# 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

## Decimal numbers

## Operations with decimals

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

## Integers

## Operations with integers

- E.1Integer addition and subtraction rules
- E.2Add and subtract integers using counters
- E.3Add and subtract integers
- E.4Complete addition and subtraction sentences with integers
- E.5Add and subtract integers: word problems
- E.6Integer multiplication and division rules
- E.7Multiply and divide integers
- E.8Complete multiplication and division sentences with integers
- E.9Evaluate numerical expressions involving integers

## Fractions and mixed numbers

- F.1Equivalent fractions
- F.2Simplify fractions
- F.3Understanding fractions: word problems
- F.4Least 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

## 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 and proportions

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

## Percents

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

## Problem solving and estimation

## 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

## Measurement

## Data and graphs

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

## Geometry

- P.1Lines, intervals and rays
- P.2Parallel, perpendicular, intersecting
- P.3Name, measure and classify angles
- P.4Identify complementary, supplementary, vertical, adjacent and congruent angles
- P.5Find measures of complementary, supplementary, vertical and adjacent angles
- P.6Transversal of parallel lines
- P.7Classify triangles
- P.8Classify quadrilaterals
- P.9Find missing angles in triangles and quadrilaterals
- P.10Identify and classify polygons
- P.11Interior angles of polygons
- P.12Similar and congruent figures
- P.13Similar figures: side lengths and angle measures
- P.14Similar figures and indirect measurement
- P.15Congruent figures: side lengths and angle measures
- P.16Congruence statements and corresponding parts
- P.17Perimeter
- P.18Area of rectangles and parallelograms
- P.19Area of triangles
- P.20Area between two shapes
- P.21Area and perimeter: word problems
- P.22Parts of a circle
- P.23Find lengths and measures of bisected lines and angles
- P.24Front, side and top view
- P.25Names and bases of 3-dimensional figures
- P.26Nets of 3-dimensional figures
- P.27Volume

## Transformations

## Coordinate graphs

## Number sequences

## Variable expressions

## Single-variable equations

## Linear functions

- V.1Identify proportional relationships
- V.2Find the constant of proportionality from a graph
- V.3Does (x, y) satisfy the equation?
- V.4Complete a table for a two-variable relationship
- V.5Write a two-variable equation
- V.6Interpret a graph: word problems
- V.7Identify the graph of an equation
- V.8Graph a two-variable equation
- V.9Solve word problems involving two-variable equations