A Level Maths Checklist

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 :smile:

Additional Information - read me first!

(edited 4 years ago)

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Reply 1

Notnek

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)

Reply 2

Notnek

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)

Reply 3

Notnek

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)

Reply 4

Infinite Series

Thanks for taking the time to organise it all :smile:

Reply 5

Y2_UniMaths

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

Reply 6

Cat?

I mean this is cool and all, but most people won't be satisfied unless there's a Further Decision 2 checklist.

☑️ A good thread

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 :smile:

Reply 9

Presto

Amazing! *-* Thank you soo much :smile:

Reply 10

username2998742

*insert Notnek Is A Hero Change My Mind meme*

Reply 11

justsomeguy17

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

Reply 12

absolutelysprout

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 :smile:

prsom

Reply 13

n.345

is this for a specific spec?