Free Year 8 Worksheets (printable PDF)
Some coverageA starter set of worksheets, with more on the way.
Free printable Year 8 worksheets for the Australian curriculum, across every subject we cover. Year 8 covers index laws, linear algebra, circles, Pythagoras' theorem, rates, congruence and probability. Browse the curriculum content descriptions and generate custom practice. Pick a set below for a ready-made PDF, or generate a fresh one. Every maths answer key is computed in code, so the answers are never wrong, and there is no login needed.
Maths
Algebra
Linear Equations & Expressions (Grade 8)
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Simultaneous Equations & Inequalities (Grade 8)
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Expanding and Simplifying Algebraic Expressions (Year 9)
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Forming and Solving Linear Equations (Year 9)
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Substituting into Formulae and Rearranging (Year 9)
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Solving Simultaneous Equations (Year 9)
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Expanding Double Brackets (Year 9)
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Rearranging Formulae (Year 9)
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Linear Equations: One, No, or Infinitely Many Solutions (Grade 8)
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Financial Mathematics
Geometry
Circles & Volume (Grade 8)
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Pythagoras' Theorem & Trigonometry (Grade 8)
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Surface Area & Congruence (Grade 8)
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Angles, Polygons & Enlargement (Grade 8)
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Congruent Triangles (Year 9)
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Similar Shapes & Enlargement (Year 9)
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Circumference & Area of Circles (Year 9)
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Area & Perimeter of Composite Shapes (Year 9)
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Volume of Cuboids (Year 9)
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Volume of Triangular Prisms (Year 9)
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Volume of Cylinders (Year 9)
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Trigonometric Ratios: SOH-CAH-TOA (Year 9)
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Trigonometry: Finding a Missing Side (Year 9)
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Trigonometry: Finding a Missing Angle (Year 9)
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Pythagoras' Theorem: Finding the Hypotenuse (Year 9)
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Pythagoras' Theorem: Finding a Missing Leg (Year 9)
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Pythagoras' Theorem: Word Problems (Year 9)
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Measurement
3D Position & Time Zones (Grade 8)
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Area & Perimeter of Composite Shapes (Grade 8)
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Perimeter of 2D Shapes (Year 9)
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Circumference of Circles, Half Circles and Quarter Circles (Year 9)
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Area of Parallelograms, Trapeziums and Kites (Year 9)
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Pythagoras' Theorem: Finding the Hypotenuse and a Shorter Side (Year 9)
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Trigonometric Ratios: Sine, Cosine and Tangent (Year 9)
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Using Trigonometry to Find Side Lengths (Year 9)
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Number
Ratios, Rates & Scale (Grade 8)
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Exponent Laws & Irrational Numbers (Grade 8)
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Financial Mathematics (Grade 8)
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Operations with Integers & Rational Numbers (Grade 8)
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Powers and Integer Exponents (Year 9)
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Exponent Laws: Multiplying and Dividing Powers (Year 9)
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Scientific Notation and Standard Form (Year 9)
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Error Intervals from Rounded Measurements (Year 9)
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Powers & Roots (Year 9)
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Converting Between Standard Form and Ordinary Numbers (Year 9)
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Comparing & Ordering Numbers in Standard Form (Year 9)
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Probability
Compound & Conditional Events (Grade 8)
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Theoretical Probability from a Sample Space (Year 9)
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Systematic Listing: Outcomes, Tables and Tree Diagrams (Year 9)
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Experimental vs Theoretical Probability (Year 9)
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Statistics
Mean, Median, Mode and Range (Grade 8)
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The Statistical Investigation Process (Grade 8)
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Sampling Methods (Grade 8)
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Two-Way Tables and Scatterplots (Grade 8)
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Summary Statistics: Mean, Median, Mode and Range (Year 9)
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Comparing Data Sets (Year 9)
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Statistical Investigations: PPDAC and Two-Way Tables (Year 9)
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Mean, Median, Mode & Range (Year 9)
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Comparing Data Sets & Outliers (Year 9)
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Finding a Missing Value from the Mean (Year 9)
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Scatter Plots: Describing Association & Spotting Outliers (Grade 8)
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Reading & English
Academic Vocabulary
Active and Passive Voice
Active or Passive Voice
Cohesive Devices
Comma, Ellipsis, or Dash
Commonly Misspelled Words
Connotation and Denotation
Formal or Informal Register
Frequently Confused Words
Greek and Latin Roots
Reading Comprehension
The Repair: Reading Comprehension Worksheet (Grade 8)
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Why Some Neighborhoods Run Hotter Than Others: Reading Comprehension Worksheet (Grade 8)
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The Last Edition: Reading Comprehension Worksheet (Grade 8)
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The Overland Telegraph: Reading Comprehension Worksheet (Grade 8)
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The Tryout: Reading Comprehension Worksheet (Grade 8)
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Semicolons and Dashes
Sentence Structures
Text Organisation Patterns
Text Type and Purpose
Using Reference Materials
Science
Cells and Organelles
Continental Drift (Reading)
Discovering Cells (Reading)
Elements, Compounds and Mixtures
Energy Forms and Transfers
Method Steps and Equipment
Ozone and the Montreal Protocol (Reading)
Physical and Chemical Change
Plate Tectonics
Reading Results Tables
The Rock Cycle
Variables and Fair Tests
Year 8 maths curriculum (ACARA v9)
All maths codes →The Mathematics content descriptions for Year 8. Open one for a plain-English summary, a teaching guide and any matching worksheets.
