# Year 10 maths

Here is a list of all of the maths skills students learn in year 10! 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!

## Numbers

## Operations

- B.1Add, subtract, multiply and divide integers
- B.2Evaluate numerical expressions involving integers
- B.3Evaluate variable expressions involving integers
- B.4Add and subtract rational numbers
- B.5Multiply and divide rational numbers
- B.6Evaluate numerical expressions involving rational numbers
- B.7Evaluate variable expressions involving rational numbers

## Ratios, rates and proportions

## Percents

## Measurement

## Geometry

- F.1Perimeter
- F.2Area
- F.3Symmetry
- F.4Count lines of symmetry
- F.5Draw lines of symmetry
- F.6Identify and classify polygons
- F.7Interior angles of polygons
- F.8Volume
- F.9Surface area
- F.10Congruent figures: side lengths and angle measures
- F.11Similar figures: side lengths and angle measures
- F.12Similar triangles and indirect measurement
- F.13Area and perimeter of similar figures
- F.14Area between two shapes
- F.15Similar solids
- F.16Volume and surface area of similar solids
- F.17Perimeter, area and volume: changes in scale
- F.18Identify reflections, rotations and translations
- F.19Reflections, rotations and translations: find the coordinates
- F.20Reflections, rotations and translations: graph the image
- F.21Dilations and scale factors
- F.22Pythagoras' theorem
- F.23Pythagoras' theorem: word problems
- F.24Converse of Pythagoras' theorem: is it a right triangle?

## Properties

## Variable expressions and equations

## Solve equations

- K.1Model and solve equations using algebra tiles
- K.2Write and solve equations that represent diagrams
- K.3Solve one-step linear equations
- K.4Solve two-step linear equations
- K.5Solve advanced linear equations
- K.6Solve equations with variables on both sides
- K.7Find the number of solutions
- K.8Create equations with no solutions or infinitely many solutions
- K.9Solve linear equations: word problems
- K.10Solve linear equations: mixed review

## Single-variable inequalities

- L.1Graph inequalities
- L.2Write inequalities from graphs
- L.3Identify solutions to inequalities
- L.4Solve one-step linear inequalities: addition and subtraction
- L.5Solve one-step linear inequalities: multiplication and division
- L.6Solve one-step linear inequalities
- L.7Graph solutions to one-step linear inequalities
- L.8Solve two-step linear inequalities
- L.9Graph solutions to two-step linear inequalities
- L.10Solve advanced linear inequalities
- L.11Graph solutions to advanced linear inequalities
- L.12Graph compound inequalities
- L.13Write compound inequalities from graphs
- L.14Solve compound inequalities
- L.15Graph solutions to compound inequalities

## Data and graphs

## Relations and functions

- N.1Relations: convert between tables, graphs, mappings and lists of points
- N.2Identify independent and dependent variables
- N.3Identify functions
- N.4Identify functions: vertical line test
- N.5Identify types of functions from graphs
- N.6Find values using function graphs
- N.7Evaluate a function
- N.8Evaluate a function: plug in an expression
- N.9Complete a function table from a graph
- N.10Complete a function table from an equation
- N.11Interpret the graph of a function: word problems

## Direct and inverse variation

- O.1Identify proportional relationships
- O.2Find the constant of variation
- O.3Graph a proportional relationship
- O.4Write direct variation equations
- O.5Write and solve direct variation equations
- O.6Identify direct variation and inverse variation
- O.7Write inverse variation equations
- O.8Write and solve inverse variation equations

## Linear functions

- P.1Identify linear functions
- P.2Find the gradient of a graph
- P.3Find the gradient from two points
- P.4Find a missing coordinate using gradient
- P.5Find the gradient and y-intercept of a linear equation
- P.6Graph an equation in y=mx+c form
- P.7Write an equation in y=mx+c form from a graph
- P.8Write an equation in y=mx+c form
- P.9Write an equation in y=mx+c form from a table
- P.10Write an equation in y=mx+c form from a word problem
- P.11Linear equations: solve for y
- P.12Write linear functions to solve word problems
- P.13Complete a table and graph a linear function
- P.14Compare linear functions: graphs, tables and equations
- P.15Write equations in standard form
- P.16Standard form: find x- and y-intercepts
- P.17Standard form: graph an equation
- P.18Equations of horizontal and vertical lines
- P.19Graph a horizontal or vertical line
- P.20Point-gradient form: graph an equation
- P.21Point-gradient form: write an equation
- P.22Point-gradient form: write an equation from a graph
- P.23Gradients of parallel and perpendicular lines
- P.24Write an equation for a parallel or perpendicular line
- P.25Transformations of linear functions

## Linear inequalities

## Simultaneous equations

- R.1Is (x, y) a solution to the simultaneous equations?
- R.2Solve simultaneous equations by graphing
- R.3Solve simultaneous equations by graphing: word problems
- R.4Find the number of solutions to simultaneous equations by graphing
- R.5Find the number of solutions to simultaneous equations
- R.6Solve simultaneous equations using substitution
- R.7Solve simultaneous equations using substitution: word problems
- R.8Solve simultaneous equations using elimination
- R.9Solve simultaneous equations using elimination: word problems

## Exponents

- S.1Exponents with integer bases
- S.2Exponents with decimal and fractional bases
- S.3Negative exponents
- S.4Multiplication with exponents
- S.5Division with exponents
- S.6Multiplication and division with exponents
- S.7Power rule
- S.8Evaluate expressions involving exponents
- S.9Identify equivalent expressions involving exponents

## Number sequences

## Standard form

## Exponential functions

## Monomials

## Polynomials

- X.1Polynomial vocabulary
- 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 a polynomial by a monomial
- X.7Multiply two polynomials using algebra tiles
- X.8Multiply two binomials
- X.9Multiply two binomials: special cases
- X.10Multiply polynomials

## Factorising

## Quadratic equations

- Z.1Characteristics of quadratic functions
- Z.2Complete a function table: quadratic functions
- Z.3Solve a quadratic equation using square roots
- Z.4Solve an equation using the zero product property
- Z.5Solve a quadratic equation by factorising
- Z.6Complete the square
- Z.7Solve a quadratic equation by completing the square
- Z.8Solve a quadratic equation using the quadratic formula

## Radical expressions

- AA.1Simplify radical expressions
- AA.2Simplify radical expressions involving fractions
- AA.3Multiply radical expressions
- AA.4Add and subtract radical expressions
- AA.5Simplify radical expressions using the distributive property
- AA.6Divide radical expressions
- AA.7Simplify radical expressions: mixed review