OCR GCSE Maths June 2023 Paper 4
- J560/04
- Higher
- 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, 20 minutes, marked line by line. Free, no account.
- Circle theorems and angle chains
- Forming equations from situations
- Iterative formulae, roots and growth models
- Sets, Venn diagrams and sample spaces
- Areas of triangles, quadrilaterals and composites
What it tested
- Algebra32 marks
- Geometry22 marks
- Number16 marks
- Ratio and proportion14 marks
- Probability12 marks
- Statistics4 marks
- Q1Operation order, inverses and reciprocalsSubstitution and calculator brackets2 marks
- Q2Percentages, changes and multipliers3 marks
- Q3Sharing quantities and equivalent ratiosFractions within ratio problems5 marks
- Q4Original values, profit and simple interestOne-variable linear inequalities6 marks
- Q5Standard form and calculator entrySpeed, density, pressure and unit pricing6 marks
- Q6Ordered stem-and-leaf, averages, spread and grouped meansForming equations from situations4 marks
- Q7Cubic, reciprocal and contextual graphs4 marks
- Q8Areas of triangles, quadrilaterals and compositesPercentages, changes and multipliers6 marks
12 more questions
- Q9Forming equations from situationsLinear equations, including both sides8 marks
- Q10Sets, Venn diagrams and sample spacesConditional probability in tables, trees and Venn diagrams7 marks
- Q11Combined transformations and invarianceReflections, rotations and translations3 marks
- Q12Formal, inverse and composite functionsInput/output and inverse number machines6 marks
- Q13Algebraic fractions and rational equationsQuadratic formula and rearranged quadratics2 marks
- Q14Product counting and estimating powers/rootsExhaustive outcomes and experimental probability5 marks
- Q15Constructing direct/inverse proportional equations3 marks
- Q16Independent and dependent event treesConditional probability in tables, trees and Venn diagrams5 marks
- Q17Circle theorems and angle chainsCircle theorem proofs and linked geometry8 marks
- Q18Iterative formulae, roots and growth modelsSubstitution and calculator brackets7 marks
- Q19Graph gradients and areasSpeed, density, pressure and unit pricing5 marks
- Q20Cosine rule for sides and anglesArea of any triangle and mixed trigonometry5 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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