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Australian Curriculum v9.0 · Year 7

Year 7 practice, mapped to the Australian Curriculum.

What Ponder’s built-in practice covers in Year 7, set by set, with the content descriptions each set is tagged with.

What does Year 7 practice cover in Ponder?

In Year 7, Ponder has 20 practice sets: 7 in maths (formulas and linear equations; area, volume and triangle angles; square roots, prime factors and ratios; and more), 5 in English (how information texts are structured; colons, brackets, clauses and tense; character through dialogue and action; and more) and 4 in science (mixtures, classification and eclipses; food webs, tides and separating mixtures; variables, data and fair conclusions; 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 7 maths or English, and what to practise next →

Mathematics 7 sets

  • Formulas and linear equations

    Year 7 · 6 questions

    Substitute into formulas, write expressions and solve two-step equations.

    For parents: By the end of Year 7, your child should be able to substitute numbers into formulas, write algebraic expressions, and solve simple equations and check the answer.

    • AC9M7A01recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown
    • AC9M7A02formulate algebraic expressions using constants, variables, operations and brackets
    • AC9M7A03solve one-variable linear equations with natural number solutions; verify the solution by substitution
    Sample question and its hints

    The perimeter of a rectangle is P = 2(l + w). Find P when l = 9 cm and w = 4 cm.

    1. Swap the letters for the numbers: l is 9 and w is 4. Then follow the formula.
    2. Work out the brackets first, then multiply the result by 2.
    3. If l = 5 and w = 3, P = 2(5 + 3) = 2 × 8 = 16 cm. Now try yours.
  • Area, volume and triangle angles

    Year 7 · 6 questions

    Sails, fish tanks and cheese wedges: area, volume and the 180° rule.

    For parents: By the end of Year 7, your child should be able to find the area of triangles and parallelograms, the volume of prisms, and use the fact that a triangle’s angles add to 180°.

    • AC9M7M01solve problems involving the area of triangles and parallelograms using established formulas and appropriate units
    • AC9M7M02solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units
    • AC9M7M05demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles
    Sample question and its hints

    A triangular sail has a base of 10 m and a perpendicular height of 7 m. What is its area?

    1. The area of a triangle uses its base and its perpendicular height.
    2. Use A = ½ × base × height: multiply the base by the height, then halve it.
    3. Base 8 m, height 5 m: ½ × 8 × 5 = 20 m². Now try yours.
  • Square roots, prime factors and ratios

    Year 7 · 6 questions

    Estimate square roots, break numbers into primes and share things fairly by ratio.

    For parents: By the end of Year 7, your child should be able to work with square roots and prime factors, find equivalent fractions and decimals, and solve ratio problems.

    • AC9M7N01describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems
    • AC9M7N02represent natural numbers as products of powers of prime numbers using exponent notation
    • AC9M7N04find equivalent representations of rational numbers and represent rational numbers on a number line
    • AC9M7N08recognise, represent and solve problems involving ratios
    Sample question and its hints

    Without a calculator, estimate √50 to the nearest whole number.

    1. √50 is the number that, multiplied by itself, gives 50.
    2. Which two square numbers is 50 between? Which one is it closer to?
    3. √30: 30 is between 25 and 36, and closer to 25, so √30 is about 5. Now try yours.
  • Mean, median, range and chance

    Year 7 · 6 questions

    Netball scores, Darwin temperatures and spinners: summarise data and predict chance.

    For parents: By the end of Year 7, your child should be able to find the mean, median, mode and range of data, and work out simple probabilities.

    • AC9M7ST01acquire data sets for discrete and continuous numerical variables and calculate the range, median, mean and mode; make and justify decisions about which measures of central tendency provide useful insights into the nature of the distribution of data
    • AC9M7ST02create different types of numerical data displays including stem-and-leaf plots using software where appropriate; describe and compare the distribution of data, commenting on the shape, centre and spread including outliers and determining the range, median, mean and mode
    • AC9M7P01identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events
    • AC9M7P02conduct repeated chance experiments and run simulations with a large number of trials using digital tools; compare predictions about outcomes with observed results, explaining the differences
    Sample question and its hints

    A netball team’s scores in six games were 14, 9, 21, 17, 9 and 20. What is the mean score?

    1. The mean is the total shared equally across all the games.
    2. Add the six scores, then divide by 6.
    3. The mean of 4, 7 and 10 is (4 + 7 + 10) ÷ 3 = 21 ÷ 3 = 7. Now try yours.
  • Integers and negative numbers

    For Years 6–8 · 6 questions

    Temperatures below zero, number lines, and adding, subtracting and multiplying integers.

    For parents: Across Years 6 to 8, your child learns to place negative numbers on a number line, and add, subtract and multiply positive and negative numbers.

    • AC9M6N01recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane
    • AC9M7N07compare, order and solve problems involving addition and subtraction of integers
    • AC9M8N04use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate
    Sample question and its hints

    Which number is the smallest?

