Applying Number

Cardinality and rounding: Understanding the concept of cardinality (or countability), as well as mastering the techniques of rounding to the nearest whole number or decimal place, and utilising significant figures, is essential.
Order of operations: One important rule to adhere to in algebra is the order of operations. Remember to follow the BIDMAS/BODMAS rule: Brackets, Indices/Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Handling fractions: You need to be comfortable with multiplying, dividing, adding, and subtracting fractions. Remember to find a common denominator for addition and subtraction.
Decimals, percentages, and fractions: Be able to convert between these three forms and understand how they relate to each other.
Powers and roots: Make sure to familiarise yourself with powers (also called exponents) and roots. Square, cube, and higher powers, along with their inverse operations (square roots, cube roots) are important here.
Functions and their graphical representation: Learn to recognise the graph of a function based on its equation, specifically for linear (straight line), quadratic (parabola), and cubic functions.
Formulae: Know how to rearrange formulae to find specific variables.
Factors and multiples: Be able to quickly identify the factors and multiples of a given number.
Algebraic manipulation: Including expanding brackets, simplifying expressions, factorising quadratic expressions.
Ratios and proportions: Understand the difference between a ratio and a proportion, and how to solve problems involving direct and inverse proportions.
Equations: Work on solving linear equations, quadratic equations, simultaneous equations and inequalities.
Sequences: Understand and apply the concepts of arithmetic and geometric sequences, as well as working with the nth term of a sequence.
Functions: Understand and use function notation, as well as inverse and composite functions.
Vectors: Have a good understanding of how to perform operations with vectors, and use vectors to solve problems in geometry.

Remember, practise makes perfect. Regularly practising these concepts with varying levels of difficulty will help to solidify your understanding. Review your work and learn from mistakes. Each mistake is a learning opportunity.