Year 11 Maths Extension 1

Free interactive notes and timed quizzes for every chapter of NSW Year 11 Maths Extension 1, from further graphs and polynomials to combinatorics and the binomial theorem.

  1. 1Pick a chapter below.
  2. 2Notes: learn with live graphs, worked examples and practice questions.
  3. 3Quizzes: test yourself on the whole chapter.

Extension 1 builds on the Advanced course, so work through the Year 11 Maths Advanced notes as well. Tap Mark as mastered after each section to track your progress on this device. No account needed.

Chapters

  1. 1 Further graphs 8 sections

    Absolute value and fraction inequations, tables of signs, reciprocal graphs, adding graphs, y = |f(x)| and y = f(|x|), inverse functions, and parametric equations.

  2. 2 Polynomials 7 sections

    The language of polynomials, their graphs and multiple zeroes, polynomial division, the remainder and factor theorems, sums and products of zeroes, and geometry with polynomials.

  3. 3 Further trigonometry 5 sections

    Three-dimensional trigonometry, the compound-angle and double-angle formulae, further trigonometric equations, and writing a sin x + b cos x as a single wave.

  4. 4 Combinatorics 7 sections

    Factorials, ordered selections with and without repetition, the grouping, complementary and cases principles, identical elements, combinations, counting in probability, and arrangements in a circle.

  5. 5 The binomial theorem 6 sections

    Pascal's triangle, expanding binomial powers, the binomial theorem and its proof, the general term, and identities in Pascal's triangle.

Formula sheet