Year 7 maths skills ()« back to years
The skills below are aligned with common core maths and up to 90% with Australian and New Zealand school curriculum. Skills are organized into groups
and are ordered in a way we think would be useful. To master a skill, you will have to gain 10
stars
(In case of a classroom initiated timebound practise session, the time you can practise and the
skill level is determined by your teacher).
There are 3 levels to each skill,
 Easy: A star will be taken away if you get 3 consecutive wrong answers.
 Medium: A star will be taken away if you get 2 consecutive wrong answers.
 Hard: A star will be taken away on each wrong answer.
Most skills have multiple type of questions with varying difficulties. If you keep getting wrong
answers, system may give you the simplest of question to answer. Idea is to
have
you master these skills with a ground up approach.
There is very low probability of getting a question repeated.
If you get a question wrong, you can check how to solve a question correctly and try to get it
right
the next time.
All the best with your online maths practice for Year 7. If you see any issue,
please do report it by clicking the red button at bottom right of the window. Let the games
begin.
The numbers game

Number theory

Integers

Operations with integers
 Rules for adding and subtracting positive and negative numbers: Skill builder
 Adding and subtracting integers using counters
 Adding and subtracting integers: Practice
 Complete addition and subtraction sentences with integers
 Add and subtract integers: real world scenarios
 Integer multiplication and division rules: Skill builder
 Multiplying and dividing integers
 Completing multiplication and division sentences with integers
 Evaluating numerical expressions involving integers

Decimals

Operations with decimals
 Adding and subtracting decimals
 Adding and subtracting decimals: real world scenarios
 Multiplying decimals
 Multiplying decimals and whole numbers: real world scenarios
 Divide decimals
 Dividing decimals by whole numbers: real world scenarios
 Estimating sums, differences and products of decimals
 Adding, subtracting, multiplying and dividing decimals: real world scenarios
 Inequalities with decimals: Solve and compare
 Maps distance with decimals
 Evaluating numerical expressions involving decimals

Fractions and mixed numbers
 Revisiting fractions: real world scenarios
 Equivalent fractions
 Simplifying fractions
 Fractions: real world scenarios with graphs and tables
 Lowest common denominator (LCD)
 Sorting fractions
 Comparing fractions: real world scenarios
 Converting between mixed numbers and improper fractions
 Comparing mixed numbers and improper fractions
 Rounding mixed numbers

Operations with fractions
 Adding and subtracting fractions with like denominator
 Adding and subtracting fractions with like denominators: real world scenarios
 Adding fractions with unlike denominators
 Subtracting fractions with unlike denominators
 Adding and subtracting fractions with unlike denominators: real world scenarios
 Adding and subtracting mixed numbers
 Adding and subtracting mixed numbers: real world scenarios
 Inequalities with addition and subtraction of fractions and mixed numbers
 Estimating sums and differences of mixed numbers
 Multiplying fractions and whole numbers
 Multiplying fractions and whole numbers: real world scenarios **
 Multiplying two fractions using models
 Multiplying fractions
 Multiplying fractions: real world scenarios
 Multiplying three or more fractions and whole numbers
 Dividinge whole numbers by unit fractions using models
 Reciprocals
 Dividing whole numbers and unit fractions
 Dividing fractions
 Dividing fractions: real world scenarios
 Estimating products and quotients of fractions and mixed numbers
 Operations on fractions and mixed numbers: real world scenarios
 Evaluating numerical expressions involving fractions
Rational numbers
 Identifying rational numbers
 Converting between decimals and fractions or mixed numbers
 Absolute value of a rational number
 Comparing rational numbers
 Ordering rational numbers
 Adding and subtracting rational numbers
 Addition and subtraction rules
 Multiplying and dividing rational numbers
 Multiplication and division rules
Working with numbers

