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I’ve started using biology paper 1 course for my year 9 son as the school has started some of the gcse content already. We will go on to buy the full version in year 10. The notes and quizzes are very good. Some pictures/diagrammes alongside the notes will really help.
OCR (Spec A) A-Level Maths Revision Guide
OCR Specification A - AS-Level Maths (H230) OCR Specification A - A-Level Maths (H240)
Revising for A Level Maths can feel a bit overwhelming at first – especially when you’re not sure what each exam involves. Don’t worry! This guide breaks down the OCR Maths exams and gives you practical revision tips to help you feel confident on exam day 💪
📑 How Many Papers Are There?
📘For OCR A A-Level Maths, you’ll sit three exam papers:
✅ Paper 1: Pure Mathematics
✅ Paper 2: Pure Mathematics and Statistics
✅ Paper 3: Pure Mathematics and Mechanics
Each paper counts for one third (33⅓%) of the final A Level grade.
OCR (Spec A) A Level Maths Paper 1
⏰Duration: 2 hours
🏆Marks: 100 marks (33.3% of total grade)
📌Content: This paper tests only Pure Maths and includes both AS and A Level content. It’s all about strong algebra, calculus, and problem-solving.
Key Pure Mathematics content ✏️
Proof
Proof by contradiction
Disproof by counterexample
Algebraic proof
Algebra and functions
Laws of indices and surds
Quadratic functions and graphs
Polynomials (including factors and remainder theorem)
Solving equations and inequalities
Composite and inverse functions
Coordinate geometry
Straight lines
Circles (equations and tangents)
Sequences and series
Arithmetic and geometric sequences
Binomial expansion (including negative and fractional powers at A Level)
Trigonometry
Trig identities and equations
Radians
Graphs of trig functions
Use of sine and cosine rules
Trig modelling
Calculus
Differentiation and integration techniques
Product, quotient and chain rules
Integration by substitution
Differentiation and integration of exponential and trig functions
Using calculus for optimisation, rates of change and kinematics
Differential equations (basic first-order)
❓Question Types: This paper is 100% Pure Maths and focuses on technique, accuracy and problem-solving.
Short-answer questions: e.g., simplify, solve, differentiate, integrate.
Structured multi-step problems: combine algebra, calculus and trigonometry in applied contexts.
Proof questions: “Show that…”, requiring logical reasoning and clear steps.
Graph interpretation: sketch curves, identify asymptotes, interpret transformations.
OCR (Spec A) A-Level Maths Paper 2. Pure Mathematics and Statistics
⏰Duration: 2 hours
🏆Marks: 100 marks (33.3% of total grade)
📌Content: This paper combines Pure Maths (same content as Paper 1) with Statistics, often in real-world contexts.
Statistics content 📈
Statistics focuses on data, probability and interpretation.
Data handling
Sampling techniques and bias
Large Data Set (LDS) analysis
Use of technology and interpretation of real data
Statistical measures
Mean, median, variance and standard deviation
Coding and use of formulas
Probability
Laws of probability
Conditional probability
Venn diagrams and tree diagrams
Statistical distributions
Binomial distribution
Normal distribution
Using tables and standardisation
Hypothesis testing
Tests using the binomial and normal distributions
Interpreting results in context
❓Question Types: Pure Maths questions may appear on their own or combined with statistics.
Pure Mathematics question types ✏️
Same style as Paper 1 but often includes more advanced integration techniques and logarithmic/exponential applications.
Statistics question types 📈
Statistics questions often require both calculation and explanation.
Short-answer calculations: probabilities, summary statistics.
Interpretation questions: explain trends, compare data sets.
- Applied problems: real-world contexts requiring probability models or hypothesis tests.
- Extended reasoning: justify assumptions, interpret results in context.
OCR (Spec A) A-Level Maths Paper 3. Pure Mathematics and Mechanics
⏰Duration: 2 hours
🏆Marks: 100 marks (33.3% of total grade)
📌Content: This paper combines Pure Maths (again, the same core content) with Mechanics, which applies Maths to motion and forces.
