OCR A-level Maths June 2023 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, 41 minutes, marked line by line. Free, no account.
- Linearising power/exponential models with logs
- Integration by substitution
- Addition, double-angle and half-angle identities
- Fixed-point iteration and staircase/cobweb diagrams
- Rational binomial expansions and approximation
What it tested
- Pure100 marks
- Q1Non-right triangles and the ambiguous case5 marks
- Q2Algebra entry check: indices, surds and exact valuesLogarithms and exponential equations8 marks
- Q3Derivatives from first principlesAntiderivatives and the fundamental theorem7 marks
- Q4Magnitude, direction and vector geometryVectors: components, position and subtraction8 marks
- Q5Composite/inverse functions and domain/rangeModulus graphs, equations and inequalities8 marks
- Q6Stationary points, optimisation and curvatureProduct, quotient and chain rules9 marks
- Q7Addition, double-angle and half-angle identitiesUnit-circle trigonometry and periodic graphs9 marks
- Q8Rational binomial expansions and approximationQuadratics: square form, discriminants and roots9 marks
4 more questions
- Q9Parametric models, tangents and parameter domainsImplicit differentiation and parametric curves6 marks
- Q10Fixed-point iteration and staircase/cobweb diagramsBracketing roots and failure of sign-change arguments9 marks
- Q11Linearising power/exponential models with logsSequences and series as financial/physical models12 marks
- Q12Integration by substitutionRational expressions and partial fractions10 marks
Every topic on OCR A-level Maths
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