Which GCSE Maths topics to practise by target grade
GCSE Maths contains a lot of topics.
Faced with a long revision list, students often make one of two mistakes.
Some begin at the very top and spend weeks practising calculations they could already do comfortably in Year 7.
Others jump immediately to the hardest topics they can find, on the grounds that a grade 7 student should surely be doing grade 7 questions.
Neither approach is particularly efficient.
Revision should concentrate mainly on the topics around the student’s target grade.
A useful starting rule is:
- Aiming for grade 4: concentrate on grade 3 and grade 4 topics.
- Aiming for grade 5: concentrate on grade 4 and grade 5 topics.
- Aiming for grade 7: concentrate on grade 6 and grade 7 topics.
This does not mean ignoring everything below those levels. Earlier skills remain essential. It means using limited revision time where it is most likely to produce additional marks.
Topics do not have official fixed grades
Before looking at particular topics, one warning is needed.
Exam boards do not officially assign one permanent grade to every topic.
A percentage question might involve finding 10% of an amount in one paper and solving a complicated reverse-percentage problem in another. Both involve percentages, but they are not equally difficult.
Similarly, solving a straightforward linear equation may be accessible to a student working towards grade 3. Forming an equation from a complicated geometrical problem may test much stronger reasoning.
Online resources such as Maths Genie group topics into approximate grade bands. These are useful revision guides, but they should not be treated as promises that learning a particular list automatically produces a particular grade.
Question wording, reasoning, accuracy and the ability to combine topics all matter.
Aiming for grade 4
Focus on grade 3 and grade 4 skills
For a student aiming to secure the standard pass, the priority should be dependable performance on accessible and medium-difficulty questions.
A grade 4 student does not need to answer everything on the paper. They do need to collect the marks available from the topics they have been taught.
Important grade 3 areas
Useful grade 3 topics commonly include:
- fractions;
- error intervals;
- estimation;
- ratio and proportion;
- percentages and percentage change;
- exchange rates;
- unit conversions;
- scale drawings;
- best-buy questions;
- substitution;
- solving linear equations;
- drawing linear graphs;
- area and circumference of circles;
- reflections, translations, enlargements and rotations;
- compound area;
- frequency trees;
- two-way tables.
These topics offer many opportunities to gain marks, but they also expose gaps in basic arithmetic.
A student may understand the percentage method but lose the mark through weak decimal multiplication. They may understand substitution but mishandle a negative number.
This is why revision should involve answering questions, not merely reading examples.
Important grade 4 areas
Once grade 3 work is becoming secure, useful grade 4 topics include:
- compound interest and depreciation;
- indices;
- prime factors, highest common factors and lowest common multiples;
- distance–time graphs;
- inequalities;
- forming expressions and equations;
- solving equations;
- linear sequences and the nth term;
- expanding and factorising expressions;
- Pythagoras’ theorem;
- angles in parallel lines;
- angles in polygons;
- surface area;
- volumes of prisms and cylinders;
- bearings;
- constructions and loci;
- plans and elevations;
- averages from frequency tables;
- probability;
- scatter graphs.
A student aiming for grade 4 does not need to master all of these perfectly before sitting a paper.
The goal is to develop enough reliable topics that they can collect marks across number, algebra, geometry, probability and statistics.
Practising only percentages and ratio may feel productive, but it leaves too much of the paper untouched.
Want to turn this advice into a clear revision task?
Choose a self-marking worksheet, give your child a short code and see their submitted score and answers afterwards.
Aiming for grade 5
Focus on grade 4 and grade 5 topics
Students aiming for grade 5 need a secure grade 4 foundation plus access to a broader collection of multi-step topics.
Grade 5 is available on both Foundation and Higher tier, although the experience of achieving it is rather different on each paper. Foundation offers grades 1–5, while Higher normally offers grades 4–9.
A Foundation student aiming for grade 5 needs to perform strongly across most of the paper.
A Higher student aiming for grade 5 can leave many of the hardest questions unanswered, but must collect the accessible and middle-section marks consistently.
Secure the grade 4 material first
A student should not abandon grade 4 topics simply because the target is grade 5.
They should still be confident with:
- percentages and compound change;
- indices;
- equations and inequalities;
- sequences;
- expanding and factorising;
- Pythagoras;
- angles in parallel lines;
- surface area and volume;
- probability;
- averages and scatter graphs.
These are not consolation topics. They are the foundation on which the grade 5 questions are built.
