Number
Rational and irrational numbers
Tell exact fractions, square roots and π apart, and recognise irrational lengths.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Victorian Curriculum F–10 Version 2.0
Year 8 Maths quizzes
Build your skills one question at a time. Choose a topic, try a question and use the worked steps to understand your answer.
- Maths topics
- 29 shown
- Choose your level
- Easy · Medium · Hard
- Learn as you go
- Worked steps
Explore the topics
Choose a topic
Number
Exponent laws
Use equal bases to multiply, divide and raise powers, including exponent zero.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Fractions and recurring decimals
Convert fractions into terminating or repeating decimals and convert back.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Calculate with integers and rational numbers
Choose sensible exact calculations and estimates with signed numbers, fractions and decimals.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Percentage change and percentage error
Find increases, decreases and measurement errors using the correct starting value.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Model profit and loss
Turn a practical money problem into calculations, then check its assumptions and meaning.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Build and simplify linear expressions
Use like terms, brackets and inverse operations to reorganise expressions without changing their value.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Linear equations, inequalities and graphs
Find solutions, check them by substitution and connect them to the Cartesian plane.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Linear models for everyday costs
Choose a rule, table or graph for a practical situation and explain what its solution means.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Trace, test and repair algorithms
Follow instructions exactly, select useful tests and correct the cause of an error.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Explore families of straight lines
Use tables and graphs to investigate what gradient and intercept change.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Area and perimeter of composite shapes
Split unfamiliar shapes into known pieces and trace their complete boundaries.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Volume and capacity of right prisms
Use equal cross-sections to find volume and convert between cubic and capacity units.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Circumference and area of circles
Choose the right circle formula and distinguish radius, diameter and units.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Duration and time zones
Read 12- and 24-hour time, work across midnight and use stated time-zone offsets.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Rates and unit comparisons
Compare quantities with different units by finding the amount per one unit.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Pythagoras’ theorem
Find unknown right-triangle side lengths and check which side is the hypotenuse.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Models with ratios, rates and travel
Choose a ratio or rate model, check the units and explain when its assumptions hold.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Congruent and similar shapes
Use sufficient conditions to identify equal shapes, scaled shapes and rigid transformations.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Reason about quadrilaterals
Use triangle congruence and angle properties to explain quadrilateral facts.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Locate objects in three dimensions
Read three coordinates, describe positions in words and track changes along each axis.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Algorithms for matching shapes
Build and test clear decisions for congruence and similarity.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Populations, samples and data collection
Define the group of interest and compare census, sampling, observation and experiment.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Analyse data and its source
Describe sample distributions and interpret how primary, secondary, random and non-random data were obtained.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Why samples vary
Compare sample proportions and investigate how sample size affects variation.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Plan a fair statistical investigation
Ask a clear question, select a suitable sample and report evidence with uncertainty.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Probability
Complementary events
Use “not” to find the outcomes outside an event and subtract its probability from one.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Probability
Two-event outcomes and probability
Organise outcomes with tables, trees and Venn diagrams, then count the required event.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Probability
Simulate compound events
Use repeated trials to estimate probabilities and explain differences from a theoretical model.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100