Sir Cumference
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AS/A Level Maths Checklist

For the new linear A Level Maths students are tasked with revising all of the content across a 2 year course (1 year for AS). To assist with revision, we have produced a checklist in the posts below that contains every topic that could be in your AS or A Level exams. The checklist includes links to videos and exam practice questions, the majority of which have come from ExamSolutions, MathsGenie, Physics & Maths Tutor and TLMaths. All four of these are excellent revision websites.

As well as the checklist below, here is a printable PDF checklist that you can use to help plan your revision. For more details about how to revise the new AS/A Level Maths have a read through this article. Also please use the Maths forum to ask maths questions, use the Maths Exams forum to discuss individual exams and chat about maths in the A Level Maths Study Group.

Remember that TSR will always be here to help you if you're stuck with a question or just need some moral support! Good luck

Additional Information - read me first!

  • This checklist is designed for students to see a list of all AS/A Level maths topics in one place and revise the "standard questions". What this list does not do is prepare you for exam questions that combine a variety of topics and have modelling/problem solving aspects to them. You must practice these types of questions and try full exam papers if you want to be well prepared for the real thing.
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  • This checklist was designed based on the Edexcel specification but it can also be used for AQA, OCR and OCR/MEI since the prescribed content is the same. However there may be subtle differences regarding which topics are more likely to appear in your exam. Many of the questions in the checklist come from old spec Edexcel papers but they can still be used by students taking exams for other exam boards. If you are not an Edexcel student then it will be a good idea to look online for exam questions from your exam board.
    .
  • Many of the exam questions in this checklist are old spec past paper questions. Because there are so many of them, old spec questions are a great revision resource but be aware that aspects of them could go beyond AS/A Level maths or could be harder/easier than a new spec question. If you are unsure about whether a certain question could be in your exam then ask your teacher or ask here.
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  • This checklist does not mention or contain any questions related to the Large Data Set for statistics. You must ensure that you revise the LDS as part of your statistics revision.
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  • If you notice any bad links, mistakes or if you have any questions about the content of AS/A Level maths then please post in this thread.

Last edited by Sir Cumference; 9 months ago
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Sir Cumference
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Year 1/AS Pure

⬜ Surds and indices
⬜ Algebraic expressions
⬜ Equations and inequalities
⬜ The discriminant
⬜ Sketching graphs
⬜ Transformations of functions
⬜ Coordinate geometry
⬜ The equation of a circle and use of circle theorems
⬜ The factor theorem and dividing polynomials
⬜ Year 1 methods of proof & disproof
⬜ Binomial expansion with positive integer powers
⬜ Trigonometry with triangles
⬜ Year 1 trigonometric equations & identities
⬜ Year 1 vectors
⬜ Differentiation from first principles
⬜ Year 1 differentiation of functions
⬜ Finding tangents and normals
⬜ Stationary points
⬜ Year 1 integration of functions
⬜ Area under curves
⬜ Exponential functions and e^x
⬜ Natural logarithms
⬜ Logarithms and non-linear data



Year 2 Pure

⬜ Proof by contradiction
⬜ Standard proofs
⬜ Partial Fractions
⬜ Algebraic division
⬜ The modulus function
⬜ Modulus transformations
⬜ Functions and mappings
⬜ Arithmetic sequences/series
⬜ Geometric sequences/series
⬜ Sigma notation
⬜ Recurrence relations
⬜ Binomial expansion with negative/fractional powers
⬜ Radians and applications
⬜ Small angle approximations
⬜ Reciprocal trigonometric functions
⬜ Pythagorean identities
⬜ Inverse trig functions
⬜ Addition formulae
⬜ Double angle formulae
⬜ Year 2 trig equations
⬜ Harmonic identities
⬜ Parametric equations
⬜ Derivatives of sin(x) & cos(x) from first principles
⬜ Derivatives of standard functions
⬜ The chain rule
⬜ The product rule
⬜ The quotient rule
⬜ Parametric differentiation
⬜ Implicit differentiation
⬜ Concave/convex functions and points of inflection
⬜ Rates of change
⬜ Locating roots
⬜ Iteration
⬜ The Newton-Raphson method
⬜ Integrating standard functions
⬜ Integrating f(ax+b)
⬜ Integration using trig identities
⬜ Integration by substitution
⬜ Integration by parts
⬜ Integration using partial fractions
⬜ Integration by inspection/recognition
⬜ Parametric integration
⬜ The trapezium rule
⬜ Solving differential equations
⬜ 3D coordinates and vectors
⬜ Geometric vector problems
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Sir Cumference
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Year 1/AS Statistics

⬜ Populations and sampling
⬜ Median, quartiles and percentiles
⬜ Box plots
⬜ Histograms
⬜ Variance and standard deviation
⬜ Interpolation
⬜ Outliers
⬜ Histograms
⬜ Correlation, regression and outliers
⬜ Year 1 probability
⬜ Discrete random variables
⬜ The binomial distribution
⬜ Hypothesis testing with discrete data



Year 2 Statistics

⬜ Non-linear regression
⬜ Measuring correlation
⬜ Hypothesis testing for correlation
⬜ Year 2 probability
⬜ The normal distribution
⬜ Approximating a binomial distribution
⬜ Hypothesis testing with the normal distribution
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Year 1/AS Mechanics

⬜ Modelling in mechanics
⬜ Displacement-time & velocity-time graphs
⬜ Constant acceleration (SUVAT) equations
⬜ Vertical motion under gravity
⬜ Forces and Newton's laws
⬜ Use of vectors
⬜ Connected particles
⬜ Pulleys
⬜ Variable acceleration in 1D



Year 2 Mechanics

⬜ Resolving forces (inclined planes)
⬜ Friction
⬜ Projectiles
⬜ Statics
⬜ Rigid bodies/moments
⬜ Vectors in kinematics
⬜ Variable acceleration in 2D
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Infinite Series
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Thanks for taking the time to organise it all
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Y12_FurtherMaths
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This is brilliant! Much better than I would’ve thought. Thank you so much
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Your Local Cat
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I mean this is cool and all, but most people won't be satisfied unless there's a Further Decision 2 checklist.
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8472
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☑️ A good thread
Tremendous work by all involved
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Sir Cumference
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Thanks to Lemur14 and entertainmyfaith who helped collate resources! Also thanks must go to Y12_FurtherMaths who gave me the idea and it probably wouldn't have been made without him
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Presto
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Amazing! *-* Thank you soo much
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Glaz
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*insert Notnek Is A Hero Change My Mind meme*
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justsomeguy17
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Oh god even though I know most of that stuff I still find that list incredibly daunting and scary.
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entertainmyfaith
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(Original post by Notnek)
Thanks to Lemur14 and entertainmyfaith who helped collate resources! Also thanks must go to Y12_FurtherMaths who gave me the idea and it probably wouldn't have been made without him
prsom
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n.345
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is this for a specific spec?
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(Original post by n.345)
is this for a specific spec?
Read the second bullet point in the additional information, that explains it better than I will

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n.345
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(Original post by Lemur14)
Read the second bullet point in the additional information, that explains it better than I will

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sorry I didn't see that! thanks
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Lemur14
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(Original post by n.345)
sorry I didn't see that! thanks
It says read first for a reason You're welcome

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The Learn Ranger
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Notnek

This is simply brilliant - thank you so much for putting it all together.
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Sir Cumference
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Notnek

This is simply brilliant - thank you so much for putting it all together.
Thanks
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RavenclawOwl
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This is incredible, thanks so much to everyone involved in making it! This will be such a useful resource for my maths revision 😀
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