Mechanics content 🧱
Mechanics is about modelling physical situations using Maths.
Quantities and units
Scalars and vectors
Modelling assumptions
Kinematics
Motion in a straight line
SUVAT equations
Displacement–time and velocity–time graphs
Forces and Newton’s laws
Newton’s First and Second Laws
Force diagrams
Resultant forces and equilibrium
Moments
Calculating moments
Equilibrium involving moments
Work, energy and power
Work done by a force
Kinetic and potential energy
Power calculations
Variable acceleration
Modelling acceleration as a function
Using calculus to solve mechanics problems
❓Question Types: These questions often use real-world scenarios and test how well you apply Maths to physical situations.
Pure Mathematics question types ✏️
Again, these are similar to Paper 1.
Mechanics question types 🧱
Mechanics questions are usually set in real-life motion and force scenarios.
- Diagram-based questions: draw force diagrams, interpret motion graphs.
- Structured multi-part problems: calculate acceleration, velocity, forces and resolve components.
- Modelling questions: apply assumptions (e.g., smooth surface, particle model) and interpret results.
🔍 General Features Across All Papers
- No multiple-choice questions – all require full working.
- Command words: Simplify, Solve, Find, Show that, State, Calculate, Sketch, Interpret, Explain.
- Marks split between method and accuracy – clear working is essential.
- Formula booklet provided; calculators allowed.
- Synoptic assessment: Pure maths integrated with applied contexts (statistics or mechanics).
- Extended-response questions: often require interpretation, justification, and clear communication of reasoning.
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OCR-A A-Level Maths Paper 1 | Past Papers
OCR A A Level Maths Paper 2 | Past Papers
OCR-A A-Level Maths Paper 3 | Past Papers
OCR (Spec A) AS Level Maths Paper 1
📑 Paper 1: Pure Mathematics and Statistics
⏰Duration: 1 hour 30 minutes
🏆Marks: 75 marks (50% of total grade)
📌Content: A mix of Pure Maths skills and Statistics, focusing on problem-solving, interpretation and clear mathematical working.
Pure Mathematics content ✏️
Proof
- Simple algebraic proof
- Proof by contradiction
Algebra and functions
- Manipulating expressions (factorising, expanding, simplifying)
- Quadratics (completing the square, solving equations)
- Functions and function notation
- Sketching and interpreting graphs#
Coordinate geometry
- Straight line graphs
- Gradients, intercepts and equations of lines
Sequences and series
Arithmetic and geometric sequences
Finding the nth term
Sum of sequences
Trigonometry
Trig ratios and identities
Solving trig equations
Graphs of sine, cosine and tangent
Calculus
Differentiation from first principles
Using differentiation to find gradients, tangents and stationary points
Basic integration and finding areas under curves
Statistics content 📈
Statistics questions often involve real-life contexts and require interpretation as well as calculation:
Sampling
- Types of sampling methods
- Understanding bias and reliability
- Data presentation and interpretation
Histograms
Cumulative frequency diagrams
Interpreting graphs and tables
Measures
Mean, median, mode
Range, quartiles and interquartile range
Standard deviation (using the formula)
Probability
Basic probability rules
Venn diagrams and tree diagrams
Conditional probability
Statistical distributions
The binomial distribution
Using the binomial formula to calculate probabilities
❓Question Types: This paper is all about combining mathematical techniques with statistical reasoning.
You will find:
Pure Mathematics question types ✏️
Algebra and Functions:
- Simplify expressions, factorize, solve quadratics and simultaneous equations.
Rearrange formulae, work with surds and logarithms.
Calculus:
- Differentiate and integrate polynomials and simple functions.
- Apply to tangents, normals and areas under curves.
Trigonometry:
Solve trig equations, use identities and sketch graphs.
Sequences & Series:
- Arithmetic and geometric progressions, binomial expansion.
Proof:
- Show that statements are true using algebraic or numerical reasoning.
