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Australian Curriculum v9.0 · Year 9

Year 9 practice, mapped to the Australian Curriculum.

What Ponder’s built-in practice covers in Year 9, set by set, with the content descriptions each set is tagged with.

What does Year 9 practice cover in Ponder?

In Year 9, Ponder has 19 practice sets: 6 in maths (pythagoras and trigonometry; binomials, index laws and simple interest; scientific notation and comparing data; and more), 5 in English (nominalisation, word choice and sentence effects; perspective, voice and symbolism; summarising, quoting and referencing; and more) and 5 in science (reactions, atoms and energy; body control, reproduction and the carbon cycle; waves, the atom and radioactivity; and more), 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 9 maths or English, and what to practise next →

Mathematics 6 sets

  • Pythagoras and trigonometry

    Year 9 · 6 questions

    Ladders, kites and the Cartesian plane: right-angled triangles at work.

    For parents: By the end of Year 9, your child should be able to use Pythagoras’ theorem and trigonometry in right-angled triangles, and find gradient, midpoint and distance between points.

    • AC9M9M03solve spatial problems, applying angle properties, scale, similarity, Pythagoras’ theorem and trigonometry in right-angled triangles
    • AC9M9A03find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane
    Sample question and its hints

    A right-angled triangle has shorter sides of 9 cm and 12 cm. How long is the hypotenuse?

    1. The hypotenuse is the longest side, opposite the right angle.
    2. Use c² = a² + b²: square both shorter sides, add them, then take the square root.
    3. Sides 6 and 8: 36 + 64 = 100, and √100 = 10. Now try yours.
  • Binomials, index laws and simple interest

    Year 9 · 6 questions

    Expand and factorise quadratics, use index laws and work out interest.

    For parents: By the end of Year 9, your child should be able to use index laws with variables, expand and factorise simple quadratics, and work out simple interest.

    • AC9M9A01apply the exponent laws to numerical expressions with integer exponents and extend to variables
    • AC9M9A02simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions
    • AC9M9A04identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate
    • AC9M9A05use mathematical modelling to solve applied problems involving change including financial contexts; formulate problems, choosing to use either linear or quadratic functions; interpret solutions in terms of the situation; evaluate the model and report methods and findings
    Sample question and its hints

    Expand and simplify (x + 4)(x + 3).

    1. Every term in the first bracket multiplies every term in the second bracket.
    2. Multiply First, Outer, Inner and Last pairs, then collect the like terms in the middle.
    3. (x + 1)(x + 5) = x² + 5x + x + 5 = x² + 6x + 5. Now try yours.
  • Scientific notation and comparing data

    Year 9 · 6 questions

    Write huge and tiny measurements neatly, then compare two sets of results.

    For parents: By the end of Year 9, your child should be able to write very large and very small numbers in scientific notation, and compare two sets of data.

    • AC9M9M02solve problems involving very small and very large measurements, time scales and intervals expressed in scientific notation
    • AC9M9ST03represent the distribution of multiple data sets for numerical variables using comparative representations; compare data distributions with consideration of centre, spread and shape, and the effect of outliers on these measures
    Sample question and its hints

    The Sun is about 150 000 000 km from Earth. Write this distance in scientific notation.

    1. Scientific notation is a number from 1 up to (but not including) 10, multiplied by a power of 10.
    2. Place the decimal point after the first digit, then count how many places it moved.
    3. 4 200 000 = 4.2 × 10^6, because the point moves 6 places. Now try yours.
  • Compound probability and surface area

    Year 9 · 6 questions

    Pick marbles with and without replacement, then wrap boxes and tins.

    For parents: By the end of Year 9, your child should be able to list outcomes with and without replacement, estimate probabilities from data, and find the surface area of prisms and cylinders.

