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Mathematics — Keywords & Key Terms — Definitions Glossary (2026)

OCR A Level Mathematics A (H240)

Topic-by-topic keywords, key terms and definitions for precise exam language—separate from our revision checklists (topic coverage) and formula sheets (equations).

Keywords & Key Terms — definitions

Examiner-style keywords and definitions organised by syllabus topic. Terms are tagged Essential (start here), Core (typical exam standard), and Advanced for harder distinctions — tick each row when you can recall it. Your progress is saved in this browser for this list.

OCR A Level Mathematics (H240)

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OCR A Level Mathematics (H240)

OCR A Level Mathematics A (H240)

OCR Mathematics A (H240) covers Pure Mathematics, Mechanics and Statistics across Papers 1–3, with statistical inference based on the large data set. Pure topics span algebra, functions, calculus, trigonometry, vectors and numerical methods.

Mark schemes: OCR mark schemes split into M (method), A (accuracy) and B (independent) marks; named results such as the Newton–Raphson iteration, the chain/product/quotient rules, or the binomial expansion should be quoted before use. Exact answers in surd, fractional or π form unless the question states otherwise; statistics conclusions must reference H₀, the significance level and the context.

Active recall: 0 / 22 terms ticked

RecalledTopicLevelKeywordDefinition
Pure — algebra, calculus & trigonometryEssentialFunctionRule mapping each input in the domain to exactly one output in the range.
Pure — algebra, calculus & trigonometryCoreChain / product / quotient rulesStandard rules for differentiating composite, product and quotient functions.
Pure — algebra, calculus & trigonometryCoreImplicit differentiationDifferentiating both sides with respect to x when y is defined implicitly.
Pure — algebra, calculus & trigonometryCoreIntegration by partsReverse of product rule: ∫u dv = uv − ∫v du with sensible choice of u.
Pure — algebra, calculus & trigonometryCoreIntegration by substitutionReverse of chain rule using a substitution u = g(x) to simplify the integrand.
Pure — algebra, calculus & trigonometryCoreR-formulaWriting a cos θ + b sin θ as R cos(θ − α) with R = √(a²+b²) and tan α = b/a.
Pure — algebra, calculus & trigonometryAdvancedDouble-angle identitiessin 2θ = 2 sin θ cos θ; cos 2θ = 1 − 2 sin²θ — used in integration and proof.
Pure — vectors & numerical methodsCorePosition vectorVector from origin to a point, in 2D or 3D component form.
Pure — vectors & numerical methodsCore3D vectorsUse of i, j, k components; magnitude √(x² + y² + z²).
Pure — vectors & numerical methodsCoreParametric equationsx = f(t), y = g(t); dy/dx = (dy/dt)/(dx/dt).
Pure — vectors & numerical methodsCoreNewton–Raphson methodIteration xₙ₊₁ = xₙ − f(xₙ)/f′(xₙ) for refining roots of f(x) = 0.
Pure — vectors & numerical methodsAdvancedFailure of Newton–RaphsonIteration may diverge near a stationary point or with poor initial estimate.
MechanicsCoresuvat equationsConstant-acceleration formulas linking displacement, velocity, acceleration and time.
MechanicsCoreNewton's second lawResultant force on a body equals mass times acceleration: F = ma.
MechanicsCoreFrictionContact force opposing motion with limiting value F = μR at the point of slipping.
MechanicsCoreProjectile motionIndependent horizontal (constant velocity) and vertical (constant acceleration) components.
MechanicsAdvancedVariable accelerationa = dv/dt = d²s/dt²; integrate or differentiate to switch between s, v and a.
Statistics & probabilityCoreBinomial distribution B(n,p)Discrete model for the number of successes in n independent trials each with probability p.
Statistics & probabilityCoreNormal distribution N(μ,σ²)Continuous symmetric distribution standardised by Z = (X − μ)/σ.
Statistics & probabilityCoreHypothesis testTest of H₀ against H₁ using a sample, compared with significance level α.
Statistics & probabilityCoreRegression lineLeast-squares line y = a + bx best-fitting bivariate data, used for prediction within range.
Statistics & probabilityAdvancedCorrelation coefficient rProduct-moment measure of linear association; −1 ≤ r ≤ 1, with sign and strength interpreted in context.

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Mathematics (H240) — Keywords & Key Terms FAQ

What is on this OCR A Level Mathematics keywords and key terms list?
It is a topic-organised glossary of important mathematics terms with short, exam-style definitions aligned to OCR A Level Mathematics A (H240) (H240). It is designed for “define”, “state”, “outline” and “explain” questions where precise vocabulary earns marks.
How should I use this Mathematics glossary alongside past papers?
Tick terms when you can recall them without reading the answer, then check your wording against mark schemes. Pair vocabulary practice with past papers for A Level Mathematics (H240) so you apply terms in context.
Is this the same as a revision checklist or a formula sheet?
No. Revision checklists help you track which syllabus topics you have covered and your confidence—separate pages on Tutopiya. Formula sheets summarise equations and quantitative relationships. This page is only a definitions and key-terms glossary for Mathematics. Use formula sheets for equations; use this list for precise terms and definitions.
Can I download this Mathematics keywords and key terms list for free?
Yes. After a quick free sign-up you can download a UTF-8 CSV (opens in Excel or Google Sheets) or open a print-friendly page and save as PDF. Browsing the list on the page is free.
Is this Mathematics list aligned to the H240 specification?
Topic groupings and wording follow OCR A Level Mathematics A (H240) for OCR A Level. Always confirm final learning objectives and any regional options in your official specification and recent examiner reports for your exam session.
Why focus on definitions instead of full notes?
Mark schemes reward correct technical terms and clear links between ideas. A compact glossary lets you drill the exact language examiners expect for Mathematics at A Level, separate from longer notes or topic trackers.