OCR GCSE Maths June 2023 Paper 5
- J560/05
- Higher
- Non-calculator
- 1 hour 30 minutes
- 100 marks
Question paper, Mark scheme, Examiner report: on the OCR website.
Practise this paper's topics
5 new exam questions, 18 minutes, marked line by line. Free, no account.
- Three binomials and non-monic factorisation
- Scatter graphs and predictions
- Vector geometric arguments and proofs
- Exact trigonometric values
- Recurring decimals as fractions
What it tested
- Geometry27 marks
- Algebra22 marks
- Number19 marks
- Ratio and proportion19 marks
- Statistics8 marks
- Probability5 marks
- Q1Fraction arithmetic and exact answersEquivalent fractions and mixed numbers3 marks
- Q2Angles at points, lines and parallel linesTriangles, interior and exterior polygon angles5 marks
- Q3Place value, ordering and decimal operations2 marks
- Q4Prisms, cylinders and surface areaAreas of triangles, quadrilaterals and composites3 marks
- Q5Scatter graphs and predictions8 marks
- Q6Direct and inverse proportion: tables and relationshipsForming equations from situations4 marks
- Q7Speed, density, pressure and unit pricingDirect and inverse proportion: tables and relationships5 marks
- Q8Estimation and sense checksSpeed, density, pressure and unit pricing5 marks
12 more questions
- Q9Sharing quantities and equivalent ratiosRatio notation and multiplicative comparison6 marks
- Q10Triangles, interior and exterior polygon anglesTwo linear simultaneous equations6 marks
- Q11Constructing direct/inverse proportional equationsPercentages, changes and multipliers4 marks
- Q12Quadratic sequence nth termsThe nth term of a linear sequence4 marks
- Q13Exact trigonometric valuesRight-triangle trigonometry in two dimensions6 marks
- Q14Quadratic and two-variable inequalitiesPlotting lines, gradient and intercept5 marks
- Q15Three binomials and non-monic factorisationMonic quadratics and difference of squares9 marks
- Q16Recurring decimals as fractionsFractional and negative indices6 marks
- Q17Perpendicular gradients and line equationsShape vocabulary, symmetry and quadrilaterals4 marks
- Q18Fractional and negative indicesLike terms and algebraic index rules3 marks
- Q19Independent and dependent event treesSharing quantities and equivalent ratios5 marks
- Q20Vector geometric arguments and proofsColumn vectors and vector arithmetic7 marks
June 2023 Higher grade boundaries
Marks needed across all three Higher papers, out of 300.
- Grade 9242
- Grade 8193
- Grade 7144
- Grade 6109
- Grade 574
- Grade 439
- Grade 321
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