Number
Squares and their positive roots
Connect equal-sided arrays and square-root problems.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Victorian Curriculum F–10 Version 2.0
Year 7 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
- 31 shown
- Choose your level
- Easy · Medium · Hard
- Learn as you go
- Worked steps
Explore the topics
Choose a topic
Number
Represent numbers with powers
Use place-value powers and prime-power products.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Rational numbers in different forms
Connect equivalent fractions, mixed numbers, decimals and signed positions.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Round to useful accuracy
Choose a suitable decimal accuracy and use estimates to check computations.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Multiply and divide rational amounts
Use efficient fraction and decimal methods, then check digitally when useful.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Use all four rational-number operations
Choose operations that match positive fractional and decimal quantities.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Percentages of and between quantities
Find a percentage amount or express a part as a percentage of its whole.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Order and calculate with integers
Use signed numbers to compare positions and describe change.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Ratios that compare quantities
Represent, simplify and use ratios without confusing a part with the whole.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Number
Compare best buys and justify a plan
Model a financial decision using rates, percentages and stated assumptions.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Use variables in everyday formulas
Translate quantities into symbols and substitute known values.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Use algebraic structure
Apply number laws and write expressions with clear grouping.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Solve and verify linear equations
Undo operations systematically and check natural-number solutions.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Tell the story of a data graph
Investigate how one measured quantity changes with another.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
From a growing picture to a graph
Generate tables, find a rule and plot input-output pairs.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Algebra
Vary quantities in a formula
Use digital tables to investigate one variable at a time.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Derive area formulas
Relate rectangles, triangles and parallelograms through cutting and rearranging.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Volume from a constant cross-section
Calculate rectangular and triangular right-prism volumes.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Connect radius, diameter and circumference
Investigate the constant circle ratio represented by π.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Angles across parallel lines
Use corresponding, alternate and co-interior relationships with reasons.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Use polygon angle sums
Explain the triangle total and extend it to other plane polygons.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Measurement
Model scale in lengths, areas and volumes
Connect a length ratio to the dimension of the measurement being compared.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Show a solid on a flat page
Compare nets, plans, elevations and perspective representations.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Classify shapes by properties
Use side and angle tests and explain inclusive relationships.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Transform points on a Cartesian plane
Record translations, axis reflections and rotations about the origin.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Space
Design a shape-sorting algorithm
Use ordered decisions and explain why the classification is consistent.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Choose useful summaries of a data set
Calculate centre and spread and consider what each measure communicates.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Create and compare numerical displays
Use dot plots and stem-and-leaf plots to discuss shape, centre, spread and extremes.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Statistics
Investigate a numerical question
Use primary or secondary data to analyse a distribution and report a defensible finding.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Probability
From a sample space to a prediction
List a complete single-stage sample space, assign probabilities and predict frequencies.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100
Probability
Compare predictions with many trials
Run large digital simulations and explain differences using sample size.
- Easy
- 30
- Medium
- 30
- Hard
- 40
- Total
- 100