Mathematics
Mathematics allows us to take information out of the real world and study it to discover patterns and rules that we can take to other areas of the real world and use. In many ways mathematics hopes to try and understand "God's" thoughts. It is the language of God. What more do you want from a subject than to study that?
Notes:
There are 2 question books which contain hard questions which in a randomized order. These act as "mock" past papers.
The GCSE book is designed for students sitting IGCSE Edexcel Higher.
The FMSQ book is designed for students sitting OCR Additional Maths.
Please be aware: All of GCSE maths is required for Additional Maths.
Table of Contents:
A Race Through Basic Maths
Addition, Subtraction, Division, Multiplication
Roots and Powers
Order of Operations
- BODMAS
- Operations with negative numbers
Degree of accuracy
- Rounding Numbers
- Upper and Lower bounds
- Estimating Answers
GCSE
Revision Guide
Numbers
Types of Numbers
- Odd and Even Numbers, Integers, Fractions, Rational and Irrational Numbers, Prime Numbers
Factors and Multiples
- Multiples, Factors, Prime Factors, HCF, LCM
Fractions, Decimals and Percentages
- Adding, Subtracting, Multiplying and Dividing Fractions
- Converting fractions, decimals and percentages
- Converting recurring decimals into fractions and vice versa
Percentages and Interest
- Percentage Questions
- Ratio and proportion
- Simple and Compound Interest
Ratios and Proportion
- Simplifying Ratios
- Proportional Division
- Difference Between 2 parts
- Proportion Questions
Standard form
- Converting
- Multiplying and Dividing
- Adding and Subtracting
Algebra
Introduction to Algebra
- Linear Algebra Basics
- Single Brackets
- Double Brackets
Laws of Indices
- Basic Rules
- Multiplying, Adding and Subtracting Rules
- Negative Exponents
- Fractional Exponents
Expressions and formulae
- Rearranging formulae
- Triple Brackets
- Factorising
- Difference of two squares
Surds
- Rules of Surds
- Rationalising the denominator
Simultaneous equations
- Solving by substitution
- Solving by elimination
- Solving by graph
Quadratic equations
- Factorising
- Quadratic Formula
- Graphing
Inequalities
Sequences
Functions
Graphs
Calculus
Sets
- Sets
- Venn Diagrams
Geometry
Lines and triangles
Polygons
Symmetry
Measures
Construction
Circles
Trigonometry
Perimeters and areas of sectors of circles
3D Shapes and Volumes
Similarity
Vectors
Transformations
Statistics
Graphical representation of data
Statistical measures
Probability
FMSQ
Algebra II
Completing the square
Polynomials: Factor and Remainder Theorem
Binomial expansion and distribution
Geometry II
Trigonometry
Calculus
Differentiation
Basic Integration
Basic Kinematics