This page is for the new AS and A Level Maths specification for first teaching September 2017. All A level questions arranged by topic.

Formula Book

New AS and A Level Content

Edexcel AS and A Level Data Set

For the new A Level I am using the Casio Classwiz Calculator: CASIO FX-991EX Advanced Scientific Calculator

**AS content is in bold**

Topic | Example(s) | Questions | Solutions |
---|---|---|---|

Indices |
Revision | Questions | Answers |

Surds |
Revision | Questions | Answers |

Factorising Quadratics |
Revision | Questions | Answers |

The Discriminant and Quadratic Formula |
Revision | Questions | Answers |

Completing the Square |
Revision | Questions | Answers |

Simplifying Algebraic Fractions | Questions | Answers | |

Simultaneous Equations |
Revision | Questions | Answers |

Solving Inequalities |
Revision | Questions | Answers |

Set Notation |
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Algebraic Division |
Revision | ||

The Factor Theorem |
Revision | ||

Sketching Curves |
Questions | Answers | |

Inverse and Composite Functions | Revision | Questions | Answers |

Modulus Functions | Revision | Questions | Answers |

Proportional Relationship Graphs |
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Transforming Graphs |
Questions | Answers | |

Transforming Graphs 2 | Questions | Answers | |

Partial Fractions | Revision | Questions | Answers |

The Equation of a Straight Line |
Revision | Questions | Answers |

Parallel and Perpendicular Lines |
Revision | Questions | Answers |

The Equation of a Circle |
Revision | Questions | Answers |

Parametric Equations | Revision | Questions | Answers |

The Binomial Expansion 1 |
Revision | Questions | Answers |

The Binomial Expansion 2 | Revision | Questions | Answers |

Recurrence Relations | Revision | Questions | Answers |

Arithmetic Sequences and Series | Revision | Questions | Answers |

Geometric Sequences and Series | Revision | Questions | Answers |

SOHCAHTOA |
Revision | ||

The Sine Rule |
Revision | Questions | Answers |

Small Angle Approximations | |||

Radians | Revision | Questions | Answers |

Trigonometric Graphs |
Questions | Answers | |

Solving Trigonometric Equations |
Revision | Questions | Answers |

Trig Identities |
Revision | Questions | Answers |

Secant, Cosecant and Cotangent | Revision | Questions | Answers |

Inverse Trig Functions | Revision | Questions | Answers |

More Trig Identities | Revision | Questions | Answers |

Addition and Double Angle Formulae | Revision | Questions | Answers |

Exponential Graphs |
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Logs |
Revision | Questions | Answers |

Logarithmic Graphs |
|||

e and the natural log |
Revision | Questions | Answers |

Exponential Growth and Decay |
Revision | ||

Differentiation 1 |
Revision | Questions | Answers |

Increasing, Decreasing and Stationary Points |
Revision | Questions | Answers |

Tangents and Normals |
Questions | Answers | |

Differentiation from first principles |
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Differentiation - The Chain Rule | Revision | Questions | Answers |

Differentiation - The Product Rule | Revision | Questions | Answers |

Differentiation - The Quotient Rule | Revision | Questions | Answers |

Differentiation - Exponential | Revision | Questions | Answers |

Differentiation - Trigonometric | Revision | Questions | Answers |

Parametric Differentiation | Revision | Questions | Answers |

Implicit Differentiation | Revision | Questions | Answers |

Differentiation - Inverse Trig Functions | |||

Differentiation - Connected rates of Change | Revision | Questions | Answers |

Integration 1 |
Revision | Questions | Answers |

Integration - Exponential | Revision | Questions | Answers |

Integration - Trigonometric | Revision | Questions | Answers |

Finding the Area Under a Curve |
Revision | Questions | Answers |

Finding the Area Between Two Curves | |||

Integration by Substitution | Revision | Questions | Answers |

Integration by Parts | Revision | Questions | Answers |

Integration Using Partial Fractions | Revision | Questions | Answers |

First Order Differential Equations | Revision | Questions | Answers |

Iteration | Revision | Questions | Answers |

The Newton-Raphson Method | |||

The Trapezium Rule | Revision | Questions | Answers |

Vectors - i and j notation (converting) |
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Vectors in 3 Dimensions | Revision | ||

Adding Vectors |
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Calculating the Distance between 2 Points |
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Proof |
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Proof by Contradiction |

**AS content is in bold**

Topic | Example(s) | Questions | Solutions |
---|---|---|---|

Population, Sample and Census |
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Sampling Methods |
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Histograms |
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Frequency Polygons |
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Box Plots and Outliers |
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Cumulative Frequency |
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Scatter Diagrams |
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Interpolation |
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Variance and Standard Deviation |
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Coding |
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Probability - Mutually Exclusive and Independent Events |
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Venn Diagrams |
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Tree Diagrams |
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Conditional Probability | |||

Binomial Probability Distribution |
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The Normal Distribution | |||

Hypothesis Testing |
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The PMCC and Hypothesis Testing | |||

The Normal Distribution and Hypothesis Testing | |||

Quantities and Units in Mechanics |
|||

Velocity Time Graphs and Displacement Time Graphs |
Revision | ||

SUVAT |
Revision | ||

Calculus in Kinematics |
|||

Calculus in Kinematics - Vectors | |||

Projectiles | |||

Newtons Laws of Motion |
Revision | ||

Vertical Motion |
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Resolving Forces | Revision | ||

Motion on an Inclined Plane | Revision | ||

Connected Particles (and Pulleys) |
Revision | ||

Friction | Revision | ||

Moments |