Printable Order of Operations (PEMDAS) Worksheet Generator
Solve multi-step expressions following PEMDAS rules with mixed operations (+, -, ×, ÷), grouping parentheses, and exponents. Generate unlimited practice worksheets with answer keys for home or school.
Tip: in the print dialog, choose 'Save as PDF' to keep a copy.
Order of Operations (PEMDAS)
Evaluate each expression following the order of operations (PEMDAS/BODMAS). Show your work.
Order of Operations (PEMDAS) — Answer Key
Evaluate each expression following the order of operations (PEMDAS/BODMAS). Show your work.
Answer each card and click Check or press Enter
Ways to Use This Sheet
Immediate desk work following direct instruction to verify individual concept mastery.
A clean, predictable practice sheet students can complete at home without adult coaching.
Quiet, independent drill ready in a binder for students who wrap up assignments ahead of schedule.
How to Use This Worksheet Generator
In the Classroom
Order of operations is the universal grammar of mathematics. When arithmetic expressions contain multiple operation signs, evaluating them strictly from left to right yields conflicting results. The standard order of operations—frequently remembered in North American classrooms as PEMDAS (Parentheses, Exponents, Multiplication & Division, Addition & Subtraction) or internationally as BODMAS (Brackets, Orders, Division & Multiplication, Addition & Subtraction)—provides an unambiguous rulebook ensuring that every student and mathematician calculates the exact same value. In the classroom, emphasize that multiplication and division share equal priority and are evaluated strictly from left to right, as are addition and subtraction. Use our Easy preset for foundational 3-term operations, Standard for full PEMDAS with parentheses, and Challenge for expressions with powers and nested groupings.
At Home & Homeschool
At home, multi-step math can easily cause frustration when children drop signs or rush through steps mentally. Help your child build the habit of writing their work like an inverted pyramid: underline the operation they are computing in each step, write its result directly below, and bring down all remaining numbers and symbols. Every problem on our worksheets is mathematically constructed to guarantee whole-number results without fractional intermediate remainders, and our step-by-step answer keys make checking homework straightforward and reassuring.
Step-by-Step Worked Example
- 1
Parentheses First
Look inside the grouping parentheses (12 + 8) and calculate the sum: 12 + 8 = 20. The expression becomes: 4 × 3² - 20 ÷ 4.
- 2
Exponents Next
Evaluate any powers. Calculate 3² (3 × 3 = 9). The expression becomes: 4 × 9 - 20 ÷ 4.
- 3
Multiplication & Division (Left to Right)
Scan left to right for multiplication and division. First evaluate 4 × 9 = 36. The expression becomes: 36 - 20 ÷ 4.
- 4
Next Division in Sequence
Complete the remaining division: 20 ÷ 4 = 5. The expression becomes: 36 - 5.
- 5
Addition & Subtraction (Left to Right)
Perform the final subtraction: 36 - 5 = 31.
Difficulty Progression: Easy vs. Standard vs. Challenge
| Preset Level | Target Grade | Configuration & Range | Skill Focus & Mastery |
|---|---|---|---|
| Easy | Grades 4–5 | 12 problems, 3 terms, operations (+, -, ×), foundational order without exponents | Evaluating multiplication before addition and subtraction; reading left-to-right priority. |
| Standard | Grades 5–6 | 18 problems, 3–4 terms, full PEMDAS (+, -, ×, ÷) with grouping parentheses | Prioritizing grouped expressions, executing exact division, and tracking multi-step reductions. |
| Challenge | Grades 6–8 | 18 problems, multi-step expressions including integer exponents (powers of 2 and 3) | Integrating exponents into complex nested groupings and multi-operation equations. |
Frequently Asked Questions
Do multiplication and division have the same priority in PEMDAS?
Yes. Multiplication does NOT take precedence over division. In the PEMDAS acronym, Multiplication and Division form a single tied operational group evaluated strictly from left to right in whatever order they appear in the expression. The same tied rule applies to Addition and Subtraction.
Why are all worksheet problems guaranteed to have whole-number results?
In elementary and middle school arithmetic practice, fractional remainders in the middle of a multi-step PEMDAS problem frequently distract students from the core procedural objective: internalizing operational hierarchy. Every problem on our worksheets is mathematically constructed so that all divisions divide evenly and intermediate steps remain whole, non-negative numbers.
How should students write their work on these practice sheets?
Encourage students to use the "funnel" or "inverted pyramid" format: copy the original expression, underline the single operation being performed in the current step, write its result on the line directly below while bringing down all remaining terms and symbols, and continue until a single numerical answer remains.
Understanding Your Unique Worksheet Code
Every worksheet generated on this site includes a unique 6-character alphanumeric Worksheet Code (such as 432VPD) printed in the header and footer.
This code represents the mathematical pseudo-random seed used to create your exact problem set. If you ever need to reprint the identical worksheet for absent students or retrieve the matching answer key at a later date, simply enter the code into the Worksheet Code box and click Load Code. All problems will instantly regenerate in identical order.