# Year 9 maths

Here is a list of all of the maths skills students learn in year 9! These skills are organised into categories, and you can move your mouse over any skill name to view a sample question. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Number theory

## Integers

## Operations with integers

- C.1Integer addition and subtraction rules
- C.2Add and subtract integers using counters
- C.3Add and subtract integers
- C.4Add and subtract three or more integers
- C.5Add and subtract integers: word problems
- C.6Integer multiplication and division rules
- C.7Multiply and divide integers
- C.8Evaluate expressions involving integers

## Rational numbers

## Operations with rational numbers

- E.1Reciprocals and multiplicative inverses
- E.2Add and subtract rational numbers
- E.3Add and subtract rational numbers: word problems
- E.4Apply addition and subtraction rules
- E.5Multiply and divide rational numbers
- E.6Multiply and divide rational numbers: word problems
- E.7Apply multiplication and division rules
- E.8Apply addition, subtraction, multiplication and division rules
- E.9Evaluate expressions involving rational numbers

## Exponents and roots

- F.1Understanding exponents
- F.2Evaluate exponents
- F.3Solve equations with variable exponents
- F.4Exponents with negative bases
- F.5Exponents with decimal and fractional bases
- F.6Understanding negative exponents
- F.7Evaluate negative exponents
- F.8Multiplication with exponents
- F.9Division with exponents
- F.10Multiplication and division with exponents
- F.11Power rule
- F.12Evaluate expressions involving exponents
- F.13Identify equivalent expressions involving exponents
- F.14Square roots of perfect squares
- F.15Positive and negative square roots
- F.16Estimate positive and negative square roots
- F.17Relationship between squares and square roots
- F.18Solve equations involving squares and square roots
- F.19Cube roots of perfect cubes
- F.20Estimate cube roots

## Standard form

## Ratios and proportions

- H.1Understanding ratios
- H.2Equivalent ratios
- H.3Equivalent ratios: word problems
- H.4Compare ratios: word problems
- H.5Unit rates
- H.6Do the ratios form a proportion?
- H.7Do the ratios form a proportion: word problems
- H.8Solve proportions
- H.9Solve proportions: word problems
- H.10Estimate population size using proportions
- H.11Scale drawings and scale factors

## Proportional relationships

- I.1Find the constant of proportionality from a table
- I.2Identify graphs of proportional relationships
- I.3Find the constant of proportionality from a graph
- I.4Write equations for proportional relationships
- I.5Graph proportional relationships
- I.6Identify proportional relationships
- I.7Find the constant of proportionality: word problems
- I.8Solve problems involving proportional relationships

## Percents

- J.1Convert between percents, fractions and decimals
- J.2Compare percents to fractions and decimals
- J.3Find what percent one number is of another
- J.4Find what percent one number is of another: word problems
- J.5Estimate percents of numbers
- J.6Percents of numbers and money amounts
- J.7Percents of numbers: word problems
- J.8Compare percents of numbers
- J.9Solve percent equations
- J.10Percent of change
- J.11Percent of change: word problems

## Consumer maths

## Measurement

## Problem solving

## Geometry

- N.1Identify complementary, supplementary, vertical, adjacent and congruent angles
- N.2Find measures of complementary, supplementary, vertical and adjacent angles
- N.3Transversal of parallel lines
- N.4Classify triangles
- N.5Classify quadrilaterals
- N.6Find missing angles in triangles and quadrilaterals
- N.7Identify and classify polygons
- N.8Interior angles of polygons
- N.9Similar and congruent figures
- N.10Similar figures: side lengths and angle measures
- N.11Congruent figures: side lengths and angle measures
- N.12Congruence statements and corresponding parts
- N.13Congruent triangles: SSS, SAS and ASA
- N.14Perimeter
- N.15Area
- N.16Area and perimeter: word problems
- N.17Area between two shapes
- N.18Parts of a circle
- N.19Circles, semicircles and quarter circles
- N.20Circles: word problems
- N.21Find lengths and measures of bisected lines and angles
- N.22Front, side and top view
- N.23Base plans
- N.24Names and parts of 3-dimensional figures
- N.25Nets of 3-dimensional figures
- N.26Surface area of prisms and cylinders
- N.27Volume
- N.28Similar solids
- N.29Volume and surface area of similar solids
- N.30Perimeter, area and volume: changes in scale

