# Class VIII

Here is a list of all of the 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

## 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.8Simplify expressions involving integers
- C.9Evaluate variable expressions with 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.4Multiply and divide rational numbers
- E.5Multiply and divide rational numbers: word problems
- E.6Simplify expressions involving rational numbers
- E.7Evaluate variable expressions involving rational numbers

## Exponents and roots

- F.1Understanding exponents
- F.2Evaluate exponents
- F.3Exponents: solve for the variable
- 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.12Simplify expressions involving exponents
- F.13Square roots of perfect squares
- F.14Positive and negative square roots
- F.15Estimate positive and negative square roots
- F.16Relationship between squares and square roots
- F.17Evaluate variable expressions involving squares and square roots
- F.18Cube roots of perfect cubes
- F.19Estimate 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

## 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.8Interpret stem-and-leaf plots
- M.9Interpret histograms
- M.10Create histograms
- M.11Create frequency charts
- M.12Interpret circle graphs
- M.13Circle graphs and central angles
- M.14Choose the best type of graph

## Pythagorean theorem

## Coordinate graphs

## Geometry

- P.1Lines, line segments and half lines
- 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.8Properties of parallelograms
- P.9Properties of rhombuses
- P.10Properties of squares and rectangles
- P.11Identify and classify polygons
- P.12Interior angles of polygons
- P.13Similar and congruent figures
- P.14Similar figures: side lengths and angle measures
- P.15Congruent figures: side lengths and angle measures
- P.16Congruence statements and corresponding parts
- P.17Congruent triangles: SSS, SAS and ASA
- P.18Perimeter
- P.19Area
- P.20Area between two shapes
- P.21Area and perimeter: word problems
- P.22Parts of a circle
- P.23Circles, semicircles and quarter circles
- P.24Circles: word problems
- P.25Find lengths and measures of bisected lines and angles
- P.26Front, side and top view
- P.27Base plans
- P.28Names and parts of 3-dimensional figures
- P.29Nets of 3-dimensional figures
- P.30Surface area of prisms and cylinders
- P.31Volume of prisms and cylinders
- P.32Similar solids
- P.33Volume and surface area of similar solids
- P.34Perimeter, area and volume: changes in scale
- P.35Symmetry

## Constructions

## Measurement

## Number sequences

## Variable expressions

## Single-variable equations

- U.1Does x satisfy the equation?
- U.2Model and solve equations using algebra tiles
- U.3Write and solve equations that represent diagrams
- U.4Solve one-step linear equations
- U.5Solve two-step linear equations
- U.6Solve equations involving squares and square roots
- U.7Solve multi-step equations
- U.8Solve equations involving like terms

## Monomials and polynomials

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