Important grade 5 areas
Useful grade 5 topics commonly include:
- writing ratios as fractions;
- writing ratios as linear relationships;
- direct and inverse proportion;
- reverse percentages;
- standard form;
- speed, distance and time calculations;
- density, mass and volume calculations;
- changing the subject of a formula;
- expanding and factorising quadratics;
- solving quadratic equations;
- quadratic graphs, cubic graphs and reciprocal graphs;
- simultaneous equations;
- graphical simultaneous equations;
- midpoints and gradients;
- equations of straight lines;
- Surface area of a sphere and volume of a sphere;
- Surface area of a cone and volume of a cone;
- sectors and arc lengths;
- similar shapes;
- right-angled trigonometry;
- exact trigonometric values;
- vectors;
- probability trees;
- Venn diagrams.
This is a substantial list. Students should not attempt to race through it in one revision weekend.
Choose a few topics, practise them properly and revisit them several days later.
Want to turn this advice into a clear revision task?
Choose a self-marking worksheet, give your child a short code and see their submitted score and answers afterwards.
Aiming for grade 7
Focus on grade 6 and grade 7 topics
A student aiming for grade 7 must sit Higher tier.
They need two things:
- strong accuracy on the grade 4 and grade 5 parts of the paper;
- enough success on grade 6 and grade 7 questions to move beyond the middle grades.
Students sometimes concentrate entirely on advanced topics and then drop marks through careless errors in easier questions.
A grade 7 result is not built solely from heroic answers near the end of the paper. It also depends on collecting the earlier marks efficiently.
Important grade 6 areas
Useful grade 6 topics commonly include:
- converting recurring decimals to fractions;
- fractional and negative indices;
- the product rule for counting;
- repeated percentage change;
- expanding triple brackets;
- parallel and perpendicular lines;
- inequalities on graphs;
- similar shapes including area and volume for similar shapes;
- enlargements with negative scale factors;
- circle theorems;
- cumulative frequency;
- box plots;
- capture–recapture.
These topics often extend skills that students have met earlier.
For example, repeated percentage change builds on ordinary percentages. Similar areas and volumes build on scale factors. Parallel and perpendicular lines build on gradients.
When a grade 6 topic is causing difficulty, the solution may be to repair the earlier skill rather than repeat the difficult question endlessly.
Important grade 7 areas
Useful grade 7 topics commonly include:
- surds;
- calculations using bounds;
- harder direct and inverse proportion;
- the quadratic formula;
- factorising harder quadratics;
- algebraic fractions;
- rearranging more difficult formulas;
- trigonometric graphs and exponential graphs;
- inverse functions and composite functions;
- iteration;
- the area of a triangle formula;
- the sine rule;
- the cosine rule;
- congruent triangles;
- three-dimensional Pythagoras and 3d trigonometry;
- histograms;
- conditional probability.
These topics require more than remembering a single procedure.
Students need to recognise when a method applies, organise several steps and maintain accuracy through the calculation.
Want to turn this advice into a clear revision task?
Choose a self-marking worksheet, give your child a short code and see their submitted score and answers afterwards.
Should students practise topics above their target grade?
Yes—but only in sensible proportions.
A student aiming for grade 4 can attempt occasional grade 5 questions. This provides challenge and may reveal unexpected strengths.
A grade 7 student should eventually encounter grade 8 and 9 material, particularly if their target may rise.
However, stretch work should not replace the central revision programme.
A useful rough balance is:
- about 70% of topic practice around the target grade and the grade immediately below;
- about 20% repairing earlier weaknesses;
- about 10% exploring more difficult material.
These percentages are not a scientific formula. They simply prevent revision drifting entirely towards work that is either too comfortable or currently inaccessible.
When should a student move to the next grade band?
Do not move on simply because one worksheet was completed successfully.
A topic is becoming secure when the student can:
- answer several questions accurately;
- explain the method;
- complete it again after a gap;
- recognise it in a mixed exercise;
- avoid relying on a worked example;
- correct an error when something goes wrong.
Once a student is reasonably secure across most of the current band, introduce more topics from the next grade.
There is no requirement to achieve perfection first. Maths knowledge develops through revisiting and connecting ideas.
The practical conclusion
Students do not need to revise every GCSE Maths topic equally.
Those aiming for grade 4 should devote most of their attention to grade 3 and grade 4 work.
Those aiming for grade 5 should concentrate on grade 4 and grade 5 material.
Those aiming for grade 7 should practise grade 6 and grade 7 topics while keeping their grade 4 and grade 5 skills accurate.
The target grade should guide the revision—not turn it into a rigid checklist.
Start with evidence from assessments. Select a manageable number of topics. Practise them properly. Revisit them. Then test them in mixed questions.
That is much more effective than beginning at the front of a revision guide and hoping enthusiasm survives all 200 pages.
Want to turn this advice into a clear revision task?
Choose a self-marking worksheet, give your child a short code and see their submitted score and answers afterwards.