## Pythagoras' theorem

## Coordinate plane

## Transformations

- Q.1Identify reflections, rotations and translations
- Q.2Translations: graph the image
- Q.3Translations: find the coordinates
- Q.4Reflections: graph the image
- Q.5Reflections: find the coordinates
- Q.6Rotations: graph the image
- Q.7Rotations: find the coordinates
- Q.8Dilations: graph the image
- Q.9Dilations: find the coordinates
- Q.10Dilations: scale factor and classification
- Q.11Symmetry

## Constructions

## Number sequences

## Variable expressions

- T.1Write variable expressions
- T.2Write variable expressions from diagrams
- T.3Write variable expressions: word problems
- T.4Evaluate one-variable expressions
- T.5Evaluate multi-variable expressions
- T.6Evaluate absolute value expressions
- T.7Evaluate radical expressions
- T.8Evaluate rational expressions
- T.9Identify terms and coefficients
- T.10Add and subtract like terms
- T.11Add, subtract, and multiply linear expressions
- T.12Factorise linear expressions
- T.13Identify equivalent linear expressions

## Properties

## One-variable equations

- V.1Which x satisfies an equation?
- V.2Write an equation from words
- V.3Model and solve equations using algebra tiles
- V.4Write and solve equations that represent diagrams
- V.5Solve one-step equations
- V.6Solve two-step equations
- V.7Solve multi-step equations
- V.8Solve equations involving like terms
- V.9Solve equations: word problems

## One-variable inequalities

## Linear equations

- X.1Find the gradient of a graph
- X.2Find the gradient from two points
- X.3Find a missing coordinate using gradient
- X.4Find the gradient of an equation
- X.5Graph a line using gradient
- X.6Write a linear equation from a gradient and y-intercept
- X.7Write a linear equation from a graph
- X.8Write a linear equation from a gradient and a point
- X.9Write a linear equation from two points
- X.10Gradients of parallel and perpendicular lines

## Functions

- Y.1Identify functions
- Y.2Does (x, y) satisfy the linear function?
- Y.3Identify independent and dependent variables
- Y.4Rate of change
- Y.5Constant rate of change
- Y.6Complete a table for a linear function
- Y.7Graph a line from a function table
- Y.8Graph a line from an equation
- Y.9Interpret the graph of a linear function: word problems
- Y.10Write a linear function from a table
- Y.11Compare linear functions: graphs, tables and equations
- Y.12Write linear functions: word problems
- Y.13Interpret linear functions
- Y.14Identify linear and nonlinear functions
- Y.15Does (x, y) satisfy the nonlinear function?
- Y.16Find values using function graphs
- Y.17Complete a table for a function graph

## Monomials and polynomials

- Z.1Identify monomials
- Z.2Model polynomials with algebra tiles
- Z.3Add and subtract polynomials using algebra tiles
- Z.4Add and subtract polynomials
- Z.5Add polynomials to find perimeter
- Z.6Multiply monomials
- Z.7Divide monomials
- Z.8Multiply and divide monomials
- Z.9Powers of monomials
- Z.10Square and cube roots of monomials
- Z.11Multiply polynomials using algebra tiles
- Z.12Multiply polynomials
- Z.13Multiply polynomials to find area

## Data and graphs

- AA.1Interpret tables
- AA.2Interpret bar graphs
- AA.3Create bar graphs
- AA.4Interpret line graphs
- AA.5Create line graphs
- AA.6Interpret line plots
- AA.7Create line plots
- AA.8Interpret stem-and-leaf plots
- AA.9Interpret histograms
- AA.10Create histograms
- AA.11Create frequency charts
- AA.12Interpret box-and-whisker plots
- AA.13Scatter plots
- AA.14Interpret pie charts
- AA.15Pie charts and central angles
- AA.16Choose the best type of graph

## Statistics

## Probability

- CC.1Probability of simple events
- CC.2Probability of opposite, mutually exclusive and overlapping events
- CC.3Experimental probability
- CC.4Make predictions
- CC.5Compound events: find the number of outcomes
- CC.6Identify independent and dependent events
- CC.7Probability of independent and dependent events
- CC.8Counting principle