Coaching Centre
Year 11 Maths Advanced
Free interactive notes and timed quizzes for every chapter of NSW Year 11 Maths Advanced, from functions and trigonometry to calculus and probability.
- 1Pick a chapter below.
- 2Notes: learn with live graphs, worked examples and practice questions.
- 3Quizzes: test yourself on the whole chapter.
Tap Mark as mastered after each section to track your progress on this device. No account needed.
Chapters
- 1 Algebra review The algebra skills every Year 11 Maths Advanced topic depends on: expanding, factoring, algebraic fractions, quadratic equations and simultaneous equations. 5 sections
- 2 Numbers and surds Real numbers and intervals on the number line, simplifying surds, surd arithmetic and rationalising denominators. 4 sections
- 3 Functions and graphs Functions, relations, domain and range, linear and quadratic graphs, completing the square, the discriminant, cubics, circles, hyperbolas and variation. 9 sections
- 4 Equations and inequations Solve linear and quadratic inequations, use the discriminant to answer questions about roots and tangents, and work with quadratic identities. 4 sections
- 5 Transformations and symmetry Shift, reflect and stretch graphs, test functions for even and odd symmetry, and work with absolute value, composite functions and piecewise functions. 8 sections
- 7 Trigonometry Right-angled triangles, elevation and bearings, trig functions of any angle, exact values, identities, trig equations, and the sine and cosine rules for any triangle. 10 sections
- 8 Coordinate geometry Distance, midpoint and gradient formulas, parallel and perpendicular lines, the angle of inclination, equations of lines in every form, and coordinate proofs. 5 sections
- 9 Exponential and logarithmic functions Index laws, fractional indices, logarithms and the log laws, solving exponential and log equations, graphs of y = a^x and y = log_a x, and growth and decay applications. 7 sections
- 10 Differentiation Tangents and the derivative, first principles, the power rule, dy/dx notation, the chain, product and quotient rules, rates of change, and velocity. 12 sections
- 12 Euler's number e The number e, the exponential function y = e^x and its derivative, transformations of exponential graphs, and the natural logarithm ln x. 3 sections
- 13 Radian measure of angles Radians, exact values in radians, solving trig equations in radians, arc length and sector area, and the graphs of sin, cos and tan in radians. 4 sections
- 14 Probability Sets and Venn diagrams, sample spaces, multi-stage experiments, the addition and product rules, probability tree diagrams, and conditional probability. 7 sections
- 15 Data and probability Types of random variables, frequency and relative frequency tables, the mode and median, cumulative frequency, and grouped data with histograms and ogives. 3 sections