Order of Operations Worksheet Generator — Free Printable PEMDAS/BODMAS Worksheets
Pick a grade (4–9), generate a fresh set of order-of-operations problems every time, show or hide the answer key, and print or save as a PDF. Free order of operations worksheets with answers, for grade 4, 5, 6, 7, 8, 9, and class 5–9.
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Order of Operations Worksheet
How to Use the Order of Operations Worksheet Generator
This tool builds a brand-new, correctly-solved order of operations worksheet every time you click "Generate," with no repeats and no manual answer-checking required. Here's exactly how to use it, from picking a grade to printing the final page.
- Pick a grade or class level. Choose from Grade 4 / Class 4 up through Grade 9 in the dropdown. Each level uses a different mix of numbers, brackets, exponents, and negative numbers, so the difficulty actually matches the grade — a Grade 4 worksheet won't suddenly throw in negative exponents, and a Grade 9 worksheet won't stay too easy.
- Choose how many problems you want. Pick 6, 10, 12, 16, or 20 problems per worksheet, depending on whether you need a quick warm-up, a full homework page, or a longer test-style sheet.
- Decide whether to show the answer key. Leave "Show answer key" unchecked to print a clean, answer-free worksheet for students, or check it to print (or save as PDF) a version with a complete answer key on its own page — perfect for teachers, parents checking homework, or self-study.
- Click "Generate new worksheet." A fresh set of problems appears instantly in the preview, each one built and solved correctly behind the scenes using real order-of-operations rules — not random numbers with a guessed answer.
- Pick your paper size. Choose A4 or Letter, portrait or landscape, to match your printer or classroom's usual paper.
- Print or save as a PDF. Click "Print / Save as PDF." Your browser's print dialog opens with the worksheet already laid out correctly. Print it directly, or choose "Save as PDF" in that same dialog to download a free PDF copy — no account, email, or watermark needed.
- Need a different set? Click "Generate new worksheet" again for an entirely new set of problems at the same grade and length — handy for giving two students different versions of "the same" worksheet, or for extra practice sets.
Basic Information
"Order of operations" is the agreed set of rules that tells you which part of a math expression to calculate first when a problem mixes several operations — addition, subtraction, multiplication, division, exponents, and parentheses/brackets — in a single line. Without a shared rule, an expression like 3 + 4 × 2 could be read two different ways (giving 14 or 11), so schools around the world teach a fixed order so that everyone gets the same answer. In the United States this is usually taught with the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). In the UK, India, and many other countries it's taught as BODMAS or BIDMAS (Brackets, Orders/Indices, Division and Multiplication, Addition and Subtraction). Both acronyms describe exactly the same underlying rule — brackets first, then powers, then multiplication/division worked left to right, then addition/subtraction worked left to right — they're just different regional names for it, which is why this generator supports both sets of terminology.
Order of operations worksheets are one of the most commonly assigned practice sheets in upper elementary and middle school math, because the rule itself is simple to state but easy to apply incorrectly without repeated practice — students often multiply before checking for brackets, or work left to right ignoring exponents entirely. A well-made worksheet mixes several operation types in each problem so students can't get by with just one shortcut; that's exactly what this generator does, building genuinely mixed problems rather than isolated single-operation questions.
This tool covers the full range of commonly searched grade levels — order of operations worksheet grade 4, grade 5, grade 6, grade 7, grade 7 pdf, grade 8, grade 9, for class 5, and 6th grade — along with the two most requested formats, order of operations worksheet pdf and order of operations worksheet with answers (including with answers pdf). Instead of hunting for the one static worksheet that happens to match your exact grade and needs, this generator produces a correctly matched, correctly solved worksheet for any of those combinations, instantly, and lets you regenerate a new version any time you need more practice — similar in spirit to the practical, no-frills exam-style worksheets popularized by resources like Corbett Maths, but generated fresh in your browser instead of downloaded as a fixed file.
| Level | Numbers used | Includes |
|---|---|---|
| Grade 4 / Class 4 | 1–12 | +, −, ×, ÷, one bracket |
| Grade 5 / Class 5 | 1–15 | +, −, ×, ÷, brackets |
| Grade 6 / 6th grade | 1–20 | +, −, ×, ÷, brackets, exponents (² ³) |
| Grade 7 | 1–20 | All of the above, plus negative numbers |
| Grade 8 | 2–25 | Larger numbers, longer expressions |
| Grade 9 | 2–30 | Hardest mix, most steps per problem |
🎲 A new worksheet every time
No fixed, repeated worksheet — every click generates a fresh, unique set of correctly-solved problems.
✅ Real, verified answers
Every answer is computed the moment the problem is built, using true order-of-operations logic, not guesswork.
🔑 Optional answer key
Toggle the answer key on for teachers and parents, or off for a clean student copy.
🎓 Six grade levels
From simple Grade 4 addition-and-brackets problems up to Grade 9's multi-step, negative-number challenges.
🖨 Print or save as PDF
A4 or Letter, portrait or landscape, ready for a classroom, homework folder, or homeschool binder.
📐 PEMDAS & BODMAS reference
An optional quick-reference box explains both naming conventions right on the worksheet.
Examples
Here's what a generated problem looks like at each grade level, along with its automatically verified answer:
- Grade 4:
(4 + 1 × 10) ÷ 2 − 4 = 3— one bracket, whole numbers, no negatives or exponents. - Grade 5:
3 + 8 ÷ 4 + 2 = 7— mixes addition and exact division, still whole-number friendly. - Grade 6:
(17 − 1) − 14 ÷ 2 ÷ 7 = 15— introduces a chained division and a bracketed subtraction. - Grade 7:
10^3 + 12 − (2 − 15 + 5) = 1020— adds an exponent and a bracket that produces a negative value inside. - Grade 8:
4 + (9 − 4) + 22 + 14 = 45— longer chain of addition terms with a bracket mixed in. - Grade 9:
29^2 × (−17) + 21 ÷ 7 + 5 ÷ 5 = −14293— combines an exponent, a negative multiplier, and multiple division terms in one line.
