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Part 1
Algebra and Functions 1

Indices and surds

Polynomial expressions

Quadratic functions and their graphs

Simultaneous equations

Inequalities

Sketching Graphs

Transformation of curves

Algebra Questions

Algebra Answers

Transformation of Curves Questions

Transformation of Curves Answers 

Part 2
Coordinate Geometry

The length of a line

Mid-point

Gradient

Parallel and perpendicular lines

Equation of  a straight line

Intersecting lines

Coordinate Geometry Questions

Coordinate Geometry Answers

Answer 9

Part 3

Series and Sequences 1

The nth Term

Arithmetic Sequences

 All you need to do is sub in the terms they give you in the question.

Top Tip: Use the 3rd equation for any question that doesn't ask for the sum, because you can work out the value of any term or d using it.  

Arithmetic Sequences Questions

Answers

Sigma Notation

Sigma Notation Questions

Sigma Notation Answers

 

You must also be able to prove the sum equation:

 

 

Review Questions

Review Answers

Part 4
Differentiation

 

The Rules:

 

The Gradient

 

Normals and Tangents

 

Part 5
Integration 1

 

Part 6

Algebra and Functions 2

Algebraic Division 

Factor Theorem

Remainder Theorem 

Part 6 Questions

Part 6 Answers (every other question)

Part 7

The Circle

Equation of a circle

Tangents and normals

Part 7 Questions

Part 7 Answers (every other question)

Part 8
Sequences and Series 2

Geometric

To prove the sum equation:

Examples of Geometric Sequence Questions and Answers 

Questions

Answers

Sum of Infinity

Questions

Answer

Binomial Expansion

 

 

Part 9

Trigonometry

GCSE

 

Sin and Cosine Rules

 

Area of a triangle and Trigonometric graphs

 
CAST diagram

 

 
Radians

 
Trig equations

Part 10

Logarithms

Questions

Answers

Questions

Answers

 

Part 11

Differentiation 2

 

 

Stationary Points

 

 

Increasing and Decreasing Functions

 

Part 12

Integration 2

 

Definite Integration

 

Trapezium Rule 

 

 

 

 Calculus Step-by-Step Guide

 

 

THE END