# Year 7 maths

Here is a list of all of the maths skills students learn in year 7! 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!

## Whole numbers

## Multiplication

## Division

## Exponents and square roots

## Number theory

## Decimals

## Add and subtract decimals

## Multiply and divide decimals

- H.1Multiply a decimal by a one-digit whole number
- H.2Multiply a decimal by a multi-digit whole number
- H.3Multiply decimals and whole numbers: word problems
- H.4Multiply two decimals using grids
- H.5Multiply decimals
- H.6Estimate products of decimal numbers
- H.7Inequalities with decimal multiplication
- H.8Divide decimals by whole numbers
- H.9Divide decimals by whole numbers: word problems
- H.10Multiply and divide decimals by powers of ten
- H.11Division with decimal quotients
- H.12Inequalities with decimal division

## Fractions and mixed numbers

- I.1Fractions and mixed numbers review
- I.2Equivalent fractions review
- I.3Simplify fractions
- I.4Understanding fractions: word problems
- I.5Least common denominator
- I.6Compare fractions with like and unlike denominators
- I.7Compare fractions: word problems
- I.8Convert between improper fractions and mixed numbers
- I.9Convert between decimals and fractions or mixed numbers
- I.10Put a mix of decimals, fractions and mixed numbers in order

## Add and subtract fractions

- J.1Add and subtract fractions with like denominators
- J.2Add and subtract fractions with like denominators: word problems
- J.3Add and subtract fractions with unlike denominators
- J.4Add and subtract fractions with unlike denominators: word problems
- J.5Inequalities with addition and subtraction of like and unlike fractions
- J.6Add and subtract mixed numbers
- J.7Add and subtract mixed numbers: word problems
- J.8Estimate sums and differences of mixed numbers

## Multiply fractions

- K.1Fractions of whole numbers I
- K.2Fractions of whole numbers II
- K.3Fractions of a number: word problems
- K.4Estimate products of fractions and whole numbers
- K.5Multiply two fractions using models
- K.6Multiply two fractions
- K.7Multiply fractions: word problems
- K.8Multiply three or more fractions and whole numbers
- K.9Estimate products of fractions, whole numbers and mixed numbers

## Operations with integers

- M.1Add integers using counters
- M.2Add integers
- M.3Subtract integers using counters
- M.4Subtract integers
- M.5Add and subtract integers: find the sign
- M.6Add and subtract integers: input/output tables
- M.7Add three or more integers
- M.8Multiply integers: find the sign
- M.9Multiply integers
- M.10Divide integers: find the sign
- M.11Divide integers

## Mixed operations

- N.1Add, subtract, multiply or divide two whole numbers
- N.2Add, subtract, multiply or divide two whole numbers: word problems
- N.3Perform multiple operations with whole numbers
- N.4Add, subtract, multiply or divide two decimals
- N.5Add, subtract, multiply or divide two decimals: word problems
- N.6Perform multiple operations with decimals
- N.7Add, subtract or multiply two fractions
- N.8Add, subtract or multiply two fractions: word problems
- N.9Add, subtract, multiply or divide two integers
- N.10Perform multiple operations with integers

## Rational numbers

## Problem solving and estimation

## Ratios, proportions and percents

- Q.1Write a ratio to describe objects in a picture
- Q.2Ratio tables
- Q.3Ratios: word problems
- Q.4Equivalent ratios
- Q.5Compare ratios: word problems
- Q.6Proportions
- Q.7Unit rates and equivalent rates
- Q.8Scale drawings
- Q.9What percentage is illustrated?
- Q.10Convert between percents, fractions and decimals
- Q.11Compare percents to each other and to fractions
- Q.12Compare percents and fractions: word problems
- Q.13Percents of numbers and money amounts
- Q.14Percents of numbers: word problems
- Q.15Find what percent one number is of another
- Q.16Find what percent one number is of another: word problems