    Choices: −2 · 0 · −8 · 3

    1. Smallest means furthest to the left on a number line.
    2. Draw a number line from −10 to 5 and mark each number. Which one is furthest left?
    3. Between −5 and −1, −5 is smaller because it is further below zero. 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

  • How information texts are structured

    Year 7 · 6 questions

    Trace chronology and cause and effect through a report on cane toads.

    For parents: By the end of Year 7, your child should be able to trace how an information text is organised, such as by time order or cause and effect.

    • AC9E7LY04explain the structure of ideas such as the use of taxonomies, cause and effect, extended metaphors and chronology
    • AC9E7LA04understand that the cohesion of texts relies on devices that signal structure and guide readers, such as overviews and initial and concluding paragraphs
    Sample question and its hints

    What job does the first paragraph do?

    Choices: It tells the story of one particular toad · It previews what the report will cover · It argues that cane toads should be protected

    1. Opening paragraphs often guide the reader through what comes next.
    2. Read the second sentence of paragraph 1. What three things does it list?
    3. A book’s blurb that says “this guide covers tents, cooking and first aid” is setting up the chapters. Now try yours.
  • Colons, brackets, clauses and tense

    Year 7 · 6 questions

    Use colons and brackets with purpose, build compound-complex sentences and keep tense steady.

    For parents: By the end of Year 7, your child should be able to use colons and brackets with purpose, write compound-complex sentences, and keep tense consistent.

    • AC9E7LA09understand the use of punctuation including colons and brackets to support meaning
    • AC9E7LA05understand how complex and compound-complex sentences can be used to elaborate, extend and explain ideas
    • AC9E7LA06understand how consistency of tense through verbs and verb groups achieves clarity in sentences
    Sample question and its hints

    Which sentence uses a colon correctly?

    Choices: Pack three things for camp: a torch, a hat and a water bottle. · Pack: a torch, a hat and a water bottle. · Pack three things for camp, a torch: a hat and a water bottle.

    1. A colon often introduces a list, and it follows a clause that already makes sense on its own.
    2. Cover the list. Does the part before the colon still sound complete?
    3. “We need two colours: red and blue.” The part before the mark is complete. Now try yours.
  • Character through dialogue and action

    Year 7 · 6 questions

    A fifty-dollar note at the footy: see how dialogue and action reveal who a character really is.

    For parents: By the end of Year 7, your child should be able to explain how dialogue and action reveal a character, and form an opinion about a story and back it up.

    • AC9E7LE03explain the ways that literary devices and language features such as dialogue, and images are used to create character, and to influence emotions and opinions in different types of texts
    • AC9E7LE05identify and explain the ways that characters, settings and events combine to create meaning in narratives
    • AC9E7LE02form an opinion about characters, settings and events in texts, identifying areas of agreement and difference with others’ opinions and justifying a response
    Sample question and its hints

    What does Jayden’s dialogue reveal about him?

    Choices: He cares more about getting away with it than about who lost the money · He is worried about the little girl · He wants Kai to hand the money to a teacher

    1. Dialogue shows character: what someone says tells us what they value.
    2. Reread both things Jayden says. What is he worried about?
    3. A character who says “Just copy my homework, Miss won’t check” shows they value shortcuts over honesty. 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 4 sets

  • Mixtures, classification and eclipses

    Year 7 · 6 questions

    Separate mixtures, use a key to name an animal, line up an eclipse and follow a food web.

    For parents: By the end of Year 7, your child should be able to separate mixtures, use a key to classify living things, explain eclipses, and read a food web.

    • AC9S7U01investigate the role of classification in ordering and organising the diversity of life on Earth and use and develop classification tools including dichotomous keys
    • AC9S7U02use models, including food webs, to represent matter and energy flow in ecosystems and predict the impact of changing abiotic and biotic factors on populations
    • AC9S7U03model cyclic changes in the relative positions of the Earth, sun and moon and explain how these cycles cause eclipses and influence predictable phenomena on Earth, including seasons and tides
    • AC9S7U06use a particle model to describe differences between pure substances and mixtures and apply understanding of properties of substances to separate mixtures
    Sample question and its hints

    Iron filings have been mixed into dry sand. What is the easiest way to separate them?

    Choices: Pour it through filter paper · Heat it until one part evaporates · Pass a magnet over the mixture · Stir it into water to dissolve the iron

    1. To separate a mixture, use a property that one substance has and the other doesn’t.
    2. List the properties of iron that sand doesn’t share.
    3. Rice and flour can be separated with a sieve, because their grains are different sizes. Now try yours.
  • Food webs, tides and separating mixtures

    Year 7 · 6 questions

    Energy flow in food webs, the moon’s pull on the tides, eclipses and chromatography.

    For parents: By the end of Year 7, your child should be able to trace energy through a food web, explain tides and eclipses, and choose a way to separate a mixture.

