AS Maths elibrary
In this section, you will find resources that will support your teaching of our AS Maths specification.
All the resources in the elibrary can be accessed free of charge, although some may require a login.
Please note: by using a link to a third party’s website you leave the website of AQA All About Maths. AQA has not verified the websites of third parties linked to below and does not assume any responsibility for their content – particularly not for any offers, information and opinions contained therein.

Absurd!♥ (14)
An activity on rationalising denominators.
Type(s): 
Additional integrals♥ (2)
Rich task looking at combinations of definite integrals.
Type(s): 
An exercise in sampling: rolling down the river♥ (1)
Activity for understanding sampling techniques.
Type(s): 
Analysing scatter plots♥ (3)
Notes and exercises (using US vocabulary) on scatter graphs, including identifying outliers.
Type(s): 
Antiderivative worksheet♥ (1)
Simple worksheet for thinking about antiderivatives.
Type(s): 
Antiderivatives and indefinite integrals
Examples and exercises.
Type(s): 
Areas of triangles♥ (3)
Fluency practice for finding the area of triangles using sine.
Type(s): 
Average speed♥ (1)
Problems involving average speed.
Type(s): 
Basic exponential and logarithmic equations
Worksheet on solving equations using log and ln.
Type(s): 
Become friends with logarithms
Mixed exercises using logs.
Type(s): 
Binomial distribution
Notes and worksheets for working with binomial graphs.
Type(s): 
Binomial distribution
Notes and exercises for binomial distribution
Type(s): 
Binomial Expansion Lock Game
Binomial expansion worksheet where answers to questions are used to obtain a 3digit code.
Type(s): 
Binomial expansion worksheets
A set of worksheets to introduce binomial expansion and develop fluency.
Type(s): 
Binomial puzzle
A cardbased puzzle for binomial distribution.
Type(s): 
Breaking Strain♥ (1)
Contextual activity for resolving forces.
Type(s): 
Calculus in kinematics exercise
Calculus in kinematics worksheet with answers.
Type(s): 
Can you find... (cubic edition)♥ (1)
Rich task for exploring cubic graphs.
Type(s): 
Can you find... (trigonometry edition)
Rich task looking at transformations of trigonometric curves.
Type(s): 
Cartesian components of vectors♥ (1)
Notes and exercises on writing vectors in Cartesian component form
Type(s): 
Cartesian components of vectors 2
Notes and exercises on writing vectors in Cartesian component form.
Type(s): 
Cartesian components of vectors powerpoint
Slides giving an introduction of i and j components in vectors.
Type(s): 
Census or sample?
An activity looking at types of sampling and sample size.
Type(s): 
Circle Geometry
Rich tasks for teaching the equation of a circle.
Type(s): 
Circle worksheets
Circle geometry notes and worksheets including a summary exercise.
Type(s): 
Circles exam questions♥ (1)
A collection of legacy specification exam questions on circle geometry, with answers.
Type(s): 
Classifying equations of parallel and perpendicular lines♥ (1)
Activities and discussion prompts for parallel and perpendicular lines.
Type(s): 
Comparing averages and spread
Worksheet in which students alter the original data set and analyse what happens to the averages and spreads.
Type(s): 
Compose!♥ (1)
Rich task looking at composite functions.
Type(s): 
Constant acceleration equations♥ (1)
Notes, examples and exercises.
Type(s): 
Coordinate Geometry Group Cards♥ (1)
Tasks for solving linear graph problems.
Type(s): 
Correlation and regression
Notes and activities for correlation and regression.
Type(s): 
Correlation coefficient♥ (1)
Lesson plans and activities for correlation coefficient.
Type(s): 
Cricketing MMM
This is a Powerpoint that covers all the different situations in which calculating measures of location might be required.
Type(s): 
Curve Match
Rich task for thinking about curve sketches.
Type(s): 
Data types and sampling methods
A gap fill on data collection and sampling
Type(s): 
Defining vectors
Activity for developing fluency in vector addition.
