## About the course

This Cambridge Mathematics IGCSE Extended course on numbers will provide you with an extensive understanding of numbers. Designed for those aiming for grades between A* and E, it makes learning straightforward, teaching you everything you need to know to gain a prestigious qualification.

Making it easy to learn from any location, the only equipment you need for this course is a computer with an internet connection, a calculator, a notepad and pen.

By the time you have completed this Cambridge Mathematics IGCSE Extended course on numbers, you will be in good stead to take the next step in your education or career.

## What to expect

This Cambridge Mathematics IGCSE Extended course on numbers is broken down into various sections, lessons and steps, with each being on a specific area of knowledge.

Work your way through each section at your own pace, entering your answers to questions, to have them marked in real-time and correct any mistakes. This interactive method of learning makes it easy to ensure you fully understand before marking each topic as complete.

The progress bar highlights your course completion percentage as you work your way through each stage, making learning enjoyable, simple and fun.

## Benefits

- Teaches a comprehensive understanding of numbers
- Broken down into manageable sections
- Makes it easy to learn with minimal equipment
- Enter your answers and mark them as you progress
- Allows you to further your understanding of mathematics
- Learn at your own pace

#### Course Materials

#### Directed Numbers: Fractions

- Topic - Additions of Directed Fractions: Same Denominators
- Topic - Additions of Directed Fractions: Different Denominators 1
- Topic - Additions of Directed Fractions: Different Denominators 2
- Topic - Additions of Directed Mixed Numbers
- Topic - Multiplications of Directed Fractions
- Topic - Multiplications of Directed Mixed Numbers
- Topic - Divisions of Directed Fractions
- Topic - Divisions of Directed Mixed Numbers

#### Index Notation

- Video - Power and Indices (9:27)
- Video - Introduction to Index Notation (8:43)
- Video - Index Notation and Expanded Notation (1:28)
- Video - Writing Index Notation from Wording (1:33)
- Video - Index Form (6:45)
- Video - Equations involving Indices (1:45)
- Video - Conversion Index Form in Power of Tens to Normal Numbers (7:02)
- Video - Conversion Normal Numbers to Index Form in Power of Tens (6:13)
- Topic - Expanded Form to Index Form
- Topic - Index Form to Expanded Form

#### Integers

- Topic - Additions and Subtractions of Integers 1
- Topic - Additions and Subtractions of Integers 2
- Topic - Additions and Subtractions of Integers 3
- Topic - Multiplications and Divisions of Integers
- Topic - Order of Operations of Integers involving Multiplications
- Topic - Order of Operations of Integers involving Divisions
- Topic - Order of Operations of Integers involving Brackets

#### Highest Common Factor (HCF)

- Video - Understanding Highest Common Factors (9:55)
- Video - Finding Highest Common Factors (4:50)
- Topic - HCF of Single Prime Factors between Two Numbers
- Topic - HCF of Two Prime Factors between Two Numbers
- Topic - HCF of Three Prime Factors between Two Numbers
- Topic - HCF of Single Prime Factors between Three Numbers
- Topic - HCF of Two Prime Factors between Three Numbers

#### Lowest Common Multiple (LCM)

- Video - Multiples of Integers (5:22)
- Video - Lowest Common Multiples (14:13)
- Video - Finding the Lowest Common Multiples (5:30)
- Video - Common Multiples (3:26)
- Video - Getting Multiples of Integers (2:51)
- Video - Finding Missing Values by Multiplications of Integers (5:58)
- Topic - Listing Multiples
- Topic - Lowest Common Multiple by Listing Multiples of Two Numbers
- Topic - Lowest Common Multiple by Listing Multiples of Three Numbers
- Topic - LCM by Using Product of Prime Factors between Two Numbers
- Topic - LCM by Writing Product of Prime Factors between Two Numbers
- Topic - LCM by Using Product of Prime Factors between Three Numbers
- Topic - LCM by Writing Product of Prime Factors between Three Numbers

#### Order of Operations

- Video - Understanding Order of Operations (10:25)
- Video - Order of Operations BEDMAS (2:42)
- Video - Order of Operations (5:00)
- Video - Finding Unknown Values by Changing Orders (3:03)
- Video - Grouping Symbols (8:31)
- Topic - Evaluation of Two Operations
- Topic - Evaluation of Three Operations
- Topic - Evaluation involving Brackets
- Topic - Evaluation involving Double Brackets
- Topic - Evaluation involving Nested Brackets
- Topic - Evaluation involving Fractions
- Topic - Evaluation involving Exponents

