Math With Mr DJ

Grade 5 · Operations & Algebraic Thinking · 5.OA.A.1

Order of Operations and Grouping Symbols Worksheets

Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus lesson slides you can edit. No sign-up needed.

First page of the order of operations and grouping symbols practice worksheet Open the practice worksheet

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Watch: How to Solve Order of Operations Using PEMDAS
Key idea

× and ÷ are one rank, left to right. + and − are one rank, left to right. Brackets mean “this is one number”, innermost first.

Sample problems

  1. Evaluate 5 + 2 × 8.
  2. Evaluate (5 + 2) × 8.
  3. Evaluate 30 − 12 ÷ 4.
  4. Evaluate 40 ÷ (2 + 3).

Common mistakes to watch for

  • Answered 35 for both. 35 is the right value of the bracketed expression, so the child read the unbracketed one left to right — the brackets were not misunderstood, they were unnecessary to the method being used.
  • Answered 11 — the ladder reading of PEMDAS, doing A before S. 11 is the correct value of 20 − (6 + 3), so the child inserted brackets nobody wrote.
  • Answered 2 — M done before D. 2 is the correct value of 24 ÷ (6 × 2), again brackets nobody wrote.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

  1. Teach with the slides (about 15 minutes), or watch the video together.
  2. Practice with the worksheet. Questions climb from fluency to application to reasoning.
  3. Check understanding with the exit ticket.
  4. Mark with the answer key — each answer shows the steps and the most likely mistake.

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