Type(s): 
Definite integration worksheets♥ (1)
Examples, worksheets and activities on definite integration.
Type(s): 
Definite integration worksheets
Examples, worksheets and activities on definite integration.
Type(s): 
Describing motion with words
Notes and examples on the vocabulary of kinematics.
Type(s): 
Differentiating logarithmic and exponential functions
Notes on differentiating e and ln from first principles.
Type(s): 
Differentiation dominoes  simple polynomials
Matching activity for differentiating simple polynomials.
Type(s): 
Differentiation from first principles♥ (2)
A group activity investigating gradients of curves.
Type(s): 
Differentiation practice problems
Exercise for developing fluency in differentiation.
Type(s): 
Differentiation worksheets♥ (1)
Worksheets to practice basic differentiation.
Type(s): 
Disciminating♥ (3)
Rich task for exploring the discriminant.
Type(s): 
Discriminant exam questions
Legacy A level exam questions involving the discriminant, with answers.
Type(s): 
Discussing distance
Rich task looking at two different motion graphs.
Type(s): 
Domain and range dominoes♥ (1)
Rich task featuring a card match for domain and range.
Type(s): 
Equations
Examples and exercises on quadratic simultaneous equations.
Type(s): 
Evaluating Statements about Radicals
Always, sometimes, never activity.
Type(s): 
Ever wondered why?♥ (2)
Codebreaker activity for numerical negative and fractional indices from JustMaths. In this codebreaker resource, each row is arranged in a group of three: an answer, a letter and a question. First do the question under 'Start' and write down the corresponding letter. Find the answer and do the same again  continue until you reach 'finish'
Type(s): 
Exact Value Trigonometry
A worksheet requiring students to use their understanding of exact values.
Type(s): 
Exploring trigonometrical graphs♥ (1)
Tasks looking at transformations of trigonometric graphs.
Type(s): 
Exponential and logarithmic regression
Worksheet and video on regression using logs.
Type(s): 
Exponential and natural logarithmic functions
Worksheets for plotting and transforming e and ln graphs.
Type(s): 
Exponential and natural logarithmic functions
Worksheets for plotting and transforming e and ln graphs.
Type(s): 
Exponential functions and their graphs♥ (3)
Practice questions for graphing and applying y = a^x and y = e^x.
Type(s): 
Exponential growth and decay♥ (1)
An introduction to exponential growth and decay from the perspective of calculus applications to the physical world. Includes links to video examples and an exploration of population growth.
Type(s): 
Exponential growth and decay♥ (1)
Examples and questions for applied exponential functions.
Type(s): 
Exponentially increasing like rabbits♥ (1)
An exponential growth problem that can be solved using natural logs.
Type(s): 
Factor theorem and algebraic division worksheets
Fluency exercise for algebraic division.
Type(s): 
Factor Theorem Teaching Resources
Rich tasks for the factor theorem.
Type(s): 
Factorising quadratics
Fluency exercise for factorising quadratics.
Type(s): 
First steps into differentiation♥ (1)
An IT task investigating gradient.
Type(s): 
Floppy Hair
Graph matching task looking at maximum points.
Type(s): 
Force and motion
Interactive simulation: force and motion basics.
Type(s): 
Force as a vector
Notes and examples.
Type(s): 
Forces acting at an angle: Resolving Forces
Worked examples and exercises for resolving forces.
Type(s): 
Frightening function♥ (1)
Rich task to start thinking about partial fractions.
Type(s): 
Functions stack♥ (1)
Rich task looking at symmetry and asymptotes in graphs.
Type(s): 
Gradient match♥ (1)
A rich task matching graphs of functions to their gradients.
Type(s): 
Gradients of gradients
Task looking at graphs of second derivatives.
Type(s): 
Graph transforms♥ (1)
Activities for developing fluency in graph transformations.
Type(s): 
Graphing exponential functions
Straightforward fluency practice for graphing y = a^x
Type(s): 
Graphing exponential functions
Notes and practice problems for drawing exponential graphs.
