The gap between an A and an A* in A-Level Maths is smaller in content terms than most students assume, and larger in consistency terms than most students expect. By the time a student can reliably score an A, they have usually covered the full specification. The remaining marks are concentrated in a small number of places: a handful of harder problem-solving questions per paper, and the accumulated cost of small errors across every paper.
That means the route to an A* looks different from the route to an A. Where moving from a C to a B is often about closing content gaps, moving from an A to an A* is mostly about precision, stamina on multi-step problems, and eliminating the kind of error that a student who 'understands' a topic still makes under pressure.
How the A* is actually awarded
A-Level Maths grades are set on the aggregate mark across all three papers (Pure, and the two applied papers covering Mechanics and Statistics), not on a separate exam. To be awarded an A*, a student must first reach the aggregate mark for an A grade overall, and then also meet a higher threshold on the total marks scored specifically on the Pure papers. In practice this means Pure performance is disproportionately important for an A*: a strong Pure score can carry a slightly weaker applied paper towards an A, but the A* threshold specifically checks Pure marks, so Pure cannot be neglected in favour of the applied content.
Where A-grade students actually lose the remaining marks
In lessons, the pattern is consistent: students capable of an A grade do not lose marks because a topic is unknown. They lose marks in a small number of recurring ways, each worth relatively little individually but adding up to several grade boundaries' worth of marks across a paper.
| Source of lost marks | Why it happens | Fix |
|---|---|---|
| Algebraic slips mid-solution | Correct method chosen, but a sign error or misremembered expansion derails the rest of the working | Slow down on the algebra specifically, and check each line rather than only the final answer |
| Multi-step 'show that' questions | The overall route is fine but one intermediate step is skipped or under-justified | Practise writing every logical step explicitly, even ones that feel obvious |
| Unfamiliar wording on familiar content | The method is known but the question disguises which topic it is testing | Practise unlabelled, mixed-topic questions rather than only chapter-by-chapter exercises |
| Running out of time on the final questions | Time lost earlier on questions that were within reach but taken too slowly | Practise strict per-question timing and a policy of moving on when a question overruns its mark allocation |
| Accuracy and rounding errors | Premature rounding partway through a calculation, or an answer given to the wrong degree of accuracy | Keep exact values or full calculator precision until the final line, and check what accuracy the question actually asks for |
The role of the hardest questions on each paper
Every A-Level Maths paper includes a small number of questions — often the last one or two on each section — that are designed to discriminate between an A and an A*. These questions typically combine two or three topics, require an unfamiliar first step, or ask for a general argument rather than a specific numerical answer. Getting comfortable with this style of question specifically, rather than only more of the standard mid-paper questions, is one of the highest-value uses of revision time for a student already at A-grade standard.
- Build a bank of past paper questions specifically from the final two questions of each paper section, across several years and, where useful, boards.
- Attempt them under time pressure first, then separately review with unlimited time to understand what the intended first step was.
- Look for recurring 'first move' patterns — a substitution, a factorisation, a sketch — that unlock the harder questions on a topic.
A worked example of the kind of gap that costs an A*
Consider a question that asks a student to prove a trigonometric identity and then use it to solve an equation over a given range. An A-grade student typically completes the proof correctly but, on the solving stage, forgets to find all solutions in the range, missing one because they stopped after the first quadrant. The proof itself carried perhaps four marks; the missed solution costs one or two more — small individually, but this exact pattern (correct method, incomplete final sweep) recurs across trigonometry, differentiation of implicit functions, and vectors, and collectively it is one of the largest sources of otherwise avoidable lost marks at this grade.
A realistic plan for closing the gap
- Confirm the content is genuinely complete by testing every specification point cold, not by assuming coverage because it was taught.
- Build a personal error log from every past paper and mock, recording the exact type of mistake, not just the topic.
- Rank error types by frequency, and target the top two or three specifically for several weeks before moving on.
- Practise the hardest style of question on each paper deliberately, rather than only mid-difficulty questions.
- Increase time pressure gradually: full papers at slightly reduced time allowances build the margin needed for exam-day nerves.
- Review every full past paper attempt against the mark scheme line by line, not just the final total.
What does not help
- Doing more content coverage when the content is already secure; the marginal value is low compared with fixing recurring error types.
- Only ever practising questions in the order they appear in the textbook, which never tests the selection skill that harder exam questions require.
- Ignoring the applied papers to focus purely on Pure; both applied papers still count towards the overall aggregate needed for an A*.
- Treating a single strong past paper score as evidence the grade is secure; consistency across several papers is what the aggregate threshold actually rewards.
The short version
- The A* threshold requires a high aggregate mark and a high Pure-specific mark, so Pure fluency is essential.
- A-grade students usually lose remaining marks to small, recurring error types rather than missing content.
- Deliberately practise the hardest style of question on each paper, not just mid-difficulty questions.
- Keep a personal error log and target the most frequent error type directly.
- Build stamina with full, timed papers, since accuracy typically drops in the final third under fatigue.