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Year 7 Maths practice questions

6 free sample questions from Lock in’s Year 7 Maths course, with answers you can reveal one at a time: 4 multiple choice and 2 written answers with a model answer and marking criteria.

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Topics covered

Lock in’s Year 7 Maths course has 6 units with 110 flashcards and 110 practice questions, plus timed exams built fresh each time.

  • Integers, primes and powersIntegers; Factors, multiples and primes; Powers and square roots; Order of operations
  • Fractions, decimals, percentages and ratiosFractions; Decimals and rounding; Percentages; Ratios and rates; Money: discounts, GST and best buys
  • Algebra, equations and graphsVariables and expressions; Substitution and formulas; Solving linear equations; The Cartesian plane and linear graphs
  • Area, volume, circles and timeArea; Volume and capacity of prisms; Circles; Units and time
  • Angles, shapes and transformationsAngles and angle relationships; Parallel lines; Triangles; Quadrilaterals and polygons; Transformations on the Cartesian plane
  • Data and probabilityCollecting data; Displaying data; Mean, median, mode and range; Probability and sample spaces; Experiments and relative frequency

Sample questions with answers

Try each question before you open the answer. Written answers show what a full-marks response needs to include.

  1. Question 1. Integers, primes and powersMultiple choice

    Which is the coldest temperature?

    1. A3 °C
    2. B0 °C
    3. C−11 °C
    4. D−2 °C
    Show answer

    C. −11 °C

    −11 is furthest left on the number line.

  2. Question 2. Fractions, decimals, percentages and ratiosMultiple choice

    Which fraction is the largest?

    1. A9/20
    2. B2/5
    3. C3/10
    4. D1/2
    Show answer

    D. 1/2

    As twentieths: 8/20, 6/20, 10/20, 9/20.

  3. Question 3. Fractions, decimals, percentages and ratios: percentages3 marks

    A shirt is marked at $45. Store A takes 20% off. Store B takes $10 off. Which store gives the cheaper price? Show your working.

    Show model answer and marking criteria

    Model answer. Store A: 20% of 45 = 0.2 × 45 = $9, so the price is 45 − 9 = $36. Store B: 45 − 10 = $35. Store B is cheaper by $1.

    A full-marks answer:

    • Store A discount: 20% of 45 = $9, so the price is $36
    • Store B price: 45 − 10 = $35
    • Conclusion: Store B is cheaper (by $1)
  4. Question 4. Algebra, equations and graphsMultiple choice

    Which expression means “the product of 6 and t”?

    1. A6 + t
    2. Bt ÷ 6
    3. Ct − 6
    4. D6t
    Show answer

    D. 6t

    Product means multiply.

  5. Question 5. Algebra, equations and graphs: substitution and formulas3 marks

    The perimeter of a rectangle is 46 cm. Its length is 15 cm. Write an equation and solve it to find the width w.

    Show model answer and marking criteria

    Model answer. Using P = 2l + 2w: 2 × 15 + 2w = 46, so 30 + 2w = 46. Subtract 30: 2w = 16. Divide by 2: w = 8. The width is 8 cm. Check: 2 × 15 + 2 × 8 = 46.

    A full-marks answer:

    • Equation: 2 × 15 + 2w = 46 (or 30 + 2w = 46)
    • Solves: 2w = 16
    • w = 8 cm
  6. Question 6. Area, volume, circles and timeMultiple choice

    Area is measured in…

    1. Acm^3
    2. Bcm^2
    3. CmL
    4. Dcm
    Show answer

    B. cm^2

    Square units.

How to study Year 7 Maths

Write every line of working, not just the answer. Most marks in a Maths exam are for method, so a correct final number with no working can lose marks, and a small slip with clear working usually keeps most of them. When you get one wrong, redo it from a blank page a day later.

In Lock in, every Maths topic has short notes, then flashcards that use spaced repetition: rate each card Again, Hard, Good or Easy and it comes back just before you would forget it. Practice questions come in three levels, Foundation, Standard and Complex. Three right in a row moves you up a level, and two wrong moves you back.

Press Study for me and the app builds a 15 to 20 minute session from the cards that are due, the mistakes that are due and questions on your weakest topics. Anything you get wrong comes back 1, 3 and 7 days later until you get it right. When an exam is close, sit a timed practice exam with AI marking.

More Year 7 subjects

Year 7 English practice questions, Year 7 Science practice questions, Year 7 History practice questions, Year 7 Geography practice questions, Year 7 PDHPE practice questions.

Maths in other years

Year 8 Maths practice questions, Year 9 Maths practice questions, Year 10 Maths practice questions.

Questions

What does Year 7 Maths cover in Lock in?
6 units: Integers, primes and powers; Fractions, decimals, percentages and ratios; Algebra, equations and graphs; Area, volume, circles and time; Angles, shapes and transformations; Data and probability. Each topic has short notes, flashcards and practice questions at three levels, plus timed practice exams for the whole subject.
Are these Year 7 Maths questions free?
Yes. The questions on this page are free with full answers. In the app, every new account gets one free day with everything unlocked. After that, a pass costs A$5 for a week or A$20 for three months, paid once.
Does Lock in mark written answers?
Yes. Short and extended answers are marked by AI against the marking criteria, with a note on what was missing. AI marking can make mistakes, so check its feedback against your notes or ask your teacher.

Practise all of Year 7 Maths.

Every topic above, with adaptive sessions, AI marking and timed exams. Your first 24 hours are free, with full access and no card. After that, a week is A$5.

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