GCSE Maths Higher

Foundation is graded 1–5 and covers the content all GCSE Maths students need. Higher is graded 4–9 and covers that same core content in more depth, plus genuinely Higher-only material — surds, the quadratic formula, circle theorems, the sine and cosine rules, vectors, and more — that never appears on the Foundation paper.

The DfE sets a common subject-content framework every board — AQA, Pearson Edexcel, OCR, WJEC — must build against, so the core topics are the same. Exam boards can vary the exact question style and add extra depth or context, but the scope of what can be examined is set nationally.

GCSE Maths is split into a non-calculator paper and calculator papers, and Higher tier students sit the same paper structure as Foundation, just with harder content and questions weighted more towards reasoning and problem-solving.

Yes — all GCSE, Functional Skills, Key Stage 3 and ESOL practice on PassNova is completely free, with no sign-up needed to start. A free account is optional and just saves your progress.

Higher tier opens grades 4 to 9; a strong maths grade is required for medicine, engineering routes and most degree entry. Medicine and dentistry: At least 5 GCSEs at grades 9 to 7 including English, maths and sciences. Teacher training: GCSE grade 4 (C) in English and maths is required, plus science for primary teaching. Nursing degree entry: 4 or 5 GCSEs at grades 9 to 4 including English, maths and science. Police constable: GCSEs in English and maths plus A levels, or equivalent, for direct entry. Level 3 and higher apprenticeships: DfE lists GCSE grade 4 as the maths qualification for level 3–7 apprenticeships.

Yes — GCSE Maths Higher practice on PassNova is 100% free. There's no paywall and no sign-up needed to start (Premium adds timed exam papers of 40 questions in 75 minutes). A free account is optional and only saves your progress and badges.

No. You can start practising GCSE Maths Higher instantly with no account, no email and no card. 104 courses are fully free; every Premium question bank has a free 15-question taster.

PassNova has 190 exam-style GCSE Maths Higher questions and 6 timed 25-question practice tests, each with a clear explanation, plus topic-by-topic study mode.

GCSE Maths is set by the Department for Education's "Mathematics GCSE subject content and assessment objectives" (Crown copyright, ref DFE-00233-2013) — the common framework every exam board (AQA, Pearson Edexcel, OCR, WJEC) must build its specification against, so the same core content is examined regardless of board. Higher tier is graded 4–9 (Foundation is graded 1–5); Higher students are assessed on all standard and underlined content plus Higher-only content (marked in bold in the DfE document) — surds, the quadratic formula and completing the square, circle theorems, the sine and cosine rules, vectors, compound growth and decay, histograms with unequal class widths, cumulative frequency and conditional probability. This course focuses on that Higher-only content specifically, so it complements rather than repeats PassNova's GCSE Maths Foundation course. Assessment objectives are weighted 40% standard techniques, 30% reasoning, 30% problem-solving at Higher (50/25/25 at Foundation) — Higher tier leans more on multi-step reasoning. Checked against the DfE subject content in September 2026.