Exponents and square roots

Ratios, rates and proportions
 Understanding ratios
 Identifying equivalent ratios
 Writing an equivalent ratio
 Equivalent ratios: real world scenarios
 Unit rates
 Comparing ratios: real world scenarios
 Scale drawings: real world scenarios
 Do the ratios form a proportion?
 Do the ratios form a proportion: real world scenarios
 Solving proportions
 Solving proportions: real world scenarios
 Estimating population size using proportions
 What is the rate of change
 Constant rate of change (gradient)

Proportional relationships
 Find the constant of proportionality in a table
 Write equations for proportional relationships from tables
 Identify proportional relationships by graphing
 Find the constant of proportionality from a graph
 Write equations for proportional relationships from graphs
 Identify proportional relationships
 Interpret graphs of proportional relationships
 Write and solve equations for proportional relationships

Percents
 What percentage is shown?
 Converting between percents, fractions and decimals
 Comparing percents to fractions and decimals
 Estimating percents of numbers
 Percents of numbers and money amounts
 Percents of numbers: real world scenarios
 Solving percent equations
 Solving percent equations: real world scenarios

Consumer maths
 Which coupon saves you more?
 Price lists
 Unit prices
 Unit prices: Find the total price for a purchase
 Percent of a number: GST, discounts, savings
 Find the percentage: discount and markup
 Sale prices: Find the original price
 Multi step problems with percents, sales, commissions etc
 Simple interest
 Compound interest
 Add, subtract, multiply and divide money amounts: real world scenarios

Problem solving and estimation

Units of measurement

Coordinate plane

Number sequences

Expressions and properties
 Writing variable expressions
 Writing variable expressions: real world scenarios
 Evaluating linear expressions
 Evaluating multiple variable expressions
 Evaluating expressions with absolute values
 Evaluating nonlinear expressions
 Identifying terms and coefficients
 Sorting factors of expressions (drag/drop)
 Properties of addition and multiplication
 Multiplying using the distributive property
 Solving equations using properties
 Writing equivalent expressions using properties
 Adding and subtracting like terms
 Adding, subtracting and multiplying linear expressions
 Linear expressions factors
 Identifying equivalent linear expressions
Working with numbers

Onevariable equations

Twovariable equations
 Does (x, y) satisfy the equation?
 Identifying independent and dependent variables
 Solving real world scenarios involving two variable equations
 Tables for a twovariable relationship (fill in the blanks)
 Writing a two variable equation
 Identifying the graph of an equation
 Plotting a two variable equation on the graph
 Interpreting a graph with real world scenarios
 Writing an equation from a graph using a table

Twodimensional figures
 Classifying polygons
 Parts of a circle
 Angle name, measure and classification
 Classifying triangles
 Identifying trapeziums
 Classifying quadrilaterals
 Plotting triangles and quadrilaterals
 Finding missing angles in triangles and quadrilaterals
 Interior angles of polygons
 Intervals, lines and rays
 Lines that are parallel, perpendicular and intersecting
 Drawing parallel lines
 Drawing the midpoint or perpendicular bisector of a segment
 Draw a perpendicular line
 Identifying complementary, supplementary, vertical, adjacent and congruent angles
 Finding measures of complementary, supplementary, vertical and adjacent angles
 Transversal of parallel lines
 Finding lengths and measures of bisected line segments and angles

Threedimensional figures

Transformations and congruence
 Symmetry
 Identify reflections, rotations and translations
 Translations: graph the image
 Translations: find the coordinates
 Reflections: graph the image
 Reflections: find the coordinates
 Rotations: graph the image
 Rotations: find the coordinates
 Similar and congruent figures
 Side lengths and angle measures of congruent figures
 Congruence statements and corresponding parts
 Side lengths and angle measures of similar figures
 Similar figures and indirect measurement

Geometric measurement

Data and graphs
 Interpret tables
 Interpret line plots
 Create line plots
 Interpret stemandleaf plots
 Interpret bar graphs
 Create bar graphs
 Interpret histograms
 Create histograms
 Create frequency charts
 Interpret circle graphs
 Interpret line graphs
 Create line graphs
 Scatter plots
 Choose the best type of graph
 Circle graphs and central angles
 Interpret boxandwhisker plots

Statistics

Probability