    • AC9M9P01list all outcomes for compound events both with and without replacement, using lists, tree diagrams, tables or arrays; assign probabilities to outcomes
    • AC9M9P02calculate relative frequencies from given or collected data to estimate probabilities of events involving “and”, inclusive “or” and exclusive “or”
    • AC9M9M01solve problems involving the volume and surface area of right prisms and cylinders using appropriate units
    Sample question and its hints

    A bag has 3 red and 2 blue marbles. One marble is picked, put back, and then a second marble is picked. What is the probability that both are red?

    1. Because the marble goes back, the chance of red is the same on both picks.
    2. P(red, red) = P(red) × P(red).
    3. With 1 green and 3 yellow, replaced: P(green, green) = 1/4 × 1/4 = 1/16. Now try yours.
  • Algebra basics

    For Years 7–9 · 6 questions

    Pronumerals, writing and substituting into expressions, and solving simple equations.

    For parents: Across Years 7 to 9, your child learns to use letters for unknown numbers, substitute into expressions, and solve simple equations.

    • AC9M7A01recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown
    • AC9M7A03solve one-variable linear equations with natural number solutions; verify the solution by substitution
    • AC9M8A01create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties
    Sample question and its hints

    Which expression means “5 more than a number n”?

    Choices: 5n · n + 5 · n − 5 · 5 − n

    1. A pronumeral like n stands for a number we don’t know yet.
    2. Try a real number. If n were 10, what is 5 more than it? Which expression gives that?
    3. “3 less than x” means start with x and take away 3, written x − 3. 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 5 sets

  • Nominalisation, word choice and sentence effects

    Year 9 · 6 questions

    Turn actions into ideas, weigh word choices and break sentence rules on purpose.

    For parents: By the end of Year 9, your child should be able to turn actions into ideas (nominalisation), weigh how word choice sets tone, and vary sentences for effect.

    • AC9E9LA06understand how abstract nouns and nominalisation can be used to summarise ideas in text
    • AC9E9LA08analyse how vocabulary choices contribute to style, mood and tone
    • AC9E9LA05identify how authors vary sentence structures creatively for effects, such as intentionally using a dependent clause on its own or a sentence fragment
    Sample question and its hints

    Nominalise the verb to complete the sentence.

    1. Nominalisation turns a verb (an action) into a noun (a thing or idea).
    2. Ask: what do we call the thing the council made when it decided?
    3. Discuss becomes discussion; arrive becomes arrival. Now try yours.
  • Perspective, voice and symbolism

    Year 9 · 6 questions

    A house for sale and a lemon tree: read how voice and symbol carry what nobody says.

    For parents: By the end of Year 9, your child should be able to analyse how voice, symbolism and perspective shape a story and what it says about people and places.

    • AC9E9LE05analyse the effect of text structures, language features and literary devices such as extended metaphor, metonymy, allegory, symbolism and intertextual references
    • AC9E9LE01analyse the representations of people and places in literary texts, drawn from historical, social and cultural contexts, by First Nations Australian, and wide-ranging Australian and world authors
    • AC9E9LE04analyse texts and evaluate the aesthetic qualities and appeal of an author’s literary style
    Sample question and its hints

    From whose perspective is the story told?

    Choices: First person, by Nonna’s grandchild · First person, by Nonna · Third person, by an all-knowing narrator

    1. Look at the pronouns the narrator uses for themselves.
    2. Who says “I find Nonna in the backyard”? What is their relationship to her?
    3. A story that says “I watched Grandad fix the bike” is narrated by the grandchild. Now try yours.
  • Summarising, quoting and referencing

    Year 9 · 6 questions

    Summarise an extract about the Dog Fence, then quote, paraphrase and cite it properly (from a made-up practice source).

    For parents: By the end of Year 9, your child should be able to summarise a text, quote and paraphrase it, and reference sources correctly.

    • AC9E9LY05use comprehension strategies such as visualising, predicting, connecting, summarising, monitoring, questioning and inferring to compare and contrast ideas and opinions in and between texts
    • AC9E9LA09understand punctuation conventions for referencing and citing others for formal and informal purposes
    • AC9E9LY04analyse the organisation of ideas in paragraphs and extended texts, and evaluate its impact on meaning
    Sample question and its hints

    Which is the best one-sentence summary of the extract?

