GCSE Higher · grades 4–9 · 20% of marks
GCSE Higher — Geometry and measures
20% of a GCSE Higher entry is geometry and measures, spread across all three papers rather than gathered into one. The DfE lists 25 content statements for geometry and measures at this tier, and the question bank is organised by them rather than by chapter headings, so you can see exactly which one you are weak on. Expect geometric terms, notation and diagrams, ruler and compass constructions and loci, angle facts, parallel lines and polygons, properties of triangles and quadrilaterals, congruence criteria for triangles and geometric reasoning and simple proofs. Higher only: combinations of transformations and invariance, circle theorems, the sine rule and the cosine rule and area of a triangle: ½ab sin C. A Foundation entry is never asked for these. 40% of the marks are AO1, for applying a standard technique correctly, and the remaining 60% are for reasoning and for solving problems — so an answer with no working rarely scores everything that was available. Most of this area is natural Paper 1 material, so practise it without a calculator before you practise it with one.
- G1 — Geometric terms, notation and diagrams
- G2 — Ruler and compass constructions and loci
- G3 — Angle facts, parallel lines and polygons
- G4 — Properties of triangles and quadrilaterals
- G5 — Congruence criteria for triangles
- G6 — Geometric reasoning and simple proofs
- G7 — Transformations: rotation, reflection, translation, enlargement (part Higher)
- G8 — Combinations of transformations and invariance (Higher only)
- G9 — Circle definitions and parts of a circle
- G10 — Circle theorems (Higher only)
- …and 15 more geometry and measures statements at this tier
Practise
The 25 DfE statements in geometry and measures at Higher
Related
Questions people ask
How much of the GCSE Higher paper is geometry and measures?
20% of the total marks, and the three papers each carry an equal share of the qualification, so it is spread across all of them rather than concentrated in one.
How many topics are there in geometry and measures at GCSE Higher?
25 DfE content statements, coded G1 to G25 within this area. Every question in the bank is tagged to one of them.
Which geometry and measures topics are Higher only?
Combinations of transformations and invariance (G8), Circle theorems (G10), The sine rule and the cosine rule (G22) and Area of a triangle: ½ab sin C (G23). A further 4 statements have a Higher-only part inside otherwise shared content.
Can I use a calculator for geometry and measures questions?
Paper 1 is non-calculator; Papers 2 and 3 allow one. Of the 25 statements in this area, 16 are naturally non-calculator and 5 naturally calculator, with the rest workable either way — so practise both.
What kind of marks does geometry and measures carry?
The GCSE Higher split is 40% AO1 (use and apply standard techniques), 30% AO2 (reason, interpret and communicate) and 30% AO3 (solve problems in and out of context). Questions in this area are set across all three.
Are these past paper questions?
No. Every question at /gcse-higher is original, written to the DfE content statements and checked before it is published. We do not host past papers or mark schemes.