#### Special Number Sets

- Video - Number Sets (4:49)
- Video - Classification Numbers using Number Sets (8:18)
- Video - Natural Numbers (2:31)
- Video - Integers (2:07)
- Video - Rational Numbers (2:49)
- Video - Irrational Numbers (3:24)
- Video - Real Numbers (2:19)
- Topic - True or False for Natural Numbers
- Topic - True or False for Integers
- Topic - True or False for Rational Numbers
- Topic - True or False for Irrational Numbers
- Topic - Classification of Numbers

#### Prime Factors

- Video - Factorise 72 as a Product of its Prime Factors (3:27)
- Video - Factorise 108 as a Product of its Prime Factors (1:11)
- Video - Factorise 6125 as a Product of its Prime Factors (1:55)
- Video - Factorise 300 as a Product of its Prime Factors (1:45)
- Video - Indicial Equations by Factorising Integers of Prime Factors 1 (2:26)
- Video - Indicial Equations by Factorising Integers of Prime Factors 2 (1:38)
- Video - Indicial Equations by Factorising Integers of Prime Factors 3 (2:02)
- Video - Indicial Equations by Factorising Integers of Prime Factors 4 (2:02)
- Topic - True or False of Prime Factors
- Topic - Prime Factors of 24
- Topic - Prime Factors of 36
- Topic - Prime Factors of 72
- Topic - Prime Factors of 171
- Topic - Prime Factors of 520
- Topic - Prime Factors of 1500
- Topic - Prime Factors in Index Notation
- Topic - Finding Two Prime Factors
- Topic - Finding Three Prime Factors
- Topic - Finding Four Prime Factors
- Topic - Prime Factorisation: Factor Tree of Bases 5 and 7
- Topic - Prime Factorisation: Indicial Equations in Single Bases
- Topic - Prime Factorisation: Indicial Equations in Multiple Bases

#### Square Roots

- Video - Understanding Square Roots (2:37)
- Video - Evaluating Square Roots (3:03)
- Topic - Square Roots of Square Numbers
- Topic - Square Roots of Square Numbers Multiple of Ten
- Topic - Square Roots of Square Decimal Numbers
- Topic - Arithmetic Calculations with Square Roots
- Topic - Approximated Values of Square Roots

#### Complements of Sets

- Video - Complement Sets (9:13)
- Topic - Describing Complement Set
- Topic - Listing Complement Set
- Topic - Listing Complement Set using Set Notation
- Topic - Listing Complement Set involving Intersection Set
- Topic - Listing Complement Set involving Union Set
- Topic - Complement Set using Set Notation
- Topic - Number of Elements of Complement Sets

#### Venn Diagram Regions with Two Sets

- Video - Two-Way Tables and Venn Diagrams (4:11)
- Video - Drawing Venn Diagrams for Two Events (3:39)
- Video - Elements in Venn Diagrams with Two Sets (4:12)
- Video - Venn Diagrams and Regions (6:23)
- Topic - Set Notations for Venn Diagrams with Two Sets 1
- Topic - Set Notations for Venn Diagrams with Two Sets 2

#### Venn Diagram Regions with Three Sets

- Video - Drawing Venn Diagrams for Three Events (5:06)
- Video - Elements in Venn Diagrams with Three Sets (3:13)
- Video - Drawing Three Circles in Venn Diagrams (8:52)
- Topic - Set Notations for Venn Diagrams with Three Sets 1
- Topic - Set Notations for Venn Diagrams with Three Sets 2
- Topic - Set Notations for Venn Diagrams with Three Sets 3

#### Improper Fractions and Mixed Numbers

- Video - Conversion from Improper Fractions to Mixed Numbers (8:07)
- Video - Conversion from Mixed Numerals to Improper Fractions (4:04)
- Topic - Converting Improper Fractions to Mixed Numbers 1
- Topic - Converting Improper Fractions to Mixed Numbers 2
- Topic - Converting Improper Fractions to Mixed Numbers 3
- Topic - Converting Mixed Numbers to Improper Fractions 1
- Topic - Converting Mixed Numbers to Improper Fractions 2
- Topic - Converting Mixed Numbers to Improper Fractions 3
- Topic - Comparisons between Improper Fractions and Mixed Numbers 1
- Topic - Comparisons between Improper Fractions and Mixed Numbers 2

