Order of operations with nested parenthesis

Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Encourage students to talk through their thinking as they work: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These order of operations worksheets work well as daily practice, homework, or a focused review activity.

These order of operations worksheets for 5th grade give students the structured, hands-on practice they need to build confidence and fluency. Students work through a range of problem formats, from visual models and diagrams to written equations and word problems, so they encounter order of operations from every angle. Each worksheet is designed to build on prior knowledge while introducing the level of challenge appropriate for 5th grade. Practicing order of operations at this stage strengthens the mathematical foundations that support more advanced concepts in later grades.

This worksheet is designed for 5th Grade students (Ages 10-11), aligned to Common Core standard 5.OA.A.1. It can also be used as review for early students at the next grade level or as an introduction for advanced students.

Yes. This worksheet works for homeschool, classroom, and tutoring settings. Print individual pages for targeted practice, or print the full set as a packet. Works great as a morning warm-up, independent center activity, or fast-finisher task.

The order of operations (PEMDAS/BODMAS) is a set of rules for evaluating expressions with multiple operations: parentheses first, then exponents, then multiplication and division left to right, then addition and subtraction left to right. It is formally introduced in fifth grade per CCSS 5.OA.A.1, which requires students to evaluate expressions using parentheses, brackets, and braces.

Start with expressions involving just two operation types (e.g., addition and multiplication) before adding parentheses. Use the PEMDAS acronym as a memory aid, but ensure students understand the logic behind the rules rather than just memorizing the acronym. Worksheets that build complexity gradually — from two operations to multi-step expressions — prevent overwhelm.

Common errors include evaluating left-to-right without respecting operation precedence (doing addition before multiplication), forgetting to evaluate expressions inside parentheses first, and treating multiplication and division as having a fixed order rather than left-to-right equivalence. Worksheets that include answer-checking exercises, where students identify errors in worked examples, are especially effective for building accuracy.