# Year 8 maths

Here is a list of all of the maths skills students learn in year 8! 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 numerical expressions involving integers

## Rational numbers

- D.1Identify rational and irrational numbers
- D.2Write fractions in lowest terms
- D.3Lowest common denominator
- D.4Round decimals and mixed numbers
- D.5Absolute value of rational numbers
- D.6Convert between decimals and fractions or mixed numbers
- D.7Repeating decimals
- D.8Compare rational numbers
- D.9Put rational numbers in order

## 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 numerical 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.6Square roots of perfect squares
- F.7Estimate square roots
- F.8Relationship between squares and square roots
- F.9Solve equations involving squares and square roots
- F.10Cube roots of perfect cubes
- F.11Estimate cube roots
- F.12Solve equations involving cubes and cube roots

## Ratios, rates and proportions

- G.1Understanding ratios
- G.2Identify equivalent ratios
- G.3Write an equivalent ratio
- G.4Equivalent ratios: word problems
- G.5Unit rates
- G.6Compare ratios: word problems
- G.7Solve proportions: word problems
- G.8Do the ratios form a proportion?
- G.9Do the ratios form a proportion: word problems
- G.10Solve proportions
- G.11Estimate population size using proportions
- G.12Scale drawings: word problems

## Proportional relationships

- H.1Find the constant of proportionality from a table
- H.2Write equations for proportional relationships from tables
- H.3Identify proportional relationships by graphing
- H.4Find the constant of proportionality from a graph
- H.5Write equations for proportional relationships from graphs
- H.6Identify proportional relationships
- H.7Graph proportional relationships
- H.8Interpret graphs of proportional relationships
- H.9Write and solve equations for proportional relationships

## Percents

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

## Consumer maths

## Units of measurement

## Problem solving

## Coordinate plane

## Two-dimensional figures

- N.1Identify and classify polygons
- N.2Classify triangles
- N.3Classify quadrilaterals
- N.4Graph triangles and quadrilaterals
- N.5Find missing angles in triangles and quadrilaterals
- N.6Interior angles of polygons
- N.7Identify complementary, supplementary, vertical, adjacent and congruent angles
- N.8Find measures of complementary, supplementary, vertical and adjacent angles
- N.9Transversal of parallel lines
- N.10Find lengths and measures of bisected lines and angles
- N.11Parts of a circle

## Transformations and congruence

- O.1Symmetry
- O.2Count lines of symmetry
- O.3Draw lines of symmetry
- O.4Identify reflections, rotations and translations
- O.5Translations: graph the image
- O.6Translations: find the coordinates
- O.7Reflections: graph the image
- O.8Reflections: find the coordinates
- O.9Rotations: graph the image
- O.10Rotations: find the coordinates
- O.11Side lengths and angle measures of congruent figures
- O.12Congruence statements and corresponding parts
- O.13Congruent triangles: SSS, SAS and ASA

## Transformations and similarity

## Pythagoras' theorem

## Three-dimensional figures

## Geometric measurement

## Expressions and properties

- U.1Write variable expressions
- U.2Write variable expressions from diagrams
- U.3Write variable expressions: word problems
- U.4Evaluate one-variable expressions
- U.5Evaluate multi-variable expressions
- U.6Evaluate absolute value expressions
- U.7Evaluate radical expressions
- U.8Evaluate rational expressions
- U.9Identify terms and coefficients
- U.10Properties of addition and multiplication
- U.11Multiply using the distributive property
- U.12Simplify variable expressions using properties
- U.13Add and subtract like terms
- U.14Add, subtract and multiply linear expressions
- U.15Factors of linear expressions
- U.16Identify equivalent linear expressions

## 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.5Properties of equality
- V.6Solve one-step equations
- V.7Solve two-step equations
- V.8Solve multi-step equations
- V.9Solve equations involving like terms
- V.10Solve equations: word problems

## One-variable inequalities

## Linear functions

- X.1Identify functions
- X.2Does (x, y) satisfy the linear function?
- X.3Identify independent and dependent variables
- X.4Rate of change
- X.5Constant rate of change
- X.6Complete a table for a linear function
- X.7Complete a table and graph a linear function
- X.8Graph a line from an equation
- X.9Interpret the graph of a linear function: word problems
- X.10Write a linear function from a table
- X.11Write linear functions: word problems

## Monomials and polynomials

- Y.1Identify monomials
- Y.2Model polynomials with algebra tiles
- Y.3Add and subtract polynomials using algebra tiles
- Y.4Add and subtract polynomials
- Y.5Add polynomials to find perimeter
- Y.6Multiply monomials
- Y.7Divide monomials
- Y.8Multiply and divide monomials
- Y.9Multiply polynomials using algebra tiles
- Y.10Multiply polynomials
- Y.11Multiply polynomials to find area
- Y.12Factorise out a monomial

## Data and graphs

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