Home
AU Year 11 Maths

AU Year 11 Maths made completely easy!

We've got you covered—master 222 different topics, practice over 1140 real world examples, and learn all the best tips and tricks

Meet Dennis, your AU Year 11 Maths tutor
Watch how we take you through a lesson
Learn how to find and search for topics

AU Year 11 Maths Topics

We have plenty of free lessons for you to watch

1.Solving Linear Equations

1.1Solving linear equations using multiplication and division (free lessons)

1.2Solving two-step linear equations:

ax + b = c

{x \over a} + b = c

1.3Solving linear equations using distributive property:

a(x + b) = c

(free lessons)

1.4Solving linear equations with variables on both sides

1.5Solving literal equations

2.Linear Inequalities

2.1Express linear inequalities graphically and algebraically (free lessons)

2.2Solving one-step linear inequalities

2.3Solving multi-step linear inequalities

3.Quadratic Equations and Inequalities

3.1Solving quadratic equations by factoring

3.2Solving quadratic equations by completing the square

3.3Solving quadratic equations using the quadratic formula

3.4Nature of roots of quadratic equations: The discriminant

3.5Applications of quadratic equations

3.6Solving quadratic inequalities

4.Solving Simultaneous Equations

4.1Determining number of solutions to linear equations (free lessons)

4.2Solving simultaneous equations by graphing

4.3Solving simultaneous equations by elimination

4.4Solving simultaneous equations by substitution

4.5Money related questions in linear equations (free lessons)

4.6Unknown number related questions in linear equations

4.7Distance and time related questions in linear equations

4.8Rectangular shape related questions in linear equations

5.Linear programming

5.1What is linear programming?

5.2Linear programming word problems

6.Introduction to Relations and Functions

6.1Relationship between two variables (free lessons)

6.2Understand relations between x- and y-intercepts

6.3Domain and range of a function (free lessons)

6.4Identifying functions

6.5Function notation (free lessons)

7.Direct Variation

7.1Writing and solving for proportions

7.2Understanding graphs of proportional relationships (free lessons)

7.3Graphing and writing equations of proportional relationships

7.4Applications of proportional relationships (free lessons)

8.Imaginary and Complex Numbers

8.1Introduction to imaginary numbers

8.2Complex numbers and complex planes

8.3Adding and subtracting complex numbers

8.4Complex conjugates

8.5Multiplying and dividing complex numbers

8.6Distance and midpoint of complex numbers

8.7Angle and absolute value of complex numbers

8.8Polar form of complex numbers

8.9Operations on complex numbers in polar form

9.Factorising Polynomial

9.1Factorise by taking out the greatest common factor (free lessons)

9.2Factorise by grouping

9.3Factorising difference of squares:

x^2 - y^2

9.4Factorising trinomials:

ax^2 + bx + c

9.5Factoring difference of cubes

9.6Factoring sum of cubes

10.Quadratic Functions

10.1Characteristics of quadratic functions (free lessons)

10.2Transformations of quadratic functions

10.3Quadratic function in general form:

y = ax^2 + bx+c

10.4Quadratic function in vertex form: y =

a(x-p)^2 + q

10.5Completing the square

10.6Converting from general to vertex form by completing the square

10.7Shortcut: Vertex formula (free lessons)

10.8Finding the quadratic functions for given parabolas (free lessons)

10.9Applications of quadratic functions

11.Polynomial Functions

11.1What is a polynomial function? (free lessons)

11.2Polynomial long division (free lessons)

11.3Polynomial synthetic division

11.4Remainder theorem

11.5Factor theorem

11.6Rational zero theorem

11.7Characteristics of polynomial graphs

11.8Multiplicities of polynomials

11.9Imaginary zeros of polynomials

11.10Determining the equation of a polynomial function

11.11Applications of polynomial functions

11.12Solving polynomial inequalities

11.13Fundamental theorem of algebra

12.Radicals

12.1Operations with radicals (free lessons)

12.2Conversion between entire radicals and mixed radicals

12.3Adding and subtracting radicals (free lessons)

12.4Multiplying radicals

12.5Solving radical equations

13.Radical Functions

13.1Basic radical functions

13.2Transformations of radical functions

13.3Square root of a function

13.4Solving radical equations

14.Exponents

14.1Product rule of exponents (free lessons)

14.2Quotient rule of exponents

14.3Power of a product rule

14.4Power of a quotient rule

14.5Power of a power rule (free lessons)

14.6Negative exponent rule

14.7Combining the exponent rules

14.8Scientific notation

14.9Convert between radicals and rational exponents (free lessons)

14.10Solving for exponents

15.Exponential Functions

15.1Exponents: Product rule

(a^x)(a^y)=a^{(x+y)}

(free lessons)

15.2Exponents: Division rule

{a^x \over a^y}=a^{(x-y)}

15.3Exponents: Power rule

(a^x)^y = a^{(x\cdot y)}

(free lessons)

15.4Exponents: Negative exponents

15.5Exponents: Zero exponent:

a^0 = 1

15.6Exponents: Rational exponents

15.7Graphing exponential functions

15.8Graphing transformations of exponential functions

15.9Finding an exponential function given its graph

16.Logarithmic Functions

16.1What is a logarithm?

