How to get a grade A* in Edexcel A level Maths

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A grade A* means near-complete control of the course: you score on almost every part of every question, including the unstructured problems and the final parts written to stretch the strongest students. The gap between A and A* is rarely new content. It is accuracy under time pressure, rigour in proof and explanation, and confidence with problems that don't tell you the method.

What an A* asks of you

Very few dropped marks on routine questions. For most students, slips rather than missing knowledge are what stand between A and A*.
Rigour: complete proofs with concluding statements, change-of-sign arguments that mention continuity, identities proved from one side, and hypothesis-test conclusions with the right wording in context.
Problem solving: planning an unstructured question yourself, choosing which topics to combine.
Modelling: setting up a model or differential equation from words, solving it, interpreting the answer and criticising the model in specific terms.
Speed: enough time left to check your work and to think properly about the hardest parts.

The topics that separate A from A*

Harder calculus: differential equations built from a context and solved with given conditions; choosing between substitution, parts and partial fractions; areas with parametric curves; connected rates of change; second derivatives, concavity and points of inflection; differentiation from first principles, including \(\sin x\) and \(\cos x\).
Harder trigonometry: long identity proofs, equations that need an identity and then a substitution, small angle approximations, and trig inside calculus.
Proof: contradiction beyond the standard examples, and proofs that mix algebra with properties of numbers.
Sequences: recurrence relations (increasing, decreasing and periodic), sigma notation and series in modelling contexts.
Statistics: the normal approximation to the binomial with a continuity correction, conditional probability with the normal distribution, the points of inflection of the normal curve at \(\mu \pm \sigma\), and tests for a normal mean with the right choice of tail.
Mechanics: ladders in limiting equilibrium, projectiles in vector form or aimed at a target, variable acceleration in vector form, and pulley systems with slopes and friction.

Question types to master

Long unstructured questions: plan the route in a few lines before writing, so you don't start down the wrong path.
Comments on models that are specific to the context, and sensible refinements.
'Show that' questions with long chains of algebra, where every line must be correct.
Proofs by contradiction and by exhaustion, written with precise logical wording.
Hypothesis tests that ask for a critical region and the actual significance level.
Mechanics problems in several stages, such as before and after a string breaks.

A 10-week revision plan

Every day (about 20 minutes): your Daily 5, your flashcards and a short Extreme Custom paper of one or two questions.
Weeks 1 and 2: sit one timed Mock exam of each paper. Use Progress to list every subtopic where you are dropping marks, and set Hard and Extreme Custom papers on them.
Weeks 3 to 6: two timed Mock exams a week, plus one Extreme Custom paper on your weakest topics. Redo every dropped mark from Progress within two days.
Weeks 7 and 8: work on presentation. Rewrite your proofs, 'show that' answers, hypothesis-test conclusions and model comments until each would score every mark.
Weeks 9 and 10: three timed Mock exams a week (one of each paper) with checking time built in. In the last few days, switch to light review of the cheatsheets and your error log.

Using GCSE Paper Builder

Custom paper: set Hard and Extreme papers at a longer length on mixed subtopics, so every session stretches you.
Mock exams: sit full timed papers and aim to finish with time to check. Note both your score and where your time went.
Progress: keep pushing the weakest subtopics up the list, and redo every question you dropped a mark on until you get it right first time.
Notes: use the grade A* skill list as a final checklist, the cheatsheets for a last review, and this exam technique guide before each mock.
Daily 5 and Flashcards keep every topic fresh right up to the exam.
The Whiteboard is useful for planning unstructured questions on screen.
1-to-1 tutoring with Chhetri Academy can polish problem solving and presentation at the top grades; the first 30-minute trial lesson is free.

Timing strategy in the exam

Aim to finish with 10 to 15 minutes to spare, then check the places slips hide: long algebra, signs, limits of integration and rounding.
Don't rush the first half: a slip on an early question costs as much as a hard mark at the end.
In the first five minutes, glance at the long final questions so you know what is coming and can pace yourself.
On Paper 3, keep about 5 minutes of each section's hour for checking.

Traps at grade A*

Over-confidence: skipping steps in 'show that' answers, or relying on a calculator result where all stages must be shown.
Incomplete rigour: no concluding statement, no mention of continuity in a change-of-sign argument, or no reason for rejecting a root.
Vague comments on models ('it may not be accurate') that score nothing.
Losing accuracy through early rounding, or by using \(g = 9.81\) instead of 9.8.
Ignoring domains and ranges, for example of an inverse function or of \(\ln x\).
Neglecting Paper 3 because Pure feels harder: statistics and mechanics marks count just as much.
Spending so long checking early questions that you run short of time on the long final ones.

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