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Order of Operations Worksheets
Build an order of operations worksheet pitched at one rung of the ladder: two operations, then brackets, then indices, then nested grouping symbols. Every question leaves room to rewrite the expression line by line, so you can see where a Year 7 student went wrong. Print it with the answer key.
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What's Included in an Order of Operations Worksheet?
🔥Differentiated Questions
Set the difficulty by the shape of the expression, not by bigger numbers. Mild sheets stay at two operations and one set of brackets. Medium adds indices and division that has to be read left to right. Spicy runs nested brackets and a fraction bar over a whole expression.
🌍 Engaging Puzzles
Puzzle questions hide the rule inside something worth solving: a scoreboard total, a shopping bill, a target number to hit by inserting brackets in one place. Students argue about where the brackets go.
💡Problem Solving Questions
Problem solving questions give the answer and ask which step broke. A student reads a worked solution where all the multiplication was done before any division, finds the line that goes wrong, and writes the correct expression underneath it.
Space for Working
Practice Questions
Each expression sits on its own line with blank rows beneath it, so a student rewrites the whole expression after every step instead of squeezing the working into a margin.
Grouping of Students
Engaging Worksheet
One sheet, three levels, so the room sorts itself. Students still adding before multiplying stay on the two-operation set. Students who have brackets secure move to nested grouping symbols and expressions written over a fraction bar.
Easy Editing
Enabling & Extending
Change any question after it generates. Ask for the same expression with negative numbers inside the brackets, swap a bracket for a fraction bar, or add a harder final row for the students who finish early.
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What is covered in an order of operations worksheet?
BODMAS, BIDMAS and PEMDAS Are the Same Rule
BODMAS, BIDMAS and PEMDAS are three mnemonics for one convention, and a staffroom will use all three. Brackets first. Then indices. Then multiplication and division, taken left to right as equals, which is the part every mnemonic hides. Then addition and subtraction, also left to right. In the Australian Curriculum Version 9 this lands in Year 6, where students find unknown values in numerical equations involving brackets and combinations of arithmetic operations (AC9M6A02).
Where the Ladder Breaks: Left to Right, and the Fraction Bar
Four errors account for most of the red pen. A student does all the multiplication before any division, so 24 ÷ 6 × 2 comes out as 2 instead of 8. A student ignores left to right in the addition and subtraction row. A student treats the fraction bar as plain division rather than a grouping symbol. And a student drops a bracket while copying the line down, then solves a different question. Each sheet targets one of them.
What Changes Between Year 6 and Year 9
Year 6 sheets stay with whole numbers and one set of brackets. Year 7 moves to expressions built from constants, operations and brackets (AC9M7A02), with fractions and decimals in the mix. Year 8 puts negative numbers inside the brackets (AC9M8N04) and indices into the second row. By Year 9 the exponent laws sit inside the same expressions (AC9M9A01). Pick the rung, generate the sheet, print it with the answer key, or browse the rest of the worksheet library.
Teachers save hours with this order of operations worksheet