AQA Level 2 Further Maths practice questions

780 questions on 39 topics, each with a hint and a worked solution.

Number

  1. Product Rule for Counting Number 20 questions, 53 marks
  2. Surds Number 20 questions, 54 marks

Algebra

  1. Functions - Domain and Range Algebra 20 questions, 51 marks
  2. Composite and Inverse Functions Algebra 20 questions, 59 marks
  3. Expanding Brackets Algebra 20 questions, 61 marks
  4. Binomial Expansion Algebra 20 questions, 56 marks
  5. Identities and Comparing Coefficients Algebra 20 questions, 58 marks
  6. Factorising Algebra 20 questions, 56 marks
  7. Algebraic Fractions Algebra 20 questions, 64 marks
  8. Rearranging Formulae Algebra 20 questions, 64 marks
  9. Factor Theorem Algebra 20 questions, 63 marks
  10. Completing the Square Algebra 20 questions, 64 marks
  11. Sketching Graphs and Exponential Graphs Algebra 20 questions, 52 marks
  12. Piecewise Functions Algebra 20 questions, 59 marks
  13. Linear and Quadratic Equations in Context Algebra 20 questions, 62 marks
  14. Simultaneous Equations (Two Unknowns) Algebra 20 questions, 67 marks
  15. Simultaneous Equations (Three Unknowns) Algebra 20 questions, 71 marks
  16. Inequalities Algebra 20 questions, 56 marks
  17. Index Laws and Equations with Indices Algebra 20 questions, 53 marks
  18. Algebraic Proof Algebra 20 questions, 54 marks
  19. Sequences - nth Terms and Limiting Values Algebra 20 questions, 57 marks

Coordinate geometry

  1. Equations of Straight Lines Coordinate geometry 20 questions, 59 marks
  2. Coordinate Geometry Problems Coordinate geometry 20 questions, 62 marks
  3. Equation of a Circle Coordinate geometry 20 questions, 60 marks

Calculus

  1. Differentiation Calculus 20 questions, 61 marks
  2. Tangents and Normals Calculus 20 questions, 69 marks
  3. Stationary Points, Increasing and Decreasing Functions Calculus 20 questions, 64 marks
  4. Maximum and Minimum Problems Calculus 20 questions, 67 marks

Matrices

  1. Matrix Multiplication Matrices 20 questions, 58 marks
  2. Matrix Transformations Matrices 20 questions, 54 marks

Geometry

  1. Circle Theorems Geometry 20 questions, 54 marks
  2. Geometric Proof Geometry 20 questions, 59 marks
  3. Area, Perimeter and Volume with Algebra Geometry 20 questions, 65 marks
  4. Sine Rule, Cosine Rule and Area of a Triangle Geometry 20 questions, 65 marks
  5. Pythagoras and Trigonometry in 2D Geometry 20 questions, 59 marks
  6. Pythagoras and Trigonometry in 3D Geometry 20 questions, 60 marks
  7. Trigonometric Graphs and Ratios of Any Angle Geometry 20 questions, 48 marks
  8. Trigonometric Identities Geometry 20 questions, 55 marks
  9. Solving Trigonometric Equations Geometry 20 questions, 60 marks