Year 7-9 Maths Practice

Home

Use this page for Year 7-9 Maths learning and practice questions, topic-based learning, revision, and regular practice at home. Skill Align practice includes student-readable questions, explanations, exercise mode, and test mode so parents can preview the subject before subscribing.

Try practice questions:

Year 7 Maths practice questions Year 8 Maths practice questions Year 9 Maths practice questions

This page shows the current Skill Align maths curriculum practice coverage for Years 7 to 9. The maths structure follows ACARA-V9 and uses the ACARA-v9 strand language for Number, Algebra, Measurement, Space, Statistics, and Probability.

The page uses parent-friendly strand labels while preserving the topic structure used across Skill Align practice. A separate Year 10 maths page shows the AC-coded curriculum-reference coverage.

Curriculum attribution

Skill Align independently prepares practice pathways aligned to publicly available curriculum and syllabus information.
Skill Align is not affiliated with, endorsed by, or sponsored by ACARA, VCAA, NESA, QCAA, SCSA, SACE, or any state curriculum authority.
Official curriculum, syllabus, study design, and assessment requirements should always be checked on the relevant authority website.
Where Australian Curriculum or QCAA material is referenced or adapted, attribution is provided under the relevant Creative Commons Attribution 4.0 licence.
Skill Align modifies and reorganises referenced material for practice and study-planning purposes.

