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

## Ratios, rates and proportions

## Percents

- D.1 Convert between percents, fractions and decimals
- D.2 Solve percent equations
- D.3 Percent word problems
- D.4 Percent of change
- D.5 Percent of change: word problems
- D.6 Simple interest
- D.7 Compound interest
- D.8 Percent of a number: GST, discount and more
- D.9 Find the percent: discount and mark-up
- D.10 Multi-step problems with percents

## Measurement

## Geometry

- F.1 Perimeter
- F.2 Area
- F.3 Area of compound figures
- F.4 Interior angles of polygons
- F.5 Transversal of parallel lines
- F.6 Volume
- F.7 Surface area
- F.8 Congruent figures: side lengths and angle measures
- F.9 Similar figures: side lengths and angle measures
- F.10 Similar triangles and indirect measurement
- F.11 Dilations and scale factors
- F.12 Area and perimeter of similar figures
- F.13 Area between two shapes
- F.14 Similar solids
- F.15 Volume and surface area of similar solids
- F.16 Perimeter, area and volume: changes in scale
- F.17 Pythagoras' theorem
- F.18 Pythagoras' theorem: word problems
- F.19 Converse of Pythagoras' theorem: is it a right triangle?
- F.20 Special right triangles

## Coordinate plane

## Properties

## Variable expressions and equations

## Solve equations

- J.1 Model and solve equations using algebra tiles
- J.2 Write and solve equations that represent diagrams
- J.3 Solve one-step linear equations
- J.4 Solve two-step linear equations
- J.5 Solve advanced linear equations
- J.6 Solve equations with variables on both sides
- J.7 Solve equations: complete the solution
- J.8 Find the number of solutions
- J.9 Create equations with no solutions or infinitely many solutions
- J.10 Solve linear equations: word problems
- J.11 Solve linear equations: mixed review

## Single-variable inequalities

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

## Data and graphs

## Relations and functions

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

## Direct variation

## Linear functions

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

## Linear inequalities

## Simultaneous equations

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

## Exponents

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

## Standard form

## Monomials

## Polynomials

- U.1 Polynomial vocabulary
- U.2 Model polynomials with algebra tiles
- U.3 Add and subtract polynomials using algebra tiles
- U.4 Add and subtract polynomials
- U.5 Add polynomials to find perimeter
- U.6 Multiply a polynomial by a monomial
- U.7 Multiply two polynomials using algebra tiles
- U.8 Multiply two binomials
- U.9 Multiply two binomials: special cases
- U.10 Multiply polynomials

## Factorising

## Radical expressions

- W.1 Simplify radical expressions
- W.2 Simplify radical expressions with variables
- W.3 Simplify radical expressions involving fractions
- W.4 Multiply radical expressions
- W.5 Add and subtract radical expressions
- W.6 Simplify radical expressions using the distributive property
- W.7 Divide radical expressions
- W.8 Simplify radical expressions: mixed review