SGrade/A-Level Mathematics/Pure — Calculus — Core Methods
Pure — Calculus — Core Methods Practice Questions
Pure — Calculus covers Differentiation, integration, differential equations, fundamental theorem. These concepts appear in both pure paper 1 and pure paper 2, and form the foundation for all applied mathematics questions.
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Sample questions
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∫(6x² - 4x + 3)dx =
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Tests fundamental polynomial integration using power rule - core skill needed for all further calculus topics
The gradient of the curve y = x³ - 6x² + 9x + 2 at the point where x = 1 is:
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Tests basic power rule differentiation and substitution - foundation skill for all further calculus work
Find the derivative of f(x) = 3x⁴ - 2x³ + 5x - 7
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Tests fundamental power rule application with polynomial - core C1 skill that must be automatic for A-Level success
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