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GCSE · 7 min read

How to go from a grade 5 to a grade 7 in GCSE Maths

The jump from 5 to 7 is not about working harder on the same questions. It is about becoming reliable on the middle-to-upper section of the Higher paper.

By Joseph Eno ·

A grade 5 student on Higher tier typically scores well in the first half of each paper and thins out afterwards. The route to 7 is to make the next block of questions as automatic as the first block already is.

The topics that carry the jump

  • Simultaneous equations, including one linear and one quadratic.
  • Quadratics in full: factorising, formula, completing the square, and graph interpretation.
  • Algebraic fractions and rearranging where the subject appears twice.
  • Trigonometry beyond right angles — sine rule, cosine rule and area of a triangle.
  • Similarity, congruence and scale factors for area and volume.
  • Compound growth and reverse percentages.
  • Probability trees and conditional probability without replacement.

A four-step working method

  1. Take a past paper and mark it strictly. Note the question number of every lost mark.
  2. Group the losses by topic, not by paper. Two or three topics will dominate.
  3. Spend two weeks on those topics only, doing question sets until you are accurate without notes.
  4. Retest with a different paper and confirm the losses have moved elsewhere. Then repeat.

Stop doing what feels productive

Re-watching a video of a topic you half-know, or redoing questions you already got right, produces the feeling of revision without the effect. If a practice session is comfortable, it is probably confirming what you have rather than adding to it.

Give exam technique its own slot

At this level, three or four marks per paper are routinely lost to rounding, missing units, unread command words and unwritten working. Recovering those is often worth as much as an entire new topic, and takes an afternoon rather than a month.

Tell me what your child is finding difficult.

No pressure and no sales call — just an honest conversation about whether I can help, and how.