16.2Converting from logarithmic form to exponential form (free lessons)

16.3Evaluating logarithms without a calculator

16.4Common logarithms

16.5Natural log: ln

16.6Evaluating logarithms using change-of-base formula

16.7Converting from exponential form to logarithmic form (free lessons)

16.8Solving exponential equations with logarithms

16.9Product rule of logarithms (free lessons)

16.10Quotient rule of logarithms

16.11Combining product rule and quotient rule in logarithms

16.12Evaluating logarithms using logarithm rules

16.13Solving logarithmic equations (free lessons)

16.14Graphing logarithmic functions

16.15Finding a logarithmic function given its graph

17.Applications of Exponential and Logarithmic Functions

17.1Exponential growth and decay by a factor

17.2Exponential decay: Half-life (free lessons)

17.3Exponential growth and decay by percentage

17.4Finance: Compound interest

17.5Continuous growth and decay

17.6Logarithmic scale: Richter scale (earthquake)

17.7Logarithmic scale: pH scale

17.8Logarithmic scale: dB scale

17.9Finance: Future value and present value

18.Conics

18.1Conics - Parabola

18.2Conics - Ellipse

18.3Conics - Circle

18.4Conics - Hyperbola

19.Introduction to Trigonometry

19.1Use sine ratio to calculate angles and side (Sin =

\frac{o}{h}

) (free lessons)

19.2Use cosine ratio to calculate angles and side (Cos =

\frac{a}{h}

19.3Use tangent ratio to calculate angles and side (Tan =

\frac{o}{a}

19.4Combination of SohCahToa questions (free lessons)

19.5Solving expressions using 45-45-90 special right triangles (free lessons)

19.6Solving expressions using 30-60-90 special right triangles

19.7Word problems relating ladder in trigonometry

19.8Word problems relating guy wire in trigonometry

19.9Other word problems relating angles in trigonometry

20.Trigonometric Ratios and Angle Measure

20.1Standard angle

20.2Coterminal angles (free lessons)

20.3Reference angles

20.4Find the exact value of trigonometric ratios

20.5ASTC rule in trigonometry (All Students Take Calculus) (free lessons)

20.6Unit circle (free lessons)

20.8Cosine rule

20.9Applications of the sine rule and cosine rule

21.Graphing Trigonometric Functions

21.1Sine graph: y = sin x

21.2Cosine graph: y = cos x

21.3Tangent graph: y = tan x

21.4Cotangent graph: y = cot x

21.5Secant graph: y = sec x

21.6Cosecant graph: y = csc x

21.7Graphing transformations of trigonometric functions

21.8Determining trigonometric functions given their graphs

22.Applications of Trigonometric Functions

22.1Ferris wheel trig problems

22.2Tides and water depth trig problems

22.3Spring (simple harmonic motion) trig problems

23.Trigonometric Identities

23.1Quotient identities and reciprocal identities (free lessons)

23.2Pythagorean identities

23.3Sum and difference identities

23.4Cofunction identities

23.5Double-angle identities (free lessons)

24.Circle Geometry

24.1Angles in a circle (free lessons)

24.2Chord properties

24.3Tangent properties

24.4Circles and circumference

24.5Arcs of a circle

24.6Areas and sectors of circles

24.7Inscribed Angles and Proofs

24.8Central and inscribed angles in circles

25.Sequences and Series

25.1Arithmetic sequences (free lessons)

25.2Arithmetic series (free lessons)

25.3Geometric sequences

25.4Geometric series

25.5Infinite geometric series

25.6Sigma notation

25.7Arithmetic mean vs. Geometric mean

26.Introduction to Probability

26.1Introduction to probability

26.2Organizing outcomes

26.3Probability of independent events

26.4Comparing experimental and theoretical probability

27.Probability

27.1Determining probabilities using tree diagrams and tables (free lessons)