    Choices: The Dog Fence was built to protect sheep from dingoes, but it has also changed ecosystems on either side. · The Dog Fence is about 5,600 kilometres long. · Dingoes are dangerous animals that should be kept out of every state.

    1. A summary captures the main ideas of the whole text in a few words.
    2. Find the main idea of each paragraph, then look for the option that combines them.
    3. A summary of a text on school uniforms might be: “Uniforms save families money, but some students feel they limit self-expression.” 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.
  • Figurative language

    For Years 7–9 · 6 questions

    Similes, metaphors, personification and onomatopoeia, and what they add to a text.

    For parents: Across Years 7 to 9, your child learns to recognise similes, metaphors, personification and onomatopoeia, and explain what they add to a text.

    • AC9E8LA02understand how layers of meaning can be created when evaluating by using literary devices such as simile and metaphor
    • AC9E8LE05analyse how language features such as sentence patterns create tone, and literary devices such as imagery create meaning and effect
    • AC9E9LA02understand how evaluation can be expressed directly and indirectly using devices such as allusion, evocative vocabulary and metaphor
    Sample question and its hints

    “The classroom was a zoo after lunch.” What kind of figurative language is this?

    Choices: Simile · Metaphor · Personification · Onomatopoeia

    1. The sentence compares two things that aren’t really the same.
    2. Check how the comparison is made. Does it use “like” or “as”, or does it say one thing is another?
    3. “Her voice was music to my ears” says one thing is another, without “like” or “as”. Now try yours.

Science 5 sets

  • Reactions, atoms and energy

    Year 9 · 6 questions

    Conservation of mass, balancing equations, efficiency, the carbon cycle and what is inside an atom.

    For parents: By the end of Year 9, your child should be able to balance simple chemical equations, describe the carbon cycle, work out energy efficiency, and describe the atom.

    • AC9S9U03represent the carbon cycle and examine how key processes including combustion, photosynthesis and respiration rely on interactions between Earth’s spheres (the geosphere, biosphere, hydrosphere and atmosphere)
    • AC9S9U05apply the law of conservation of energy to analyse system efficiency in terms of energy inputs, outputs, transfers and transformations
    • AC9S9U06explain how the model of the atom changed following the discovery of electrons, protons and neutrons and describe how natural radioactive decay results in stable atoms
    • AC9S9U07model the rearrangement of atoms in chemical reactions using a range of representations, including word and simple balanced chemical equations, and use these to demonstrate the law of conservation of mass
    Sample question and its hints

    12 g of magnesium burns in oxygen to make 20 g of magnesium oxide. What mass of oxygen reacted, in grams?

    1. Mass is conserved: the total mass of the reactants equals the total mass of the products.
    2. Magnesium + oxygen → magnesium oxide. Which mass is missing from that sum?
    3. If 5 g of iron and some sulfur make 11 g of iron sulfide, the sulfur was 11 − 5 = 6 g. Now try yours.
  • Body control, reproduction and the carbon cycle

    Year 9 · 6 questions

    Nerves versus hormones, negative feedback, strawberry runners and carbon on the move.

    For parents: By the end of Year 9, your child should be able to compare how nerves and hormones control the body, describe reproduction in plants and animals, and trace the carbon cycle.

    • AC9S9U01compare the role of body systems in regulating and coordinating the body’s response to a stimulus, and describe the operation of a negative feedback mechanism
    • AC9S9U02describe the form and function of reproductive cells and organs in animals and plants, and analyse how the processes of sexual and asexual reproduction enable survival of the species
    • AC9S9U03represent the carbon cycle and examine how key processes including combustion, photosynthesis and respiration rely on interactions between Earth’s spheres (the geosphere, biosphere, hydrosphere and atmosphere)
    Sample question and its hints

    Which response is controlled mainly by the endocrine system (hormones), rather than by nerve impulses?

