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

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