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# AS and A Level Further Mathematics B (MEI) - H635, H645

- Specification at a glance
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- Why choose us
- Planning and teaching
- Assessment
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- Specification at a glance
- Switch to OCR
- Why choose us
- Planning and teaching
- Assessment
- Textbooks & endorsed resources

# Specification at a glance

### Assessment overview

Paper | Marks | Duration | Weighting | insert text |

## Mandatory | ||||

## Pure core (Y420) | 144 raw (180 scaled) | 2 hour 40 mins | 50% | Section A – shorter questions with minimal reading and interpretation
Section B – longer questions and more problem solving |

## Major options | ||||

## Mechanics major (Y421) | 120 raw (120 scaled) | 2 hour 15 mins | 33⅓% | Section A – shorter questions with minimal reading and interpretation
Section B – longer questions and more problem solving |

## Statistics major (Y422) | 120 raw (120 scaled) | 2 hour 15 mins | 33⅓% | Section A – shorter questions with minimal reading and interpretation
Section B – longer questions and more problem solving |

## Minor options | ||||

## Mechanics minor (Y431) | 60 raw (60 scaled) | 1 hour 15 mins | 16⅔% | Gradient of demand across the paper |

## Statistics minor (Y432) | 60 raw (60 scaled) | 1 hour 15 mins | 16⅔% | Gradient of demand across the paper |

## Modelling with algorithms (Y433) | 60 raw (60 scaled) | 1 hour 15 mins | 16⅔% | Gradient of demand across the paper |

## Numerical methods (Y434) | 60 raw (60 scaled) | 1 hour 15 mins | 16⅔% | Gradient of demand across the paper |

## Extra pure (Y435) | 60 raw (60 scaled) | 1 hour 15 mins | 16⅔% | Gradient of demand across the paper |

## Further pure with technology (Y436) | 60 raw (60 scaled) | 1 hour 45 mins | 16⅔% | Access required to a calculator or computer with a computer algebra system, a spreadsheet, a graph plotter and a programming language in the examination.
Answers handwritten in a printed answer booklet. |

To be awarded OCR’s A Level in Further Mathematics B (MEI), students must take the mandatory core pure paper plus one of three routes through the qualification:

- Route A (mechanics major + one minor)
- Route B (statistics major + one minor)
- Route C (three minors, no major)

Students may take more than two optional papers to increase the breadth of their course. The combination of papers that results in the best grade will be used.

One third of the core pure content and one half of the content of each major option can be co-taught with the equivalent AS Further Mathematics options. Minor options in mechanics, statistics, modelling with algorithms and numerical methods can be co-taught with the corresponding AS Further Mathematics options.

### Content overview

These overarching themes should be applied, across the whole of the detailed content in the specification:

- Mathematical argument, language and proof
- Mathematical problem solving
- Mathematical modelling.

### Mandatory paper

#### Core pure

- Proof
- Complex numbers
- Matrices and transformations
- Vectors and 3-D space
- Algebra
- Series
- Calculus
- Polar coordinates
- Hyperbolic functions
- Differential equations

### Optional papers

#### Major option: Mechanics

- Dimensional analysis
- Forces
- Work, energy and power
- Momentum and impulse
- Circular motion
- Hooke’s law
- Centre of mass
- Vectors and variable forces

#### Major option: Statistics

- Sampling
- Discrete random variables
- Bivariate data
- Chi-squared tests
- Continuous random variables
- Inference
- Simulation

#### Minor option: Mechanics

- Dimensional analysis
- Forces
- Work, energy and power
- Momentum and impulse
- Centre of mass

#### Minor option: Statistics

- Sampling
- Discrete random variables
- Bivariate data
- Chi-squared tests

#### Minor option: Modelling with algorithms

- Algorithms
- Networks
- Linear programming

#### Minor option: Numerical methods

- Use of technology
- Errors
- Solution of equations
- Numerical differentiation
- Numerical integration
- Approximation to functions

#### Minor option: Extra pure

- Recurrence relations
- Groups
- Matrices
- Multivariable calculus

#### Minor option: Further pure with technology

- Investigation of curves
- Exploring differential equations
- Number theory

### Assessment overview

Paper | Marks | Duration | Weighting | insert text |

## Mandatory | ||||

## Pure core (Y410) | 60 | 1 hour 15 mins | 33⅓% | Section A – shorter questions with minimal reading and interpretation
Section B – longer questions and more problem solving |

## Optional (choose any two) | ||||

## Mechanics a (Y411) | 60 | 1 hour 15 mins | 33⅓% | Gradient of demand across the paper |

## Statistics a (Y412) | 60 | 1 hour 15 mins | 33⅓% | Gradient of demand across the paper |

## Modelling with algorithms (Y413) | 60 | 1 hour 15 mins | 33⅓% | Gradient of demand across the paper |

## Numerical methods (Y414) | 60 | 1 hour 15 mins | 33⅓% | Gradient of demand across the paper |

## Mechanics b (Y415) | 60 | 1 hour 15 mins | 33⅓% | Gradient of demand across the paper |

## Statistics b (Y416) | 60 | 1 hour 15 mins | 33⅓% | Gradient of demand across the paper |

To be awarded OCR’s AS Level in Further Mathematics B (MEI), students must take the mandatory core pure paper and any two optional papers.

Students may take more than two optional papers to increase the breadth of their course. The combination of papers that results in the best grade will be used.

### Content overview

Three overarching themes are applied across all content:

- Mathematical argument, language and proof
- Mathematical problem solving
- Mathematical modelling.

### Mandatory paper

#### Core pure

- Proof
- Complex numbers
- Matrices and transformations
- Vectors and 3-D space
- Algebra
- Series

### Optional papers

#### Mechanics a

- Dimensional analysis
- Forces
- Work, energy and power
- Momentum and impulse
- Centre of mass

#### Statistics a

- Sampling
- Discrete random variables
- Bivariate data
- Chi-squared tests

#### Modelling with algorithms

- Algorithms
- Networks
- Linear programming

#### Numerical methods

- Use of technology
- Errors
- Solution of equations
- Numerical differentiation
- Numerical integration
- Approximation to functions

#### Mechanics b

- Momentum and impulse
- Circular motion
- Hooke’s law
- Centre of mass
- Vectors and variable forces

#### Statistics b

- Continuous random variables
- Inference
- Simulation