GCSE maths · Revision · Foundation & Higher

GCSE maths revision:
what to do,
week by week

The GCSE maths revision that works is finding the weak topics, practising them with real exam questions, marking against the official mark scheme, and returning a few days later. This guide sets out what to revise in each area, the technique that saves marks, and a 12-week plan for summer 2027.

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What is the best way to revise GCSE maths?

Revise GCSE maths by doing exam questions, not by reading about them. Find the weak topics, practise them with real past-paper questions, mark every answer with the official mark scheme, and come back to the same topic a few days later. Re-reading notes and watching videos feel productive but move marks very little.

Start with our GCSE maths topic checklist. Everything below assumes you know which topics are red, amber and green.

The same approach works on every board. AQA, Pearson Edexcel and OCR examine identical content; only the look of the papers differs, which is why practice should use your own board's papers.

What to revise first in each GCSE maths area

For each area: the topics to secure first, and a question type that comes back series after series. Higher-only additions are marked.

Number

  • Fractions with all four operations, by hand
  • Percentages, prime factorisation, HCF and LCM
  • Standard form, rounding and estimation
  • Higher: surds, fractional indices, bounds
Comes up often

Write 360 as a product of prime factors, then solve a word problem about two buses leaving together.

The prime factor tree is the method mark; the LCM answers the story.

Where it usually goes wrong Estimation done with exact values. Round each number to 1 significant figure first, and write the rounded numbers down.

Algebra

  • Expanding and factorising; solving linear equations
  • Rearranging formulae; nth term; straight-line graphs
  • Higher: quadratics by all three methods, simultaneous equations, inequalities, functions, algebraic fractions, proof
Higher

Solve x² + 4x − 7 = 0, giving answers to 2 decimal places.

"2 decimal places" is the signal it won't factorise: formula or completing the square.

Where it usually goes wrong "Show that" answered in one line. Every step has to be on the page, because the steps are what is being marked.

Ratio, proportion and rates of change

  • Sharing in a ratio and multi-step ratio problems
  • Percentage change, reverse percentages and compound interest
  • Best buys, speed, density, pressure and unit conversions
  • Higher: y ∝ 1/x² and other proportion equations
Comes up often

After a 15% increase a price is £92. What was it before?

£92 ÷ 1.15 = £80. Taking 15% off £92 gives £78.20, which is wrong.

Geometry and measures

  • Angle rules, each with its reason
  • Area, volume, circles, Pythagoras and right-angled trigonometry
  • Transformations and constructions
  • Higher: sine and cosine rules, circle theorems, vectors, 3D trigonometry
Comes up often

Describe fully the single transformation that maps shape A onto shape B.

For a rotation, three things: angle, direction, centre. Two of three is not full marks.

Probability

  • Probabilities summing to 1 and relative frequency
  • Two-way tables, Venn diagrams, tree diagrams
  • Higher: conditional probability
Comes up often

The spinner is spun 200 times. How many times would you expect it to land on red?

Expected frequency = trials × probability. Quick, and often left blank.

Statistics

  • Averages from frequency tables; estimated mean from grouped data
  • Scatter graphs; comparing distributions
  • Higher: cumulative frequency, box plots, histograms

Where it usually goes wrong "Compare the distributions" with one comparison. It needs an average and a measure of spread, each said in the context of the question.

Exam technique that keeps marks your child has already earned

A lot of marks go on technique rather than maths. These habits matter most.

Three revision methods with strong evidence, used together

Put all three into each session. Then finish with past papers marked the proper way.

M1

how a mark scheme labels a method mark — mark past papers with the scheme, not just the answers

i

Spaced practice

Come back to a topic several times, spread out — say two days, a week and three weeks after first revising it. It feels harder than one long session, which is exactly why it sticks.

ii

Retrieval practice

Test from memory before looking anything up. A blank page and "everything you know about circle theorems" beats re-reading the notes on circle theorems.

iii

Interleaving

Mix topics in one sitting: a ratio question, then probability, then algebra. The exam never labels which topic a question is testing, so practice shouldn't either.

A 12-week GCSE maths revision plan for summer 2027

Twelve weeks before the first paper, which in a normal year means starting around late February or early March of Year 11. It assumes four or five sessions of 30 to 45 minutes a week. Foundation students leave out the Higher items.

WeekFocusWhat to do
1DiagnoseFill in the topic checklist. Sit a past paper, ideally all three, as a baseline.
2NumberFractions, percentages, indices, standard form. Non-calculator practice.
3Algebra 1Expanding, factorising, linear equations, rearranging, sequences.
4Algebra 2Graphs, simultaneous equations, inequalities. Higher: quadratics, functions, algebraic fractions.
5Ratio and proportionRatio problems, percentage change, compound interest, compound measures, proportion.
6CheckpointOne full timed paper. Re-rate the checklist. Redo the wrong-questions list.
7Geometry 1Angles, area, volume, circles, Pythagoras, right-angled trigonometry.
8Geometry 2Transformations, constructions, loci, bearings, vectors. Higher: sine and cosine rules, circle theorems.
9Probability and statisticsTrees, Venn diagrams, averages, charts. Higher: conditional probability, histograms, cumulative frequency.
10Mixed papersTwo full papers, one non-calculator and one calculator, marked with the scheme.
11Weakest topicsThe last reds and ambers. One more full paper.
12ConsolidateShort mixed sets only. Look over the formulae sheet. Keep sleep and routine steady.

Throughout: ten minutes of non-calculator arithmetic most days, and each week's topics revisited one and three weeks later. With fewer than twelve weeks, do weeks 1, 6 and 10 in full and spend the rest on the red topics that recur most — fractions, percentages, ratio and equations, plus quadratics and trigonometry on Higher. Confirm the 2027 paper dates on your board's final timetable.

How to use past papers so they actually raise the mark

How ClassArc classes fit around GCSE revision

In the revision months, a ClassArc teacher builds each 55-minute one-to-one class around your child's checklist and past-paper results rather than a fixed scheme, after checking what the school is revising that week. It is the same teacher throughout, so nothing is re-diagnosed from scratch.

Teacher and student work the same past-paper question on a shared worksheet, so the exact line where a method breaks is visible and fixed on the spot. Homework is a short set of exam questions on that day's topic, reviewed before the next class. Two classes a week suits most students; three in the final stretch.

The mark scheme is the most underused revision resource there is. It tells you what the working has to show.

On marking past papers

Week one starts with the checklist

When should GCSE maths revision start?
Structured revision usually starts about twelve weeks before the first paper, in late February or March of Year 11. Regular practice on earlier topics through Year 10 and the autumn of Year 11 makes those twelve weeks far lighter.
How many hours a week should my child revise GCSE maths?
The plan on this page assumes four or five sessions of 30 to 45 minutes a week. Short, frequent sessions with topics mixed together do more than one long weekend session.
Are GCSE maths past papers free?
Yes. AQA, Pearson Edexcel and OCR publish past papers and mark schemes on their own websites, though the most recent series is sometimes restricted to schools for a period.
Should Foundation students use the same revision plan?
Yes, minus the Higher items in each week. The time saved goes on making the shared topics fully reliable, which is where Foundation marks come from.
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