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Year 8 Maths practice questions

6 free sample questions from Lock in’s Year 8 Maths course, with answers you can reveal one at a time: 6 multiple choice and 0 written answers with a model answer and marking criteria.

No card. Full access for 24 hours.

Topics covered

Lock in’s Year 8 Maths course has 5 units with 72 flashcards and 43 practice questions, plus timed exams built fresh each time.

  • ProbabilityProbability; Complementary events; Venn diagrams; Two-way tables; Probability problems; Observed & expected frequencies
  • EquationsOne-step equations; Two-step equations; Variables on both sides; Equations with brackets; Simple quadratics ax² = c; Equation problems; Equations and formulas; Changing the subject
  • Ratios & RatesRatios; Ratio problems; Scale maps and plans; Dividing in a ratio; Rates; Best buys; Rate problems; Speed; Converting rates; Travel graphs
  • AlgebraVariables and expressions; Substitution; Adding and subtracting terms; Multiplying terms; Dividing terms; Expanding expressions; Factorising expressions; Algebraic fractions
  • Investigating DataColumn, sector and divided bar graphs; Line graphs, pictograms and infographics; Types of data; Census vs sample; The mean and mode; The median and range; Analysing frequency tables; Dot plots and stem-and-leaf plots; Frequency histograms and polygons; Choosing the best graph; The shape of data; Comparing data

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. ProbabilityMultiple choice

    Which probability means an event is certain?

    1. A1
    2. B0
    3. C100
    4. D0.5
    Show answer

    A. 1

    Probabilities run from 0 to 1; 1 means it will definitely happen.

  2. Question 2. EquationsMultiple choice

    What is the first step to solve 4x − 7 = 21?

    1. AAdd 7 to both sides
    2. BSubtract 7
    3. CMultiply by 4
    4. DDivide by 4
    Show answer

    A. Add 7 to both sides

    Undo the − 7 first by adding 7 to both sides.

  3. Question 3. Ratios & RatesMultiple choice

    Which of these is a rate?

    1. A3:5
    2. B60 km/h
    3. C1:1000
    4. D2/3
    Show answer

    B. 60 km/h

    A rate has two different units (km and h).

  4. Question 4. AlgebraMultiple choice

    What is the coefficient of y in 8x − 5y + 2?

    1. A8
    2. B−5
    3. C2
    4. D5
    Show answer

    B. −5

    The number in front of y, including its sign, is −5.

  5. Question 5. Investigating DataMultiple choice

    Which is continuous numerical data?

    1. ANumber of siblings
    2. BFavourite colour
    3. CShoe brand
    4. DTime taken to run 400 m
    Show answer

    D. Time taken to run 400 m

    Time is measured, so it is continuous.

  6. Question 6. ProbabilityMultiple choice

    P(A) = 0.35. What is P(not A)?

    1. A0.65
    2. B0.75
    3. C1.35
    4. D0.35
    Show answer

    A. 0.65

    Complements add to 1: 1 − 0.35 = 0.65.

How to study Year 8 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 8 subjects

Year 8 English practice questions, Year 8 Science practice questions, Year 8 History practice questions, Year 8 Geography practice questions, Year 8 PDHPE practice questions.

Maths in other years

Year 7 Maths practice questions, Year 9 Maths practice questions, Year 10 Maths practice questions.

Questions

What does Year 8 Maths cover in Lock in?
5 units: Probability; Equations; Ratios & Rates; Algebra; Investigating Data. Each topic has short notes, flashcards and practice questions at three levels, plus timed practice exams for the whole subject.
Are these Year 8 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 8 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.