OCR A2 Further Mathematics Formula Booklet
U6 FM Mock (Mechanics/Statistics) 19-20 U6 FM Mock (Mechanics/Statistics) 19-20 SOLUTIONS
U6 FM Mock Teacher Z 19-20 U6 FM Mock Teacher Z 19-20 SOLUTIONS
U6 FM Mock (Mechanics/Statistics) 21-22 U6 FM Mock (Mechanics/Statistics) 21-22 SOLUTIONS
U6 FM Mock Teacher Z 21-22 U6 FM Mock Teacher Z 21-22 SOLUTIONS
U6 FM Mock (Mechanics/Statistics) 22-23 U6 FM Mock (Mechanics/Statistics) 22-23 SOLUTIONS
U6 FM Mock Teacher Z 22-23 U6 FM Mock Teacher Z 22-23 SOLUTIONS
U6 FM Mock (Mechanics/Statistics) 23-24 U6 FM Mock (Mechanics/Statistics) 23-24 SOLUTIONS
U6 FM Mock Teacher Z 23-24 U6 FM Mock Teacher Z 23-24 SOLUTIONS
U6 FM Mock (Mechanics/Statistics) 24-25 U6 FM Mock (Mechanics/Statistics) 24-25 SOLUTIONS
U6 FM Mock Teacher Z 24-25 U6 FM Mock Teacher Z 24-25 SOLUTIONS
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
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
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
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
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
Cumulative distribution functions
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
Non-parametric tests and continuous rv (Pre-TT A)
Non-parametric tests and continuous rv (Pre-TT A) MS
Non-parametric tests and continuous rv (Pre-TT_B)
Non-parametric tests and continuous rv (Pre-TT B) MS
Non-parametric tests and continuous rv (Post-TT)
Non-parametric tests and continuous rv (Post-TT) MS
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
Y5 Sample means (Pre-TT)
Y5 Sample means (Pre-TT) MS
Y5 Sample means (Post-TT)
Y5 Sample means (Post-TT) MS
Non-parametric_tests_EXTRA
Non-parametric_tests_EXTRA MS
Review of AS vectors
Equation of a plane
Intersection between a line and plane
Angle between a line and a plane
Angle between two planes
Shortest distance between a point and a plane
Shortest distance between a point and a line
Shortest distance between two skew lines
Linear simultaneous equations
Intersections of planes
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
Review of AS complex numbers
De Moivre's Theorem
Complex exponents including Euler's formula
Roots of complex numbers
Roots of unity
Further factorising
Geometry of complex numbers
Deriving multiple angle formulae
Application of multiple angle formulae to polynomial equations
Expressing powers of trigonometric functions using multiple angles
Trigonometric series
Z2 (Pre-TT A) Complex numbers
Z2 (Pre-TT A) Complex numbers MS
Z2 (Pre-TT B) Complex numbers
Z2 (Pre-TT B) Complex numbers MS
Z2 (Post-TT A) Complex numbers
Z2 (Post-TT A) Complex numbers MS
Z2 (Post-TT B) Complex numbers
Z2 (Post-TT B) Complex numbers MS
Defining hyperbolic functions
Inverse hyperbolic functions
Hyperbolic identities
Solving harder hyperbolic equations
Differentiation of hyperbolic functions
Integration of hyperbolic functions
Differentiation of inverse trigonometric functions
Differentiation of inverse hyperbolic functions
Integration involving inverse trigonometric and hyperbolic functions
Using partial fractions in integration
Maclaurin series
Using standard Maclaurin series
Improper and infinite integrals
Volumes of revolution
Mean value of a function
Z3 (Pre-TT A) Hyperbolics and further calculus
Z3 (Pre-TT A) Hyperbolics and further calculus MS
Z3 (Pre-TT B) Hyperbolics and further calculus
Z3 (Pre-TT B) Hyperbolics and further calculus MS
Z3 (Pre-TT C) Hyperbolics and further calculus
Z3 (Pre-TT C) Hyperbolics and further calculus MS
Z3 (Post-TT A) Hyperbolics and further calculus
Z3 (Post-TT A) Hyperbolics and further calculus MS
Z3 (Post-TT B) Hyperbolics and further calculus
Z3 (Post-TT B) Hyperbolics and further calculus MS
Exact 1st order differential equations
The integrating factor
Homogenous 2nd order linear differential equations
Differential equations involving complex numbers
Non-homogenous 2nd_order linear differential equations
Forming differential equations
Simple harmonic motion
Damping and damped oscillations
Coupled 1st order differential equations
Z4 (Pre-TT A) Differential equations
Z4 (Pre-TT A) Differential equations MS
Z4 (Pre-TT B) Differential equations
Z4 (Pre-TT B) Differential equations MS
Z4 (Post-TT A) Differential equations
Z4 (Post-TT A) Differential equations MS
Z4 (Post-TT B) Differential equations
Z4 (Post-TT B) Differential equations MS
Curves in polar coordinates
Some features of polar coordinates
Changing between polar and Cartesian coordinates
Area enclosed by a curve
Area enclosed by 2 curves
Review of AS proof by induction
Induction and series
Using standard series
The method of differences
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
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