Number
Working with real numbers
Distinguish rational and irrational values and calculate with exact values or sensible approximations.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Victorian Curriculum F–10 Version 2.0
Year 9 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
- 24 shown
- Choose your level
- Easy · Medium · Hard
- Learn as you go
- Worked steps
Explore the topics
Choose a topic
Algebra
Exponent laws with integers and variables
Use products, quotients, powers, zero exponents and negative exponents with their restrictions.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Expand and factorise expressions
Use the distributive law, collect like terms and reverse an expansion to factorise monic quadratics.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Linear equations and two-point graphs
Solve linear equations and connect equivalent equation forms with points on a straight line.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Gradient, midpoint and distance
Use coordinate differences and averages to measure a segment in the Cartesian plane.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Quadratic graphs and solutions
Find points on parabolas and solve integer-root quadratic equations using factorisation.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Model changing quantities
Use linear and quadratic models, including simple interest, and evaluate the assumptions behind them.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Explore graph parameters
Compare shifts and stretches by changing parameters and testing points.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Volume and surface area of solids
Measure right prisms, cylinders and composite solids using appropriate square and cubic units.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Scientific notation and timescales
Read very large and small measures and compare intervals in matching units.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Choose a spatial method
Combine angle facts, similarity, scale, Pythagoras and right-triangle trigonometry.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Understand measurement error
Calculate absolute, relative and percentage error and explain what each measure tells you.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Rates, ratios and scale models
Build proportional models, interpret units and check whether a constant rate is reasonable.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Why trigonometric ratios stay constant
Use similar right triangles to explain why sine, cosine and tangent depend on the angle, not the triangle size.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Enlargements and similarity
Locate enlarged points and distinguish unchanged angles from scaled lengths, areas and volumes.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Design and test geometric algorithms
Follow geometric decision rules, then build and refine constructions with meaningful tests.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Read a survey report critically
Identify numerical and categorical variables, inspect collection methods and estimate population summaries from samples.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Sampling choices and visual messages
Explain how samples and chart design can change the impression created by a survey.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Compare data distributions
Use centre, spread, shape and outliers to compare numerical datasets and their displays.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Choose and read data displays
Match a display to a variable type and interpret the data in its context.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Plan a statistical investigation
Pose a question, collect appropriate data, analyse it and report conclusions with their limitations.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Probability
Two-step chance experiments
List ordered outcomes and calculate probabilities with or without replacement.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Probability
And, inclusive or and exclusive or
Estimate event probabilities from observed two-way counts without double-counting overlap.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Probability
Use simulations to estimate chance
Design repeatable chance simulations and interpret variation in their estimates.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100