Type(s): 
Graphs of exponential functions
Lesson and worksheets for graphing y = a^x.
Type(s): 
Guessing correlations game
Online game looking at correlation coefficients.
Type(s): 
Haircut Costs
A box plot comparison activity.
Type(s): 
Heave Ho!
Activity looking at the motion of a heaving line.
Type(s): 
Hexagon puzzle
Activity to introduce vectors
Type(s): 
Histograms
Histograms practice.
Type(s): 
Histograms
Slides and questions for histograms.
Type(s): 
Hit the spot♥ (2)
Rich task involving magnitude, direction and Cartesian component form.
Type(s): 
How Far Did the Earth Move?
Task using logs to model magnitude and energy.
Type(s): 
Identifying outliers
Task involving constructing a box plot and considering outliers.
Type(s): 
Increasing and decreasing functions
Worksheets looking at increasing and decreasing functions.
Type(s): 
Indefinite integration
Examples, worksheets and activities on indefinite integration.
Type(s): 
Indefinite integration
Examples, worksheets and activities on indefinite integration.
Type(s): 
Independence, dependence, mutually exclusive or not?
Worksheet using set notation to look at independence and related concepts.
Type(s): 
Independent, dependent and mutually exclusive events
Video summarising what we mean by dependent, independent and mutually exclusive events and related probability formulae.
Type(s): 
Indices activities♥ (2)
Five rich tasks for exploring indices both numerically and algebraically.
Type(s): 
Indices matching♥ (1)
Worksheet for practising index laws and algebraic fractional and negative indices
Type(s): 
Inequalities
Examples and exercises for linear, quadratic and graphical inequalities.
Type(s): 
Inequalities for some occasions
Rich task on quadratic inequalities.
Type(s): 
Inequalities worksheets
A set of exercises on linear and quadratic inequalities.
Type(s): 
Inequality Exam Questions♥ (1)
Legacy A level exam questions on linear and quadratic inequalities, with answers.
Type(s): 
Inequations: Regions
Fluency practice for graphical inequalities.
Type(s): 
Integral chasing
Rich task for developing fluency in definite integration.
Type(s): 
Integration
Slides and worksheet for area under curve.
Type(s): 
Integration
Slides introducing integration.
Type(s): 
International System of Units (SI)
Website defining the SI base units and providing information about their historical context.
Type(s): 
Interpreting frequency graph, cumulative frequency graphs and box and whisker plots
Lesson plan and card sort.
Type(s): 
Interpreting frequency graph, cumulative frequency graphs and box and whisker plots
Lesson plan and card sort.
Type(s): 
Interpreting the regression line constants, explanatory and response variables
Video on interpreting regression lines.
Type(s): 
Introducing e
Lesson plans and activities for introducing the concept of e.
Type(s): 
Introduction to algebra♥ (1)
Fluency exercise for simplifying algebra.
Type(s): 
Introduction to vectors
Notes, examples and worksheets on component vectors.
Type(s): 
Is the gradient function increasing or decreasing on this curve?
Task looking at where functions are increasing and decreasing .
Type(s): 
Iteration♥ (2)
Video on how to solve an equation using iteration.
Type(s): 
Kinematics workbook
Comprehensive workbook containing a wide range of questions on topics in kinematics.
Type(s): 
Kinematics: describing motion
Notes and examples on the vocabulary of kinematics.
Type(s): 
Laws of Logarithms
Matching activity for log laws.
Type(s): 
Least squares regression simulation
Online interactive tool for exploring least squares regression.
Type(s): 
Linear equations and Mr Venn♥ (1)
Rich task for classifying equations of straight lines.
Type(s): 
Linear Functions
Rich tasks for linear graphs.
Type(s): 
Linearising Data
Textbook chapter with investigations and exercises.
Type(s): 
Linking the properties and forms of quadratic functions
Card sort for quadratic functions.
Type(s): 
Logarithm dominoes  simplifying logs
Matching activity involving log laws.
