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OCR GCSE Mathematics · J560

OCR GCSE Mathematics Paper 4 (Higher)

Length: 1 hour 30 minutes
Marks: 100
Weighting: 33⅓% of the GCSE

From the OCR specification (opens in a new tab), Version 1.7 (April 2025), PDF page 10.

12 sections · 158 revision notes · 19 past papers

Foundation tier students sit Paper 1 (Foundation) instead, on the same topics.

What’s on Paper 4 (Higher)

OCR 1 Number Operations and Integers

Calculations with Integers · Number Theory · Mixed Operations · Inverse Operations6 notes

1.01 Calculations with Integers

1.01a Integer Arithmetic Free

1.02 Number Theory

Paper 4 (Higher) past papers

OCR 2 Fractions, Decimals and Percentages

Fractions · Decimals · Percentages · Ordering Numbers12 notes

2.01 Fractions

2.02 Decimals

2.02a Converting Decimals and Fractions 2 notes
- Converting Terminating Decimals and Fractions Pro
- Converting Recurring Decimals and Fractions Pro
2.02b

2.03 Percentages

2.04 Ordering Numbers

Fractions, Decimals and Percentages overview

OCR 3 Indices and Surds

Powers and Roots · Standard Form · Exact Calculations7 notes

3.01 Powers and Roots

3.02 Standard Form

3.03 Exact Calculations

Indices and Surds overview

OCR 4 Approximation and Estimation

Estimation Methods3 notes

4.01 Estimation Methods

Approximation and Estimation overview

OCR 5 Ratio, Proportion and Rates Of Change

Ratio Calculations · Proportionality · Growth and Decay11 notes

5.01 Ratio Calculations

5.02 Proportionality

5.02a Direct Proportion 3 notes

5.03 Growth and Decay

5.03a Exponential Growth and Decay 3 notes

Ratio, Proportion and Rates Of Change overview

OCR 6 Algebra

Algebraic Expressions · Formulae · Equations · Inequalities · Functions · Sequences25 notes

6.01 Algebraic Expressions

6.02 Formulae

6.03 Equations

6.04 Inequalities

6.04a One-Variable Inequalities 2 notes
- Linear Inequalities and Number Lines Pro
- Quadratic Inequalities and Set Notation Pro
6.04b

6.05 Functions

6.05a Function Notation Pro

6.06 Sequences

6.06a Sequence Generation 3 notes

Algebra overview

OCR 7 Graphs of Equations and Functions

Function Graphs · Linear Graphs · Curve Transformations · Graph Interpretation17 notes

7.01 Function Graphs

7.01a Coordinates Free
7.01b Plotting Graphs Pro
7.01c Sketching Polynomials 2 notes
- Linear, Cubic and Reciprocal Graphs Pro
- Quadratic Graphs: Roots and Turning Points Pro
7.01d Exponential Graphs Pro
7.01e Trigonometric Graphs Pro
7.01f Circle Equations Pro

7.02 Linear Graphs

7.02a Linear Equations and Graphs 3 notes

7.03 Curve Transformations

7.03a Graph Transformations Pro

7.04 Graph Interpretation

7.04a Real-World Graphs Pro
7.04b Gradients and Rates of Change 3 notes
- Linear Gradients and Constant Rates of Change Pro

Graphs of Equations and Functions overview

OCR 8 Basic Geometry

Geometric Conventions · Constructions · Angles · Polygon Properties · Circle Geometry · 3D Shapes28 notes

OCR 9 Congruence and Similarity

Isometric Transformations · Congruence · Vectors · Similarity11 notes

9.01 Isometric Transformations

9.02 Congruence

9.03 Vectors

9.04 Similarity

Congruence and Similarity overview

OCR 10 Mensuration

Measurement Units · Perimeter · Area · Volume and Surface Area · Trigonometry19 notes

10.01 Measurement Units

10.02 Perimeter

10.03 Area

10.04 Volume and Surface Area

10.05 Trigonometry

Mensuration overview

OCR 11 Probability

Probability Fundamentals · Combined Events10 notes

11.01 Probability Fundamentals

11.02 Combined Events

Probability overview

OCR 12 Statistics

Sampling · Data Representation · Data Analysis9 notes

12.01 Sampling

12.01a Populations and Samples Free

12.02 Data Representation

12.02a Charts and Graphs 2 notes
- Charts for Categorical and Discrete Data Pro
- Comparative Bar Charts and Time Series Data Pro
12.02b Histograms and Cumulative Frequency Pro

