# A2 Further Mathematics

## Past mock examinations

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OCR A2 Further Mathematics Formula Booklet
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U6 FM Mock Teacher Z 19-20 U6 FM Mock Teacher Z 19-20 SOLUTIONS
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U6 FM Mock (Mechanics/Statistics) 19-20 U6 FM Mock (Mechanics/Statistics) 19-20 SOLUTIONS

### Teacher X (Mechanics)

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#### Topic X4: Centre of mass

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##### Lessons
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Centre of mass of systems of point masses
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Centre of mass of standard shapes
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Centre of mass of composite bodies
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Centre of mass by integration
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Equilibrium of a rigid body
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##### Topic test preparation
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X4 (Pre-TT A) Centre of mass
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X4 (Pre-TT A) Centre of mass MS
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X4 (Pre-TT B) Centre of mass
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X4 (Pre-TT B) Centre of mass MS
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X4 (Post-TT A) Centre of mass
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X4 (Post-TT A) Centre of mass MS
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X4 (Post-TT B) Centre of mass
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X4 (Post-TT B) Centre of mass MS

#### Topic X5: Variable forces                 & oblique collisions

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##### Lessons
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Work done by a variable force
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Hooke's law
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Elastic potential energy and work done
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Problem solving with work, energy and power
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Vector form of work done, kinetic energy and power
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Differential equations with acceleration and velocity
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Variable forces
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Impulse-momentum of variable forces
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Oblique impacts with walls
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Oblique collisions of two objects
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Impulsive tension in strings
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##### Topic test preparation
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X4 (Pre-TT A) Variable forces and oblique collisions
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X4 (Pre-TT A) Variable forces and oblique collisions MS
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X4 (Pre-TT B) Variable forces and oblique collisions
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X4 (Pre-TT B) Variable forces and oblique collisions MS
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X4 (Post-TT A) Variable forces and oblique collisions
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X4 (Post-TT A) Variable forces and oblique collisions MS
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X4 (Post-TT B) Variable forces and oblique collisions
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X4 (Post-TT B) Variable forces and oblique collisions MS

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### Teacher Y (Statistics)

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#### Topic Y4: Non-parametric tests                 & continuous random variables

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##### Lessons
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The single-sample sign test
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The single-sample Wilcoxon signed rank test
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Matched-pairs (or paired-sample) tests
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Wilcoxon rank-sum test
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Normal approximations with Wilcoxon tests
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Continuous random variables
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Averages and measures of spread of crv
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Expectation & variance of functions of random variables
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Piecewise-defined probability density functions
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Continuous uniform distribution
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Exponential distribution
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Distributions of related continuous random variables
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Worksheet: Distributions of related crv Worksheet MS
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Goodness-of-fit with continuous distributions
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#### Topic Y5: Sample means

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##### Lessons
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Expectation and variance of the sample mean
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Unbiased estimates of the mean and variance
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Linear combinations of normal variables
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Central Limit Theorem
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Hypothesis testing for the mean of a large sample
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Confidence intervals
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### OCR past papers MS

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#### Sample assessment material (SAM)

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OCR SAM Pure Paper 1 MS
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OCR SAM Pure Paper 2 MS
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OCR SAM Statistics Paper 3 MS
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OCR SAM Mechanics Paper 4 MS

#### Practice papers Set 1

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OCR PP Set 1 Pure Paper 1 MS
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OCR PP Set 1 Pure Paper 1 MS
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OCR PP Set 1 Statistics Paper 3 MS
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OCR PP Set 1 Mechanics Paper 4 MS

#### Practice papers Set 2

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OCR PP Set 2 Pure Paper 1 MS
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OCR PP Set 2 Pure Paper 2 MS
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OCR PP Set 2 Statistics Paper 3 MS
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OCR PP Set 2 Mechanics Paper 4 MS
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### Topic test preparation

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#### Topic Z1: Vectors

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Z1 (Pre-TT A) Vectors Z1 (Pre-TT A) Vectors MS
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Z1 (Pre-TT B) Vectors Z1 (Pre-TT B) Vectors MS
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Z1 (Post-TT A) Vectors Z1 (Post-TT A) Vectors MS
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Z1 (Post-TT B) Vectors Z1 (Post-TT B) Vectors MS

#### Topic Z2: Hyperbolics and further calculus

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Z2 (Pre-TT A) Hyperbolics and further calculus
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Z2 (Pre-TT A) Hyperbolics and further calculus MS
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Z2 (Pre-TT B) Hyperbolics and further calculus
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Z2 (Pre-TT B) Hyperbolics and further calculus MS
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Z2 (Pre-TT C) Hyperbolics and further calculus
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Z2 (Pre-TT C) Hyperbolics and further calculus MS
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Z2 (Post-TT A) Hyperbolics and further calculus
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Z2 (Post-TT A) Hyperbolics and further calculus MS
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Z2 (Post-TT B) Hyperbolics and further calculus
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Z2 (Post-TT B) Hyperbolics and further calculus MS

#### Topic Z3: Differential equations

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Z3 (Pre-TT A) Differential equations
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Z3 (Pre-TT A) Differential equations MS
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Z3 (Pre-TT B) Differential equations
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Z3 (Pre-TT B) Differential equations MS
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Z3 (Post-TT A) Differential equations
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Z3 (Post-TT A) Differential equations MS
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Z3 (Post-TT B) Differential equations
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Z3 (Post-TT B) Differential equations MS

#### Topic Z4: Complex numbers

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Z4 (Pre-TT A) Complex numbers
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Z4 (Pre-TT A) Complex numbers MS
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Z4 (Pre-TT B) Complex numbers
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Z4 (Pre-TT B) Complex numbers MS
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Z4 (Post-TT A) Complex numbers
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Z4 (Post-TT A) Complex numbers MS
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Z4 (Post-TT B) Complex numbers
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Z4 (Post-TT B) Complex numbers MS

#### Topic Z5: Polar coordinates and series

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Z5 (Pre-TT A) Polar coordinates and series
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Z5 (Pre-TT A) Polar coordinates and series_MS
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Z5 (Pre-TT B) Polar coordinates and series
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Z5 (Pre-TT B) Polar coordinates and series MS
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Z5 (Post-TT A) Polar coordinates and series
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Z5 (Post-TT A) Polar coordinates and series_MS
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Z5 (Post-TT B) Polar coordinates and series
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Z5 (Post-TT B) Polar coordinates and series MS

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### Edexcel past papers MS

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