A-Level Mathematics

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: click on the Yellow Chapter Headings to access Teacher Power Points, Textbook worked solutions plus Exam Questions and Answers or the Yellow Click here links for Video Tutorials or the Blue links for worked questions.

Year 1 Pure Content

Chapter 1:   Algebraic Expressions

Video Tutorial: Click here

Video Questions: Surds, Indices, Polynomials

Chapter 2:   Quadratic Functions

Video Tutorial: Click here

Video Questions: Quadratic Equations

Chapter 3:   Equations & Inequalities

Video Tutorial: Click here

Video Questions: Simultaneous Equations, Inequalities

Chapter 4:   Graphs & Transformations

Video Tutorial: Click here

Video Questions: Graphs & Proportion, Cubics, Graph Transformations

Chapter 5:   Straight Line Graphs

Video Tutorial: Click here

Video Questions: Linear Graphs

Chapter 6:   Circles

Video Tutorial: Click here

Video Questions: Circle Geometry

Chapter 7:   Algebraic Methods

Video Tutorial: Click here

Video Questions: Factor Theorem 13, Polynomial Division 17

Chapter 8:   Binomial Expansion

Video Tutorial: Click here

Video Tutorials: Binomial Expansion

Chapter 9:   Trigonometry Ratios

Video Tutorial: Click here

Video Tutorials: Trigonometry, Trig Graphs

Chapter 10: Trigonometric Identities & Equations

Video Tutorial: Click here

Video Questions: Trig Identities, Trig Equations

Chapter 11: Vectors

Video Tutorial: Click here

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

Chapter 12: Differentiation

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

Video Tutorial: Click here

Video Questions: 

Introduction to IntegrationIndefinite IntegralsWhy Integration gives an Area, Definite Integrals

Chapter 14: Exponentials & Logarithms

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

Video Tutorial: Click here

Video Questions: Proof, Algebraic Fractions

Chapter 2:   Functions

Video Tutorial: Click here

Video Questions: Functions, Modelling with Functions

Chapter 3:   Sequences & Series

Video Tutorial: Click here

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

Chapter 4:   Binomial Expansion

Video Tutorial: Click here

Video Questions: Binomial Theorem

Chapter 5:   Radians

Video Tutorial: Click here

Video Questions: Work with Radians, Small Angle Approximation

Chapter 6:   Trigonometric Functions

Video Tutorial: Click here

Video Questions: Trig Equations, Further Trigonometry

Chapter 7:   Trigonometric Modelling & Identities

Video Tutorial: Click here

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

Chapter 8:   Parametric Equations

Video Tutorial: Click here

Video Questions: Parametric Equations, Parametric Equation Modelling

Chapter 9:   Differentiation

Video Tutorial: Click here

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

Chapter 10: Numerical Methods

Video Tutorial: Click here

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

Chapter 11: Integration

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

Video Tutorial: Click here

Video Questions: Vector Problems

Year 1 Statistics

Chapter 1:   Data Collection

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

Chapter 2:   Measures of Location & Spread

Video Tutorial: Click here

Video Questions: Central Tendency & Variation

Chapter 3:   Representation of Data

Video Tutorial: Click here

Video Questions: Box Plots, Cumulative Frequency & Histograms

Chapter 4:   Correlation

Video Tutorial: Click here

Video Questions: Scatter Graphs & Regression Lines

Chapter 5:   Probability

Video Tutorial: Click here

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

Chapter 6:   Statistical Distributions

Video Tutorial: Click here

Video Questions: Discrete Random Variables & The Binomial Distribution

Chapter 7:   Hypothesis Testing using Binomial

Video Tutorial: Click here

Video Questions: Introducing Hypothesis Testing, Binomial Hypothesis Testing

Year 2 Statistics

Chapter 1:   Regression & Correlation

Video Tutorial: Click here

Video Questions: Scatter Graphs & Regression Lines

Chapter 2:   Conditional Probability

Video Tutorial: Click here

Video Questions: Conditional Probability, Modelling with Probability

Chapter 3:   The Normal Distribution

Video Tutorial: Click here

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

Year 1 Mechanics

Chapter 8:   Modelling in Mechanics

Video Questions: Quantities & Units in Mechanics

Chapter 9:   Constant Acceleration

Video Tutorial: Click here

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

Chapter 10: Forces & Motion

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

Video Tutorial: Click here

Video Questions: Calculus in Kinematics

 

Year 2 Mechanics

Chapter 4:   Moments

Video Tutorial: Click here

Video Questions: Moments

Chapter 5:   Forces & Friction

Video Tutorial: Click here

Video Questions: Forces on Incline, The Coefficient of Friction

 

Chapter 6:   Projectiles

Video Tutorial: Click here

Video Questions: Projectiles

Chapter 7:   Application of Forces

Video Tutorial: Click here

Video Questions: Connected Particles, Forces on Incline

Chapter 8:   Kinematics

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