27.2Probability of independent events

27.3Probability with Venn diagrams

28.Statistics

28.1Median and mode

28.3Range and outliers

28.4Application of averages

29.Limits

29.1Finding limits from graphs

29.3Finding limits algebraically - direct substitution

29.4Finding limits algebraically - when direct substitution is not possible

29.5Infinite limits - vertical asymptotes

29.6Limits at infinity - horizontal asymptotes

29.7Intermediate value theorem

29.8Squeeze theorem

30.Derivatives

30.1Definition of derivative

30.3Gradient and equation of tangent line

30.5Derivative of trigonometric functions

30.6Derivative of exponential functions

30.7Product rule

30.8Quotient rule

30.9Implicit differentiation

30.10Derivative of inverse trigonometric functions

30.11Derivative of logarithmic functions

30.12Higher order derivatives

30.13Position velocity acceleration

31.Introduction to Matrices

31.1Notation of matrices

31.2Adding and subtracting matrices

31.3Multiplying a matrix by a scalar

31.4Multiplying a matrix by another matrix

31.5The three types of matrix row operations

31.6Representing a linear system as a matrix

31.7Solving a linear system with matrices using Gaussian elimination

32.Determinants and Inverses of Matrices

32.1The determinant of a 2 x 2 matrix

32.2The determinant of a 3 x 3 matrix (General & Shortcut Method)

32.3The inverse of a 2 x 2 matrix

32.4The inverse of 3 x 3 matrices with matrix row operations

32.5The inverse of 3 x 3 matrix with determinants and adjugate

32.62 x 2 invertible matrix

32.7Solving linear systems using Cramer's Rule

32.8Solving linear systems using 2 x 2 inverse matrices

1.Solving Linear Equations

1.1Solving linear equations using multiplication and division (free lessons)

1.2Solving two-step linear equations:

ax + b = c

{x \over a} + b = c

1.3Solving linear equations using distributive property:

a(x + b) = c

(free lessons)

1.4Solving linear equations with variables on both sides

1.5Solving literal equations

2.Linear Inequalities

2.1Express linear inequalities graphically and algebraically (free lessons)

2.2Solving one-step linear inequalities

2.3Solving multi-step linear inequalities

3.Quadratic Equations and Inequalities

3.1Solving quadratic equations by factoring

3.2Solving quadratic equations by completing the square

3.3Solving quadratic equations using the quadratic formula

3.4Nature of roots of quadratic equations: The discriminant

3.5Applications of quadratic equations

3.6Solving quadratic inequalities

4.Solving Simultaneous Equations

4.1Determining number of solutions to linear equations (free lessons)

4.2Solving simultaneous equations by graphing

4.3Solving simultaneous equations by elimination

4.4Solving simultaneous equations by substitution

4.5Money related questions in linear equations (free lessons)

4.6Unknown number related questions in linear equations

4.7Distance and time related questions in linear equations

4.8Rectangular shape related questions in linear equations

5.Linear programming

5.1What is linear programming?

5.2Linear programming word problems

6.Introduction to Relations and Functions

6.1Relationship between two variables (free lessons)

6.2Understand relations between x- and y-intercepts

6.3Domain and range of a function (free lessons)

6.4Identifying functions

6.5Function notation (free lessons)

7.Direct Variation

7.1Writing and solving for proportions

7.2Understanding graphs of proportional relationships (free lessons)

7.3Graphing and writing equations of proportional relationships

7.4Applications of proportional relationships (free lessons)

8.Imaginary and Complex Numbers

8.1Introduction to imaginary numbers

8.2Complex numbers and complex planes

8.3Adding and subtracting complex numbers

8.4Complex conjugates

8.5Multiplying and dividing complex numbers

8.6Distance and midpoint of complex numbers

8.7Angle and absolute value of complex numbers

8.8Polar form of complex numbers

8.9Operations on complex numbers in polar form

9.Factorising Polynomial

9.1Factorise by taking out the greatest common factor (free lessons)

9.2Factorise by grouping

9.3Factorising difference of squares:

x^2 - y^2

9.4Factorising trinomials:

ax^2 + bx + c

9.5Factoring difference of cubes

9.6Factoring sum of cubes

10.Quadratic Functions

10.1Characteristics of quadratic functions (free lessons)

10.2Transformations of quadratic functions

10.3Quadratic function in general form:

y = ax^2 + bx+c

10.4Quadratic function in vertex form: y =

a(x-p)^2 + q

10.5Completing the square

10.6Converting from general to vertex form by completing the square

10.7Shortcut: Vertex formula (free lessons)

10.8Finding the quadratic functions for given parabolas (free lessons)

10.9Applications of quadratic functions

11.Polynomial Functions

11.1What is a polynomial function? (free lessons)

11.2Polynomial long division (free lessons)

