Year 7 maths skills ()« back to years

The skills below are 100% aligned with Australian and New Zealand school curriculum and up to 90%+ with common core maths. 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,

  1. Easy: A star will be taken away if you get 3 consecutive wrong answers.
  2. Medium: A star will be taken away if you get 2 consecutive wrong answers.
  3. 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

  1. Number theory

    1. Prime and composite numbers
    2. Prime factorisation
    3. Multiplicative inverses (Reciprocals)
    4. Divisibility rules
    5. Lowest common multiple (LCM)
    6. Highest common factor (HCF)
    7. HCF and LCM: real world scenarios
    8. Classify numbers
    9. Scientific notation

  2. Integers

    1. Introduction to integers
    2. Integers on number lines
    3. Plotting integers on horizontal and vertical number lines
    4. Comparing and ordering integers
    5. Absolute value and opposite integers
    6. Integer inequalities with absolute values

  3. Operations with integers

    1. Rules for adding and subtracting positive and negative numbers: Skill builder
    2. Adding and subtracting integers using counters
    3. Adding and subtracting integers: Practice
    4. Complete addition and subtraction sentences with integers
    5. Add and subtract integers: real world scenarios
    6. Integer multiplication and division rules: Skill builder
    7. Multiplying and dividing integers
    8. Completing multiplication and division sentences with integers
    9. Evaluating numerical expressions involving integers

  4. Decimals

    1. Decimal numbers: The roots
    2. Comparing and ordering decimals
    3. Decimals on number lines
    4. Rounding decimals

  5. Operations with decimals

    1. Adding and subtracting decimals
    2. Adding and subtracting decimals: real world scenarios
    3. Multiplying decimals
    4. Multiplying decimals and whole numbers: real world scenarios
    5. Divide decimals
    6. Dividing decimals by whole numbers: real world scenarios
    7. Estimating sums, differences and products of decimals
    8. Adding, subtracting, multiplying and dividing decimals: real world scenarios
    9. Inequalities with decimals: Solve and compare
    10. Maps distance with decimals
    11. Evaluating numerical expressions involving decimals

  6. Fractions and mixed numbers

    1. Revisiting fractions: real world scenarios
    2. Equivalent fractions
    3. Simplifying fractions
    4. Fractions: real world scenarios with graphs and tables
    5. Lowest common denominator (LCD)
    6. Sorting fractions
    7. Comparing fractions: real world scenarios
    8. Converting between mixed numbers and improper fractions
    9. Comparing mixed numbers and improper fractions
    10. Rounding mixed numbers

  7. Operations with fractions

    1. Adding and subtracting fractions with like denominator
    2. Adding and subtracting fractions with like denominators: real world scenarios
    3. Adding fractions with unlike denominators
    4. Subtracting fractions with unlike denominators
    5. Adding and subtracting fractions with unlike denominators: real world scenarios
    6. Adding and subtracting mixed numbers
    7. Adding and subtracting mixed numbers: real world scenarios
    8. Inequalities with addition and subtraction of fractions and mixed numbers
    9. Estimating sums and differences of mixed numbers
    10. Multiplying fractions and whole numbers
    11. Multiplying fractions and whole numbers: real world scenarios **
    12. Multiplying two fractions using models
    13. Multiplying fractions
    14. Multiplying fractions: real world scenarios
    15. Multiplying three or more fractions and whole numbers
    16. Dividinge whole numbers by unit fractions using models
    17. Reciprocals
    18. Dividing whole numbers and unit fractions
    19. Dividing fractions
    20. Dividing fractions: real world scenarios
    21. Estimating products and quotients of fractions and mixed numbers
    22. Operations on fractions and mixed numbers: real world scenarios
    23. Evaluating numerical expressions involving fractions

  8. Rational numbers

    1. Identifying rational numbers
    2. Converting between decimals and fractions or mixed numbers
    3. Absolute value of a rational number
    4. Comparing rational numbers
    5. Ordering rational numbers
    6. Adding and subtracting rational numbers
    7. Addition and subtraction rules
    8. Multiplying and dividing rational numbers
    9. Multiplication and division rules

Working with numbers

  1. Exponents and square roots

    1. Exponents: The basics
    2. Evaluating exponents
    3. Solving equations with variable exponents
    4. Exponents with decimal and fractional bases
    5. Exponents with negative bases
    6. Evaluating numerical expressions involving exponents
    7. Square roots of perfect squares
    8. Estimating square roots

  2. Ratios, rates and proportions

    1. Understanding ratios
    2. Identifying equivalent ratios
    3. Writing an equivalent ratio
    4. Equivalent ratios: real world scenarios
    5. Unit rates
    6. Comparing ratios: real world scenarios
    7. Scale drawings: real world scenarios
    8. Do the ratios form a proportion?
    9. Do the ratios form a proportion: real world scenarios
    10. Solving proportions
    11. Solving proportions: real world scenarios
    12. Estimating population size using proportions
    13. What is the rate of change
    14. Constant rate of change (gradient)

  3. Proportional relationships

    1. Find the constant of proportionality in a table
    2. Write equations for proportional relationships from tables
    3. Identify proportional relationships by graphing
    4. Find the constant of proportionality from a graph
    5. Write equations for proportional relationships from graphs
    6. Identify proportional relationships
    7. Interpret graphs of proportional relationships
    8. Write and solve equations for proportional relationships

