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Australian Curriculum v9.0 · Year 10

Year 10 practice, mapped to the Australian Curriculum.

What Ponder’s built-in practice covers in Year 10, set by set, with the content descriptions each set is tagged with.

What does Year 10 practice cover in Ponder?

In Year 10, Ponder has 15 practice sets: 5 in maths (equations, inequalities and simultaneous equations; compound interest and exponential growth; bearings, elevation and similar triangles; and more), 4 in English (evaluating argument and representation; punctuation, syntax and register for effect; context, values and intertextuality; and more) and 3 in science (genetics, evolution, atoms and motion; the universe, climate and reactions; cells), plus HASS, wellbeing and study skills. Sets are tagged with Australian Curriculum v9.0 content descriptions, and every question has hints that guide rather than give the answer.

Free check: see what is going well in Year 10 maths or English, and what to practise next →

Mathematics 5 sets

  • Equations, inequalities and simultaneous equations

    Year 10 · 6 questions

    Simplify, solve and compare: phone plans, fractions and pairs of equations.

    For parents: By the end of Year 10, your child should be able to solve equations, inequalities and pairs of simultaneous equations, and explain what the answers mean.

    • AC9M10A01expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property
    • AC9M10A02solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation
    Sample question and its hints

    Expand and simplify 2(x + 5) − 3(x − 1).

    1. Expand each bracket, keeping the sign in front of each number, then collect like terms.
    2. Multiply −3 by both x and −1. Two negatives multiplied make a positive.
    3. 4(x + 2) − 2(x − 3) = 4x + 8 − 2x + 6 = 2x + 14. Now try yours.
  • Compound interest and exponential growth

    Year 10 · 6 questions

    Savings, car values and bacteria: growth and decay by a percentage.

    For parents: By the end of Year 10, your child should be able to model growth and decay by a percentage, including compound interest, and link it to its graph.

    • AC9M10A03recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate
    • AC9M10A04use mathematical modelling to solve applied problems involving growth and decay, including financial contexts; formulate problems, choosing to apply linear, quadratic or exponential models; interpret solutions in terms of the situation; evaluate and modify models as necessary and report assumptions, methods and findings
    Sample question and its hints

    Jack invests $5000 at 4% per year, compounded annually. What is the investment worth after 3 years? Give your answer to the nearest cent.

    1. Each year the balance grows by 4% of the new balance, not the original amount.
    2. Multiply by 1.04 once for each year: 5000 × 1.04³.
    3. $3000 at 2% for 2 years: 3000 × 1.02² = $3121.20. Now try yours.
  • Bearings, elevation and similar triangles

    Year 10 · 6 questions

    Trees, cliffs, boats and flagpoles: trigonometry and similarity at work.

    For parents: By the end of Year 10, your child should be able to solve practical problems with trigonometry, including angles of elevation and bearings, and use similar triangles.

    • AC9M10M03solve practical problems applying Pythagoras’ theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression
    • AC9M10M05use mathematical modelling to solve practical problems involving proportion and scaling of objects; formulate problems and interpret solutions in terms of the situation; evaluate and modify models as necessary, and report assumptions, methods and findings
    • AC9M10SP01apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems
    Sample question and its hints

    You stand 50 m from the base of a tall gum tree on flat ground. The angle of elevation to the top of the tree is 28°. How tall is the tree, correct to one decimal place?

    1. Sketch a right-angled triangle: the ground is one side, the tree is the other, and the 28° is at your feet.
    2. The tree is opposite the angle and the 50 m is adjacent. Use tan θ = opposite ÷ adjacent.
    3. 30 m away, elevation 40°: height = 30 × tan 40° ≈ 25.2 m. Now try yours.
  • Box plots, scatterplots and conditional probability

    Year 10 · 6 questions

    Quartiles, outliers, association and “given that”: read data like a statistician.

    For parents: By the end of Year 10, your child should be able to compare data with box plots, describe a scatterplot, and use two-way tables and conditional probability.

