AS & A-level further maths, exam board: Edexcel

Table of contents :
AS Maths Formula Sheet
Contents
C1
C1 Section 1 — Algebra Fundamentals
A Few Definitions and Things
Laws of Indices
Surds
Multiplying Out Brackets
Taking Out Common Factors
Algebraic Fractions
Simplifying Expressions
C1 Section 1 — Practice Questions
C1 Section 1 — Practice Questions
C1 Section 2 — Quadratics and Polynomials
Sketching Quadratic Graphs
Factorising a Quadratic
Factorising a Quadratic
Completing the Square
Completing the Square
The Quadratic Formula
The Quadratic Formula
The Quadratic Formula
Cows
Factorising Cubics
C1 Section 2 — Practice Questions
C1 Section 2 — Practice Questions
C1 Section 3 — Simultaneous Equations & Inequalities
Linear Inequalities
Quadratic Inequalities
Simultaneous Equations
Simultaneous Equations with Quadratics
Geometric Interpretation
C1 Section 3 — Practice Questions
C1 Section 3 — Practice Questions
C1 Section 4 — Coordinate Geometry and Graphs
Coordinate Geometry
Coordinate Geometry
Curve Sketching
Graph Transformations
C1 Section 4 — Practice Questions
C1 Section 4 — Practice Questions
C1 Section 4 — Practice Questions
C1 Section 5 — Sequences and Series
Sequences
Arithmetic Progressions
Arithmetic Series and Sigma Notation
C1 Section 5 — Practice Questions
C1 Section 5 — Practice Questions
C1 Section 6 — Differentiation
Differentiation
Differentiation
Finding Tangents and Normals
C1 Section 6 — Practice Questions
C1 Section 6 — Practice Questions
C1 Section 7 — Integration
Integration
Integration
C1 Section 7 — Practice Questions
C1 Section 7 — Practice Questions
Core Mathematics C1 — Practice Exam One
Core Mathematics C1 — Practice Exam One
Core Mathematics C1 — Practice Exam Two
Core Mathematics C1 — Practice Exam Two
C2
C2 Section 1 — Algebra and Functions
Algebraic Division
The Remainder and Factor Theorems
C2 Section 1 — Practice Questions
C2 Section 2 — Circles and Trigonometry
Circles
Circles
Arc Length and Sector Area
Arc Length and Sector Area
The Trig Formulas You Need to Know
Using the Sine and Cosine Rules
Graphs of Trig Functions
Transformed Trig Graphs
Solving Trig Equations in a Given Interval
Solving Trig Equations in a Given Interval
Solving Trig Equations in a Given Interval
Solving Trig Equations in a Given Interval
C2 Section 2 — Practice Questions
C2 Section 2 — Practice Questions
C2 Section 2 — Practice Questions
C2 Section 2 — Practice Questions
C2 Section 3 — Logs and Exponentials
Logs
Exponentials and Logs
Exponentials and Logs
C2 Section 3 — Practice Questions
C2 Section 3 — Practice Questions
C2 Section 4 — Sequences and Series
Geometric Progressions
Geometric Progressions
Geometric Progressions
Binomial Expansions
Binomial Expansions
C2 Section 4 — Practice Questions
C2 Section 4 — Practice Questions
C2 Section 5 — Differentiation
Stationary Points
Increasing and Decreasing Functions
Curve Sketching
Real-life Problems
C2 Section 5 — Practice Questions
C2 Section 5 — Practice Questions
C2 Section 6 — Integration
Integration
The Trapezium Rule
The Trapezium Rule
Areas Between Curves
C2 Section 6 — Practice Questions
C2 Section 6 — Practice Questions
Core Mathematics C2 — Practice Exam One
Core Mathematics C2 — Practice Exam One
Core Mathematics C2 — Practice Exam Two
Core Mathematics C2 — Practice Exam Two
S1
S1 Section 1 — Data
Histograms
Stem and Leaf Diagrams
Location: Mean, Median and Mode
Location: Mean, Median and Mode
Dispersion: Interquartile Range
Dispersion: Standard Deviation
Dispersion and Outliers
Coding
Skewness
Comparing Distributions
S1 Section 1 — Practice Questions
S1 Section 1 — Practice Questions
S1 Section 1 — Practice Questions
S1 Section 2 — Probability
Random Events and Venn Diagrams
Random Events and Venn Diagrams
Tree Diagrams
Conditional Probability
Independent Events
S1 Section 2 — Practice Questions
S1 Section 2 — Practice Questions
S1 Section 3 — Discrete Random Variables
Probability Distributions
Probability Distributions
The Cumulative Distribution Function
Expected Values, Mean & Variance
Expected Values, Mean and Variance
S1 Section 3 — Practice Questions
S1 Section 3 — Practice Questions
S1 Section 4 — Correlation and Regression
Correlation