## Measurement

- R.1Estimate metric measurements
- R.2Convert and compare metric units
- R.3Metric mixed units
- R.4Convert square and cubic units of length
- R.5Convert between cubic metres and litres
- R.6Working with temperatures above and below zero
- R.7Estimate imperial measurements
- R.8Convert and compare imperial units
- R.9Imperial mixed units
- R.10Convert between metric and imperial units
- R.11Precision

## Money

## Consumer maths

## Time

## Coordinate plane

## Expressions and properties

- W.1Write variable expressions
- W.2Write variable expressions: word problems
- W.3Evaluate variable expressions with whole numbers
- W.4Evaluate multi-variable expressions
- W.5Evaluate variable expressions with decimals
- W.6Identify terms and coefficients
- W.7Properties of addition
- W.8Properties of multiplication
- W.9Solve for a variable using properties of multiplication
- W.10Add and subtract like terms
- W.11Identify equivalent expressions

## One-variable equations

- X.1Which x satisfies an equation?
- X.2Write an equation from words
- X.3Model and solve equations using algebra tiles
- X.4Write and solve equations that represent diagrams
- X.5Solve one-step equations with whole numbers
- X.6Solve one-step equations with decimals
- X.7Solve one-step equations: word problems
- X.8Solve two-step equations
- X.9Solve equations involving like terms
- X.10Solve equations involving integers

## Two-variable equations

- Y.1Does (x, y) satisfy an equation?
- Y.2Identify independent and dependent variables
- Y.3Solve word problems involving two-variable equations
- Y.4Complete a table for a two-variable relationship
- Y.5Write a two-variable equation
- Y.6Identify the graph of an equation
- Y.7Graph a two-variable equation
- Y.8Interpret a graph: word problems

## Geometry

- Z.1Lines, line segments and rays
- Z.2Review of 2- and 3-dimensional figures
- Z.3Angle review: measure and classify
- Z.4Estimate angle measurements
- Z.5Name angles
- Z.6Complementary and supplementary angles
- Z.7Transversal of parallel lines
- Z.8Triangle review
- Z.9Classify quadrilaterals
- Z.10Find missing angles and side lengths in triangles and quadrilaterals
- Z.11Sums of angles in polygons
- Z.12Parts of a circle
- Z.13Central angles of circles
- Z.14Similar and congruent figures
- Z.15Find side lengths of similar figures
- Z.16Reflection, rotation and translation
- Z.17Translations: graph the image
- Z.18Reflections: graph the image
- Z.19Rotations: graph the image
- Z.20Symmetry
- Z.21Perimeter
- Z.22Area of figures made of unit squares
- Z.23Area of squares and rectangles
- Z.24Area of triangles
- Z.25Area of parallelograms and trapeziums
- Z.26Area of compound figures
- Z.27Area between two rectangles
- Z.28Area between two triangles
- Z.29Area between two circles
- Z.30Area and perimeter of figures on grids
- Z.31Area and perimeter: word problems
- Z.32Rectangles: relationship between perimeter and area
- Z.33Compare area and perimeter of two figures
- Z.34Identify polyhedra and count faces, edges and vertices
- Z.35Which figure is being described?
- Z.36Front, side and top view
- Z.37Nets of 3-dimensional figures
- Z.38Volume of figures made of unit cubes
- Z.39Volume and surface area of cubes and rectangular prisms
- Z.40Volume and surface area of triangular prisms

## Constructions

## Data and graphs

- BB.1Interpret pictographs
- BB.2Create pictographs
- BB.3Stem-and-leaf plots
- BB.4Interpret line plots
- BB.5Create line plots
- BB.6Create frequency tables
- BB.7Interpret bar graphs
- BB.8Create bar graphs
- BB.9Interpret double bar graphs
- BB.10Create double bar graphs
- BB.11Interpret histograms
- BB.12Create histograms
- BB.13Pie charts with fractions
- BB.14Interpret line graphs
- BB.15Create line graphs
- BB.16Interpret double line graphs
- BB.17Create double line graphs
- BB.18Choose the best type of graph