    • AC9M10ST02compare data distributions for continuous numerical variables using appropriate data displays including boxplots; discuss the shapes of these distributions in terms of centre, spread, shape and outliers in the context of the data
    • AC9M10ST03construct scatterplots and comment on the association between the 2 numerical variables in terms of strength, direction and linearity
    • AC9M10ST04construct two-way tables and discuss possible relationship between categorical variables
    • AC9M10P01use the language of “if ... then”, “given”, “of”, “knowing that” to describe and interpret situations involving conditional probability
    Sample question and its hints

    Find the interquartile range of 3, 5, 7, 8, 10, 12, 15, 18.

    1. IQR = upper quartile (Q3) − lower quartile (Q1).
    2. Split the 8 values into a lower half and an upper half. Q1 and Q3 are the medians of each half.
    3. For 2, 4, 6, 8, 10, 12: Q1 = 4 and Q3 = 10, so IQR = 6. Now try yours.
  • Percentages

    For Years 7–10 · 6 questions

    Discounts, class surveys and percentage increase, in dollars and cents.

    For parents: Across Years 7 to 10, your child learns to work out discounts, percentage increases and decreases, and compare amounts as percentages.

    • AC9M7N06use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies
    • AC9M7N09use mathematical modelling to solve practical problems, involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation
    • AC9M8N05use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing efficient calculation strategies and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model
    Sample question and its hints

    What is 25% of $80?

    1. 25% means 25 out of every 100, which is the same as a quarter.
    2. Change the percentage into a fraction or a decimal, then multiply it by 80.
    3. 25% of $40: a quarter of 40 is 10, so it’s $10. Now try yours.

English 4 sets

  • Evaluating argument and representation

    Year 10 · 6 questions

    Weigh up a letter to the editor: how does it represent young people, and is that fair?

    For parents: By the end of Year 10, your child should be able to evaluate how an argument is built and how it represents people and ideas, and whether that is fair.

    • AC9E10LY03analyse and evaluate how language features are used to implicitly or explicitly represent values, beliefs and attitudes
    • AC9E10LY01analyse and evaluate how people, places, events and concepts are represented in texts and reflect contexts
    • AC9E10LY04analyse and evaluate how authors organise ideas in texts to achieve a purpose
    Sample question and its hints

    How are teenagers represented in the first paragraph?

    Choices: As skilled athletes practising a sport · As a noisy, messy group that takes over a shared space · As individuals with different views

    1. Representation is how a text portrays a group, not necessarily how they really are.
    2. Collect the words linked to teenagers in paragraph 1: nouns, verbs and details.
    3. If a report calls shoppers “a frenzied mob”, it represents them as out of control. Now try yours.
  • Punctuation, syntax and register for effect

    Year 10 · 6 questions

    Bend punctuation and word order on purpose, and pick the right register for the job.

    For parents: By the end of Year 10, your child should be able to use punctuation and sentence structure for effect, and choose the right register and vocabulary for formal writing.

    • AC9E10LA09understand how authors use and experiment with punctuation
    • AC9E10LA06analyse how meaning and style are achieved through syntax
    • AC9E10LA05analyse and evaluate the effectiveness of particular sentence structures to express and craft ideas
    • AC9E10LA08use an expanded technical and academic vocabulary for precision when writing academic texts
    Sample question and its hints

    What is the main effect of the ellipsis in this line from a story?

    Choices: It trails off, leaving readers in suspense about what was found · It shows that words have been removed from a quotation · It introduces a list of items behind the door

    1. An ellipsis is three dots. In stories, think about what happens when a sentence just stops.
    2. Ask how a reader feels when the sentence doesn’t finish.
    3. “The phone rang at midnight, and the voice said…” leaves us wanting more. Now try yours.
  • Context, values and intertextuality

    Year 10 · 6 questions

    A future heatwave, a homemade drone and an ancient myth: read a story through its context and values.

    For parents: By the end of Year 10, your child should be able to read a text in light of its context and values, and explain how links to other texts shape its meaning.

    • AC9E10LE01analyse representations of individuals, groups and places and evaluate how they reflect their context in literary texts by First Nations Australian, and wide-ranging Australian and world authors
    • AC9E10LE04evaluate the social, moral or ethical positions represented in literature
    • AC9E10LE05analyse how text structure, language features, literary devices and intertextual connections shape interpretations of texts
    Sample question and its hints

    The father’s joke refers to a well-known Greek myth. What is the term for a brief reference to another text, story or myth?

