- Introduction to Natural Numbers
- Factors of a natural number
- Prime and Composite Numbers
- Sieve of Eratosthenes
- Twin prime and Co prime numbers
- Prime factors
- Divisibility Tests
- Deriving other Divisibility Tests
- Highest Common Factor (HCF)
- Other methods to find HCF
- More practise on HCF
- Applications of HCF
- Lowest Common Multiple (LCM)
- Applications of LCM
- Testing your knowledge of Natural Numbers

- Introduction to Negative Numbers
- Number Line and Opposite Numbers
- Adding and Subtracting using Number Line
- Merger of Signs
- Adding and Subtracting Integers without a Number Line
- More practise on adding and subtracting of integers
- Multiplying Integers
- Dividing Integers
- Exponents
- Sums based on exponents
- Order of Operations
- Complex sums on Order of Operations
- Testing your knowledge with integers

- Introduction to Fractions
- Equivalent Fractions
- Reducing to lowest terms
- Proper, Improper and Mixed Fractions
- Comparing Fractions
- Adding and Subtracting Fractions
- Three Methods to Add and Subtract Fractions
- Multiplying Fractions
- Dividing Fractions
- Testing your knowledge of Fractions

- Introduction to Decimal Numbers
- Expanded form of Decimal Number
- Comparing Decimal Numbers
- Fractions to decimals
- Fractions to decimals more types and examples
- Decimals to Fractions
- Representing Decimal numbers on Number Line
- Adding and Subtracting Decimals
- Multiplying and Dividing Decimals
- Testing your knowledge of Decimal Numbers

- Introducing Percentages
- Percentage to Fractions and Decimals
- Finding percentage of a number
- Percentage increase or decrease
- Other sum types based on Percent Increase or Decrease
- Testing your knowledge of Percentage

- Introduction to Square root
- Table of square 1 to 30
- Square root by factorization method
- Calculate squares quickly
- Guessing square roots
- Square root by division method
- Introduction to Cube roots
- Cube root by factorization method
- Guessing Cube roots
- Rational Numbers
- Irrational Numbers
- Testing your knowledge of Square Roots and Cube Roots

- Introduction to Ratios
- Introduction to Proportion
- Example of Proportion
- Introduction to Profit and Loss
- What is Profit Percentage and Loss Percentage
- Calculating Profit (or Loss) Percentage
- Calculating the third when two are given
- Introduction to Discount
- Examples based on Discount
- More examples based on Discount
- Introduction to Commission
- Examples based on Commission
- More examples based on Commission
- Introduction to Simple Interest
- Examples based on Simple Interest
- More examples based on Simple Interest
- Testing your knowledge of Commercial Mathematics