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GCSE Foundation · grades 1–5 · 15% of marks

GCSE Foundation — Geometry and measures

This is the geometry and measures practice for GCSE Foundation, the content area that carries 15% of the paper. The 21 statements below are the whole of geometry and measures for this tier — nothing outside them can be asked, which makes the revision list finite. The list includes 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. All of it is common to both tiers, so this page is as useful before a Higher paper as before a Foundation one. Only 50% of the paper is straight technique (AO1); 50% asks you to reason, interpret or solve a problem in context, and those marks are won by setting the work out clearly. Much of this is examined on Paper 1, where there is nothing to fall back on but written method.

  • 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
  • G9 — Circle definitions and parts of a circle
  • G11 — Geometrical problems on coordinate axes
  • G12 — Properties of 3D shapes
  • …and 11 more geometry and measures statements at this tier

Practise

GCSE Foundation · Geometry and measuresQuestion 1 of 20 · 0 correct
Practice mode· no pressure · hints available

Geometry and measures

G12

Intermediate

A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.

💡 Hints:
Printable worksheetNon-calculator sheetSample Paper 1Sample Paper 2

The 21 DfE statements in geometry and measures at Foundation

Higher-only statements are not listed here; statements with a Higher-only part are marked and the part is quoted.

G1Geometric terms, notation and diagramsnon-calculator
30 questions
G2Ruler and compass constructions and locinon-calculator
15 questions
G3Angle facts, parallel lines and polygonsnon-calculator
30 questions
G4Properties of triangles and quadrilateralsnon-calculator
30 questions
G5Congruence criteria for trianglesnon-calculator
30 questions
G6Geometric reasoning and simple proofsnon-calculator
30 questions
G7Transformations: rotation, reflection, translation, enlargementpart Highernon-calculator
Higher-only part: "and negative" — Foundation students can skip these.32 questions
G9Circle definitions and parts of a circlenon-calculator
30 questions
G11Geometrical problems on coordinate axesnon-calculator
30 questions
G12Properties of 3D shapesnon-calculator
30 questions
G13Plans and elevationsnon-calculator
10 questions
G14Standard units of measureeither paper
30 questions
G15Measuring, scale drawings and bearingseither paper
30 questions
G16Area of 2D shapes and volume of prismseither paper
30 questions
G17Circles, composite shapes, spheres, pyramids and conescalculator
30 questions
G18Arc lengths and sector areascalculator
30 questions
G19Congruence and similarity: lengths, areas and volumespart Highereither paper
Higher-only part: "areas and volumes" — Foundation students can skip these.30 questions
G20Pythagoras’ theorem and trigonometric ratiospart Highercalculator
Higher-only parts: "and, where possible, general triangles"; "and three dimensional figures" — Foundation students can skip these.30 questions
G21Exact trigonometric valuesnon-calculator
30 questions
G24Translations as vectorsnon-calculator
30 questions
G25Vector arithmetic and vector proofpart Highernon-calculator
Higher-only part: "use vectors to construct geometric arguments and proofs" — Foundation students can skip these.30 questions

Related

Geometry and measures at Higher20% of Higher marksRatio, proportion and rates of changeFoundation · 25% of marksAlgebraFoundation · 20% of marksNumberFoundation · 25% of marks

Questions people ask

How much of the GCSE Foundation paper is geometry and measures?

15% 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 Foundation?

21 DfE content statements, coded G1 to G25 within this area. Every question in the bank is tagged to one of them.

Is any geometry and measures content on this page Higher only?

No. Foundation pages only show statements a Foundation entry may be asked. The Higher-only geometry and measures material is on the GCSE Higher page for this area.

Can I use a calculator for geometry and measures questions?

Paper 1 is non-calculator; Papers 2 and 3 allow one. Of the 21 statements in this area, 14 are naturally non-calculator and 3 naturally calculator, with the rest workable either way — so practise both.

What kind of marks does geometry and measures carry?

The GCSE Foundation split is 50% AO1 (use and apply standard techniques), 25% AO2 (reason, interpret and communicate) and 25% 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-foundation is original, written to the DfE content statements and checked before it is published. We do not host past papers or mark schemes.

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