    1. The father doesn’t retell the myth. He just hints at it, trusting the reader to recognise it.
    2. The word sounds like “illusion” but starts with a different vowel.
    3. Calling a strong person “a real Hercules” points to an ancient story the same way. Now try yours.
  • Persuasive techniques

    For Years 7–10 · 6 questions

    Spot and use the tools persuasive writers rely on: emotive words, evidence, rhetorical questions and more.

    For parents: Across Years 7 to 10, your child learns to spot persuasive techniques such as emotive words, evidence and rhetorical questions, and explain their effect.

    • AC9E7LY03analyse the ways in which language features shape meaning and vary according to audience and purpose
    • AC9E9LY03analyse and evaluate how language features are used to represent a perspective of an issue, event, situation, individual or group
    • AC9E10LY03analyse and evaluate how language features are used to implicitly or explicitly represent values, beliefs and attitudes
    Sample question and its hints

    “Don’t you want a cleaner, safer park for your children?” Which technique is this?

    Choices: Statistics · Expert opinion · Rhetorical question · Anecdote

    1. Look at the type of sentence, and what the writer expects you to do with it.
    2. Ask yourself: does the writer really want a reply, or do they expect everyone to agree?
    3. “Who wouldn’t want free ice cream?” isn’t waiting for an answer. It pushes you to agree. Now try yours.

Science 3 sets

  • Genetics, evolution, atoms and motion

    Year 10 · 6 questions

    Punnett squares, meiosis, cane toad evolution, the periodic table and F = ma.

    For parents: By the end of Year 10, your child should be able to explain how genes are inherited and how evolution works, use the periodic table, and relate force, mass and acceleration.

    • AC9S10U01explain the role of meiosis and mitosis and the function of chromosomes, DNA and genes in heredity and predict patterns of Mendelian inheritance
    • AC9S10U02use the theory of evolution by natural selection to explain past and present diversity and analyse the scientific evidence supporting the theory
    • AC9S10U05investigate Newton’s laws of motion and quantitatively analyse the relationship between force, mass and acceleration of objects
    • AC9S10U06explain how the structure and properties of atoms relate to the organisation of the elements in the periodic table
    Sample question and its hints

    In guinea pigs, black fur (B) is dominant over white fur (b). Two Bb parents have offspring. What is the percentage chance that an offspring has white fur?

    1. White fur only appears when an offspring inherits two recessive alleles, bb.
    2. Draw a Punnett square with B and b from each parent. Count the boxes that are bb.
    3. For BB × bb, every box is Bb, so 0% of the offspring show the recessive trait. Now try yours.
  • The universe, climate and reactions

    Year 10 · 6 questions

    Evidence for the big bang, the greenhouse effect, atomic structure and reaction rates.

    For parents: By the end of Year 10, your child should be able to describe the evidence for the big bang, explain the greenhouse effect, and say what changes the rate of a reaction.

    • AC9S10U03describe how the big bang theory models the origin and evolution of the universe and analyse the supporting evidence for the theory
    • AC9S10U04use models of energy flow between the geosphere, biosphere, hydrosphere and atmosphere to explain patterns of global climate change
    • AC9S10U06explain how the structure and properties of atoms relate to the organisation of the elements in the periodic table
    • AC9S10U07identify patterns in synthesis, decomposition and displacement reactions and investigate the factors that affect reaction rates
    Sample question and its hints

    Which observation is evidence for the big bang theory?

    Choices: Stars twinkle at night · The sun rises in the east · Light from distant galaxies is red-shifted, showing they are moving away from us

    1. The big bang theory says the universe began very hot and dense and has been expanding ever since.
    2. Look for an observation that shows galaxies moving apart.
    3. In a rising loaf of raisin bread, every raisin moves away from every other one as the dough expands, and raisins far apart separate fastest. Now try yours.
  • Cells

    For Years 8–10 · 6 questions

    The building blocks of life: cell parts, plant and animal cells, and using a microscope.

    For parents: Across Years 8 to 10, your child learns to describe the parts of plant and animal cells and what they do, and how cells build tissues and organs.

    • AC9S8U01recognise cells as the basic units of living things, compare plant and animal cells, and describe the functions of specialised cell structures and organelles
    • AC9S8U02analyse the relationship between structure and function of cells, tissues and organs in a plant and an animal organ system and explain how these systems enable survival of the individual
    Sample question and its hints

    Which part of a cell controls its activities and holds its DNA?

