OCR A-level Maths June 2019 Paper 1
- H240/01
- Pure mathematics
- 2 hours
- 100 marks
Question paper, Mark scheme, Examiner report: on the OCR website.
Practise this paper's topics
5 new exam questions, 36 minutes, marked line by line. Free, no account.
- Product, quotient and chain rules
- Fixed-point iteration and staircase/cobweb diagrams
- R-sine/cosine forms and extrema
- Integration by parts, including repeated use
- Geometric progressions and convergence
What it tested
- Pure100 marks
- Q1Inequalities and solution setsQuadratics: square form, discriminants and roots4 marks
- Q2Magnitude, direction and vector geometryVectors: components, position and subtraction8 marks
- Q3Composite/inverse functions and domain/rangeQuadratics: square form, discriminants and roots7 marks
- Q4Sequences and series as financial/physical modelsArithmetic progressions and proof of their sum7 marks
- Q5Implicit differentiation and parametric curvesTangents, normals and increasing/decreasing intervals8 marks
- Q6Derivatives from first principles6 marks
- Q7Geometric progressions and convergenceLogarithms and exponential equations8 marks
- Q8Separable differential equations and interpretationConnected rates and setting up differential equations8 marks
4 more questions
- Q9R-sine/cosine forms and extremaShifts, stretches and reflections11 marks
- Q10Fixed-point iteration and staircase/cobweb diagramsRadians, arc lengths and sector areas11 marks
- Q11Integration by parts, including repeated useDefinite integrals, areas and limiting strips10 marks
- Q12Product, quotient and chain rulesStationary points, optimisation and curvature12 marks
Every topic on OCR A-level Maths
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