Maths Topics and Subtopics

Years 7, 8, and 9

Topic	Year 7	Year 8	Year 9
Algebra	1. Linear Relationships Intro text graph • Use tables, simple coordinate patterns, or contextual relationships with one clear rule 2. One-step Equations (AC9M7A03) • Use straightforward one-step solving questions 3. Substitution (AC9M7A01) • Substitute one variable value into one simple expression	1. Coordinate Plane Intro text diagram • Plot and identify points in four quadrants 2. Expand and Factorise Linear Expressions (AC9M8A01) • Use distributive expansion and simple common-factor factorisation only 3. Linear Inequalities (AC9M8A02) • Use one-variable linear inequalities and simple number-line interpretation 4. Linear Relations text graph • Use tables, graphs, and rules for simple linear relationships in Year 8 contexts 5. Solving Linear Equations (AC9M8A02) • Use one-variable linear equations	1. Direct Proportion (AC9M9M05) text graph • Use proportional relationships, scale reasoning, and simple modelling contexts 2. Financial Modelling (AC9M9A05) • Use change, growth, or finance contexts that can be modelled with Year 9 algebra 3. Functions and Parameters (AC9M9A06) text graph • Use simple variation of graph parameters and links between algebraic and graphical forms 4. Gradient (AC9M9A03) text graph • Use rise-over-run, graph interpretation, and gradient from two points 5. Linear Equations • Use one-variable linear equations with increasing complexity 6. Linear Graphs text graph • Use graph interpretation and line identification 7. Quadratic Expressions and Equations (AC9M9A02) • Use expanding, factorising, and solving simple quadratics in Year 9 scope 8. Quadratic Graphs and Models (AC9M9A04) text graph • Use sketching, interpreting, and matching simple quadratic graphs and contexts in Year 9
Space	1. Angle Types text diagram • Use acute, obtuse, right, straight angles 2. Complementary and Supplementary Angles text diagram • Use angle pairs summing to 90 or 180 degrees• Prefer simple angle diagrams 3. Parallel Lines and Angles (AC9M7M04) text diagram • Use alternate, corresponding, co-interior angle relationships 4. Quadrilateral Properties (AC9M7SP02) text diagram • Use squares, rectangles, parallelograms, rhombuses, and trapeziums 5. Symmetry text diagram • Use line symmetry and rotational symmetry in simple shapes 6. Transformations Intro (AC9M7SP03) text diagram • Use translations, reflections, or simple rotations on the Cartesian plane in introductory Year 7 form 7. Triangle Angle Sum (AC9M7M05) text diagram • Use one missing angle in a triangle• Prefer simple triangle diagrams 8. Vertically Opposite Angles text diagram • Use intersecting lines and equal vertically opposite angles 9. Views of 3D Objects (AC9M7SP01) text diagram • Use front, side, or plan views of simple three-dimensional objects	1. Angles Around a Point text diagram • Use total 360 degree reasoning 2. Angles on a Line text diagram • Use supplementary angles summing to 180 degrees 3. Congruence Intro (AC9M8SP01) text diagram • Use simple matching shapes and equal corresponding sides or angles 4. Parallel Lines with Transversal text diagram • Use angle relationships with one transversal 5. Transformations: Reflection text diagram • Use coordinate-plane diagrams reflected in x-axis, y-axis, or a simple line 6. Transformations: Rotation text diagram • Use coordinate-plane diagrams with quarter and half turns 7. Transformations: Translation text diagram • Use coordinate-plane diagrams with translated points or shapes 8. Triangle Properties text diagram • Use isosceles, equilateral, scalene, and angle properties	1. Angles in Polygons text diagram • Use interior angle sum and regular polygon questions 2. Congruence text diagram • Use diagram-based triangle congruence criteria such as SSS, SAS, ASA, AAS, or RHS• Prefer reasoning about matching corresponding parts after congruence is established• Do not use single-triangle angle-chasing or isosceles-only algebra for this subtopic 3. Coordinate Geometry: Distance (AC9M9A03) text diagram • Use coordinate-plane diagrams with two points and distance reasoning 4. Coordinate Geometry: Midpoint (AC9M9A03) text diagram • Use coordinate-plane diagrams with line segments and midpoint reasoning 5. Enlargement (AC9M9SP02) text diagram • Use scale factors and enlargement on coordinate grids or simple shapes 6. Geometric Constructions (AC9M9SP03) text diagram • Use angle bisectors, perpendicular bisectors, and simple construction reasoning at school level 7. Pythagoras' Theorem (AC9M9M03) text diagram • Use right triangles with integer side lengths where possible 8. Right Triangle Geometry (AC9M9M03) text diagram • Use right-triangle diagrams beyond basic Pythagoras recall and without collapsing into trivial recall 9. Similar Triangles text diagram • Use scale factors and corresponding side relationships 10. Trigonometric Ratios (AC9M9M03) text diagram • Use sine, cosine, and tangent in right-triangle contexts with clearly labelled sides or angles
Measurement	1. Area of Triangles (AC9M7M01) text diagram • Use base and height clearly 2. Perimeter • Use rectangles and simple polygons	1. Circles (AC9M8M03) • Use circumference and area of circles with radius or diameter stated clearly 2. Perimeter and Area (AC9M8M01) • Use perimeter and area of rectangles, simple composite shapes, and triangles• Keep dimensions explicit in the stem or diagram 3. Volume (AC9M8M02) text diagram • Use rectangular prisms and simple volume reasoning with clearly stated dimensions	1. Perimeter, Area and Volume text diagram • Use perimeter, area, and volume reasoning with all required dimensions stated clearly 2. Surface Area and Volume (AC9M9M01) text diagram • Use prisms and other school-level solids with clear dimensions and one exact answer
Number	1. Decimals • Use decimal place value, ordering, and simple operations connected to Year 7 number work 2. Financial Decisions (AC9M7N09) • Use discounts, budgets, and best-buy decisions appropriate to Year 7 contexts 3. Fractions (AC9M7N06) • Use equivalent fractions and basic operations 4. Integers (AC9M7N07) • Use positive and negative whole numbers• Keep calculations appropriate for Year 7 5. Percentages (AC9M7N09) • Use percentages of quantities and simple everyday percentage contexts• Keep calculation pathways Year 7 appropriate 6. Perfect Squares and Square Roots (AC9M7N01) • Use perfect squares, square roots, and simple numeric reasoning without surds 7. Prime Factors and Index Notation (AC9M7N02) • Use prime factorisation, factor trees, and simple index notation without advanced laws 8. Rates (AC9M7M06) • Use simple unit-rate contexts such as cost, speed, or quantity per item 9. Ratios (AC9M7N08) • Use ratio comparison, simplification, and sharing contexts suitable for Year 7	1. Financial Maths Intro (AC9M8N05) • Use budgeting, discounts, profit, loss, or best-buy contexts suitable for Year 8 2. Index Laws (AC9M8N02) • Use positive integral indices and the zero index in straightforward symbolic contexts 3. Integer and Rational Operations (AC9M8N04) • Use calculations with integers and rational numbers in Year 8 contexts 4. Irrational Numbers (AC9M8N01) • Use square roots, irrational numbers on number lines, and comparison of decimal approximations 5. Percentage Increase and Decrease (AC9M8N05) • Use straightforward increase and decrease questions without compound-interest drift 6. Rates (AC9M8M05) • Use speed, cost, and unit rate contexts 7. Ratios (AC9M8M07) • Use ratio simplification and sharing contexts	1. Laws of Indices (AC9M9A01) • Use basic exponent rules suitable for Year 9 2. Percentage Error (AC9M9M04) • Use measured and exact values with clear percentage error calculations 3. Real Numbers (AC9M9N01) • Use reasoning with rational and irrational numbers in Year 9 problem contexts 4. Scientific Notation (AC9M9M02) • Use conversions between standard and scientific form
Probability	1. Basic Probability (AC9M7P01) • Use simple single-event probability questions 2. Relative Frequency Intro (AC9M7P02) • Use simple experiments and compare observed frequency to expected chance 3. Sample Spaces (AC9M7P01) • Use listing outcomes for coins, dice, spinners, and simple combined experiments	1. Basic Probability (AC9M8P01) • Use simple theoretical probability and complementary events 2. Compound Events (AC9M8P02) • Use two-step events, outcome tables, or simple tree-style reasoning in Year 8 probability 3. Experimental Probability (AC9M8P03) • Use repeated trials, relative frequency, and comparison of theoretical and experimental probability	1. Compound Events (AC9M9P01) • Use two-step events, tables, tree-diagram style reasoning, and simple dependent or independent cases 2. Experimental Probability (AC9M9P03) • Use relative frequency, repeated trials, and comparisons between observed and expected probability 3. Probability Rules (AC9M9P02) • Use complements, simple combined events, and school-level probability calculations
Statistics	1. Bar Charts text graph • Return structured bar-chart diagram data when diagram requested 2. Data Collection and Display text graph • Use simple data displays, survey results, and reading values from tables or graphs 3. Mean (AC9M7ST01) • Use small datasets with integer answers where possible 4. Summary Statistics • Use small data sets and basic centre or spread measures suitable for Year 7	1. Bivariate Data text graph • Use scatter plots or paired data and ask for pattern, association, or interpretation 2. Data Representation text graph • Use tables, bar charts, or simple displays and ask students to interpret the data 3. Summary Statistics (AC9M8ST02) • Use mean, median, mode, and range with small data sets and clear one-best-answer calculations	1. Data Representation (AC9M9ST04) text graph • Use tables, graphs, and displays that require students to read and compare values 2. Interpreting Statistics (AC9M9ST03) text graph • Use statements about data sets, spread, centre, trend, or comparison and ask which is best supported 3. Sampling and Bias (AC9M9ST02) • Use sample design, representativeness, and identification of biased conclusions 4. Statistical Investigations (AC9M9ST05) text graph • Use planning, interpreting, and evaluating data investigations with one defensible conclusion