# 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 expressions involving integers
- C.9Evaluate absolute value expressions

## Rational numbers

- D.1Identify rational and irrational numbers
- D.2Simplify fractions
- D.3Least 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 expressions involving rational numbers
- E.10Evaluate rational expressions

## 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.9Evaluate radical expressions
- F.10Cube roots of perfect cubes
- F.11Estimate cube roots

## Ratios and proportions

- G.1Understanding ratios
- G.2Equivalent ratios
- G.3Equivalent ratios: word problems
- G.4Compare ratios: word problems
- G.5Unit rates
- G.6Do the ratios form a proportion?
- G.7Do the ratios form a proportion: word problems
- G.8Solve proportions
- G.9Solve proportions: word problems
- G.10Estimate population size using proportions
- G.11Rate of change
- G.12Constant rate of change
- G.13Scale drawings and scale factors

## 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

## Problem solving

## Data and graphs

- L.1Interpret tables
- L.2Interpret bar graphs
- L.3Create bar graphs
- L.4Interpret line graphs
- L.5Create line graphs
- L.6Interpret line plots
- L.7Create line plots
- L.8Create and interpret line plots with fractions
- L.9Interpret stem-and-leaf plots
- L.10Interpret histograms
- L.11Create histograms
- L.12Create frequency charts
- L.13Interpret box-and-whisker plots
- L.14Scatter plots
- L.15Interpret circle graphs
- L.16Circle graphs and central angles
- L.17Choose the best type of graph

## Pythagoras' theorem

## Coordinate plane

## Geometry

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

## Transformations

- P.1Identify reflections, rotations and translations
- P.2Translations: graph the image
- P.3Translations: find the coordinates
- P.4Reflections: graph the image
- P.5Reflections: find the coordinates
- P.6Rotations: graph the image
- P.7Rotations: find the coordinates
- P.8Dilations: graph the image
- P.9Dilations: find the coordinates
- P.10Dilations: scale factor and classification
- P.11Symmetry
- P.12Count lines of symmetry
- P.13Draw lines of symmetry

## Measurement

## Number sequences

## Variable expressions

- S.1Write variable expressions
- S.2Write variable expressions from diagrams
- S.3Identify terms and coefficients
- S.4Evaluate one-variable expressions
- S.5Evaluate multi-variable expressions
- S.6Add and subtract like terms
- S.7Add, subtract, and multiply linear expressions
- S.8Factorise linear expressions
- S.9Identify equivalent linear expressions

## Single-variable equations

- T.1Which x satisfies an equation?
- T.2Model and solve equations using algebra tiles
- T.3Write and solve equations that represent diagrams
- T.4Solve one-step equations
- T.5Solve two-step equations
- T.6Solve equations involving squares and square roots
- T.7Solve multi-step equations
- T.8Solve equations involving like terms

## Linear functions

- U.1Does (x, y) satisfy the linear function?
- U.2Complete a table for a linear function
- U.3Write a linear function from a table
- U.4Interpret the graph of a linear function: word problems
- U.5Complete a table and graph a linear function
- U.6Graph a line from an equation
- U.7Write linear functions: word problems

## Inequalities

## Monomials and polynomials

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