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Free Year 9 Worksheets (printable PDF)

Free printable Year 9 worksheets for the Australian curriculum, across every subject we cover. Year 9 covers real numbers, quadratics, trigonometry, surface area and volume, similarity and statistics. 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.

Ready-made worksheet sets for this year level are still rolling out. You can browse the curriculum content descriptions below, or generate a custom worksheet in seconds.

Year 9 maths curriculum (ACARA v9)

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The Mathematics content descriptions for Year 9. Open one for a plain-English summary, a teaching guide and any matching worksheets.

Number

AC9M9N01 The real number system
Recognise that the real numbers are made up of the rational and irrational numbers, and solve problems with real numbers using digital tools.

Algebra

AC9M9A01 Exponent laws with variables
Apply the index laws to numerical expressions with integer exponents and extend them to expressions with variables.
AC9M9A02 Expand and factorise quadratics
Simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions.
AC9M9A03 Gradient, midpoint and distance
Find the gradient of a line segment, the midpoint of an interval and the distance between two points on the Cartesian plane.
AC9M9A04 Quadratic functions
Graph quadratic functions and solve quadratic equations graphically, numerically and, for monic quadratics with integer roots, algebraically.
AC9M9A05 Model change with functions
Use mathematical modelling with linear or quadratic functions to solve problems involving change, then evaluate and report on the model.
AC9M9A06 Vary graph parameters
Explore how changing parameters affects the graphs of related functions, connecting the graph and the algebra and generalising the patterns.

Measurement

AC9M9M01 Volume and surface area
Solve problems about the volume and surface area of right prisms and cylinders using suitable units.
AC9M9M02 Scientific notation
Solve problems with very small and very large measurements, time scales and intervals written in scientific notation.
AC9M9M03 Trigonometry and Pythagoras
Solve spatial problems by applying angle properties, scale, similarity, Pythagoras' theorem and right-angled trigonometry.
AC9M9M04 Measurement error
Calculate and interpret absolute, relative and percentage error, recognising that every measurement is an estimate.
AC9M9M05 Model proportion and rates
Use mathematical modelling for problems with direct proportion, rates, ratio and scale, then evaluate and report on the model.

Space

AC9M9SP01 Trigonometric ratios
Recognise that the sine, cosine and tangent ratios stay constant for a given angle in right-angled triangles because of similarity.
AC9M9SP02 Enlargement transformation
Apply the enlargement transformation to shapes with dynamic geometry software, and explain what changes and what stays the same.
AC9M9SP03 Algorithms for constructions
Design, test and refine algorithms built on geometric constructions and theorems, then discuss and evaluate the refinements.

Statistics

AC9M9ST01 Survey reports in the media
Analyse survey reports in the media to see how data was gathered and used to estimate population means and medians.
AC9M9ST02 Sampling and representation
Analyse how sampling methods and the choice of display can shape survey results and support a particular point of view.
AC9M9ST03 Compare data distributions
Represent several numerical data sets with comparative displays and compare their centre, spread, shape and the effect of outliers.
AC9M9ST04 Choose the right display
Choose a suitable display or visualisation for a type of data, justify the choice and interpret it in context.
AC9M9ST05 Statistical investigations
Plan and conduct investigations that collect and analyse different kinds of data, then weigh up the strength of the evidence for any conclusion.

Probability

AC9M9P01 Compound events
List outcomes for compound events with and without replacement using lists, tree diagrams, tables or arrays, and assign probabilities.
AC9M9P02 Relative frequency
Use relative frequencies from data to estimate probabilities of events joined by 'and', inclusive 'or' and exclusive 'or'.
AC9M9P03 Compare simple and compound events
Design and run repeated chance experiments and simulations to compare the probabilities of simple and related compound events.
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