Key Stage 4 (GCSE) · Years 10-11 · Geometry and measures · Mensuration and calculation
G20know the formulae for: Pythagoras’ theorem, a² + b² = c², and the trigonometric ratios, sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse and tan θ = opposite/adjacent; apply them to find angles and lengths in right-angled triangles and, where possible, general triangles in two and three dimensional figures
GCSE subject content
GCSE specifications in mathematics should require students to know the formulae for: Pythagoras’ theorem, a² + b² = c², and the trigonometric ratios, sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse and tan θ = opposite/adjacent; apply them to find angles and lengths in right-angled triangles and, where possible, general triangles in two and three dimensional figures
Tier: This item is set in underlined type: assessed for all students (part of the full Foundation tier). “and, where possible, general triangles” and “and three” (dimensional figures) are bold (Higher tier only).
Source: Department for Education, GCSE mathematics: subject content and assessment objectives. Crown copyright information reproduced under the Open Government Licence v3.0.
uk-gcse-ma-g-20. The DfE numbers this item 20 within Geometry and measures; the G20 form follows the awarding bodies' convention.Relevant worksheets
These resources support parts of the requirement. They are not presented as a complete assessment of every clause.
Related teaching units
These existing units provide relevant lesson material. A dedicated unit may still be needed where the requirement is broader.