Year 5 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 5. If you see any issue, please do report it by clicking the red button at bottom right of the window. Let the games begin.


Working with numbers

  1. Mighty numbers and Place values

    1. Word names for numbers
    2. Roman numerals
    3. Rounding
    4. Converting between place values
    5. Comparing numbers up to millions
    6. Even or odd: with arithmetic rules
    7. Place value mastery (problem solving)
  2. Addition and subtraction

    1. Adding and subtracting whole numbers up to millions
    2. Adding and subtracting whole numbers: real world problems
    3. Completing addition and subtraction sentences
    4. Filling in the missing digits
    5. Which numbers produce a particular sum or difference
    6. Properties of addition
    7. Inequalities with addition and subtraction
    8. Estimating sums and differences of whole numbers
    9. Estimating sums and differences: real world problems
  3. Multiplication

    1. Multiplication by one-digit numbers
    2. Solving multiplication patterns over increasing place values
    3. Multiplication with numbers ending in zeroes
    4. Properties of multiplication
    5. Which numbers will produce a particular product
    6. Estimating products
    7. Box multiplication method
    8. Lattice multiplication method
    9. Complete the missing steps: Multiplication by two-digit numbers
    10. Multiplying a 2 digit number with a 2 digit number
    11. Multiplying a 2 digit number by larger numbers
    12. Multiplying three or more numbers (1-2 digit numbers)
    13. Inequalities with multiplication
  4. Multiplication Real world problems

    1. Multiplying by single digit numbers: real world problems
    2. Multiplying numbers ending in zeroes: real world problems
    3. Multiplying by double digit numbers: real world problems
    4. Estimating products: real world problems
    5. Multiplying three or more numbers: real world problems
  5. Division

    1. Division facts to 12
    2. Dividing by single digit numbers
    3. Estimating quotients
    4. Solving division patterns over increasing place values
    5. Dividing numbers ending in zeroes
    6. Which numbers will produce a particular quotient
  6. Division Real world problems

    1. Division facts to 12: real world problems
    2. Dividing by one-digit numbers: real world problems
    3. Dividing by single digit numbers and interpreting remainders
    4. Estimating quotients: real world problems
    5. Dividing numbers ending in zeroes: real world problems
    6. Divisibility rules: real world problems
  7. Number theory

    1. Prime and composite numbers
    2. Prime factorisation
    3. Divisibility rules
    4. Highest common factor (HCF)
    5. Lowest common multiple (LCM)
  8. Decimals

    1. What decimal number does the figure represent?
    2. Model decimals and fractions
    3. Understanding decimals expressed in real worlds
    4. Place values in decimal numbers
    5. Converting decimals between standard and expanded form
    6. Equivalent decimal numbers
    7. Rounding decimals
    8. Decimal numbers on number lines
    9. Comparing decimal numbers on number lines
    10. Comparing decimal numbers
    11. Ordering decimal numbers
    12. Converting fractions to decimals
    13. Converting decimals to fractions
    14. Converting decimal number between standard and expanded form using fractions
    15. Comparing decimals and fractions on number lines
    16. Comparing decimals and fractions without number lines
    17. Putting decimals, fractions and mixed numbers in order

Working with decimals, fractions & money

  1. Add and subtract decimals

    1. Adding/subtracting decimal numbers
    2. Adding/Subtracting decimals: real world problems
    3. Choosing decimal numbers that will result in a specific sum or difference
    4. Completing the addition or subtraction sentences
    5. Inequalities with decimal addition and subtraction
    6. Rounding numbers to estimate sums and differences
  2. Multiply and divide decimals

    1. Estimating products of decimals
    2. Multiplying a decimal by a power of ten
    3. Multiplying decimals and whole numbers
    4. Multiplying decimals and whole numbers: real world problems
    5. Inequalities with decimal multiplication
    6. Dividing by powers of ten
    7. Decimal division patterns over increasing place values
  3. Fractions and mixed numbers

    1. Visualizing Fractions
    2. Fractions of a whole: real world problems
    3. Fractions of a group: real world problems
    4. Fractions on number lines
    5. Equivalent fractions
    6. Equivalent fractions patterns
    7. Simplifying fractions in lowest terms
    8. Mixed numbers
    9. Converting between improper fractions and mixed numbers
    10. Plot and compare fractions on number lines
    11. Comparing fractions and mixed numbers
    12. Ordering fractions
    13. Fractions of a number
    14. Fractions of a number: real world problems
    15. Arithmetic sequences with fractions
    16. Geometric sequences with fractions
    17. Rounding mixed numbers
  4. Add and subtract fractions