Correlation
Linear Regression
Linear Regression
S1 Section 4 — Practice Questions
S1 Section 4 — Practice Questions
S1 Section 5 — The Normal Distribution
Normal Distributions
The Standard Normal Distribution, Z
Normal Distributions and Z-Tables
Normal Distributions and Z-Tables
S1 Section 5 — Practice Questions
S1 Section 5 — Practice Questions
Statistics S1 — Practice Exam One
Statistics S1 — Practice Exam One
Statistics S1 — Practice Exam One
Statistics S1 — Practice Exam Two
Statistics S1 — Practice Exam Two
Statistics S1 — Practice Exam Two
Edexcel S1 — Statistical tables
M1
M1 Section 1 — Kinematics
Constant Acceleration Equations
Constant Acceleration Equations
Motion Graphs
Motion Graphs
M1 Section 1 — Practice Questions
M1 Section 2 — Vectors and Statics
Vectors
Vectors
Vectors
Forces and Modelling
Forces and Modelling
Forces are Vectors
Forces are Vectors
Forces are Vectors
i + j Vectors
Friction
Moments
Moments
M1 Section 2 — Practice Questions
M1 Section 2 — Practice Questions
M1 Section 2 — Practice Questions
M1 Section 2 — Practice Questions
M1 Section 3 — Dynamics
Newton’s Laws
Friction and Inclined Planes
Friction and Inclined Planes
Connected Particles
Connected Particles
Connected Particles
Momentum
Impulse
Impulse
M1 Section 3 — Practice Questions
M1 Section 3 — Practice Questions
M1 Section 3 — Practice Questions
Mechanics M1 — Practice Exam One
Mechanics M1 — Practice Exam One
Mechanics M1 — Practice Exam One
Mechanics M1 — Practice Exam Two
Mechanics M1 — Practice Exam Two
Mechanics M1 — Practice Exam Two
D1
D1 Section 1 — Algorithms
Algorithms
Flow Charts
Sorting
Sorting
Searching
Packing
Packing
D1 Section 1 — Practice Questions
D1 Section 1 — Practice Questions
D1 Section 2 — Algorithms on Graphs
Graphs
Graphs
Graphs
Minimum Spanning Trees
Minimum Spanning Trees
Minimum Spanning Trees
Dijkstra’s Algorithm
Dijkstra’s Algorithm
D1 Section 2 — Practice Questions
D1 Section 2 — Practice Questions
D1 Section 3 — The Route Inspection Problem
Traversable Graphs
Route Inspection Problems
Route Inspection Problems
Route Inspection Problems
D1 Section 3 — Practice Questions
D1 Section 3 — Practice Questions
D1 Section 4 — Critical Path Analysis
Activity Networks
Activity Networks
Activity Networks with Early and Late Times
Critical Paths
Gantt Charts
Scheduling
Scheduling
D1 Section 4 — Practice Questions
D1 Section 4 — Practice Questions
D1 Section 5 — Linear Programming
Linear Programs
Feasible Regions
Optimal Solutions
Optimal Solutions
Optimal Integer Solutions
D1 Section 5 — Practice Questions
D1 Section 5 — Practice Questions
D1 Section 6 — Matchings
Matchings
Alternating Paths
Maximum Matchings
D1 Section 6 — Practice Questions
Decision Mathematics D1 — Practice Exam One
Decision Mathematics D1 — Practice Exam One
Decision Mathematics D1 — Practice Exam One
Decision Mathematics D1 — Practice Exam Two
Decision Mathematics D1 — Practice Exam Two
Decision Mathematics D1 — Practice Exam Two
Decision Mathematics D1 — Practice Exam Two
Answers
C1 Section 1 — Algebra Fundamentals
C1 Section 2 — Quadratics & Polynomials
C1 Section 3 — Simultaneous Equations and Inequalities
C1 Section 4 — Coordinate Geometry and Graphs
C1 Section 5 — Sequences and Series
C1 Section 6 — Differentiation
C1 Section 7 — Integration
C1 — Practice Exam One
C2 Section 1 — Algebra and Functions
C2 Section 2 — Circles and Trigonometry
C2 Section 3 — Logs and Exponentials
C2 Section 4 — Sequences and Series
C2 Section 5 — Differentiation
C2 Section 6 — Integration
C2 Practice Exam 1
C2 Practice Exam 2
S1 Section 1 — Data
S1 Section 2 — Probability
S1 Section 3 — Discrete Random Variables
S1 Section 4 — Correlation and Regression
S1 Section 5 — The Normal Distribution
S1 — Practice Exam One
S1 — Practice Exam Two
M1 Section 1 — Kinematics
M1 Section 2 — Vectors and Statics
M1 Section 3 — Dynamics
M1 Practice Exam 1
M1 Practice Exam 2
D1 Section 1 — Algorithms
D1 Section 2 — Algorithms on Graphs
D1 Section 3 — The Route Inspection Problem
D1 Section 4 — Critical Path Analysis
D1 Section 5 — Linear Programming
D1 Section 6 — Matchings
D1 — Practice Exam 1
D1 — Practice Exam 2
Index

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