# Class VIII maths

Here is a list of all of the maths skills students learn in class VIII! 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

## 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.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 using properties of 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
- F.21Solve equations involving cubes and cube roots

## Scientific notation

## Ratios, rates and proportions

- H.1Understanding ratios
- H.2Identify equivalent ratios
- H.3Write an equivalent ratio
- H.4Equivalent ratios: word problems
- H.5Unit rates
- H.6Compare ratios: word problems
- H.7Solve proportions: word problems
- H.8Do the ratios form a proportion?
- H.9Do the ratios form a proportion: word problems
- H.10Solve proportions
- H.11Estimate population size using proportions
- H.12Scale drawings: word problems
- H.13Rate of change
- H.14Constant rate of change

## Proportional relationships

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

## Units of measurement

## Problem solving

## Coordinate plane

## Two-dimensional figures

- O.1Identify and classify polygons
- O.2Classify triangles
- O.3Classify quadrilaterals
- O.4Graph triangles and quadrilaterals
- O.5Properties of parallelograms
- O.6Properties of rhombuses
- O.7Properties of squares and rectangles
- O.8Find missing angles in triangles and quadrilaterals
- O.9Interior angles of polygons
- O.10Lines, line segments and half lines
- O.11Identify complementary, supplementary, vertical, adjacent and congruent angles
- O.12Find measures of complementary, supplementary, vertical and adjacent angles
- O.13Transversal of parallel lines
- O.14Find lengths and measures of bisected lines and angles
- O.15Parts of a circle
- O.16Symmetry
- O.17Count lines of symmetry
- O.18Draw lines of symmetry

## Congruence and similarity

## Constructions

## Pythagoras' theorem

## Geometric measurement

- T.1Perimeter
- T.2Area
- T.3Area between two shapes
- T.4Area and perimeter: word problems
- T.5Circles, semicircles and quarter circles
- T.6Circles: word problems
- T.7Volume of prisms and cylinders
- T.8Surface area of prisms and cylinders
- T.9Volume and surface area of similar solids
- T.10Perimeter, area and volume: changes in scale

## Number sequences

## Expressions and properties

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

## One-variable equations

- W.1Which x satisfies an equation?
- W.2Write an equation from words
- W.3Model and solve equations using algebra tiles
- W.4Write and solve equations that represent diagrams
- W.5Properties of equality
- W.6Solve one-step equations
- W.7Solve two-step equations
- W.8Solve multi-step equations
- W.9Solve equations involving like terms
- W.10Solve equations: word problems

## Monomials and polynomials

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

## Factorising

## 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 pie charts
- Z.13Pie charts and central angles
- Z.14Choose the best type of graph