  4. Percents

    1. What percentage is shown?
    2. Converting between percents, fractions and decimals
    3. Comparing percents to fractions and decimals
    4. Estimating percents of numbers
    5. Percents of numbers and money amounts
    6. Percents of numbers: real world scenarios
    7. Solving percent equations
    8. Solving percent equations: real world scenarios

  5. Consumer maths

    1. Which coupon saves you more?
    2. Price lists
    3. Unit prices
    4. Unit prices: Find the total price for a purchase
    5. Percent of a number: GST, discounts, savings
    6. Find the percentage: discount and mark-up
    7. Sale prices: Find the original price
    8. Multi step problems with percents, sales, commissions etc
    9. Simple interest
    10. Compound interest
    11. Add, subtract, multiply and divide money amounts: real world scenarios

  6. Problem solving and estimation

    1. Estimate to solve real world scenarios
    2. Multi-step real world scenarios
    3. Guess-and-check real world scenarios
    4. Use Venn diagrams to solve problems
    5. Find the number of each type of coin
    6. Elapsed time real world scenarios

  7. Units of measurement

    1. Estimating metric measurements
    2. Comparing and converting metric units
    3. Metric mixed units
    4. Convert between square metres and hectares
    5. Convert square and cubic units of length
    6. Convert between cubic metres and litres
    7. Precision

  8. Coordinate plane

    1. Coordinate plane refresher
    2. Quadrants and axes
    3. Follow the directions on a coordinate plane
    4. Calculate distance between two points (no slopes)

  9. Number sequences

    1. Identifying arithmetic and geometric sequences
    2. Arithmetic sequences
    3. Geometric sequences
    4. Mixed number sequences
    5. Number sequences: real world scenarios
    6. Evaluating variable expressions for number sequences
    7. Writing variable expressions for arithmetic sequences (times, addition and subtraction)

  10. Expressions and properties

    1. Writing variable expressions
    2. Writing variable expressions: real world scenarios
    3. Evaluating linear expressions
    4. Evaluating multiple variable expressions
    5. Evaluating expressions with absolute values
    6. Evaluating nonlinear expressions
    7. Identifying terms and coefficients
    8. Sorting factors of expressions (drag/drop)
    9. Properties of addition and multiplication
    10. Multiplying using the distributive property
    11. Solving equations using properties
    12. Writing equivalent expressions using properties
    13. Adding and subtracting like terms
    14. Adding, subtracting and multiplying linear expressions
    15. Linear expressions factors
    16. Identifying equivalent linear expressions

Working with numbers

  1. One-variable equations

    1. Which value of x satisfies an equation?
    2. Translate words to an equation
    3. Solve equations using algebra tiles
    4. Translating diagrams to equations and solve them
    5. Solving one step equations
    6. Solving two step equations
    7. Complete the solution for an equation
    8. Solve equations: real world scenarios

  2. Two-variable equations

    1. Does (x, y) satisfy the equation?
    2. Identifying independent and dependent variables
    3. Solving real world scenarios involving two variable equations
    4. Tables for a two-variable relationship (fill in the blanks)
    5. Writing a two variable equation
    6. Identifying the graph of an equation
    7. Plotting a two variable equation on the graph
    8. Interpreting a graph with real world scenarios
    9. Writing an equation from a graph using a table

  3. Two-dimensional figures

    1. Classifying polygons
    2. Parts of a circle
    3. Angle name, measure and classification
    4. Classifying triangles
    5. Identifying trapeziums
    6. Classifying quadrilaterals
    7. Plotting triangles and quadrilaterals
    8. Finding missing angles in triangles and quadrilaterals
    9. Interior angles of polygons
    10. Intervals, lines and rays
    11. Lines that are parallel, perpendicular and intersecting
    12. Drawing parallel lines
    13. Drawing the midpoint or perpendicular bisector of a segment
    14. Draw a perpendicular line
    15. Identifying complementary, supplementary, vertical, adjacent and congruent angles
    16. Finding measures of complementary, supplementary, vertical and adjacent angles
    17. Transversal of parallel lines
    18. Finding lengths and measures of bisected line segments and angles

  4. Three-dimensional figures

    1. Bases of three-dimensional figures
    2. Nets of three-dimensional figures
    3. Front, back, side and top views of 3D objects

  5. Transformations and congruence

    1. Symmetry
    2. Identify reflections, rotations and translations
    3. Translations: graph the image
    4. Translations: find the coordinates
    5. Reflections: graph the image
    6. Reflections: find the coordinates
    7. Rotations: graph the image
    8. Rotations: find the coordinates
    9. Similar and congruent figures
    10. Side lengths and angle measures of congruent figures
    11. Congruence statements and corresponding parts
    12. Side lengths and angle measures of similar figures
    13. Similar figures and indirect measurement

  6. Geometric measurement

    1. Find perimeter of various shapes
    2. Find area of rectangles and parallelograms
    3. Find area of triangles
    4. Fing area between two shapes
    5. Find area and perimeter: guess and check
    6. Finding volume of rectangular prisms

  7. Data and graphs

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

  8. Statistics

    1. Mean, median, mode and range
    2. Mean, median, mode and range with charts
    3. Find the missing number in Mean, median, mode and range calculations
    4. Changes in mean, median, mode and range
    5. Sampling: representative, random and biased samples

  9. Probability

    1. Probability of simple events
    2. Identify independent and dependent events
    3. Probability of opposite, mutually exclusive and overlapping events
    4. Experimental probability
    5. Making predictions
    6. Compound events: find the number of outcomes
    7. Counting principle (also called the counting rule)

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