Further Maths

The resources on this page are designed to support students with AQA Level 2 Further Mathematics.

Level 2 Further Maths

Number

Product Rule for Counting     Video 501    Practice Questions    Answers

Surds (addition/subtraction)   Video 502      Practice Questions    Answers

Surds (rationalising denominators)   Video 503    Practice Questions    Answers

Algebra

Function Notation     Video 504      Practice Questions     Answers

Composite Functions     Video 505      Practice Questions     Answers

Inverse Functions     Video 506      Practice Questions     Answers

Domains and Ranges     Video 507    Practice Questions     Answers

Drawing Functions   Video 508     Practice Questions        Answers

Expanding Brackets     Video 509   Practice Questions    Answers

Expanding 3 Brackets     Video 510    Practice Questions    Answers

Expanding Brackets (Pascal’s)   Video 511    Practice Questions    Answers

Factorisation     Video 512    Practice Questions    Answers

Factorising Quadratics     Video 513     Practice Questions    Answers

Algebraic Fractions (add/subtract)    Video 514    Practice Questions     Answers

Algebraic Fractions (multiply)    Video 515     Practice Questions      Answers

Algebraic Fractions (divide)    Video 516     Practice Questions      Answers

Algebraic Fractions (equations)   Video 517    Practice Questions      Answers

Changing the Subject     Video 518    Practice Questions    Answers

Factor Theorem     Video 519      Practice Questions    Answers

Algebraic Long Division     Video 520      Practice Questions    Answers

Factorising Cubics     Video 521      Practice Questions    Answers

Solving Cubics     Video 522     Practice Questions    Answers

Completing the Square (x²)     Video 523    Practice Questions    Answers

Completing the Square (ax²)    Video 524    Practice Questions    Answers

Exponential Graphs     Video 525    Practice Questions   Answers

Sketching Quadratics     Video 526    Practice Questions    Answers

Solving Quadratics by Factorisation    Video 527    Practice Questions   Answers

Solving Quadratics (Completing the Square)  Video 528  Practice Questions   Answers

Solving Quadratics (Quadratic Formula)   Video 529    Practice Questions    Answers

Simultaneous Equations (both linear)     Video 530      Practice Questions     Answers

Simultaneous Equations (non-linear)   Video 531    Practice Questions    Answers

Simultaneous Equations (3 unknowns)   Video 532    Practice Questions     Answers

Linear Inequalities    Video 533       Practice Questions     Answers

Quadratic Inequalities   Video 534      Practice Questions    Answers

Laws of Indices    Video 535    Practice Questions    Answers

Fractional Indices    Video 536     Practice Questions     Answers

Negative Indices   Video 537    Practice Questions     Answers

Equations with indices/roots    Video 538     Practice Questions    Answers

Algebraic Proof     Video 539    Practice Questions     Answers

nth Terms     Video 540    Practice Questions      Answers

Limiting Values    Video 541    Practice Questions      Answers

Linear Sequences    Video 542    Practice Questions      Answers

Quadratic Sequences   Video 543a   Video 543b    Practice Questions    Answers

Coordinate Geometry

Gradient    Video 544     Practice Questions     Answers

Parallel Lines    Video 545     Practice Questions     Answers

Perpendicular Lines    Video 546     Practice Questions    Answers

Distance between two points   Video 547    Practice Questions    Answers

Midpoint of a Lines    Video 548      Practice Questions     Answers

Ratio (Lines)    Video 549    Practice Questions     Answers

Equation of a Line    Video 550    Practice Questions     Answers

Equation of a Circle (centre is the origin)    Video 551     Practice Questions     Answers

Equation of a Circle (centre not the origin)   Video 552    Practice Questions    Answers

Circle Theorems    Video 553    Practice Questions     Answers

Equation of a Tangent to a Circle     Video 554     Practice Questions    Answers

Calculus

Introduction     Video 555      Practice Questions    Answers

Differentiation      Video 556         Practice Questions      Answers

Differentiation after Rearranging     Video 557       Practice Questions    Answers

Gradient of a Curve    Video 558    Practice Questions      Answers

Equation of a Tangent     Video 559      Practice Questions    Answers

Equation of a Normal      Video 560    Practice Questions     Answers

Increasing/Decreasing Function    Video 561    Practice Questions  Answers

d2y/dx2     Video 562    Practice Questions      Answers

Stationary Points     Video 563     Practice Questions     Answers

Application of Differentiation    Video 564     Practice Questions     Answers

Sketch curve knowing maxima/minima     Video 565    Practice Questions    Answers

Matrices

Multiplying Matrices (by a scalar)   Video 565      Practice Questions    Answers

Multiplying Matrices (2×2 by 2×1)   Video 566     Practice Questions     Answers

Multiplying Matrices (2×2 by 2×2)   Video 567     Practice Questions     Answers

Identity Matrix     Video 568    Practice Questions      Answers

Transforming the Unit Square    Video 569     Practice Questions    Answers

Matrix Transformations    Video 570     Practice Questions      Answers

Geometry

Geometric Proof     Video 571    Practice Questions    Answers

Sine Rule (sides)     Video 572      Practice Questions   Answers

Sine Rule (angles)     Video 573      Practice Questions   Answers

Sine Rule (ambiguous case)   Video 574    Practice Questions    Answers

Cosine Rule (sides)     Video 575      Practice Questions    Answers

Cosine Rule (angles)   Video 576      Practice Questions    Answers

Area of a Triangle    Video 577      Practice Questions    Answers

3D Pythagoras    Video 578       Practice Questions      Answers

3D Trigonometry     Video 579      Practice Questions    Answers

Exact Trig Values    Video 580     Practice Questions    Answers

Trig Identities    Video 581      Practice Questions    Answers

Trig Graphs   Video 582   Practice Questions      Answers

Finding other Trig ratios    Video 583     Practice Questions    Answer

Solving Trigonometric Equations: Introduction    Video 584

Solving Trigonometric Equations 1     Video 585    Practice Questions    Answers

Solving Trigonometric Equations 2     Video 586    Practice Questions    Answers