    • AC9S7U02use models, including food webs, to represent matter and energy flow in ecosystems and predict the impact of changing abiotic and biotic factors on populations
    • AC9S7U03model cyclic changes in the relative positions of the Earth, sun and moon and explain how these cycles cause eclipses and influence predictable phenomena on Earth, including seasons and tides
    • AC9S7U06use a particle model to describe differences between pure substances and mixtures and apply understanding of properties of substances to separate mixtures
    Sample question and its hints

    In a food web, an arrow points from grass to a wallaby (grass → wallaby). What does the arrow show?

    Choices: The grass eats the wallaby · Energy and matter pass from the grass to the wallaby when it is eaten · The wallaby moves towards the grass

    1. Food web arrows show the same thing for every feeding relationship.
    2. The arrow points from what is eaten to what eats it. What travels along it?
    3. In seaweed → sea urchin, the arrow shows the urchin gets energy from the seaweed it eats. Now try yours.
  • Variables, data and fair conclusions

    Year 7 · 6 questions

    Name the variables, find the mean, spot an anomaly and judge a conclusion.

    For parents: By the end of Year 7, your child should be able to name the variables in an investigation, work with data, spot unusual results, and judge whether a conclusion fits.

    • AC9S7I02plan and conduct reproducible investigations to answer questions and test hypotheses, including identifying variables and assumptions and, as appropriate, recognising and managing risks, considering ethical issues and recognising key considerations regarding heritage sites and artefacts on Country/Place
    • AC9S7I04select and construct appropriate representations, including tables, graphs, models and mathematical relationships, to organise and process data and information
    • AC9S7I05analyse data and information to describe patterns, trends and relationships and identify anomalies
    • AC9S7I06analyse methods, conclusions and claims for assumptions, possible sources of error, conflicting evidence and unanswered questions
    Sample question and its hints

    Lena tests how the height of a ramp affects how far a toy car rolls. What is the independent variable?

    Choices: How far the car rolls · The height of the ramp · The mass of the car

    1. The independent variable is the one you change on purpose.
    2. In “how ___ affects ___”, the first gap is usually the variable you change.
    3. In “how the amount of fertiliser affects plant height”, the amount of fertiliser is changed. 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

  • Deep time, the ancient world and water

    Year 7 · 6 questions

    The world’s oldest continuing cultures, how we study the past, ancient Egypt and water on Earth.

    For parents: By the end of Year 7, your child should be able to explain how historians study the past, describe the world’s oldest continuing cultures and an ancient society, and how water connects places.

    • AC9HH7K03how First Nations Australians are the world’s oldest continuing cultures, displaying evidence of both continuity and change over deep time
    • AC9HH7K08the different methods and sources of evidence used by historians and archaeologists to investigate early societies, and the importance of archaeology and conserving the remains, material culture and heritage of the past
    • AC9HH7K09how the physical environment and geographical features influenced the development of the ancient society
    • AC9HG7K01classification of environmental resources and the way that water connects and changes places as it moves through environments
    • AC9HG7K02the location and distribution of water resources in Australia, their implications, and strategies to manage the sustainability of water
    Sample question and its hints

    First Nations Australians are often described as having …

    Choices: The oldest continuing cultures in the world · Cultures that began about 1,000 years ago · Cultures that ended in 1788

    1. Think about two ideas: how long, and whether it has stopped.
    2. Archaeological sites show people living in Australia for at least 50,000 years, and those cultures are still practised.
    3. A language still spoken today after many centuries is called a living language. 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 2 sets

  • Researching with good sources

    For Years 5–8 · 6 questions

    Pick trustworthy sources, search smartly and put ideas in your own words.

    For parents: Across Years 5 to 8, your child learns to choose trustworthy sources, search well, and put ideas into their own words.

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

    Sample question and its hints

    You are researching platypuses. Which source is most likely to be trustworthy?

    Choices: A comment on a video from someone with no name · A museum website page written by scientists · An ad for a platypus soft toy · A quiz game with no author or date

    1. Ask: who made this, and do they know about the topic?
    2. Look for a source with experts who check their facts, and a reason to be accurate.
    3. For facts about volcanoes, a geology department’s website is more trustworthy than a random forum post. Now try yours.
  • Planning and focus

    For Years 5–8 · 6 questions

    Break big tasks into steps, plan your time and keep distractions away.

    For parents: Across Years 5 to 8, your child learns to break a big task into steps, plan their time, and keep distractions away.

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

    Sample question and its hints

    You have a project due in two weeks. What’s the best first step?

    Choices: Wait until the night before · Break it into smaller tasks and put them on a plan · Start by decorating the cover · Wait for the teacher to remind you

    1. Big tasks feel easier when you know what the pieces are.
    2. List what the project needs. Then think about how many days you have for each part.
    3. To tidy a messy room, you might do the bed, then the floor, then the desk: one small job at a time. 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 7 students learn in maths in Australia?

Under the Australian Curriculum v9.0, Year 7 maths covers number, algebra, measurement, space, statistics and probability. Ponder’s Year 7 maths sets practise formulas and linear equations, area, volume and triangle angles, square roots, prime factors and ratios, mean, median, range and chance and integers and negative numbers. 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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