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Key Stage 4 (GCSE) · Years 10-11 · Number · Structure and calculation

N8calculate exactly with fractions, surds and multiples of π; simplify surd expressions involving squares (e.g. √12 = √(4 × 3) = √4 × √3 = 2√3) and rationalise denominators

GCSE subject content

GCSE specifications in mathematics should require students to calculate exactly with fractions, surds and multiples of π; simplify surd expressions involving squares (e.g. √12 = √(4 × 3) = √4 × √3 = 2√3) and rationalise denominators

Tier: This item is set in standard type: all students develop confidence and competence with it. “surds” and the whole “simplify surd expressions ... rationalise denominators” clause are bold (Higher tier only); “and multiples of π” is underlined.

Source: Department for Education, GCSE mathematics: subject content and assessment objectives. Crown copyright information reproduced under the Open Government Licence v3.0.

ChalkBee reference: uk-gcse-ma-n-08. The DfE numbers this item 8 within Number; the N8 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.