Order of operations is one of those topics that students think they understand until the test. The moment an exponent shows up inside parentheses next to a division problem, the wheels come off. The only real fix is varied, repeated practice — and this free Order of Operations Worksheet Generator makes it easy to build exactly the practice set your class needs, download it as a clean PDF, and hand it out in minutes.
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Order of Operations Generator
Design · Customize · Download
Ten Problem Types Across Three Difficulty Levels
Every problem on this generator is built mathematically — the expression is constructed so the answer is always a clean integer, with no messy decimals and no negative results. You never get a broken question or a blank slot on the worksheet.
Basic problems are the right starting point for any PEMDAS introduction. Addition and Multiplication problems like 3 + 4 × 2 require students to apply multiplication before addition — the most fundamental order-of-operations decision. Parentheses First problems like (3 + 4) × 2 show what changes when grouping symbols enter the picture, making it easy to contrast directly with the previous type. Exponents in Expression problems like 4² + 8 × 5 add the next layer. All Four Operations problems combine addition, subtraction, multiplication, and division in a single expression, which is where students first have to think through the full order from left to right.
Medium problems require students to combine multiple rules in sequence. Parentheses with Exponent problems like (2 + 3)² - 4 require evaluating the parentheses first, then applying the exponent — a reliable source of confusion when students evaluate the base and the exponent in the wrong order. Nested Parentheses problems like 2 × (3 + (5 - 2)) add an inner group that must be resolved before the outer one. Fraction Bar as Grouping renders the expression as a proper stacked fraction — the numerator and denominator each contain an addition problem, and students must evaluate both groups before dividing. Multiple Exponents problems include two separate exponential terms that must each be evaluated before any addition or subtraction.
Advanced problems combine the most demanding scenarios. Exponent inside Parens problems like 3 × (2³ - 4) + 5 require evaluating an exponent that is nested inside parentheses, then using that result as part of the bracketed expression. Multi-step Complex problems like 2 × (3 + 4²) - 8 ÷ 2 chain multiple rules across a single long expression — exactly the kind of problem that shows up on standardized tests.
PEMDAS and BODMAS Both Supported
The notation selector in Panel 1 switches the instruction line between PEMDAS and BODMAS — same problems, different label. If your school or district uses one over the other, or if you teach international students, one click updates every part of the worksheet and PDF.
Clean Math Formatting Throughout
Every exponent on this worksheet is rendered as a proper raised superscript — not x^2 or x**2. Fraction bar problems display as true stacked fractions with a vinculum line, the way they appear in a textbook. The preview on screen and the downloaded PDF match each other exactly. What you see is what you print.
Answer Key on a Separate Page
When you set the Answer Key to Yes, all answers appear on a dedicated final page in a compact four-column layout — not scattered underneath each question. Download once. Print the answer key page for yourself, print the question pages for your students. No cutting, no folding, no separate document to keep track of.
Building Your Worksheet
Select your problem types in Panel 2 — 10 types organized by Basic, Medium, and Advanced difficulty. Check only the ones you need. For a first day introducing PEMDAS, just Basic. For a review before a test, Select All.
Set how many questions and how much row spacing in Panel 3. The Show Rule Label toggle adds a small italic label below each question identifying the rule being practiced — useful for scaffolded practice or when students are still learning to recognize which rule applies.
Panel 4 controls orientation, font size, and workspace. Portrait with no workspace fits 16 questions cleanly on one page. Landscape with a large workspace gives students room to show every step of their work, which matters when you are grading for process rather than just the final answer.
These worksheets are free to use, print, and distribute for educational purposes. However, this tool and its generated materials may not be used for commercial purposes.
More Free Math Tools
- Properties of Exponents Worksheet Generator — 10 rule types including negative exponents and mixed variables
- Multi-Step Equations Worksheet Generator — 10 types, three difficulty levels, optional difficulty badges
- Adding and Subtracting Polynomials Generators — stacked fraction notation, coefficient distribution, passive language types
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