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 time-bound 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
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Number theory
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Integers
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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
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Decimals
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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
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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
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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
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Exponents and square roots
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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)
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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
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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
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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 mark-up
- 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
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Problem solving and estimation
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Units of measurement
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Coordinate plane
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Number sequences
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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
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One-variable equations
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Two-variable equations
- Does (x, y) satisfy the equation?
- Identifying independent and dependent variables
- Solving real world scenarios involving two variable equations
- Tables for a two-variable 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
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Two-dimensional 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
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Three-dimensional figures
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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
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Geometric measurement
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Data and graphs
- Interpret tables
- Interpret line plots
- Create line plots
- Interpret stem-and-leaf 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 box-and-whisker plots
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Statistics
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Probability