    Choices: Pulling your hand away from a hot pan · Blood glucose falling back to normal over the hour after a meal · Blinking when a ball flies at your face

    1. Nerve impulses are fast and short-lived. Hormones travel in the blood and act more slowly, for longer.
    2. Look for the response that happens over minutes to hours, not in a split second.
    3. Growth during the teenage years is controlled by hormones, because it is slow and long-lasting. Now try yours.
  • Waves, the atom and radioactivity

    Year 9 · 6 questions

    Silent space, the wave equation, the electromagnetic spectrum, half-life and Rutherford’s gold foil.

    For parents: By the end of Year 9, your child should be able to describe how waves carry energy, the structure of the atom, and radioactive decay.

    • AC9S9U04use wave and particle models to describe energy transfer through different mediums and examine the usefulness of each model for explaining phenomena
    • AC9S9U06explain how the model of the atom changed following the discovery of electrons, protons and neutrons and describe how natural radioactive decay results in stable atoms
    Sample question and its hints

    Astronauts on a spacewalk need radios to talk, even when they are close together. Why can’t sound travel through the vacuum of space?

    Choices: It is too cold in space for sound · Sound is blocked by sunlight · There are no particles to pass the vibrations along

    1. Sound is a vibration passed from one particle to the next.
    2. What is a vacuum missing?
    3. A Mexican wave in a stadium needs people to pass it along: no people, no wave. 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.
  • Forces and motion

    For Years 7–9 · 6 questions

    Balanced and unbalanced forces, friction, gravity and speed.

    For parents: Across Years 7 to 9, your child learns to explain balanced and unbalanced forces, including friction and gravity, and how they change motion.

    • AC9S7U04investigate and represent balanced and unbalanced forces, including gravitational force, acting on objects, and relate changes in an object’s motion to its mass and the magnitude and direction of forces acting on it
    Sample question and its hints

    A book rests on a table without moving. Which statement about the forces on it is true?

    Choices: There are no forces on it · The forces on it are balanced · The pull down is bigger than the push up · Only the table pushes on it

    1. Something that isn’t moving can still have forces acting on it.
    2. Draw the book with arrows: one for the pull down, one for the table pushing up. Compare their sizes.
    3. In a tug of war where the rope doesn’t move, both teams pull equally hard. Now try yours.

Humanities and Social Sciences (HASS) 1 set

  • Money decisions and the Industrial Revolution

    Year 9 · 6 questions

    Interest, risk, the circular flow of the economy, and how steam power changed lives.

    For parents: By the end of Year 9, your child should be able to explain how people and businesses manage money, risk and reward, and how the Industrial Revolution changed lives.

    • AC9HE9K01the role of Australia’s financial sector and its effect on economic decision-making by individuals, businesses and global markets
    • AC9HE9K02how economic decision-making involves the interdependence of consumers, businesses, the financial sector and government
    • AC9HE9K05how individuals and businesses manage consumer and financial risks and rewards
    • AC9HH9K13the social, economic, political, technological and/or environmental causes and effects of the Industrial Revolution on Europe in the late 18th and 19th century
    • AC9HH9K16the different perspectives and experiences of men, women and children during the Industrial Revolution, and their changing way of life
    Sample question and its hints

    You put $500 in a savings account that pays 4% simple interest per year. How much interest do you earn in one year, in dollars?

    1. Interest is the extra money the bank pays you for saving. Find 4% of the amount saved.
    2. To find a percentage, multiply the amount by the percentage and divide by 100.
    3. 3% interest on $800 is 800 × 3 ÷ 100 = $24. 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 9 students learn in maths in Australia?

Under the Australian Curriculum v9.0, Year 9 maths covers number, algebra, measurement, space, statistics and probability. Ponder’s Year 9 maths sets practise pythagoras and trigonometry, binomials, index laws and simple interest, scientific notation and comparing data, compound probability and surface area and algebra basics. 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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