ponder.
Get early access
Australian Curriculum v9.0 · Years 11–12

Years 11 and 12 practice, mapped to the Australian Curriculum.

General maths revision for the senior years, with the same hint-first steps as every Ponder set.

What does Years 11 and 12 practice cover in Ponder?

For Years 11 and 12, Ponder has 5 general maths revision sets: functions and algebra, statistics and conditional probability, calculus basics, exact values, the unit circle and the sine rule and sequences, series and compound interest. Senior courses differ by state (WACE, HSC, VCE, QCE and others), so these sets are labelled general revision and are not tied to a state’s course or exam format.

Mathematics 5 sets

  • Functions and algebra

    For Years 11–12 · 6 questions

    Gradients, function notation, quadratics and index laws, as in most senior algebra courses.

    For parents: Across Years 11 to 12, your child learns to use function notation, gradients, quadratics and index laws (general senior revision, not a state course).

    A general-capabilities set (no content-description codes).

    Sample question and its hints

    Find the gradient of the line through (2, 5) and (6, 17).

    1. Gradient measures how steep the line is: rise over run.
    2. Subtract the y values, subtract the x values in the same order, then divide.
    3. (1, 2) and (3, 10): (10 − 2) ÷ (3 − 1) = 8 ÷ 2 = 4. Now try yours.

  • Statistics and conditional probability

    For Years 11–12 · 6 questions

    Mean, median, spread, and probability from two-way tables.

    For parents: Across Years 11 to 12, your child learns to summarise data with averages and spread, and use two-way tables for probability (general senior revision, not a state course).

    A general-capabilities set (no content-description codes).

    Sample question and its hints

    Find the mean of 3, 5, 8, 12 and 17.

    1. The mean is the total shared equally between all the values.
    2. Add all the values, then divide by how many there are.
    3. Mean of 2, 4 and 9: (2 + 4 + 9) ÷ 3 = 15 ÷ 3 = 5. Now try yours.

  • Calculus basics

    Year 12 · 6 questions

    Derivatives, tangents, stationary points and antiderivatives. For courses that include calculus (e.g. Methods).

    For parents: By the end of Year 12, your child should be able to find derivatives, tangents, stationary points and antiderivatives (general senior revision, not a state course).

    A general-capabilities set (no content-description codes).

    Sample question and its hints

    Differentiate f(x) = 3x² + 2x − 7.

    1. Differentiate each term separately using the power rule.
    2. For axⁿ the derivative is n × a × xⁿ⁻¹. A constant term differentiates to 0.
    3. f(x) = 5x² − 4x + 9 gives f′(x) = 10x − 4. Now try yours.

  • Exact values, the unit circle and the sine rule

    For Years 11–12 · 6 questions

    Exact values, angles beyond 90° and triangles without a right angle.

    For parents: Across Years 11 to 12, your child learns to use exact values, the unit circle and the sine rule (general senior revision, not a state course).

    A general-capabilities set (no content-description codes).

    Sample question and its hints

    What is the exact value of sin 60°?

    Choices: 1/2 · √2/2 · √3/2 · √3

    1. Exact values come from special triangles. 60° comes from an equilateral triangle cut in half.
    2. An equilateral triangle with sides 2, cut in half, has sides 1, √3 and 2. Sine = opposite ÷ hypotenuse.
    3. In that same triangle, cos 60° = adjacent ÷ hypotenuse = 1 ÷ 2. Now try yours.

  • Sequences, series and compound interest

    Year 12 · 6 questions

    Arithmetic and geometric patterns, sums and money that grows.

    For parents: By the end of Year 12, your child should be able to work with arithmetic and geometric sequences, their sums and compound interest (general senior revision, not a state course).

    A general-capabilities set (no content-description codes).

    Sample question and its hints

    Find the 20th term of the arithmetic sequence 7, 11, 15, …

    1. An arithmetic sequence adds the same common difference each time.
    2. Use tₙ = a + (n − 1)d, with a = 7, d = 4 and n = 20.
    3. For 2, 5, 8, …, the 10th term is 2 + 9 × 3 = 29. Now try yours.

How every practice set works

Each set has a few short questions. Every question follows the same five problem-solving steps, and the three hints line up with the first three steps, so help builds from a nudge to a worked example of a similar problem. The answer is never the first thing a learner sees.

StepThe learner asksA grown-up can ask
UnderstandWhat is the question asking?What is the question asking you to find?
PlanHow could I work it out?What could you try first? Would a picture help?
TryHave a go. A guess is a good start.Have a go, and tell me what you’re thinking.
CheckDoes my answer make sense?How could you check that?
ReflectWhat helped me? What would I do next time?What helped you? What would you do next time?

After each answer, Ponder explains why it’s right, or what to look at again. At the end of a set it celebrates the strategies the learner used, such as draw a picture, break it into parts and look for a pattern.

See the step-by-step walkthrough of a practice set →

Straight answers

Questions people ask

Do these sets follow the WACE, HSC or VCE course?

No. Senior courses are set by each state, with different subjects, units and exams. Ponder’s Years 11 and 12 sets are general maths revision, labelled “not tied to your state’s course”, and avoid state exam formats.

Will Ponder add senior courses?

Course-specific senior content will come once Ponder chooses which states to support first. Until then, it offers general revision only, so nothing claims to match a course it doesn’t.

Will Ponder give my child the answers?

Not straight away. Each question has three hints that build from a nudge to a worked example of a similar problem. After an answer, Ponder explains why it’s right or what to look at again.

Content descriptions © Australian Curriculum, Assessment and Reporting Authority (ACARA) 2009 to present, unless otherwise indicated. They were downloaded from the Australian Curriculum website (accessed 27 September 2026) and were not modified, except that a few end early where the website shows a fraction or symbol as an image. Licensed under CC BY 4.0. Ponder is not affiliated with or endorsed by ACARA.

Try a Years 11 and 12 set the question-first way.

Ponder is in preview. Explore the app now with no account, and join the launch list to hear first when accounts open later this year.

Join the launch listExplore the app →