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!

(edited 4 years ago)

Scroll to see replies

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 theorems

⬜ The factor theorem and dividing polynomials

1 ⬜ Year methods of proof & disproof

⬜ Binomial expansion with positive integer powers

⬜ Trigonometry with triangles

1 ⬜ Year trigonometric equations & identities

1 ⬜ Year vectors

⬜ Differentiation from first principles

1 ⬜ Year differentiation of functions

⬜ Finding tangents and normals

⬜ Stationary points

1 ⬜ Year integration of functions

⬜ Area under curves

⬜ Exponential functions and e^x

⬜ Logarithms

⬜ 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

2 ⬜ Year 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

(edited 4 years ago)

Year 1/AS Statistics

⬜ Populations and sampling

⬜ Median, quartiles and percentiles

⬜ Box plots

⬜ Histograms

⬜ Variance and standard deviation

⬜ Interpolation

⬜ Coding

⬜ Outliers

⬜ Histograms

⬜ Correlation, regression and outliers

1 ⬜ Year probability

⬜ Discrete random variables

⬜ The binomial distribution

⬜ Hypothesis testing with discrete data

Year 2 Statistics

⬜ Non-linear regression

⬜ Measuring correlation

⬜ Hypothesis testing for correlation

2 ⬜ Year probability

⬜ The normal distribution

⬜ Approximating a binomial distribution

⬜ Hypothesis testing with the normal distribution

(edited 4 years ago)

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

⬜ Moments

⬜ Resolving forces (inclined planes)

⬜ Friction

⬜ Projectiles

⬜ Statics

⬜ Rigid bodies/moments

⬜ Dynamics

⬜ Vectors in kinematics

⬜ Variable acceleration in 2D

(edited 4 years ago)

Thanks for taking the time to organise it all

This is brilliant! Much better than I would’ve thought. Thank you so much

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

*insert Notnek Is A Hero Change My Mind meme*

Oh god even though I know most of that stuff I still find that list incredibly daunting and scary.

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

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

Posted from TSR Mobile

Original post by Lemur14

Read the second bullet point in the additional information, that explains it better than I will

Posted from TSR Mobile

Posted from TSR Mobile

sorry I didn't see that! thanks

Original post by n.345

sorry I didn't see that! thanks

It says read first for a reason You're welcome

Posted from TSR Mobile

@Notnek

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

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

Original post by The Learn Ranger

Thanks

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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