Year 10 maths, age 15 to 16

In Year 10 mathematics, Australian students consolidate algebraic and numerical fluency, working with fractional and negative indices, surds, and compound interest. They solve monic and non-monic quadratic equations, pairs of simultaneous linear equations, and connect linear and non-linear relationships to their graphical representations. They also solve complex geometric problems using trigonometry, Pythagoras' theorem, and deductive proofs, alongside analysing bivariate data and compound probability.

Start a Year 10 sheet

Equivalent levels

Topics

Number

Topic	Focus	Codes
Index Laws	secure	AC9M10N01
Squares, Cubes and Roots	secure	AC9M10N01

Percentages

Topic	Focus	Codes
Percentage Increase and Decrease	secure	AC9M10N03

Ratio

Topic	Focus	Codes
Proportion and Unit Rates	secure	AC9M10N03

Algebra

Topic	Focus	Codes
Factorising algebraic expressions	secure	AC9M10A01, AC9M10A02
Expanding brackets	secure	AC9M10A01
Solving Quadratic Equations	introduce	AC9M10A02
Simultaneous equations	introduce	AC9M10A03
Linear graphs and gradient	secure	AC9M10A03, AC9M10A05
Two-step and multi-step equations	secure	AC9M10A04
Linear inequalities	secure	AC9M10A04

Measurement

Topic	Focus	Codes
Speed, Distance and Time	secure

Geometry

Topic	Focus	Codes
Pythagoras' Theorem	secure	AC9M10SP01

Probability

Topic	Focus	Codes
Single Event Probability	secure	AC9M10P01

Statistics

Topic	Focus	Codes
Mean, Median, Mode and Range	secure	AC9M10ST01

Curriculum items

Indicative, from Australian Curriculum v9. See the official document for the authoritative text.

AC9M10N01 Evaluate and simplify numerical expressions using index laws including negative and fractional powers.
AC9M10N03 Solve practical problems involving compound interest, rates, and repeated percentage change.
AC9M10A01 Factorise and expand algebraic expressions including the difference of squares and quadratic trinomials.
AC9M10A02 Solve quadratic equations algebraically by factorisation and application of formulas.
AC9M10A03 Solve pairs of simultaneous linear equations using algebraic and graphical techniques.
AC9M10A04 Solve complex multi-step linear equations and linear inequalities, expressing solutions graphically and algebraically.
AC9M10A05 Graph straight-line relationships, find parallel and perpendicular gradients, and calculate midpoints and distances.
Solve rate problems and compound measurement conversions involving speed, distance, and time.
AC9M10SP01 Apply Pythagoras' theorem and trigonometry to solve spatial problems involving two- and three-dimensional objects.
AC9M10P01 Calculate probabilities for two- and three-step experiments involving independent and dependent events.
AC9M10ST01 Compare data distributions using statistical measures of centre, spread, and shape.

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