• Indices and Surds

    Master the rules of indices and rationalising surds (square and cube roots) in all the cases that come up at GCSE, IGSCE and A-level

  • Logarithms

    Understand how to use logarithms, including the rules to manipulate and simplify them in more complicated problems

  • Solve challenging problems

    After solving a mixture of introductory GCSE and A-level style problems and harder maths challenge style problems, all with video solutions, you'll have really mastered the topics.

Hi, I'm Kevin, your teacher for this course!

I studied maths at Oxford University and learnt to teach at some of the UK's most prestigious private schools.  I'm also an experienced and highly sought after private tutor with a popular maths YouTube channel. I've created these Mathsaurus courses so you can learn to do maths like the very best on a fraction of the budget.

This course has been designed to replicate the experience of private tuition, with video hints and solutions as you work through the course that make it feel like you're in a real lesson.

I really enjoyed making this course and I hope that as well as learning a lot you're going to have fun along the way too. In the video introduction below I'll tell you more about the course.   Then if you're ready to get started  you can sign up for the free preview or the full course or learn more about it further down the page.

Reviews for Mathsaurus online courses

5 star rating

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!

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5 star rating

Nothing 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.

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5 star rating

Wish 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.

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This course is part of a bundle...

Get ready for A-level maths

Save money by signing up for the full bundle 'Get Ready for A-Level maths', containing 5 courses just like this one on a range of topics that will help you master the final stages of GCSE or IGCSE maths and get ready to start AS or A-level!
Get me ready!

Master the hardest parts of GCSE and IGCSE and get ahead with A-level maths topics.

In this course you'll learn about the rules of indices as well as how to rationalise surds in both simple and harder cases. You'll also learn about logarithms and the rules for manipulating them. Worksheets with full video solutions will guide you through problems of a range of difficulties, including routine examples to get the hang of the basics as well as some very tough challenge style problems that will stretch you to fully master the ideas..

  • Suitable for students at the end of GCSE/IGCSE or the start of A-level (usually ages 15-17).

  • 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.

Course curriculum

    1. Welcome to the course!

      FREE PREVIEW

    1. Rules of indices 1 - Integer powers

      FREE PREVIEW

    2. Rules of indices 2 - Fractional powers

      FREE PREVIEW

    3. Rules of indices 3 - Examples

      FREE PREVIEW

    4. Worksheet A1: Index laws, including negative and fractional indices

      FREE PREVIEW

    5. Upgrade to the full course to continue learning!

      FREE PREVIEW

    6. Question 1 Solution

    7. Question 2 Solution

    8. Question 3 Solution

    9. Question 4 Solution

    10. Question 5 Solution

    11. Question 6 Hint

    12. Question 6 Solution

    13. Question 7 Hint

    14. Question 7 Solution

    15. Question 8 Hint

    16. Question 8 Solution

    1. Simplifying surds

    2. Multiplying out surd expressions

    3. Rationalising simple surd expressions

    4. Worksheet A2: Surds - Introduction and simple rationalising

    5. Question 1

    6. Question 2

    7. Question 3

    8. Question 4

    9. Question 5

    10. Question 6 hint

    11. Question 6

    12. Question 7 Hint

    13. Question 7

    14. Question 8 hint

    15. Question 8

    16. Question 9 hint

    17. Question 9

    1. Difference of two squares for surds

    2. Harder rationalising of surds

    3. Worksheet A3 - Harder rationalising

    4. Question 1

    5. Question 2

    6. Question 3

    7. Question 4

    8. Question 5

    9. Question 6

    10. Question 7 Hint

    11. Question 7

    12. Question 8 Hint

    13. Question 8

    1. Introduction to logarithms

    2. Logarithms as an inverse function

    3. Harder Examples

    4. Worksheet A4 - Introduction to logarithms

    5. Question 1

    6. Question 2

    7. Question 3

    8. Question 4

    9. Question 5

    10. Question 6

    11. Question 7 hint

    12. Question 7

    13. Question 8 hint

    14. Question 8

    1. The addition rule of logarithms

    2. The subtraction rule of logarithms

    3. The power rule for logarithms

    4. Worksheet A5 - The rules of logarithms

    5. Question 1

    6. Question 2

    7. Question 3

    8. Question 4

    9. Question 5

    10. Question 6 hint

    11. Question 6

    12. Question 7 hint

    13. Question 7

About this course

  • £39.00
  • 74 lessons

Teacher

Kevin Olding

Kevin Olding is an experienced teacher and tutor, having worked for 7 years at two leading independent schools in London, and for over a decade as a private tutor. He holds a First Class MMATH Mathematics degree from Magdalen College, Oxford, an MSc in Applied Statistics from Birkbeck, University of London (Distinction and prize for best overall performace), MRes in Statistical Applied Mathematics (Distinction and soon PhD) from the University of Bath, as well as a degree in Law. He is also the creator of the Mathsaurus YouTube channel, which has tens of thousands of subscribers and millions of video views.

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