Order of Operations

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    PEMDAS Practice!

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    Easy

    Nice warm-up

    Medium

    A bit trickier

    Hard

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    About This Game

    Master the order of operations (BODMAS/PEMDAS) through structured practice. Children learn why the sequence of calculations matters and apply brackets, division, multiplication, addition, and subtraction in the correct order. Essential preparation for secondary school maths.

    Top Tip

    Use the mnemonic BODMAS: Brackets, Orders, Division, Multiplication, Addition, Subtraction. Always work from left to right for operations of the same priority.

    Skills You Are Practising
    • BODMAS/PEMDAS rules
    • Multi-step calculations
    • Bracket evaluation
    • Operation priority
    • Mathematical reasoning
    In the real world

    Brackets-first thinking is how spreadsheets, coding, and multi-step recipes stay consistent — order matters.

    For parents & teachers
    • Use the mnemonic BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) to help remember the order
    • Stress the importance of brackets: putting brackets around part of an expression changes the answer
    • Practice reading expressions aloud before calculating: 'Three plus four multiplied by two' — the word 'multiplied by' should be done before the addition
    • Show real examples of why the rules matter: spreadsheet formulas, calculators, and computer programs all follow BODMAS

    Who it suits: Order of operations games are most appropriate for Grades 5-7 (ages 10-13). These are typically introduced in Grade 5-6 and practised extensively in Grade 7 before secondary school. Students who find this difficult should first ensure they are fully fluent in each individual operation at the appropriate difficulty level.

    Australian Curriculum v9.0

    This game practises these content descriptions. Tap a code to see its full wording and other games for it.

    • AC9M6A02 (Year 6 Mathematics) find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations
    • AC9M7A02 (Year 7 Mathematics) formulate algebraic expressions using constants, variables, operations and brackets

    Find games for any curriculum code

    About Order of Operations

    Master the order of operations (BODMAS/PEMDAS) through structured practice. Children learn why the sequence of calculations matters and apply brackets, division, multiplication, addition, and subtraction in the correct order. Essential preparation for secondary school maths.

    Skills Practised

    • •BODMAS/PEMDAS rules
    • •Multi-step calculations
    • •Bracket evaluation
    • •Operation priority
    • •Mathematical reasoning

    How to Play

    Read each multi-operation expression carefully, apply the correct order of operations, and select the right answer. Remember: Brackets first, then multiplication and division, then addition and subtraction.

    Top Tip

    Use the mnemonic BODMAS: Brackets, Orders, Division, Multiplication, Addition, Subtraction. Always work from left to right for operations of the same priority.

    In the real world

    Order of operations is not just a rule to memorise — it is the shared language that makes mathematical expressions unambiguous. Without it, 2 + 3 × 4 could equal either 20 or 14 depending on which operation you do first. The agreed convention (multiplication before addition) ensures everyone gets the same answer. Mastering this in primary school is essential preparation for secondary maths, science, and computing.

    Who Should Play This?

    Order of operations games are most appropriate for Grades 5-7 (ages 10-13). These are typically introduced in Grade 5-6 and practised extensively in Grade 7 before secondary school. Students who find this difficult should first ensure they are fully fluent in each individual operation at the appropriate difficulty level.

    Tips for Parents and Teachers

    • •Use the mnemonic BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) to help remember the order
    • •Stress the importance of brackets: putting brackets around part of an expression changes the answer
    • •Practice reading expressions aloud before calculating: 'Three plus four multiplied by two' — the word 'multiplied by' should be done before the addition
    • •Show real examples of why the rules matter: spreadsheet formulas, calculators, and computer programs all follow BODMAS

    Common Difficulties

    The most common mistake is working strictly left to right, regardless of operation type (calculating 2+3×4 as (2+3)×4=20 instead of 2+(3×4)=14). A second common error is forgetting that multiplication and division are equal priority and should be evaluated left to right when they appear together. Encourage children to underline or circle the operation that should be done first before starting any calculation.