Number
When early rounding changes a result
Compare exact representations with repeated calculations using rounded values.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Victorian Curriculum F–10 Version 2.0
Year 10 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
- 30 shown
- Choose your level
- Easy · Medium · Hard
- Learn as you go
- Worked steps
Explore the topics
Choose a topic
Algebra
Take out a common algebraic factor
Find shared numerical and variable factors and check factorisation by expansion.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Products and quotients of powers
Apply exponent laws to algebraic products and quotients without losing restrictions.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Calculate with algebraic fractions
Add, subtract, multiply and divide simple algebraic fractions with valid denominator restrictions.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Strategies for expansion and factorisation
Use distributive, area and pattern methods to expand products and factorise monic quadratics.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Substitute and rearrange formulas
Find an unknown value and make a chosen variable the subject of a formula.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Algorithms with lists and records
Trace list-based algorithms and implement a tested program using a data structure.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Solve linear problems
Translate contexts and rearranged formulas into solvable linear equations.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Linear inequalities and number lines
Solve inequalities, interpret boundary inclusion and graph the solution set.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Simultaneous linear equations
Find a pair satisfying two equations and connect it with a graph intersection.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Parallel and perpendicular gradients
Use equal gradients or negative reciprocals and recognise horizontal–vertical exceptions.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Connect relation rules and graphs
Explore quadratic, reciprocal, circle and exponential relations using values, features and graphs.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Linear equations with fractions
Clear denominators or combine equivalent fractions before solving.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Choose a quadratic solution strategy
Use factorisation, square roots and the null factor law while checking all solutions.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Solve simple exponential equations
Rewrite values using a common base and solve the resulting exponent equation.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Model compound change and inverse relationships
Build growth, decay and inverse-proportion models and evaluate their assumptions and predictions.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Find and check all numerical solutions
Use graphing and systematic refinement while checking the search interval and number of roots.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Measure composite solids
Decompose solids for volume and identify only exposed faces for surface area.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Read logarithmic scales
Interpret powers and multiplicative changes on logarithmic axes and defined indices.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Directions, elevation and depression
Apply right-triangle methods to practical routes and measured viewing angles.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Evaluate proportional and scale models
Use direct and inverse proportion, dimensional scaling and measurement-error checks in practical models.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Reason with geometric theorems
Use a chain of stated reasons to solve spatial problems and develop proofs.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Networks and connectedness
Interpret nodes and edges as relationships and identify direct connections and components.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Quartiles and comparative distributions
Use quartiles, IQR and displays to discuss centre, spread, shape and outliers of continuous data.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Scatterplots and lines of good fit
Describe the strength, direction and shape of a numerical relationship and use a fitted line carefully.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Relationships in two-way tables
Construct categorical tables and compare conditional proportions using the correct totals.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Evaluate statistical claims ethically
Link a report’s claims to its data, displays, sample and privacy practices.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Investigate relationships and change over time
Plan a bivariate investigation, analyse its pattern and report what can reasonably be inferred.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Probability
Understand conditional probability
Interpret “given” as a changed sample space and use simulations to estimate conditional events.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Probability
Multi-step experiments and independence
Describe complete two- and three-step sample spaces and calculate events with changing or unchanged probabilities.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100