Shark Learning
Grade 6/Order of Operations

Order of Operations: 4 Operations (6 Numbers)

Challenging 6-number equations with all 4 operations. Students must carefully apply the order of operations to solve these multi-step problems.
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Easy
1
10 questions
2
10 questions
Medium
1
10 questions
2
10 questions
Hard
1
10 questions
2
10 questions

Practice Questions

  1. (12 ÷ 4) x 5 + 8 - 2 x 3 = ?
    Show answer

    17

  2. 20 - (3 + 2) x 2 + 10 ÷ 2 = ?
    Show answer

    15

  3. 5 x (8 - 4) + 12 ÷ 3 - 6 = ?
    Show answer

    18

  4. (10 + 10) ÷ 5 + 4 x 3 - 2 = ?
    Show answer

    14

  5. 30 ÷ (2 + 3) x 4 - 5 + 2 = ?
    Show answer

    21

Teacher Resources
Teaching Notes

These are long problems. Ensure students have enough space to write out each step.

Vocabulary
Order of Operations: Rules for solving math problems.
Expression: Math problem with numbers and symbols.
Common Mistakes
  • Skipping steps or trying to do too much mentally.
  • Incorrect operation order
  • Parentheses ignored
  • Calculation errors
  • Working left-to-right too soon
Differentiation
SupportProvide graph paper to help align the numbers and steps.
ChallengeCreate a problem that results in a negative number (if they are ready for that concept, otherwise stick to whole numbers).
Discussion Questions
  • Why is there a specific order for operations?
  • What is the role of parentheses?
  • Can we solve these problems in a different order?
  • How does this apply to real-world calculations?
Extension Activities
  • Create your own problems.
  • Solve problems backwards.
  • Use different operations.
Parent Tip

Ask your child to explain the steps they took.

Learning Path
Skill Cluster

Number Sense & Algebraic Thinking

Estimated Time

30 minutes

Skills Practiced
Complex order of operations