Type(s): 
Logarithm lattice♥ (1)
Rich task sorting log expressions by size
Type(s): 
Logarithm worksheets
Log law worksheets to develop fluency.
Type(s): 
Logarithmic equations maze activity
Fun worksheets for solving equations using logs and ln.
Type(s): 
Magnitude and angle of the resultant force
Overview video.
Type(s): 
Make it stop!
Rich task involving applying forces to particles.
Type(s): 
Making predictions and reliability of predicted values
Video on using regression lines.
Type(s): 
Making sense of differentiation
Notes and exercises for introducing calculus.
Type(s): 
Manipulating Surds
Card sort, dominoes and exercises for simplifying surds.
Type(s): 
Mechanics 1 PowerPoints
A set of PowerPoints including one on vectors for mechanics which includes magnitude/direction form.
Type(s): 
Mechanics 1 Videos
A set of videos including vectors.
Type(s): 
Methods of sampling♥ (1)
A series of activities on sampling methods.
Type(s): 
Moments♥ (1)
Moments puzzle challenge.
Type(s): 
Moments revision sheet and problems♥ (1)
A set of problems on moments.
Type(s): 
Moments worksheets♥ (1)
Worksheets and examples for moments.
Type(s): 
Nested Surds♥ (1)
A rich task to explore surds.
Type(s): 
Newton's first law conceptual worksheet♥ (1)
Questions on Newton's first law.
Type(s): 
Newton's first law conceptual worksheet♥ (1)
Questions on Newton's first law.
Type(s): 
Newton's first law of motion♥ (1)
Video explaining Newton's first law of motion.
Type(s): 
Newton's laws of motion♥ (1)
A sheet for summarising and testing knowledge of Newton's laws of motion.
Type(s): 
Newton's second law♥ (1)
Video explaining Newton's second law.
Type(s): 
Newton's third law activities♥ (1)
Discussion points for making sense of Newton's third law.
Type(s): 
Newton's third law of motion♥ (1)
Lesson ideas and practical activities for exploring Newton's third law.
Type(s): 
Newton's third law of motion♥ (1)
Examples and exercises
Type(s): 
Newton's third law of motion♥ (1)
Overview video.
Type(s): 
Newton, Leibniz, and Usain Bolt♥ (2)
An introductory video about some of the concepts underlying calculus.
Type(s): 
Optimisation♥ (1)
Activity on finding the optimal size of a baked bean can.
Type(s): 
Optimisation worksheet
Contextual optimisation questions.
Type(s): 
Over the Moon
An exponential growth problem that can be solved using natural logs.
Type(s): 
Partial fractions
Slides and questions.
Type(s): 
Partial fractions
Workbook with scaffolded questions
Type(s): 
Partial fractions
Notes and exercises on partial fractions.
Type(s): 
Partial Fractions Card Sort
Card sort to determine which method to use.
Type(s): 
Partial Fractions Unlock the Padlock
Codebreaker activity to practise partial fractions.
Type(s): 
Physical quantities and S1 units♥ (1)
A level physics presentation introducing quantities and units.
Type(s): 
Position vectors
Video about position vectors.
Type(s): 
PowerPoints on moments♥ (1)
Key points summarised in two PowerPoints.
Type(s): 
Preparing to teach motion graphs
Slides on the MEI conference with ideas and links for teaching motion graphs.
Type(s): 
Proving the laws of logarithms
Sorting activity for proving log laws.
Type(s): 
Quadratic Functions♥ (1)
Full lessons and exercises on quadratics.
Type(s): 
Quadratic meets Linear
Exercise to practise solving quadratic simultaneous equations.
Type(s): 
Quadratic Points
Activity for identifying intercepts and turning points.
Type(s): 
Quadratics in Disguise
Worksheet for solving challenging quadratic equations.
Type(s): 
Quartiles and percentiles
Activity using baby weight charts.
Type(s): 
Random independence♥ (1)
Rich task looking at independence.
Type(s): 
Reach for the stars
Rich task looking at exponential graphs.
Type(s): 
Resolving forces
Examples and exercises for resolving forces.