#### Adding and Subtracting Fractions

- Video - Adding Fractions (5:21)
- Video - Solving Equations by Adding Fractions (4:52)
- Video - Subtracting Fractions (5:50)
- Video - Solving Equations by Subtracting Fractions (4:29)
- Topic - Addition of Fractions: Same Dinominators 1
- Topic - Subtraction of Fractions: Same Dinominators 1
- Topic - Addition of Fractions: Same Dinominators 2
- Topic - Subtraction of Fractions: Same Dinominators 2
- Topic - Addition of Fractions: Same Dinominators 3
- Topic - Subtraction of Fractions: Same Dinominators 3
- Topic - Addition of Fractions and Mixed Numbers 1
- Topic - Addition of Fractions and Mixed Numbers 2
- Topic - Subtraction of Fractions and Mixed Numbers 1
- Topic - Subtraction of Fractions and Mixed Numbers 2
- Topic - Addition of Fractions: Different Dinominators
- Topic - Subtraction of Fractions: Different Dinominators
- Topic - Addition of Fractions: Different Dinominators using LCMs
- Topic - Subtraction of Fractions: Different Dinominators using LCMs
- Topic - Subtraction of Fractions from Integers
- Topic - Addition and Subtraction of Fractions

#### Multiplying Fractions

- Video - Multiplying Fractions (5:19)
- Video - Solving Equations by Multiplying Fractions (3:29)
- Topic - Simple Multiplication of Fractions
- Topic - Multiplication of Fractions involving Cancellations 1
- Topic - Multiplication of Fractions involving Cancellations 2
- Topic - Multiplication of Fractions involving Cancellations 3
- Topic - Multiplication of Fractions and Integers 1
- Topic - Multiplication of Fractions and Integers 2
- Topic - Multiplication of Fractions and Integers 3
- Topic - Multiplication of Fractions and Integers 4
- Topic - Multiplication of Fractions and Integers 5
- Topic - Multiplication of Mixed Numbers 1
- Topic - Multiplication of Mixed Numbers 2
- Topic - Multiplication of Mixed Numbers 3
- Topic - Multiplication of Fractions using the Word 'of'

#### Dividing Fractions

- Video - Dividing Fractions (8:56)
- Video - Complex Fractions (5:20)
- Topic - Reciprocal of Fractions
- Topic - Reciprocal of Integers
- Topic - Reciprocal of Mixed Numbers
- Topic - Simple Division of Fractions
- Topic - Division of Fractions involving Cancellations 1
- Topic - Division of Fractions involving Cancellations 2
- Topic - Division of Fractions and Integers
- Topic - Division of Fractions and Mixed Numbers
- Topic - Division of Mixed Numbers

#### Mixed Operations with Fractions

- Video - Applications of Fractions (6:28)
- Video - Expressing to Simple Fractions (4:17)
- Topic - Mixed Operations with Fractions 1
- Topic - Mixed Operations with Fractions 2
- Topic - Mixed Operations with Fractions 3
- Topic - Mixed Order of Operations with Fractions 1
- Topic - Mixed Order of Operations with Fractions 2
- Topic - Mixed Order of Operations with Fractions 3
- Topic - Mixed Order of Operations with Fractions 4
- Topic - Mixed Order of Operations with Fractions 5

#### Comparing Fractions

- Video - Comparing Fractions (11:53)
- Topic - Comparing Fractions in Common Denominators
- Topic - Comparing Fractions using Common Denominators
- Topic - Comparing Fractions by Cross Multiply
- Topic - Comparing Fractions using LCM of Denominators 1
- Topic - Comparing Fractions using LCM of Denominators 2
- Topic - Comparing Fractions using LCM of Denominators 3
- Topic - Comparing Fractions using LCM of Denominators 4
- Topic - Arranging Fractions in Ascending Order
- Topic - Arranging Fractions in Descending Order

#### Nearest

- Video - Rounding to the Nearest Normal Numerals using Number Line (6:30)
- Video - Rounding to the Nearest Decimal Numbers using Number Line (6:27)
- Video - Round Nearest (5:54)
- Video - Round to Decimal Places (2:57)
- Video - Simplifying to The Nearest (1:36)
- Topic - Round to the Nearest Thousand
- Topic - Round to the Nearest Five Hundred
- Topic - Round to the Nearest Hundred
- Topic - Round to the Nearest Fifty
- Topic - Same Foci between Two Hyperbolas
- Topic - Round to the Nearest Ten
- Topic - Round to the Nearest Five
- Topic - Round to the Nearest Unit
- Topic - Round to the Nearest Tenth
- Topic - Round to the Nearest Hundredth
- Topic - Rounding to the Nearest Whole Numbers
- Topic - Rounding to the Nearest Decimal Numbers