet that will test the most advanced students.

Start My 3-Day Free Trial Now

Don't just take my word for it!

Tim and many more students have used this course to get a 9 at IGCSE maths and to make the step up to A-Level!

Step Up to A-Level with Confidence

This course covers a big chunk of the first year of A-Level pure maths. It's perfect for students who have finished or are in the later stages of GCSE or IGCSE maths and are preparing to start or want a taster of A-Level maths.

You will revisit some of the hardest GCSE topics that are most relevant for A-Level, build on what you know and explore new topics that follow on from them.

I taught A-Level maths to hundreds of students at London's top schools and have written every question in this course myself.

There are video tutorials and worksheets on every topic (most with video solutions) covering a range of problems.

Most of the problems are of A-Level standard, but there are also some very challenging ones that will test the most advanced students taking A-Level Further Maths or preparing for the Senior Maths Challenge.

CURRICULUM

Everything You Need to Start A-Level

Get Ready to Start A-Level Maths

Rules of indices 1 - Integer powers

Rules of indices 2 - Fractional powers

Rules of indices 3 - Examples

Worksheet A1: Index laws, including negative and fractional indices

Question 1 Solution

Question 2 Solution

Question 3 Solution

Question 4 Solution

Question 5 Solution

Question 6 Hint

Question 6 Solution

Question 7 Hint

Question 7 Solution

Question 8 Hint

Question 8 Solution

Simplifying surds

Multiplying out surd expressions

Rationalising simple surd expressions

Worksheet: Surds - Introduction and simple rationalising

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

Question 9 hint

Question 9

Difference of two squares for surds

Harder rationalising of surds

Worksheet - Harder rationalising

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 Hint

Question 7

Question 8 Hint

Question 8

Factorising quadratics

Factorising examples

Disguised quadratics

Worksheet: Factorising quadratics and disguised quadratics

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

Completing the square

Solving equations using completed square form

The graph of a quadratic

Using the calculator

Worksheet: Completing the square and the graph of a quadratic

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6 hint

Question 6

The Quadratic Formula and the Discriminant of a Quadratic

Copy of Repeated roots

Worksheet - 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

Linear Simultaneous Equations

Worksheet: Simultaneous Equations (Linear)

Solutions: Simultaneous Equations (Linear)

Worksheet: Simultaneous Equations - Linear and Quadratic

Solutions: Simultaneous Equations - Linear and Quadratic

Simultaneous Equations - Linear and Quadratic

Distance between two points

Midpoint of two points

Gradient of a line segment

Parallel and perpendicular lines

Worksheet: Intro to co-ordinate geometry

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8 Hint

Question 8

Question 9 Hint

Question 9

The equation of a straight line in the form y-y1=m(x-x1)

Other forms of the equation of a straight line

Finding a perpendicular line

Worksheet: Straight lines and their equations

Question 1

Question 2

Question 3

Question 4

Question 5 Hint

Question 5

Question 6 Hint

Question 6

Question 7 Hint

Question 7

Question 8 Hint

Question 8

Sketching polynomials from their roots

Polynomials with repeated roots

The shape of standard polynomials

Worksheet - 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

Quadratic inequalities

Harder quadratic inequalities

Polynomial inequalities

Worksheet - 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

More about your teacher for this course:

Dr Kevin Olding

Kevin Olding is the creator of Mathsaurus. He has a First Class MMATH Mathematics degree from Magdalen College, Oxford and a PhD from the University of Bath, as well as an MSc in Applied Statistics from Birkbeck, University of London (Distinction and prize for best overall performance), an MRes in Statistical Applied Mathematics from the University of Bath, and a degree in Law. Before creating Mathsaurus, Kevin taught maths in London at Westminster School and Dulwich College and also at Birkbeck College (University of London).

Sign up and Get Started Now

This course is available as part of the All-Access Membership.

Start My 3-Day Free Trial Now