Type(s): 
Resolving Forces
Resolving forces notes and exercises.
Type(s): 
Resolving forces worksheet
Practice worksheet for resolving forces.
Type(s): 
Review question
Given the position of a mass, can we find its velocity and acceleration?
Type(s): 
Review question
Can we calculate the total time taken for this car journey?
Type(s): 
Review question
'If C is on this line, can we find the ratio AC:CB?'
Type(s): 
Review question
'If PRBQ is a parallelogram, what is the position vector of Q?'
Type(s): 
Review question
'In a 60km/h wind, what bearing should this plane take?'
Type(s): 
Review question
Task for solving simultaneous equations with definite integration.
Type(s): 
Review question
Question on evaluating a difference of eighth powers.
Type(s): 
Review question
Question involving evaluating a power using a binomial expansion.
Type(s): 
Review question: final digit
Rich task on number properties and sequences.
Type(s): 
Root 2 is irrational♥ (2)
A card sort of proof steps.
Type(s): 
Roots and indices maze
Maze activity for practising index laws.
Type(s): 
S2 PowerPoints
Statistics PowerPoints and workbook including binomial distribution.
Type(s): 
Sampling♥ (1)
Notes, examples, exercises and activity on sampling techniques.
Type(s): 
Sampling methods
Slides explaining terminology and sampling techniques.
Type(s): 
Sampling techniques
A matching activity for sampling techniques.
Type(s): 
Scatter graphs: True or false?
Activity interpreting scatter graphs.
Type(s): 
See the power
Rich task looking at solving equations by inspection.
Type(s): 
SI brouchure
Chapter 2 defines the base units including mass length and time and the derived units including velocity and acceleration.
Type(s): 
Simplifying logarithmic expressions
Lesson ideas and matching activity to practise log laws.
Type(s): 
Simultaneous Equations
Scaffolded worksheet on both linear and quadratic simultaneous equations.
Type(s): 
Simultaneous Equations Exam Questions
Legacy A level exam questions on simultaneous equations, with answers.
Type(s): 
Sine and Cosine Rules
Rich task in which students have to use the sine and cosine rule, including the ambiguous case, to find a series of sides and angles.
Type(s): 
Sleeper moments
Activity in which students annotate a diagram with forces based on a photograph of a real situation, and, using resolving of forces and taking moments, to calculate unknown forces as well as finding the coefficient of friction.
Type(s): 
Slippery Slope
Contextual activity for resolving forces.
Type(s): 
Slippery slopes♥ (1)
Rich task looking at the gradients of transformed graphs.
Type(s): 
Sofa moments
Activity looking at the 'heavy end' of a sofa.
Type(s): 
Solving exponential and logarithmic equations
Examples and mixed practice with solutions.
Type(s): 
Solving problems using Newton's second law
Structured problem sheets.
Type(s): 
Solving problems using Newton’s second law
Scaffolded problems involving Newton's second law.
Type(s): 
Sorting Equations of Circles 1♥ (1)
Activities and discussion points for circle geometry.
Type(s): 
Sorting Equations of Circles 2
Activities and discussion points for circle geometry.
Type(s): 
Speed Trap
A box plot comparison activity.
Type(s): 
Speed vs velocity
Activity involving sketching graphs for journeys.
Type(s): 
Spot the mistake
A spot the mistake activity for quadratic inequalities.
Type(s): 
Standard Deviation
Worksheet for developing fluency in calculating and interpreting standard deviation.
Type(s): 
Standard Deviation♥ (2)
Worksheet for developing fluency in calculating and interpreting standard deviation.
Type(s): 
Statistics 1 PowerPoints
A set of PowerPoints and exercises.
Type(s): 
Statistics and probability
Notes and exercises for teaching binomial distribution.
Type(s): 
Statistics Review♥ (1)
Worksheet for developing fluency in summarising data.
Type(s): 
Statistics revision worksheets♥ (1)
Exam style questions and solutions on binomial distribution.
