Index
A
Area
- Under curves (see integration)
- Sector
- Segment
- Triangle (two sides and inc. angle)
B
C
Circles
Circular measure
- applications
Complex Numbers Revision Guide
- Addition, subtraction, multiplication
- Argand diagram
- Complex conjugate
- Cubic equations
- Division
- Equate real and imag. parts
- Introduction
- Quadratic equations
- Quartic equations
- Square Root of a complex number
Coordinate Geometry
- Straight lines
- Intersection of lines and curves
- Exam questions
- Circles (see circles)
D
Differentiation Applications
Differentiation Exam Questions
Differentiation from first principles
Differentiation Methods
Differentiation Rules
Differentiation : Second Order
Division
Domain (See under functions)
E
Equations
- Modulus
- Quadratic (see quadratic equations)
- Simultaneous (see sim. equations)
- Trigonometric (see trigonometry)
Expanding-brackets
Exponential
F
- Combining
- Domain - Range
- Exponential
- Inverse
- Modulus (see modulus)
G
Geometric sequence / progression
Gradient
Graphs
- Exponential
- Modulus
- Quadratic graphs
- transformations (see transformations)
H
I
Identities
- Trignometric (see trigonometry)
Imaginary roots (see complex numbers)
Integration
- Methods
- Applications
- Exam Questions
L
M
N
Numerical Methods
P
Parametric differentiation
Parametric equations
Powers (see indices)
Q
Quadratic Equations
- solution by factorising
- solution by completing the square
- solution by formula
- proof of the quadratic formula
- extending to some function of x
- roots of a quadratic equation
Quadratic Expressions
Quadratic Formula
Quadratic Graphs
Quadratic Inequalities
R
Range (see under functions)
Rationalising (see surds)
Roots
- quadratics (see quadratic equations)
- change of sign method
- graphical method
- Iteration
S
T
- |f(x)| and f(|x|) (See under modulus)
- Translations
- Reflections
- Stretches
Trigonometry
- Equations
- Graphs
- Identities
- Inverse trig. functions
- Triangles
- Ratios (30, 60, 45 degrees)
Trinomials (see quadratics)
V
Vectors
- What is a vector and a scalar quantity?
- Notation
- Position vectors
- Equal and negative vectors
- Addition and subtraction of vectors
- Magnitude
- Unit vectors
- Finding the magnitude of a vector
- Scalar product
- Vector equation of a line
Volume of Revolution
Exam Papers in Core Maths
Mechanics
A
acceleration - variable (See variable acc'n.)
B
C
Collisions (See momentum and impulse)
Connected Particles
Conservation of energy (see energy)
D
E
Energy
Equilibrium
F
G
Gravitational Potential Energy (See Energy)
H
I
Impulse (see momentum and impulse)
J
K
Kinematics (suvat)
- displacement
- displacement time graphs
- Equations of constant acceleration
- horizontal motion
- vertical motion under gravity
- exam questions
Kinetic Energy (see energy)
L
Limiting equilibrium (see friction)
M
N
O
P
Q
R
S
Speed-time graphs (see velocity-time graphs)
Statics (see equilibrium)
suvat (see kinematics)
T
U
V
Vectors
Velocity (see vectors)
W
X
Y
Z
Exam Papers in Mechanics
I have worked solutions to the following Mechanics maths papers for the Edexcel Board although you should find them useful for other boards.
Statistics
A
Arrangements (see permutations)
B
C
Combinations of n different items
Conditional probability - tree diagrams
Conditional probability - venn diagrams
D
E
F
G
H
Hypothesis testing
I
Interquartile range (see quartiles)
J
K
L
Linear combinations of random variables
Lower quartile (see quartiles)
M
N
O
P
- of r items from n different items
- of repeated letters in a word
- restrictions: letters / items together
- restrictions : items at the ends
- restrictions : items must not be together
Probability density function (p.d.f,)
- Cumulative distribution function (c.d.f)
- Finding the median from a p.d.f.
- Finding the mode from a p.d.f.
- E(X) and Var(X)
Q
Quartiles
R
S
Sample space (see possibility space)
Significance level (see hypothesis testing)
T
Tree diagrams (see probability tree diagrams)
U
Upper quartile (see quartiles)
V
W
X
Y
Z
Exam Papers in Statistics