# A Level Further Maths OCR Past Papers

## AS and A Level Further Mathematics A (NEW SPEC)

### OCR A-Level Past Papers June 2022

### OCR A-Level Past Papers November 2021

### OCR A-Level Past Papers November 2020

### OCR A-Level Past Papers June 2019

### OCR A-Level Past Papers June 2018

### Sample Assessment Material

### Other Resources

## AS and A Level Further Mathematics A (RESIT ONLY)

### OCR A-Level Further Pure 1 Past Papers (Old Specification)

### OCR A-Level Further Pure 2 Past Papers (Old Specification)

### OCR A-Level Further Pure 3 Past Papers (Old Specification)

**OCR A Level Further Maths Spec at a glance**

The OCR A level further maths specification is very challenging. The OCR further maths exam structure and content is detailed below.

**Pure core 1 (Y540)**

Exam Structure:

·75 marks

·1 hour 30 mins

·25% of the qualification

·Examines pure maths content with long and shorter problem-solving questions.

**Pure core 2 (Y541)**

Exam Structure:

- 75 marks
- 1 hour 30 mins
- 25% of the qualification
- Assesses content from pure core maths with long and short questions.

**Optional Exams **

Students must complete both core modules and corresponding exams along with two from the list below in order to obtain an A level qualification:

Statistics (Y542)

- 75 marks
- 1 hour 30 mins
- 25% of the qualification
- Assesses content from statistics topics as detailed below.

Mechanics (Y543)

- 75 marks
- 1 hour 30 mins
- 25% of the qualification
- Assesses content from mechanics topics as detailed below.

Discrete mathematics (Y544)

- 75 marks
- 1 hour 30 mins
- 25%
- Assesses content from discrete mathematics as detailed below.

Additional pure mathematics (Y545)

- 75 marks
- 1 hour 30 mins
- 25% of the qualification
- Assesses content from additional pure mathematics as detailed below.

**Content Summary: **

The following topics are covered in each exam:

Pure mathematics

- Proof
- Complex numbers
- Matrices
- Further vectors
- Further algebra
- Series
- Hyperbolic functions
- Further calculus
- Polar coordinates
- Differential equations

Statistics

- Probability
- Discrete random variables
- Continuous random variables
- Linear combinations of random variables
- Hypothesis tests and confidence intervals
- Chi-squared tests
- Non-parametric tests
- Correlation
- Linear regression

Mechanics

- Dimensional analysis
- Work, energy and power
- Impulse and momentum
- Centre of mass
- Motion in a circle
- Further dynamics and kinematics

Discrete mathematics

- Mathematical preliminaries
- Graphs and networks
- Algorithms
- Network algorithms
- Decision making in project management
- Graphical linear programming
- The simplex algorithm
- Game theory

Additional pure mathematics

- Sequences and series
- Number theory
- Groups
- Further vectors
- Surfaces and partial differentiation
- Further calculus

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