Type(s): 
Straight line worksheets
Notes and worksheets for coordinate geometry, including a topic summary activity.
Type(s): 
Stretch the function
Task comparing the area under two graphs.
Type(s): 
Surds exam questions♥ (1)
Legacy A level exam questions involving surds, with answers.
Type(s): 
SUVAT calculator
The kinematic equations of motion for constant acceleration. Enter the known quantities for initial and final speed, distance, time and acceleration.
Type(s): 
SUVAT loop
A simple loop activity to test knowledge of the suvat formulae and units.
Type(s): 
SUVAT Simulations  Projectiles
A flash based simulation
Type(s): 
Tangent or normal♥ (1)
Matching task looking at perpendicular lines.
Type(s): 
Tangents and normals worksheet
Worksheets for practising finding the tangent and normal to a function.
Type(s): 
Teaching and Learning Plan: Geometric Sequences
Lesson ideas, discussion prompts and resources for teaching geometric sequences.
Type(s): 
Teddy Bear♥ (1)
Rich task for working with equations of circles.
Type(s): 
The addition rule
Activity for exploring Venn diagrams and deriving the addition rule.
Type(s): 
The fundamental theorem of calculus
Notes and questions on the fundamental theorem of calculus.
Type(s): 
The independent school
An exploration of the ideas behind independence.
Type(s): 
The meaning of force
Website explaining how the Newton as a unit of force is derived from acceleration in SI units.
Type(s): 
The moving man
Interactive simulation looking at motion.
Type(s): 
The power of outliers♥ (1)
Journal article on identifying and dealing with outliers (for lesson prereading).
Type(s): 
Thinking about gradient
A worksheet for taking a first look at gradients of curves.
Type(s): 
Thinking constantly
Problem and solution including Geogebra tool.
Type(s): 
To log or not to log?
Sorting activity looking at how to solve various equations.
Type(s): 
Tranformations of y = ln x
Applying combined transformations to the graph of y = ln x.
Type(s): 
Tranformations of y = lnx
Worksheet on transforming the graph of y = lnx.
Type(s): 
Transfomers
Rich task looking at types of graph transformation.
Type(s): 
Transformations of curves
Worksheets and notes for graph transformations.
Type(s): 
Transforming sin x
Card match activity for transformations of y = sin x.
Type(s): 
Translating or not?
Rich task considering reciprocal functions.
Type(s): 
Triangle number differences
A RISP (rich starting point) on proof and reasoning
Type(s): 
Trig equations worksheet♥ (2)
Simple worksheet of trigonometric equations involving identities.
Type(s): 
Trig equations worksheet
Simple worksheet of trigonometric equations involving identities.
Type(s): 
Trig equations worksheets♥ (1)
A set of worksheets and notes for solving trigonometric equations. Includes radians.
Type(s): 
Trigonometric equations
Fluency practice for solving AS trigonometric equations.
Type(s): 
Trigonometric equations
Notes and practice questions for solving trigonometric equations.
Type(s): 
Trigonometric Game: Guess Who Curves
A game for students to develop fluency in trigonometric graph transformations. Instructions are included.
Type(s): 
Trigonometric identities worksheets♥ (1)
Proof and practice for trigonometric identities.
Type(s): 
Turning Points Worksheets♥ (2)
Worksheets on locating and identifying turning points.
Type(s): 
Units and prefixes
Rules for units and prefixes, including a short exercise.
Type(s): 
Using Indices
Teaching notes and card match activity for fractional and negative indices.
Type(s): 
Vectors
Mixed M1 vector resources including components and resultant vectors.
Type(s): 
Vectors
Worksheet for practising vectors.
Type(s): 
Vectors
Question looking at parallel vectors.
Type(s): 
Vectors
Slides and activities for teaching vectors (designed for GCSE).
Type(s): 
Vectors♥ (1)
Worksheet from Adam Ball on magnitude and direction.
Type(s): 
Vectors
Notes on working with vectors.
Type(s): 
Velocitytime worksheet♥ (2)
Worksheet on kinematic graphs.
Type(s):