11.3Polynomial synthetic division

11.4Remainder theorem

11.5Factor theorem

11.6Rational zero theorem

11.7Characteristics of polynomial graphs

11.8Multiplicities of polynomials

11.9Imaginary zeros of polynomials

11.10Determining the equation of a polynomial function

11.11Applications of polynomial functions

11.12Solving polynomial inequalities

11.13Fundamental theorem of algebra

12.Radicals

12.1Operations with radicals (free lessons)

12.2Conversion between entire radicals and mixed radicals

12.3Adding and subtracting radicals (free lessons)

12.4Multiplying radicals

12.5Solving radical equations

13.Radical Functions

13.1Basic radical functions

13.2Transformations of radical functions

13.3Square root of a function

13.4Solving radical equations

14.Exponents

14.1Product rule of exponents (free lessons)

14.2Quotient rule of exponents

14.3Power of a product rule

14.4Power of a quotient rule

14.5Power of a power rule (free lessons)

14.6Negative exponent rule

14.7Combining the exponent rules

14.8Scientific notation

14.9Convert between radicals and rational exponents (free lessons)

14.10Solving for exponents

15.Exponential Functions

15.1Exponents: Product rule

(a^x)(a^y)=a^{(x+y)}

(free lessons)

15.2Exponents: Division rule

{a^x \over a^y}=a^{(x-y)}

15.3Exponents: Power rule

(a^x)^y = a^{(x\cdot y)}

(free lessons)

15.4Exponents: Negative exponents

15.5Exponents: Zero exponent:

a^0 = 1

15.6Exponents: Rational exponents

15.7Graphing exponential functions

15.8Graphing transformations of exponential functions

15.9Finding an exponential function given its graph

16.Logarithmic Functions

16.1What is a logarithm?

16.2Converting from logarithmic form to exponential form (free lessons)

16.3Evaluating logarithms without a calculator

16.4Common logarithms

16.5Natural log: ln

16.6Evaluating logarithms using change-of-base formula

16.7Converting from exponential form to logarithmic form (free lessons)

16.8Solving exponential equations with logarithms

16.9Product rule of logarithms (free lessons)

16.10Quotient rule of logarithms

16.11Combining product rule and quotient rule in logarithms

16.12Evaluating logarithms using logarithm rules

16.13Solving logarithmic equations (free lessons)

16.14Graphing logarithmic functions

16.15Finding a logarithmic function given its graph

17.Applications of Exponential and Logarithmic Functions

17.1Exponential growth and decay by a factor

17.2Exponential decay: Half-life (free lessons)

17.3Exponential growth and decay by percentage

17.4Finance: Compound interest

17.5Continuous growth and decay

17.6Logarithmic scale: Richter scale (earthquake)

17.7Logarithmic scale: pH scale

17.8Logarithmic scale: dB scale

17.9Finance: Future value and present value

18.Conics

18.1Conics - Parabola

18.2Conics - Ellipse

18.3Conics - Circle

18.4Conics - Hyperbola

19.Introduction to Trigonometry

19.1Use sine ratio to calculate angles and side (Sin =

\frac{o}{h}

) (free lessons)

19.2Use cosine ratio to calculate angles and side (Cos =

\frac{a}{h}

19.3Use tangent ratio to calculate angles and side (Tan =

\frac{o}{a}

19.4Combination of SohCahToa questions (free lessons)

19.5Solving expressions using 45-45-90 special right triangles (free lessons)

19.6Solving expressions using 30-60-90 special right triangles

19.7Word problems relating ladder in trigonometry

19.8Word problems relating guy wire in trigonometry

19.9Other word problems relating angles in trigonometry

20.Trigonometric Ratios and Angle Measure

20.1Standard angle

20.2Coterminal angles (free lessons)

20.3Reference angles

20.4Find the exact value of trigonometric ratios

20.5ASTC rule in trigonometry (All Students Take Calculus) (free lessons)

20.6Unit circle (free lessons)

20.8Cosine rule

20.9Applications of the sine rule and cosine rule

21.Graphing Trigonometric Functions

21.1Sine graph: y = sin x

21.2Cosine graph: y = cos x

21.3Tangent graph: y = tan x

21.4Cotangent graph: y = cot x

21.5Secant graph: y = sec x

21.6Cosecant graph: y = csc x

21.7Graphing transformations of trigonometric functions

21.8Determining trigonometric functions given their graphs

22.Applications of Trigonometric Functions

22.1Ferris wheel trig problems

22.2Tides and water depth trig problems

22.3Spring (simple harmonic motion) trig problems

23.Trigonometric Identities

23.1Quotient identities and reciprocal identities (free lessons)