    Choices: Cell membrane · Cytoplasm · Nucleus · Vacuole

    1. We need the part that acts like the cell’s control centre.
    2. Think about where the genetic instructions are kept. It is usually a large, round structure inside the cell.
    3. Ribosomes build proteins, a bit like a factory floor. Each part of a cell has its own job. Now try yours.

Humanities and Social Sciences (HASS) 1 set

  • Rights and freedoms, and environmental change

    Year 10 · 6 questions

    The 1967 referendum, the Freedom Ride, human rights, and managing environmental change.

    For parents: By the end of Year 10, your child should be able to explain key events in the campaign for First Nations Australians’ rights, human rights, and how environments change.

    • AC9HH10K10the contributions of significant individuals and groups in the campaign for the recognition of the rights of First Nations Australians and the extent to which they brought change to Australian society
    • AC9HH10K11the significant events and methods in the movement for the civil rights of First Nations Australians and the extent to which they contributed to change
    • AC9HH10K15the origins and significance of the Universal Declaration of Human Rights, including Australia’s involvement in the development of the declaration
    • AC9HG10K01the human-induced changes that challenge the sustainability of places and environments
    • AC9HG10K04causes and effects of a change in an identified environment at a local, national or global scale, and strategies to manage sustainability
    Sample question and its hints

    In which year did Australians vote, with over 90% saying Yes, to change the Constitution so that Aboriginal and Torres Strait Islander people were counted in the national census and the Commonwealth could make laws for them?

    1. A referendum is a national vote to change the Constitution. This one is one of the most successful in Australia’s history.
    2. It came two years after the Freedom Ride of 1965.
    3. The Wave Hill Walk-Off began in 1966, one year after the Freedom Ride of 1965. Now try yours.

Wellbeing 1 set

  • Managing stress and staying safe online

    For Years 7–10 · 6 questions

    Handle test stress, protect your sleep and know what to do about online bullying.

    For parents: Across Years 7 to 10, your child learns to use a few ways to handle stress and protect their sleep, and know what to do about online bullying.

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

    Sample question and its hints

    Just before a test, your heart is racing and your mind feels jumbled. What is the most helpful thing to do?

    Choices: Take a few slow breaths, breathing out for longer than you breathe in · Tell yourself you are going to fail · Skim every page of your notes one last time · Drink an energy drink for a boost

    1. A racing heart is your body’s stress response. What helps the body settle?
    2. Look for the option that works on your body, not one that adds more pressure.
    3. Before a big race, some athletes roll their shoulders and loosen their hands to ease tension. Now try yours.

Study skills 1 set

  • Revision that works and exam questions

    For Years 9–10 · 6 questions

    Use spaced and retrieval practice, plan your revision and decode command words.

    For parents: Across Years 9 to 10, your child learns to plan revision using spaced and retrieval practice, and understand what exam command words ask for.

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

    Sample question and its hints

    Two students each spend 3 hours revising the same topic. Who is likely to remember more in the exam?

    Choices: Jess, who revises for 3 hours straight the night before · Tom, who does six 30-minute sessions spread over two weeks · They will remember exactly the same, since the total time is equal

    1. Both spend the same total time. What is different about how they use it?
    2. Think about which plan makes you come back to the topic again and again, with gaps in between.
    3. Watering a plant a little each day keeps it healthier than one huge bucket once a week. 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

What do Year 10 students learn in maths in Australia?

Under the Australian Curriculum v9.0, Year 10 maths covers number, algebra, measurement, space, statistics and probability. Ponder’s Year 10 maths sets practise equations, inequalities and simultaneous equations, compound interest and exponential growth, bearings, elevation and similar triangles, box plots, scatterplots and conditional probability and percentages. The full list of content descriptions is on the Australian Curriculum website.

Does this follow my state’s curriculum?

Every state and territory teaches Foundation to Year 10 content from the Australian Curriculum, either directly or through its own version built from it (NSW and Victoria publish their own syllabuses). Ponder tags sets with v9.0 codes, so they line up with what is taught in every state, though schools order topics differently.

Can my child try these sets now?

Yes. Open the Ponder app, choose the learner side, then pick a subject and a set. No account is needed while Ponder is in preview.

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.

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