Master the hardest parts of GCSE and IGCSE and get ahead with Alevel 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 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
£19.00Indices Surds and Logarithms
1 Year enrolment 
£29.00
£29.00Indices Surds and Logarithms
2 Year enrolment 
£39.00
£39.00Indices Surds and Logarithms
Unlimited enrolment
This course is also available as part of a bundle...
Get ready for Alevel maths
Course curriculum

1
Welcome to the course

2
Index laws, including negative and fractional indices

Rules of indices 1  Integer powers
FREE PREVIEW 
Rules of indices 2  Fractional powers
FREE PREVIEW 
Rules of indices 3  Examples
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet A1: Index laws, including negative and fractional indices
FREE PREVIEW 
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


3
Surds  Introduction and simple rationalising

Simplifying surds
FREE PREVIEW 
Multiplying out surd expressions
FREE PREVIEW 
Rationalising simple surd expressions
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet A2: 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


4
Surds  Harder rationalising

Difference of two squares for surds
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Harder rationalising of surds
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You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet A3  Harder rationalising

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 Hint

Question 7

Question 8 Hint

Question 8


5
Introduction to logarithms

Introduction to logarithms
FREE PREVIEW 
Logarithms as an inverse function
FREE PREVIEW 
Harder Examples
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet A4  Introduction to logarithms

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 hint

Question 7

Question 8 hint

Question 8


6
The rules of logarithms

The addition rule of logarithms
FREE PREVIEW 
The subtraction rule of logarithms
FREE PREVIEW 
The power rule for logarithms
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet A5  The rules of logarithms

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6 hint

Question 6

Question 7 hint

Question 7

Teacher
Kevin Olding