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 5 sections

The algebra skills every Year 11 Maths Advanced topic depends on: expanding, factoring, algebraic fractions, quadratic equations and simultaneous equations.

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2 Numbers and surds 4 sections

Real numbers and intervals on the number line, simplifying surds, surd arithmetic and rationalising denominators.

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3 Functions and graphs 9 sections

Functions, relations, domain and range, linear and quadratic graphs, completing the square, the discriminant, cubics, circles, hyperbolas and variation.

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4 Equations and inequations 4 sections

Solve linear and quadratic inequations, use the discriminant to answer questions about roots and tangents, and work with quadratic identities.

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5 Transformations and symmetry 8 sections

Shift, reflect and stretch graphs, test functions for even and odd symmetry, and work with absolute value, composite functions and piecewise functions.

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7 Trigonometry 10 sections

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.

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8 Coordinate geometry 5 sections

Distance, midpoint and gradient formulas, parallel and perpendicular lines, the angle of inclination, equations of lines in every form, and coordinate proofs.

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9 Exponential and logarithmic functions 7 sections

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.

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10 Differentiation 12 sections

Tangents and the derivative, first principles, the power rule, dy/dx notation, the chain, product and quotient rules, rates of change, and velocity.

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12 Euler's number e 3 sections

The number e, the exponential function y = e^x and its derivative, transformations of exponential graphs, and the natural logarithm ln x.

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13 Radian measure of angles 4 sections

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.

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14 Probability 7 sections

Sets and Venn diagrams, sample spaces, multi-stage experiments, the addition and product rules, probability tree diagrams, and conditional probability.

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15 Data and probability 3 sections

Types of random variables, frequency and relative frequency tables, the mode and median, cumulative frequency, and grouped data with histograms and ogives.

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