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!
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 with like denominators
- G.2Add and subtract fractions with like denominators: word problems
- G.3Add fractions with unlike denominators
- G.4Subtract fractions with unlike denominators
- G.5Add and subtract fractions with unlike denominators: word problems
- G.6Add and subtract mixed numbers
- G.7Add and subtract mixed numbers: word problems
- G.8Inequalities with addition and subtraction of fractions and mixed numbers
- G.9Estimate sums and differences of mixed numbers
- G.10Multiply fractions and whole numbers
- G.11Multiply fractions and whole numbers: word problems
- G.12Multiply two fractions using models
- G.13Multiply fractions
- G.14Multiply fractions: word problems
- G.15Multiply three or more fractions and whole numbers
- G.16Divide whole numbers by unit fractions using models
- G.17Reciprocals
- G.18Divide whole numbers and unit fractions
- G.19Divide fractions
- G.20Divide fractions: word problems
- G.21Estimate products and quotients of fractions and mixed numbers
- G.22Add, subtract, multiply and divide fractions and mixed numbers: word problems
- G.23Evaluate 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 and divide rational numbers
- H.9Apply multiplication and division rules
Exponents and square roots
Ratios, rates and proportions
- J.1Understanding ratios
- J.2Equivalent ratios
- J.3Equivalent ratios: word problems
- J.4Unit rates
- J.5Compare ratios: word problems
- J.6Scale drawings: word problems
- J.7Do the ratios form a proportion?
- J.8Do the ratios form a proportion: word problems
- J.9Solve proportions
- J.10Solve proportions: word problems
- J.11Estimate population size using proportions
- J.12Rate of change
- J.13Constant 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.1Which is the better coupon?
- M.2Add, subtract, multiply and divide money amounts: word problems
- M.3Price lists
- M.4Unit prices
- M.5Unit prices: find the total price
- M.6Percent of a number: GST, discount and more
- M.7Find the percent: discount and mark-up
- M.8Sale prices: find the original price
- M.9Multi-step problems with percents
- M.10Simple interest
- M.11Compound interest
Problem solving and estimation
Units of measurement
Coordinate plane
Number 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.9Distributive 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.3Classify triangles
- U.4Classify quadrilaterals
- U.5Find missing angles in triangles and quadrilaterals
- U.6Interior angles of polygons
- U.7Lines, intervals and rays
- U.8Parallel, perpendicular and intersecting lines
- U.9Identify complementary, supplementary, vertical, adjacent and congruent angles
- U.10Find measures of complementary, supplementary, vertical and adjacent angles
- U.11Transversal of parallel lines
- U.12Find lengths and measures of bisected lines and angles
- U.13Parts of a circle
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.9Similar and congruent figures
- V.10Side lengths and angle measures of congruent figures
- V.11Congruence statements and corresponding parts
- V.12Side lengths and angle measures of similar figures
- V.13Similar figures and indirect measurement
Three-dimensional figures
Geometric measurement
Data and graphs
- Y.1Interpret tables
- Y.2Interpret line plots
- Y.3Create line plots
- Y.4Create and interpret line plots with fractions
- Y.5Interpret stem-and-leaf plots
- Y.6Interpret bar graphs
- Y.7Create bar graphs
- Y.8Interpret histograms
- Y.9Create histograms
- Y.10Create frequency charts
- Y.11Interpret circle graphs
- Y.12Circle graphs and central angles
- Y.13Interpret line graphs
- Y.14Create line graphs
- Y.15Interpret box-and-whisker plots
- Y.16Scatter plots
- Y.17Choose the best type of graph