Number
AC9M8N01 Irrational numbers
Recognise irrational numbers in real contexts, including square roots and pi.
AC9M8N02 Exponent laws
Establish and apply the index laws for positive integer exponents and the zero exponent, using exponent notation with numbers.
AC9M8N03 Terminating and recurring decimals
Recognise terminating and recurring decimals, using digital tools where helpful.
AC9M8N04 Operations with integers and rationals
Use the four operations with integers and rational numbers, choosing efficient strategies and digital tools.
AC9M8N05 Model financial problems
Use mathematical modelling for practical problems with rational numbers and percentages in financial contexts, then review how well the model fits.
Algebra
AC9M8A01 Work with linear expressions
Create, expand, factorise, rearrange and simplify linear expressions using the properties of operations.
AC9M8A02 Graph and solve linear relations
Graph linear relations on the Cartesian plane and solve linear equations and one-variable inequalities using graphs and algebra.
AC9M8A03 Model linear relationships
Use mathematical modelling with linear functions to solve applied problems, including financial ones, and review the model.
AC9M8A04 Explore linear functions
Experiment with linear functions using digital tools, making and testing conjectures and generalising the patterns found.
Measurement
AC9M8M01 Area and perimeter of composite shapes
Solve problems about the area and perimeter of irregular and composite shapes using suitable units.
AC9M8M02 Volume and capacity of prisms
Solve problems about the volume and capacity of right prisms using suitable units.
AC9M8M03 Circumference and area of circles
Use formulas and suitable units to solve problems about the circumference and area of a circle.
AC9M8M04 Duration and time zones
Solve duration problems, including using 12- and 24-hour time across different time zones.
AC9M8M05 Rates
Recognise and use rates to solve problems that compare two related quantities measured in different units.
AC9M8M06 Pythagoras' theorem
Use Pythagoras' theorem to find unknown side lengths of right-angled triangles.
AC9M8M07 Model ratio and rate problems
Use mathematical modelling for practical problems involving ratios and rates, including financial ones, and review the model.
Space
AC9M8SP01 Congruence and similarity
Identify the conditions for triangles and other common shapes to be congruent or similar, including shapes formed by transformations.
AC9M8SP02 Properties of quadrilaterals
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems with reasoning.
AC9M8SP03 Position in three dimensions
Describe the position of objects in three dimensions, including with a three-dimensional coordinate system and digital tools.
AC9M8SP04 Algorithms for congruence
Design, create and test algorithms that decide whether shapes are congruent or similar, and describe how they work.
Statistics
AC9M8ST01 Data collection methods
Investigate ways to collect data, including census, sampling, experiment and observation, and explain what each method means in practice.
AC9M8ST02 Sampling from sources
Analyse and report on data from primary and secondary sources using random and non-random sampling to select and study samples.
AC9M8ST03 Sample size and variation
Compare distributions and proportions from equal-sized random samples and describe how sample size affects the variation.
AC9M8ST04 Investigations with samples
Plan and conduct investigations that sample a population, using fair methods to make inferences and acknowledging uncertainty.
Probability
AC9M8P01 Complementary events
Recognise that complementary events have probabilities that add to one, and use this to calculate probabilities in real contexts.
AC9M8P02 Combinations for two events
Find all combinations for two events using two-way tables, tree diagrams and Venn diagrams, and use them to work out probabilities.
AC9M8P03 Simulate compound events
Run repeated chance experiments and simulations with digital tools to estimate probabilities for compound events, and describe the results.
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