## Core Worksheets

To find a worksheet click on the **topic** you want and then choose from the list of **subtopics**

Algebra and functions

- Laws of indices
- Manipulating surds
- Rationalising surds
- Factorising quadratics
- Completing the square
- Solving quadratics
- Quadratic graphs
- Linear simultaneous equations
- Quadratic simultaneous equations
- Linear inequalities
- Quadratic inequalities
- Discriminant
- Polynomial basics
- Polynomial division
- Factor and remainder theorem
- Reciprocal graphs
- Simplifying rational expressions
- Transforming graphs
- Combining graph transforms
- Modulus function
- Solving modulus equations
- Modulus transforms
- Domain and range
- Inverse functions
- Composite functions
- Partial fractions

Coordinate geometry

Differentiation

- Differentiation terminology
- Differentiate powers of x
- Differentiate from first principles
- Tangents and normals
- Increasing, decreasing and stationary
- Max and min points
- Inflection and convex-concave
- Differentiate exponentials and logarithms
- Differentiate trig functions
- Chain rule
- Chain rule tricks
- Product rule
- Quotient rule
- Mixed differentiation rules
- Implicit differentiation
- Parametric differentitiation
- Forming differential equations
- Connected rates of change

Exponentials and logarithms

Integration

- Integrate powers of x
- Finding a function from the gradient
- Definite integration and area
- Negative area
- Area between two curves
- Integrate known derivatives
- Integration by substitution
- Integration by parts
- Integration tricks
- Integration using partial fractions
- Integration using trig addition formulae
- Integration using trig identities
- Seperable ODEs

Numerical methods

Proof

Sequences and series

Trigonometry

- Basic trig
- Sine rule
- Cosine rule
- Area of any triangle
- Intro to radians
- Arc length and sector area
- Basic identities
- Solving simple trig equations
- Solving complex trig equations
- Addition angle formulae
- Double angle formulae
- Small angle approximations
- Magnitude and phase form (R,alpha)
- Inverse trig functions
- Reciprocal trig functions
- Reciprocal identities