A2 Further Mathematics


Past mock examinations

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

Teacher X (Mechanics)

     

Topic X4: Centre of mass

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

Topic X5: Variable forces
                & oblique collisions

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

Revision

     
     

Teacher Y (Statistics)

     

Topic Y4: Non-parametric tests
                & continuous random variables

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

Topic Y5: Sample means

     
Lessons
     
Adding independent random variables
     
Expectation and variance of the sample mean
     
Unbiased estimates of the mean and variance
     
Linear combinations of normal variables
     
Central Limit Theorem
     
Hypothesis testing for the mean of a large sample
     
Confidence intervals
     
Topic test preparation
     
     
     
     
     
     
     
     
     
     
     
     

Revision

     
     

OCR past papers MS

     

Sample assessment material (SAM)

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

Practice papers Set 1

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

Practice papers Set 2

     
OCR PP Set 2 Pure Paper 1 MS
     
OCR PP Set 2 Pure Paper 2 MS
     
OCR PP Set 2 Statistics Paper 3 MS
     
OCR PP Set 2 Mechanics Paper 4 MS

     
     
     
     

Teacher Z (Pure)

Topic test preparation

     

Topic Z1: Vectors

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

Topic Z2: Hyperbolics and further calculus

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

Topic Z3: Differential equations

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

Topic Z4: Complex numbers

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

Topic Z5: Polar coordinates and series

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

Revision

     
     

Edexcel past papers MS

     

     
     
     
     

     
     
     
     

     
     
     
     

     
     
     
     


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