# 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

## 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
- 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

## 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 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

## Consumer maths

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

## Geometry

- M.1Lines, line segments and rays
- M.2Parallel, perpendicular, intersecting
- M.3Name, measure and classify angles
- M.4Estimate angle measurements
- M.5Identify complementary, supplementary, vertical, adjacent and congruent angles
- M.6Find measures of complementary, supplementary, vertical and adjacent angles
- M.7Transversal of parallel lines
- M.8Classify triangles
- M.9Classify quadrilaterals
- M.10Find missing angles in triangles and quadrilaterals
- M.11Identify and classify polygons
- M.12Interior angles of polygons
- M.13Similar and congruent figures
- M.14Similar figures: side lengths and angle measures
- M.15Similar figures and indirect measurement
- M.16Congruent figures: side lengths and angle measures
- M.17Congruence statements and corresponding parts
- M.18Perimeter
- M.19Rectangles: relationship between perimeter and area
- M.20Area of rectangles and parallelograms
- M.21Area of triangles and trapeziums
- M.22Area between two shapes
- M.23Area and perimeter: word problems
- M.24Find lengths and measures of bisected lines and angles
- M.25Front, side and top view
- M.26Names and bases of 3-dimensional figures
- M.27Nets of 3-dimensional figures
- M.28Surface area
- M.29Volume
- M.30Perimeter, area and volume: changes in scale

## Transformations

- N.1Identify reflections, rotations and translations
- N.2Translations: graph the image
- N.3Translations: find the coordinates
- N.4Reflections: graph the image
- N.5Reflections: find the coordinates
- N.6Rotations: graph the image
- N.7Rotations: find the coordinates
- N.8Dilations: graph the image
- N.9Dilations: find the coordinates
- N.10Dilations: scale factor and classification
- N.11Symmetry

## Coordinate plane

## Data and graphs

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

## Problem solving and estimation

## Measurement

## Patterns and sequences

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

## Variable expressions

## Single-variable equations

## Linear functions

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