# Core Maths / Pure Maths / Further Maths

### B

Binary operation

Binomial expansion

Bisection method

### C

Calculus (see differentiation / integration)

Cartesian form

Chain Rule

Change of sign method

Circle

Closure (see binary operation)

Completing the square

Complex Numbers

Further Complex Numbers

Composite functions

Commutivity (see binary operations)

Connected rates of change

Coordinate geometry (2 dimensions)

Cosecant

Cosine rule

Cotangent

### G

Geometric series (progression)

Graphs

### I

Identities (see trigonometry)

Identity (2x2) matrix

Imaginary numbers (see Complex Numbers)

Implicit differentiation

Indices

Induction

Increasing / Decreasing Functions

Inequalities

Integrating factor

Integration 1

Integration 2

Integration applications

Integrating functions

Integration methods

Inverse functions

Inverse (2x2) matrix

Inverse trig. functions

Iteration

Quotient Rule

### T

Tangent

Taylor's series

Transformations

Trapezium rule

Trigonometry - right angled triangles

• Equations
• Definitions
• Graphs
• Identities
• Inverse trig functions
• Ratios
• Triangles

Trinomials

## Exam Papers in Core Maths

I have worked solutions to the following Core maths papers for the Edexcel Board although you should find them useful for other boards.

C1 | C2 | C3 | C4 | FP1 | FP2

# Mechanics

### R

Resolving Forces

• Using resolving (see equilibrium)

Resultant forces

### S

Speed-time graphs (see velocity-time graphs)

Statics of a particle

suvat (see kinematics)

## 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.

M1 | M2

# Probability and Statistics

### A

Arrangements (see permutations)

### I

Interquartile range (see quartiles)

Quartiles

### S

Sample space (see possibility space)

Sampling (see simple random sample)

Selections (combinations)

Significance level (see hypothesis testing)

Simple random sample

Standard deviation

Stem and leaf diagrams

### T

Tree diagrams (see probability tree diagrams)

### U

Uniform distribution (continuous)

Upper quartile (see quartiles)

## Exam Papers in Statistics

I have worked solutions to the following Statistics maths papers for the Edexcel Board although you should find them useful for other boards.

S1 | S2

# Algebra

### B

Binomial expansion

Bisection method

### C

Cartesian form

Change of sign method

Circle

Completing the square

Complex Numbers

Further Complex Numbers

Coordinate geometry (2 dimensions)

Transformations

Trinomials

# Calculus

### I

Implicit differentiation

Increasing / Decreasing Functions

Integrating factor

Integration 1

Integration 2

Integration applications

Integrating functions

Integration methods

# Trigonometry

### G

Graphs

• trigonometric (see trigonometry)

### T

Trigonometry - right angled triangles

• Equations
• Definitions
• Graphs
• Identities
• Inverse trig functions
• Ratios
• Triangles