A-Level Mathematics - Student

EDEXCEL Transition to A-Level Course

The transition from GCSE to A level Maths can be challenging but, with plenty of practice, it most certainly is a rewarding experience. The chapters below focus on activities which help students to master the key skills that are needed in both AS and A level Mathematics. The topics are mainly those found in the overlap between GCSE and AS mathematics.

Each chapter contains between 10 and 15 videos for students to watch, along with a downloadable PDF of example questions, practice questions and End of chapter exam questions for consolidation - Click Here

Alternative Transition Resources

This booklet of questions highlights some of the key topics and has examples, questions and solutions - Click here

A third option is to work your way through these Hegarty Maths series - you will find the solutions to the exercises in pdf form in the video description with download in the link - Click here

A-Level Content, Tutorials and Exam Questions


For each of the Chapters for the A-Level course: The Solutions to the book exercises can be found via the first link, Video tutorials via the second link or worked exam questions via the Blue links.

Year 1 Pure Content

Chapter 1:   Algebraic Expressions

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here
Video Questions: Surds, Indices, Polynomials

Chapter 2:   Quadratic Functions

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Quadratic Equations

Chapter 3:   Equations & Inequalities

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Simultaneous Equations, Inequalities

Chapter 4:   Graphs & Transformations

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Graphs & Proportion, Cubics, Graph Transformations

Chapter 5:   Straight Line Graphs

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Linear Graphs

Chapter 6:   Circles

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Circle Geometry

Chapter 7:   Algebraic Methods

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Factor Theorem 13, Poly Division 17

Chapter 8:   Binomial Expansion

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Tutorials: Binomial Expansion

Chapter 9:   Trigonometry Ratios

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Tutorials: Trigonometry, Trig Graphs

Chapter 10: Trigonometric Identities & Equations

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Trig Identities, Trig Equations

Chapter 11: Vectors

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Introducing Vectors, Magnitude & Direction, Resultant & Parallel, Position Vectors, Vector Problems

Chapter 12: Differentiation

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video QuestionsGradient Function & Differentiating Powers of x, Differentiation from 1st Principles, Increasing & Decreasing Functions, Equations of Tangents & Normals, Sketching the Gradient Function, The 2nd derivative & the nature of turning points, Stationary & Turning Points

Chapter 13: Integration

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: 

Introduction to IntegrationIndefinite IntegralsWhy Integration gives an Area, Definite Integrals

Chapter 14: Exponentials & Logarithms

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Exponentials, Exponential Models, Logarithms, Laws of Logarithms, Exponential & Logarithmic Equations, Reduction to Linear Form, Exponential Growth & Decay

Year 2 Pure Content

Chapter 1:   Algebraic Methods

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Proof, Algebraic Fractions

Chapter 2:   Functions

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Functions, Modelling with Functions

Chapter 3:   Sequences & Series

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Sequences, Sigma Notation, Arithmetic Sequences, Geometric Sequences, Modelling with Sequences

Chapter 4:   Binomial Expansion

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Binomial Theorem

Chapter 5:   Radians

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Work with Radians, Small Angle Approximation

Chapter 6:   Trigonometric Functions

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Trig Equations, Further Trigonometry

Chapter 7:   Trigonometric Modelling & Identities

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Compound Angles & Equivalent Forms, Proving Trig Identities, Trig in Context

Chapter 8:   Parametric Equations

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Parametric Equations, Parametric Equation Modelling

Chapter 9:   Differentiation

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Further Differentiation, Implicit & Parametric Differentiation, Forming Differential Equations

Chapter 10: Numerical Methods

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Change of Sign Method, x=g(x) & Newton Raphson Method, Numerical Methods in Context

Chapter 11: Integration

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Numerical Integration, Integration as the limit of a sum, Reversing Chain Rule, Substitution and Parts Methods, Integration with Partial Fractions, Differential Equations, Differential Equations in Context

Chapter 12: Vectors

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Vector Problems

Year 1 Statistics

Chapter 1:   Data Collection

Exam Questions - Book Solutions: Click here

Video Questions: Large Data Set & Sampling Methods, Outliers & Cleaning Data

Chapter 2:   Measures of Location & Spread

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Central Tendency & Variation

Chapter 3:   Representation of Data

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Box Plots, Cumulative Frequency & Histograms

Chapter 4:   Correlation

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Scatter Graphs & Regression Lines

Chapter 5:   Probability

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Venn Diagrams, Tree Diagrams & Two-Way Tables

Chapter 6:   Statistical Distributions

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Discrete Random Variables & The Binomial Distribution

Chapter 7:   Hypothesis Testing using Binomial

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Introducing Hypothesis Testing, Binomial Hypothesis Testing

Year 2 Statistics

Chapter 1:   Regression & Correlation

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Scatter Graphs & Regression Lines

Chapter 2:   Conditional Probability

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Conditional Probability, Modelling with Probability

Chapter 3:   The Normal Distribution

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Normal Distribution, Sample Means Hypothesis Testing, Appropriate Distributions

Year 1 Mechanics

Chapter 8:   Modelling in Mechanics

Exam Questions - Book Solutions: Click here

Video Questions: Quantities & Units in Mechanics

Chapter 9:   Constant Acceleration

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Displacement, Velocity & Acceleration, Graphs of Motion, SUVAT

Chapter 10: Forces & Motion

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

VideoQuestions: Introducing Forces and Newton’s 1st Law, Newton’s 2nd Law, Weight & Tension, Newton’s 3rd Law and Pulleys

Chapter 11: Variable Acceleration

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Calculus in Kinematics

 

Year 2 Mechanics

Chapter 4:   Moments

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Moments

Chapter 5:   Forces & Friction

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Forces on Incline, The Coefficient of Friction

 

Chapter 6:   Projectiles

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Projectiles

Chapter 7:   Application of Forces

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Connected Particles, Forces on Incline

Chapter 8:   Kinematics

Exam Questions - Book Solutions: Click here

Video Tutorial: Click here

Video Questions: Calculus in Kinematics, F=ma & Differential Equations

An alternative site with Problems and Video solutions for the complete A-Level Mathematics course

 

Source of  Exam Questions by Topic

 

Recommended resources for teaching Yr 12 Pure Mathematics (2017 spec), categorised by topic - Click here

Recommended resources for teaching Yr 13 Pure Mathematics (2017 spec), categorised by topic - Click here