# Understanding Numbers

• Familiarize yourself with different types of numbers: natural numbers, integers, rational numbers, irrational numbers and real numbers. Know how they relate and differ from each other.
• Understand the place value of numbers: units, tens, hundreds, thousands and so on, and their equivalents in decimal places.
• Be sure to grasp the concept of even and odd numbers, and understand their properties.

# Numerical Operations

• Master the four basic operations: addition, subtraction, multiplication and division.
• Understand the use of brackets, particularly the BIDMAS rule (Brackets, Indices, Division and Multiplication, Addition and Subtraction) to solve numerical expressions.
• Get to grips with the concept of indices, including negative and fractional indices.

# Fractions and Decimals

• Understand how to convert between fractions, decimals, and percentages.
• Know how to add, subtract, multiply and divide both fractions and decimals confidently.
• Learn the different between reciprocal fractions and how to calculate them, and the method for simplifying fractions.

# Ratio and Proportion

• Grasp the concept of ratio and understand its role in comparative quantities.
• Know how to divide a given quantity into a certain ratio.
• Comprehend the principle of proportionality and how it relates to real-world situations.

# Powers and Roots

• Understand the laws of indices and how they are utilised in calculations.
• Be comfortable with working square roots, cube roots, and other roots.
• Comprehend how to calculate with both real and fractional powers.

# Surds

• Fully understand what surds are and know how to simplify and manipulate them accurately.
• Know how to add, subtract, multiply, and divide surds, maintaining their simplest form.

# Percentages

• Understand how to calculate percentages and how they are used in real-world situations.
• Learn the links between decimals, fractions and percentages and be able to convert between them.

# Practice, practise, practise

• Active practise is essential. Use past papers, online quizzes, worksheets and textbook exercises to reinforce concepts and skills.
• Work in depth on areas you find difficult.