12.03 Data Analysis

12.03a Averages and Spread 2 notes
- Averages and Range for Ungrouped and Grouped Data Pro
- Quartiles, Box Plots and Comparing Populations Pro
12.03b

Statistics overview

June

June 2024 04 (Higher)
Question paper Mark scheme Insert 1 Insert 2

November

November 2023 04 (Higher)
Question paper Mark scheme Insert 1 Insert 2 Insert 3 Insert 4 Insert 5 Insert 6 Insert 7

June

June 2023 04 (Higher)
Question paper Mark scheme

All OCR GCSE Mathematics past papers

Decimal Arithmetic

Pro

2.02c Decimal Division Pro

2.03c

Percentage Change and Interest

Pro

Direct Proportion with Powers and Roots

5.02b Inverse Proportion Pro

Exponential Growth and Decay Modeling

Pro

6.02d Standard Formulae Application Pro

6.02e Kinematics Formulae Pro

Pro

6.03d Graphical Solutions Pro

6.03e Iterative Methods Pro

Two-Variable Inequalities

Pro

6.06b Special Sequence Types Pro

Graphical Linear Inequalities

7.02b Parallel and Perpendicular Lines Pro

Gradients in Kinematic Graphs Pro

Average and Instantaneous Rates of Change Pro

7.04c Area Under Graphs Pro

Pro

8.02d Loci Construction Pro

Pro

8.03d Polygon Angles Pro

Symmetry

Pro

Angles in Semicircles

Pro

8.05d Angles in Segments Pro

8.05e Chords and Radii Pro

8.05f Tangent Properties Pro

8.05g Alternate Segment Theorem Pro

8.05h Cyclic Quadrilaterals Pro

Pro

10.03d Circle Area Pro

10.03e Composite Area Pro

Pyramids

Pro

Exact Trigonometric Values

Pro

10.05d Sine Rule Pro

10.05e Cosine Rule Pro

Pro

11.02d Tree Diagrams Pro

11.02e Addition Law Pro

11.02f Conditional Probability Pro

Data Misrepresentation

Pro

12.03c Scatter Graphs Pro

12.03d Outliers Pro

What’s on Paper 4 (Higher)

OCR 1 Number Operations and Integers

1.01 Calculations with Integers

1.02 Number Theory

Paper 4 (Higher) past papers

2024 papers

November

1.03 Mixed Operations

1.04 Inverse Operations

OCR 2 Fractions, Decimals and Percentages

2.01 Fractions

2.02 Decimals

2.03 Percentages

2.04 Ordering Numbers

OCR 3 Indices and Surds

3.01 Powers and Roots

3.02 Standard Form

3.03 Exact Calculations

OCR 4 Approximation and Estimation

4.01 Estimation Methods

OCR 5 Ratio, Proportion and Rates Of Change

5.01 Ratio Calculations

5.02 Proportionality

5.03 Growth and Decay

OCR 6 Algebra

6.01 Algebraic Expressions

6.02 Formulae

6.03 Equations

6.04 Inequalities

6.05 Functions

6.06 Sequences

OCR 7 Graphs of Equations and Functions

7.01 Function Graphs

7.02 Linear Graphs

7.03 Curve Transformations

7.04 Graph Interpretation

OCR 8 Basic Geometry

8.01 Geometric Conventions

8.02 Constructions

8.03 Angles

8.04 Polygon Properties

8.05 Circle Geometry

8.06 3D Shapes

OCR 9 Congruence and Similarity

9.01 Isometric Transformations

9.02 Congruence

9.03 Vectors

9.04 Similarity

OCR 10 Mensuration

10.01 Measurement Units

10.02 Perimeter

10.03 Area

10.04 Volume and Surface Area

10.05 Trigonometry

OCR 11 Probability

11.01 Probability Fundamentals

11.02 Combined Events

OCR 12 Statistics

12.01 Sampling

12.02 Data Representation

12.03 Data Analysis

June

2023 papers

November

June

2022 papers

2021 papers

2020 papers

2019 papers

2018 papers

2017 papers

2016 papers

2015 papers

2014 papers