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

Description

Achieve the best grades in 2022 and 2023 with this all-in-one book from CGP! This CGP Complete Revision & Practice book is a fantastic all-in-one guide to AS & A-Level Edexcel Further Maths . It’s bursting with crystal-clear revision notes and worked examples for the Core Pure topics as well as the Further Pure 1, Further Statistics 1, Further Mechanics 1 and Decision Mathematics 1 options. There are also plenty of exam-style questions to test students on what they’ve learned (including step-by-step answers at the back). And to top things off, the book comes with a free Online Edition - just use the code printed inside the book to read it on a PC, Mac or tablet. 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