23.2Pythagorean identities

23.3Sum and difference identities

23.4Cofunction identities

23.5Double-angle identities (free lessons)

24.Circle Geometry

24.1Angles in a circle (free lessons)

24.2Chord properties

24.3Tangent properties

24.4Circles and circumference

24.5Arcs of a circle

24.6Areas and sectors of circles

24.7Inscribed Angles and Proofs

24.8Central and inscribed angles in circles

25.Sequences and Series

25.1Arithmetic sequences (free lessons)

25.2Arithmetic series (free lessons)

25.3Geometric sequences

25.4Geometric series

25.5Infinite geometric series

25.6Sigma notation

25.7Arithmetic mean vs. Geometric mean

26.Introduction to Probability

26.1Introduction to probability

26.2Organizing outcomes

26.3Probability of independent events

26.4Comparing experimental and theoretical probability

27.Probability

27.1Determining probabilities using tree diagrams and tables (free lessons)

27.2Probability of independent events

27.3Probability with Venn diagrams

28.Statistics

28.1Median and mode

28.3Range and outliers

28.4Application of averages

29.Limits

29.1Finding limits from graphs

29.3Finding limits algebraically - direct substitution

29.4Finding limits algebraically - when direct substitution is not possible

29.5Infinite limits - vertical asymptotes

29.6Limits at infinity - horizontal asymptotes

29.7Intermediate value theorem

29.8Squeeze theorem

30.Derivatives

30.1Definition of derivative

30.3Gradient and equation of tangent line

30.5Derivative of trigonometric functions

30.6Derivative of exponential functions

30.7Product rule

30.8Quotient rule

30.9Implicit differentiation

30.10Derivative of inverse trigonometric functions

30.11Derivative of logarithmic functions

30.12Higher order derivatives

30.13Position velocity acceleration

31.Introduction to Matrices

31.1Notation of matrices

31.2Adding and subtracting matrices

31.3Multiplying a matrix by a scalar

31.4Multiplying a matrix by another matrix

31.5The three types of matrix row operations

31.6Representing a linear system as a matrix

31.7Solving a linear system with matrices using Gaussian elimination

32.Determinants and Inverses of Matrices

32.1The determinant of a 2 x 2 matrix

32.2The determinant of a 3 x 3 matrix (General & Shortcut Method)

32.3The inverse of a 2 x 2 matrix

32.4The inverse of 3 x 3 matrices with matrix row operations

32.5The inverse of 3 x 3 matrix with determinants and adjugate

32.62 x 2 invertible matrix

32.7Solving linear systems using Cramer's Rule

32.8Solving linear systems using 2 x 2 inverse matrices

Don't see the math help you need?

Don't fret, try searching all our of topics.

Students and parents love our maths help

But don't take our word for it…

Sadie Martin

Year 11 maths student, Adelaide, South Australia (SA), Australia

"Long maths class in school doesn’t suit my learning style. Short and concise lesson is much better. That’s why StudyPug works for me. It also covers everything that I need to know for my maths class and homework. It saves me from the trouble searching for help on the Internet."

Carson E.

parent

When we saw our son's grades we looked online for a convenient, affordable and effective solution. StudyPug has been a great investment.

Jason G.

high school senior

This website saved my butt last semester. I am using it againthis semester. Dennis is the best online tutor... I also like that I can watch videos over and over until I really understand the concept. If you want to save time, sign up...it's only ten bucks and it saved me hours of study time. Thanks, Dennis!

See all our testimonials

Ready to do better in AU Year 11 Maths?

Don't procrastinate any longer, it could be too late!

Yes, I want to do better in Maths

78Topics

474Lessons

685Practice Q's

119Topics

751Lessons

1132Practice Q's

86Topics

571Lessons

1000Practice Q's

174Topics

1108Lessons

1427Practice Q's

260Topics

1500Lessons

1526Practice Q's

231Topics

1300Lessons

1144Practice Q's

239Topics

1375Lessons

1040Practice Q's

210Topics

1170Lessons

1413Practice Q's

46Topics

318Lessons

173Practice Q's

31Topics

189Lessons

177Practice Q's

63Topics

445Lessons

190Practice Q's

236Topics

1425Lessons

1374Practice Q's

104Topics

634Lessons

561Practice Q's

217Topics

1228Lessons

1265Practice Q's

289Topics

1759Lessons

1594Practice Q's

26Topics

151Lessons

24Practice Q's

54Topics

347Lessons

232Practice Q's

No Javascript

It looks like you have javascript disabled.

You can still navigate around the site and check out our free content, but some functionality, such as sign up, will not work.

If you do have javascript enabled there may have been a loading error; try refreshing your browser.