Grade 7 Order of Operations Practice — Printable Worksheet Maker
In Grade 7 the order of operations is less about learning the rule and more about applying it quickly and accurately, because it underpins solving equations and evaluating expressions. This is also where powers join in: Level 1 adds a single square or cube to a short expression, Level 2 buries a power in a longer chain that can bring in exact division, and Level 3 squares a bracket for the full multi-step challenge — with every division worked out to land exactly, so the arithmetic never distracts from the procedure. Drop to Level 1 or 2 for a quick warm-up or targeted review.
One of the sub-skill cards runs the other way round. Find the first wrong step hands over a worked solution that already has a mistake in it, and asks which line is the first to break the rule and what belongs there instead — every line on it is arithmetically true, so the error is in the order the steps were taken and nowhere else. It is the same card the Grade 4, 5 and 6 sheets carry, drawn here from this grade's wider numbers — on its second and third levels every expression carries a number from 13 to 20, which no Grade 6 expression does — and it is worth setting for a student who can already get the right answer but cannot yet say where somebody else went wrong.
Adjust the question count with the stepper, tick the answer key for a separate marked page, and print or save straight to PDF. The same link always rebuilds the same sheet, which makes timed re-tests genuinely comparable, and the easy-read font option helps students who lose their place in dense, bracket-heavy lines.
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Order of Operations · Grade 7
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Grade 7 · 2 pages · A4More Grade 7 order of operations skills
Each one generates a different kind of question, with its own three levels and answer key.
- Powers in ExpressionsSquares and cubes are worked out before multiplying, dividing, adding or subtracting.
- Brackets FirstWork out what is inside the brackets before you do anything else.
- Brackets Inside BracketsMore than one set of brackets — start with the innermost pair and work out.
- Two OperationsNo brackets: decide whether to multiply, divide, add or subtract first.
- Insert the BracketsPut one pair of brackets into each expression so the answer shown is correct.
- Evaluate with a VariablePut the given value in place of the letter, then use the order of operations.
- Which Step Comes FirstName the part you would work out first — no need to finish the sum.
- Find the first wrong step (HOTQ)A worked answer with one wrong step in it. Find the first step that breaks the rule and write the step that belongs there.
What each level generates
Grade 7 powers in expressions — the exact skill behind each difficulty setting, straight from the generator.
- Level 1A power and one more step
- Level 2A power in a longer chain
- Level 3A squared bracket
Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →
Why Grade 7 keeps drilling the order of operations
By Grade 7 the rule itself is old news, but it becomes load-bearing: solving multi-step equations, substituting into formulas, and evaluating expressions all depend on getting the order right every time. This is also the year powers enter the sequence — a power must be resolved after the brackets but before the multiplication and division around it. The goal is fluent, error-free evaluation under mild time pressure, not just correct answers given unlimited time.
Level 3 generates the multi-step expressions — a bracket that is squared, so the bracket resolves before the power does — that best rehearse this, and Level 2 is where exact division turns up alongside a power. Every division is constructed to come out exactly, so a wrong answer points to a slip in the order or the arithmetic — never to a remainder the student was not meant to handle — which makes marking diagnostic rather than ambiguous.
Common Grade 7 slips and how to catch them
At this level errors are rarely conceptual; they are rushing errors. Watch for two in particular: collapsing a mixed × and ÷ chain in the wrong order, and starting the addition or subtraction before the bracket and the × or ÷ are fully resolved. Both tend to vanish when a student rewrites the expression on a new line after each completed step rather than trying to hold it all in their head.
Generate one fixed sheet (the shareable link keeps it identical), time it, then re-test with the same sheet a fortnight later to measure real improvement. For a fresh but equivalent challenge, Shuffle produces new problems at the same Level 3 setting, and switching to the Small font fits more of them on a single page for confident workers.
Where this goes next: order of operations in Grade 8
Grade 7 is the last grade of this topic, and that is a filing decision rather than a gap. By Grade 8 the rule itself is settled and the difficulty moves into the numbers it is applied to, so the Grade 8 sheets are built on signed numbers and are filed under Integers instead. The direct successor to this page is Order of Operations with Integers, at /worksheets/grade-8/integers/order-of-operations/ — the same brackets, powers and left-to-right rules, with negatives now inside the expression.
Two neighbouring Grade 8 sheets complete the set. Mixed Operations, at /worksheets/grade-8/integers/mixed-operations/, is this page's bracket-and-chain practice with signs attached, and Powers of Integers, at /worksheets/grade-8/integers/powers/, isolates the step students most often skip — working out (−4)² before anything around it, and telling it apart from −4². A student who is reliable on Level 3 here is ready for all three.
Frequently asked questions
▸What order of operations is expected in Grade 7?
Fast, accurate evaluation of multi-step, bracketed expressions that now include powers, because it underpins solving equations and substituting into formulas. Grade 7 builds on squares — evaluated before × ÷ and after brackets — and is about applying the whole order fluently rather than learning it for the first time.
▸Will the division always work out exactly?
Yes. Every problem is built so each division lands on a whole number, with no remainders, so a wrong answer signals a slip in the order or the arithmetic — not a division the student was never meant to attempt.
▸How is this different from the Grade 5 and 6 sheets?
The maths follows the same rule, but Grade 7 builds on powers — squares and cubes that must be evaluated after the brackets but before the multiplication and division — and leans on Level 3's multi-step expressions, expecting the speed and accuracy suited to pre-algebra rather than first exposure to the convention.
▸Can I make the problems easier to read?
Yes — switch on the easy-read font for cleaner numerals and more spacing, which helps students who lose their place in long bracketed lines. The Large font size also opens the expressions out, while Small fits more per page.
▸Can I get a fresh set with the same settings?
Press Shuffle. You get brand-new problems at the same grade, difficulty, and count, each with its own shareable link — handy for daily practice that never repeats.
▸Is there a Grade 8 order of operations or BODMAS worksheet?
Yes — filed under Integers rather than under this topic, because Grade 8 applies the same rule to signed numbers. Start with Order of Operations with Integers at /worksheets/grade-8/integers/order-of-operations/, then Mixed Operations and Powers of Integers at the same grade. The rule is identical — brackets, then powers, then × and ÷, then + and − — only the numbers change.