# Grade 7 maths

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

## 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.4Complete addition and subtraction sentences with integers
- C.5Add and subtract integers: word problems
- C.6Integer multiplication and division rules
- C.7Multiply and divide integers
- C.8Complete multiplication and division sentences with integers
- C.9Evaluate numerical expressions involving integers

## Decimals

## Operations with decimals

- E.1Add and subtract decimals
- E.2Add and subtract decimals: word problems
- E.3Multiply decimals
- E.4Multiply decimals and whole numbers: word problems
- E.5Divide decimals
- E.6Divide decimals by whole numbers: word problems
- E.7Estimate sums, differences and products of decimals
- E.8Add, subtract, multiply and divide decimals: word problems
- E.9Multi-step inequalities with decimals
- E.10Maps with decimal distances
- E.11Evaluate numerical expressions involving decimals

## Fractions and mixed numbers

- F.1Equivalent fractions
- F.2Write fractions in lowest terms
- F.3Understanding fractions: word problems
- F.4Lowest common denominator
- F.5Compare and order fractions
- F.6Compare fractions: word problems
- F.7Convert between mixed numbers and improper fractions
- F.8Compare mixed numbers and improper fractions
- F.9Round mixed numbers

## Operations with fractions

- G.1Add and subtract fractions
- G.2Add and subtract fractions: word problems
- G.3Add and subtract mixed numbers
- G.4Add and subtract mixed numbers: word problems
- G.5Inequalities with addition and subtraction of fractions and mixed numbers
- G.6Estimate sums and differences of mixed numbers
- G.7Multiply fractions and whole numbers
- G.8Multiply fractions and whole numbers: word problems
- G.9Multiply two fractions using models
- G.10Multiply fractions
- G.11Multiply fractions: word problems
- G.12Multiply three or more fractions and whole numbers
- G.13Multiply mixed numbers
- G.14Divide whole numbers by unit fractions using models
- G.15Reciprocals
- G.16Divide whole numbers and unit fractions
- G.17Estimate products of fractions and mixed numbers
- G.18Add, subtract and multiply fractions and mixed numbers: word problems
- G.19Evaluate numerical expressions involving fractions

## Rational numbers

- H.1Identify rational numbers
- H.2Convert between decimals and fractions or mixed numbers
- H.3Absolute value of rational numbers
- H.4Compare rational numbers
- H.5Put rational numbers in order
- H.6Add and subtract rational numbers
- H.7Apply addition and subtraction rules
- H.8Multiply rational numbers
- H.9Apply multiplication and division rules

## Exponents and square roots

## Ratios, rates and proportions

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

## Proportional relationships

- K.1Find the constant of proportionality from a table
- K.2Identify graphs of proportional relationships
- K.3Find the constant of proportionality from a graph
- K.4Write equations for proportional relationships
- K.5Graph proportional relationships
- K.6Identify proportional relationships
- K.7Find the constant of proportionality: word problems
- K.8Solve problems involving proportional relationships

## Percents

- L.1What percentage is illustrated?
- L.2Convert between percents, fractions and decimals
- L.3Compare percents to fractions and decimals
- L.4Estimate percents of numbers
- L.5Percents of numbers and money amounts
- L.6Percents of numbers: word problems
- L.7Solve percent equations
- L.8Solve percent equations: word problems

## Consumer maths

- M.1Add, subtract, multiply and divide money amounts: word problems
- M.2Price lists
- M.3Unit prices
- M.4Unit prices: find the total price
- M.5Percent of a number: VAT, discount and more
- M.6Find the percent: discount and mark-up
- M.7Sale prices: find the original price
- M.8Multi-step problems with percents
- M.9Simple interest
- M.10Compound interest

## Problem solving and estimation

## Units of measurement

## Coordinate plane

## Patterns and sequences

- Q.1Find the next shape in a repeating pattern
- Q.2Complete a repeating pattern
- Q.3Make a repeating pattern
- Q.4Find the next row in a growing pattern of shapes
- Q.5Identify arithmetic and geometric sequences
- Q.6Arithmetic sequences
- Q.7Geometric sequences
- Q.8Number sequences: mixed review
- Q.9Number sequences: word problems
- Q.10Evaluate variable expressions for number sequences
- Q.11Write variable expressions for arithmetic sequences

## Expressions and properties

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

## One-variable equations

## Two-variable equations

- T.1Does (x, y) satisfy the equation?
- T.2Identify independent and dependent variables
- T.3Solve word problems involving two-variable equations
- T.4Complete a table for a two-variable relationship
- T.5Write a two-variable equation
- T.6Identify the graph of an equation
- T.7Graph a two-variable equation
- T.8Interpret a graph: word problems
- T.9Write an equation from a graph using a table

## Two-dimensional figures

- U.1Identify and classify polygons
- U.2Name, measure and classify angles
- U.3Estimate angle measurements
- U.4Classify triangles
- U.5Classify quadrilaterals
- U.6Graph triangles and quadrilaterals
- U.7Find missing angles in triangles and quadrilaterals
- U.8Interior angles of polygons
- U.9Lines, line segments and rays
- U.10Parallel, perpendicular and intersecting lines
- U.11Identify complementary, supplementary, vertical, adjacent and congruent angles
- U.12Find measures of complementary, supplementary, vertical and adjacent angles
- U.13Transversal of parallel lines
- U.14Find lengths and measures of bisected lines and angles

## Transformations and congruence

- V.1Symmetry
- V.2Identify reflections, rotations and translations
- V.3Translations: graph the image
- V.4Translations: find the coordinates
- V.5Reflections: graph the image
- V.6Reflections: find the coordinates
- V.7Rotations: graph the image
- V.8Rotations: find the coordinates
- V.9Dilations: graph the image
- V.10Dilations: find the coordinates
- V.11Dilations: scale factor and classification
- V.12Similar and congruent figures
- V.13Side lengths and angle measures of congruent figures
- V.14Congruence statements and corresponding parts
- V.15Side lengths and angle measures of similar figures
- V.16Similar figures and indirect measurement

## Constructions

## Three-dimensional figures

## Geometric measurement

## Data and graphs

- Z.1Interpret tables
- Z.2Interpret line plots
- Z.3Create line plots
- Z.4Create and interpret line plots with fractions
- Z.5Interpret stem-and-leaf plots
- Z.6Interpret bar graphs
- Z.7Create bar graphs
- Z.8Interpret histograms
- Z.9Create histograms
- Z.10Create frequency charts
- Z.11Interpret pie charts
- Z.12Pie charts and central angles
- Z.13Interpret line graphs
- Z.14Create line graphs
- Z.15Interpret box-and-whisker plots
- Z.16Scatter plots
- Z.17Choose the best type of graph