    1. Decomposing fractions different ways
    2. Adding and subtracting fractions with like denominators using number lines
    3. Adding and subtracting fractions with like denominators
    4. Adding and subtracting fractions with like denominators: real world problems
    5. Adding and subtracting mixed numbers with like denominators
    6. Adding and subtracting mixed numbers with like denominators: real world problems
    7. Adding up to 4 fractions with denominators of 10 and 100
    8. Adding three or more fractions
    9. Adding three or more fractions: real world problems
    10. Completing addition and subtraction sentences with fractions
    11. Inequalities with addition and subtraction of fractions
    12. Estimating sums and differences of mixed numbers
  5. Mixed operations

    1. Adding, subtracting, multiplying and dividing whole numbers
    2. Adding, subtracting, multiplying and dividing whole numbers: real world problems
    3. Adding, subtracting, multiplying and dividing decimals
    4. Adding, subtracting and multiplying decimals: real world problems
  6. Problem solving

    1. Multi-step real world problems
    2. Extra or missing information: real world problems
    3. Guess and check word problems
    4. Finding the order (age, tall etc)
    5. Using Venn diagrams to solve problems
  7. Money

    1. Adding and subtracting money amounts
    2. Adding and subtracting money: real world problems
    3. Multiplying money amounts: real world problems
    4. Multiplying money amounts with decimals: real world problems
    5. Dividing money amounts with decimals: real world problems
    6. Unit prices (division)
    7. Price lists
  8. Number sequences

    1. Arithmetic sequences with whole numbers
    2. Arithmetic sequences with decimal numbers
    3. Complete a number sequence using a defined rule
    4. Solve increasing number sequences
    5. Solve geometric number sequences
    6. Number sequences: real world problems
    7. Number sequences: mixed operations
  9. Coordinate plane

    1. Real life items on a coordinate plane
    2. Plotting points on a coordinate plane
    3. Using coordinate planes as maps
    4. Following directions on a coordinate plane

Algebra, time and Geometry

  1. Algebra

    1. Solving equations with addition
    2. Solving equations with subtraction
    3. Solving equations with multiplication
    4. Solving equations with division
  2. Data and graphs

    1. Reading a table
    2. Interpreting line graphs
    3. Creating line graphs
    4. Interpreting bar graphs
    5. Creating bar graphs
    6. Interpreting pictographs
    7. Creating pictographs
    8. Interpreting histograms
    9. Creating histograms
    10. Interpreting line plots
    11. Creating line plots
    12. Frequency charts
    13. Stem-and-leaf plots
    14. Circle graphs
    15. Choosing the best type of graph
  3. Probability and statistics

    1. Mean, median and mode
    2. Mean, median and mode: find the missing number
    3. Mean, median and mode on charts
    4. Understanding probability
    5. Finding the probability
    6. Combinations
    7. Making predictions
    8. Identifying independent and dependent events
  4. Time

    1. Converting time units
    2. Adding and subtracting mixed time units
    3. Find the elapsed time
    4. Finding start and end times: real world problems
    5. Converting between 12-hour and 24-hour time
    6. Time zones - 12-hour time (Australian TimeZones)
    7. Time zones - 24-hour time (Australian TimeZones)
    8. Schedules and timelines - 12-hour digital time
    9. Schedules/Timetables - 24 hour time
    10. Time patterns
  5. Units of measurement

    1. Choosing the more reasonable temperature
    2. Choosing the appropriate metric unit of measure
    3. Comparing and converting metric units of length
    4. Comparing and converting metric units of mass
    5. Comparing and converting metric units of volume
    6. Metric mixed unit conversions
    7. Converting between hectares and square metres
    8. Conversion between cubic centimetres and millilitres
  6. Two-dimensional figures

    1. Is the shape a polygon?
    2. Sides in polygons
    3. Regular and irregular polygons
    4. Parallel, perpendicular and intersecting lines
    5. Types of angles
    6. Using a protractor to measure the angles
    7. Classifying triangles
    8. Parallel sides in quadrilaterals
    9. Identifying parallelograms
    10. Identifying trapeziums
    11. Identifying rectangles
    12. Identifying rhombuses
    13. Classifying quadrilaterals
    14. Parts of a circle
  7. Symmetry and transformations

    1. Congruent vs Similar figures
    2. Rotational symmetry
    3. Lines of symmetry
    4. Reflection, rotation and translation
    5. Dilation (enlargement/reduction)
  8. Three dimensional shapes

    1. Identifying three-dimensional figures
    2. Count vertices, edges and faces
    3. Nets of three-dimensional figures
    4. Three dimensional objects viewed from different angles
  9. Geometric measurements

    1. Perimeter of rectangles
    2. Perimeter of polygons
    3. Area of squares and rectangles
    4. Area and perimeter of figures on grids
    5. Using area and perimeter to determine cost
    6. Volume