Notice how the difficulty climbs step by step: brackets are introduced early, exponents appear from Grade 6 onward, and negative numbers only enter from Grade 7 onward — matching how most math curricula actually sequence these skills, rather than throwing every operation at every grade.
Step-by-step worked example
It helps to see the full solving process written out once, rather than just a final answer. Take the Grade 7 example above: 10^3 + 12 − (2 − 15 + 5).
- Brackets first: work out
(2 − 15 + 5)from left to right —2 − 15 = −13, then−13 + 5 = −8. The expression becomes10^3 + 12 − (−8). - Exponents next:
10^3 = 1000. The expression becomes1000 + 12 − (−8). - Addition and subtraction, left to right: subtracting a negative number is the same as adding it, so
1000 + 12 − (−8) = 1000 + 12 + 8 = 1020.
That step-by-step habit — always resolving the innermost brackets first, then any exponents, then working strictly left to right through the remaining multiplication/division and addition/subtraction — is the entire skill this worksheet generator is built to reinforce through repetition.
Common mistakes this worksheet helps fix
Most order-of-operations errors come from a small handful of habits, and seeing them named often helps students catch themselves. The most frequent one is working strictly left to right through an entire expression and ignoring multiplication or division that appears later in the line — for example, calculating 3 + 4 × 2 as 7 × 2 = 14 instead of correctly doing the multiplication first to get 3 + 8 = 11. A second common mistake is forgetting that multiplication and division are done together, in the order they appear, rather than always doing every multiplication before every division. A third is treating an exponent as though it applies to the whole bracketed expression in front of it, rather than only to the single number or bracket it's directly attached to. And a fourth, especially once negative numbers are introduced in Grade 7 and up, is mishandling a "subtract a negative" step, like the − (−8) in the worked example above — students often forget that this becomes addition. Because this generator produces a large, varied set of fresh problems on demand, it's well suited to targeted repetition of exactly these situations until the habit sticks, rather than relying on a single static worksheet that only shows each mistake pattern once or twice.
Tips & Ideas
- Daily warm-up: Generate a fresh 6-problem worksheet each morning as a five-minute bell-ringer at the start of math class.
- Differentiated practice: Give struggling students a Grade 4 or 5 sheet and advanced students a Grade 8 or 9 sheet at the same time, so everyone is practicing the same skill at their own level.
- Two versions, same difficulty: Click "Generate new worksheet" twice at the same grade to make two different-but-equal-difficulty worksheets — useful for reducing copying between neighboring desks during a quiz.
- Homework with a built-in answer key: Turn on "Show answer key" and print the two-page version (problems, then a separate answer key page) so parents can check homework without doing the math themselves.
- Timed practice drills: Print a 16- or 20-problem sheet with the answer key hidden, set a timer, and use it as a timed fluency drill for order-of-operations speed.
- Substitute-teacher-ready: Because a new worksheet can be generated and printed in under a minute, this tool works well as an easy, no-prep activity to leave for a substitute teacher.
- Test or quiz prep: Generate several Grade 7–9 worksheets in a row for exam-style review before a unit test, mixing exponents, brackets, and negative numbers just like a real test would.
- Tutoring sessions: Tutors can generate a worksheet live during a session, matched exactly to the student's current grade level, without needing to bring pre-printed materials.
- Explain the acronym first: Keep the built-in PEMDAS/BODMAS reference box turned on for the first few worksheets a student uses, then turn it off once the rule has been memorized.
- Mix with other PuzzlePrintHub tools: Pair a math worksheet with a puzzle or an "All About Me" sheet for a varied, multi-activity homework packet.
Frequently Asked Questions
Is this order of operations worksheet free to download as a PDF?
Yes — generate a worksheet, then use Print / Save as PDF for a free PDF download, no sign-up needed.
Does it include an answer key?
Yes, turn on "Show answer key" before printing to include a full, correctly computed answer key on a separate page.
Is there a version for grade 7, including a PDF?
Yes, select Grade 7 from the dropdown, then use Print / Save as PDF for a grade 7 PDF worksheet, with or without answers.
What about grade 8 and grade 9?
Yes, both are available — Grade 8 and Grade 9 use larger numbers and longer expressions for extra challenge.
Is there a worksheet for class 5 or 6th grade specifically?
Yes, "Grade 5 / Class 5" and "Grade 6 / 6th grade" are both included as dropdown options, using the same naming students and teachers commonly search for.
Does every generated worksheet have a correct answer key?
Yes, each problem's answer is calculated the moment the problem is built using genuine order-of-operations logic, not a pre-written answer that might not match.
Can I generate a new worksheet if I don't like the current one?
Yes, click "Generate new worksheet" any time for a completely new, unique set of problems at the same grade and length.
Does this follow PEMDAS or BODMAS?
Both — they describe the same underlying rule under different regional names, and the built-in reference box explains both.
Can I print in A4 or Letter size?
Yes, choose A4 or Letter, portrait or landscape, before printing or saving as a PDF.
Do I need an account or payment?
No, the generator is completely free, with no account, email, or payment required.
Why is my worksheet different from a friend's "same" grade worksheet?
Every worksheet is freshly generated, so no two are identical — that's intentional, so classmates or students can't simply copy each other's answers.
What operations and symbols does it use?
Addition, subtraction, multiplication (shown as ×), division (shown as ÷, always chosen to divide evenly), brackets, and, from Grade 6 up, exponents shown with a caret, like 4^2.
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