Index
Core/ Pure/ Further Maths | Decision Maths | Mechanics | Probability and Statistics
Algebra | Calculus | Trigonometry
Core Maths / Pure Maths / Further Maths
A
Addition
Area
B
C
Calculus (see differentiation / integration)
Cartesian form
Circle
- addition
- Argand diagrams
- argument
- complex conjugates
- de Moivre's theorem
- division
- exponential form
- loci
- modulus
- modulus-argument form
- multiplication
- polynomial equations
- problem solving
- simplification
- square roots
- subtraction
Coordinate geometry (2 dimensions)
D
Decreasing / Increasing Functions
Differential equations
Differentiation
- Chain Rule
- Exponential functions
- Implicit functions
- Increasing / Decreasing Functions
- Parametric functions
- Product Rule
- Quotient Rule
- Stationary Points
- Tangents / Normals
Distance
E
Equations
- differential (see differential equations)
- quadratic equations
- simultaneous equations
F
G
Geometric series (progression)
Gradient
Graphs
- quadratic (sketching)
- transformations
- trigonometric (see trigonometry)
H
I
Identities (see trigonometry)
Imaginary numbers (see Complex Numbers)
Increasing / Decreasing Functions
Integration applications
Integrating functions
- axn type terms
- (ax+b)n type terms
- exponential functions
- f'(x)ef(x) type
- f'(x)/f(x) type
- partial fraction types
- reciprocal functions
- trigonometric types
Integration methods
L
Line
M
- addition
- determinants
- dimension
- identity (2x2) matrix
- inverse (2x2) matrix
- matrix notation
- multiplication
- non-singular matrix
- simultaneous equations
- singular matices
- subtraction
- transformations
Modulus-argument form (complex numbers)
Modulus inequalities (fractional types)
Multiplication
N
Normal
Numerical Methods
P
Powers (see indices)
Q
Quadratics
Quadratic expressions
Quadratic graphs
R
Radicals (see surds)
S
- arithmetic
- binomial (positive integer powers)
- difference method
- geometric
- recurrence relationships
- sigma notation
Simultaneous equations - matrix method
Stationary Points (see differentiation)
Subtraction
T
Tangent
Transformations
Trigonometry - right angled triangles
- Equations
- Definitions
- Graphs
- Identities
- Inverse trig functions
- Ratios
- Triangles
Trinomials
V
Exam Papers in Core Maths
Decision Mathematics
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
Vertices (see nodes)
W
X
Y
Z
Exam Papers in Decision Maths
I have some worked solutions to Decision maths papers for the Edexcel Board although you should find them useful for other boards.
Mechanics
A
B
C
Centroid (see centre of mass)
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
Exam Papers in Mechanics
Probability and Statistics
A
Arrangements (see permutations)
B
C
Combinations of n different items
Conditional probability - tree diagrams
Conditional probability - venn diagrams
Continuous Uniform distribution
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
Permutations of n different items
- 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
Uniform distribution (continuous)
Upper quartile (see quartiles)
V
Var(X) - continuous random variable
Variance
W
X
Y
Z
Exam Papers in Statistics
Algebra
A
Addition
B
C
Cartesian form
Circle
- addition
- Argand diagrams
- argument
- complex conjugates
- de Moivre's theorem
- division
- exponential form
- loci
- modulus
- modulus-argument form
- multiplication
- polynomial equations
- problem solving
- simplification
- square roots
- subtraction
Coordinate geometry (2 dimensions)
D
Distance
E
Equations
F
G
H
I
L
Line
M
- addition
- determinants
- dimension
- identity (2x2) matrix
- inverse (2x2) matrix
- matrix notation
- multiplication
- non-singular matrix
- simultaneous equations
- singular matices
- subtraction
- transformations
Modulus-argument form (complex numbers)
Modulus inequalities (fractional types)
Multiplication
N
P
Powers (see indices)
Q
Quadratics
Quadratic expressions
Quadratic graphs
R
Radicals (see surds)
S
- arithmetic
- binomial (positive integer powers)
- difference method
- geometric
- recurrence relationships
- sigma notation
Simultaneous equations - matrix method
Subtraction
T
V
Calculus
A
B
C
D
E
F
G
H
I
Increasing / Decreasing Functions
Integration applications
Integrating functions
- axn type terms
- (ax+b)n type terms
- exponential functions
- f'(x)ef(x) type
- f'(x)/f(x) type
- partial fraction types
- reciprocal functions
- trigonometric types
Integration methods
Trigonometry
A
B
C
D
E
F
G
Graphs
- trigonometric (see trigonometry)
H
I
L
M
N
P
Q
R
S
T
Trigonometry - right angled triangles
- Equations
- Definitions
- Graphs
- Identities
- Inverse trig functions
- Ratios
- Triangles
V