# Grade 8 maths

Here is a list of all of the maths skills students learn in grade 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

## 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

## Scientific notation

## 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.11Rate of change
- H.12Constant rate of change
- H.13Scale drawings and scale factors

## 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

## Problem solving

## Data and graphs

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

## Pythagoras' theorem

## Coordinate plane

## Geometry

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

## 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
- Q.12Count lines of symmetry
- Q.13Draw lines of symmetry

## Constructions

## Measurement

## Number sequences

## Variable expressions

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

## Single-variable equations

## Linear functions

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

## Nonlinear functions

## 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.9Powers of monomials
- Y.10Square and cube roots of monomials