Statistics question types 📈
Statistics questions usually involve real-world data and require both calculation and explanation:
Data Analysis:
- Interpret tables, charts, and calculate mean, median, variance, standard deviation.
Probability:
Tree diagrams, conditional probability, independence.
Distributions:
- Binomial distribution and its applications.
Large Data Set:
- Questions based on real-world data requiring interpretation and summary statistics.
OCR A AS Level Maths Paper 1 | Past Papers
OCR (Spec A) AS Level Maths Paper 2
📑 Paper 2: Pure Mathematics and Mechanics
⏰Duration: 1 hour 30 minutes
🏆Marks: 75 marks (50% of total grade)
📌Content: The same Pure Maths content as Paper 1, plus Mechanics, which applies maths to physical situations involving motion and forces.
Mechanics content 🧱
Mechanics looks at modelling real-world motion using Maths. Key topics include:
Quantities and units
Scalars and vectors
Distance vs displacement
Speed vs velocity
Kinematics
Constant acceleration formulas (SUVAT)
Motion in a straight line
Graphs of displacement–time and velocity–time
Forces and Newton’s laws
Representing forces using diagrams
Newton’s First and Second Laws
Resultant forces and equilibrium
Motion under gravity
Vertical motion
Objects projected vertically upwards or downwards
Forces and mechanics modelling
Weight, normal reaction, tension
Modelling situations using equations of motion
❓Question Types: This paper tests Pure Maths skills again, but with Mechanics-style modelling and application questions. Expect the Pure Maths questions to be mixed in with mechanics questions, sometimes testing multiple ideas at once.
Pure Mathematics question types ✏️
Same core topics as Paper 1 (algebra, calculus, trig, sequences, proof).
- May include more emphasis on functions and transformations.
Mechanics question types 🧱
Mechanics questions almost always involve real-life motion or force scenarios:
Kinematics:
- Use SUVAT equations, interpret motion graphs, calculate displacement, velocity, acceleration.
Forces and Newton’s Laws:
- Identify forces, draw force diagrams, apply equilibrium and motion principles.
Moments:
- Solve problems involving turning effects and balance.
🔍 General Features Across Both Papers
- No multiple-choice questions.
- Command words: Simplify, Solve, Find, Show that, State, Calculate, Sketch, Interpret.
- Marks split between method and accuracy – showing working is essential.
- Formula booklet provided; calculators allowed.
- Synoptic questions: Pure maths combined with applied contexts (statistics or mechanics).
OCR A AS Level Maths Paper 2 | Past Papers
How to revise for OCR A Level Maths
✨Here are some top tips to make your revision more effective:
1. Prioritise Pure Maths 💡
Pure Maths appears in all papers, so it should be your main revision focus. Make sure you’re confident with:
Algebraic manipulation
Differentiation and integration
Functions and graphs
2. Practise exam questions regularly ✏️
Maths is a skill – the more questions you do, the better you get.
Start with topic-based questions
Build up to full past papers
Always check examiner reports to see common mistakes
Use the links on this page to take you to past papers!
3. Know your formulas inside out 📐
Some formulas are given, others aren’t.
Create a formula checklist
Practise recalling formulas under time pressure
4. Don’t ignore Statistics or Mechanics 📈⚙️
Even if you prefer Pure Maths, Statistics and Mechanics can’t be neglected.
Practise interpreting data clearly in Statistics
Practise drawing clear force diagrams in Mechanics
5. Focus on problem-solving and reasoning 🧠
Many A Level questions aren’t routine.
Expect unfamiliar contexts
Practise explaining your method in words, not just numbers
6. Learn from mistakes 🔁
Every wrong answer helps if you use it properly:
Identify where you lost marks
Redo similar questions
Keep a list of topics you find hardest
Final thoughts 🚀
OCR A A Level Maths rewards strong fundamentals, consistent practice and clear mathematical thinking. If you stay organised, practise regularly and focus on understanding why methods work, you’ll be in a great position on exam day
You’ve got this! 😊