OCR MEI A-level Maths past papers
OCR MEI A-level Maths June 2023 Paper 3
- H640/03
- Pure mathematics and comprehension
- 2 hours
- 75 marks
Question paper, Question paper, Insert, Mark scheme, Examiner report: on the OCR website.
Practise this paper's topics
5 new exam questions, 45 minutes, marked line by line. Free, no account.
- Magnitude, direction and vector geometry
- Exponential models and their parameters
- Recursive sequences, monotonicity, periodicity and sigma
- Tangents, normals and increasing/decreasing intervals
- Non-right triangles and the ambiguous case
What it tested
- Pure75 marks
- Q1Trig identities and interval equationsAlgebra entry check: indices, surds and exact values3 marks
- Q2Modulus graphs, equations and inequalities4 marks
- Q3Algebra entry check: indices, surds and exact values3 marks
- Q4Polynomial algebra and the factor theorem4 marks
- Q5Tangents, normals and increasing/decreasing intervalsLines, gradients and perpendicularity8 marks
- Q6Magnitude, direction and vector geometryVectors: components, position and subtraction10 marks
- Q7Stationary points, optimisation and curvatureRadians, arc lengths and sector areas6 marks
- Q8Non-right triangles and the ambiguous caseCircles, tangents and intersections7 marks
7 more questions
- Q9Exponential models and their parametersStationary points, optimisation and curvature9 marks
- Q10Advanced trig equations and proofsAddition, double-angle and half-angle identities6 marks
- Q11Recursive sequences, monotonicity, periodicity and sigmaDefinite integrals, areas and limiting strips3 marks
- Q12Definite integrals, areas and limiting stripsTrapezium estimates and bounds3 marks
- Q13Recursive sequences, monotonicity, periodicity and sigmaDefinite integrals, areas and limiting strips4 marks
- Q14Rational expressions and partial fractionsRational integration and logarithmic forms3 marks
- Q15Recursive sequences, monotonicity, periodicity and sigma2 marks
Every topic on OCR MEI A-level Maths
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