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Input Output Pattern Rules

Practice input-output arithmetic pattern rules with Grade 3 maze questions and answer keys.

Aligned to CCSS.Math.Content.3.OA.D.9. This page loads a playable maze, star scoring, a print-friendly worksheet, and an answer key.

Level quick facts

  • Grade: 3
  • Skill: Use addition and multiplication rules to find missing outputs.
  • Standard: 3.OA.D.9
  • Game mode: Gate maze for arithmetic patterns
  • Estimated time: 4-7 minutes
  • Success signal: Reach the finish with most gates correct; 3 stars means the student is ready for the next level.
  • Next step: Continue to Multiplication Row Relationships.

Common mistake to watch: Students may answer the next term correctly but not state the rule.

What this level covers

Use addition and multiplication rules to find missing outputs. It supports 3.OA.D.9 by turning the standard into a playable maze path and matching printable practice.

Students identify arithmetic patterns and explain them using properties of operations.

Gate questions

  1. Rule: multiply by 6. Input 3 gives output ?
  2. Pattern: 9, 13, ?, 21, 25. What number is missing?
  3. The ×7 row shows 21, 28, 35, 42, ?. What comes next?
  4. Rule: add 4. Input 8 gives output ?
  5. Pattern: 18, 25, ?, 39, 46. What number is missing?

Extra practice

  1. Rule: multiply by 6. Input 7 gives output ?
  2. Pattern: 19, 25, ?, 37, 43. What number is missing?
  3. The ×3 row shows 9, 12, 15, 18, ?. What comes next?
  4. Rule: add 4. Input 9 gives output ?
  5. Pattern: 14, 21, ?, 35, 42. What number is missing?
  6. The ×7 row shows 14, 21, 28, 35, ?. What comes next?
  7. Rule: multiply by 4. Input 10 gives output ?
  8. Pattern: 7, 15, ?, 31, 39. What number is missing?

Printable worksheet / 3.OA.D.9

Level 4: Input Output Pattern Rules

Identify arithmetic patterns, including addition-table and multiplication-table patterns, and explain them using properties of operations.

kmaze.com
S F 1 2 3 4 5

Gate Questions

  1. Rule: multiply by 6. Input 3 gives output ?
  2. Pattern: 9, 13, ?, 21, 25. What number is missing?
  3. The ×7 row shows 21, 28, 35, 42, ?. What comes next?
  4. Rule: add 4. Input 8 gives output ?
  5. Pattern: 18, 25, ?, 39, 46. What number is missing?

Extra Practice

  1. Rule: multiply by 6. Input 7 gives output ?
  2. Pattern: 19, 25, ?, 37, 43. What number is missing?
  3. The ×3 row shows 9, 12, 15, 18, ?. What comes next?
  4. Rule: add 4. Input 9 gives output ?
  5. Pattern: 14, 21, ?, 35, 42. What number is missing?
  6. The ×7 row shows 14, 21, 28, 35, ?. What comes next?
  7. Rule: multiply by 4. Input 10 gives output ?
  8. Pattern: 7, 15, ?, 31, 39. What number is missing?

Standard

CCSS.Math.Content.3.OA.D.9

Student worksheet page

Teacher copy / 3.OA.D.9

Level 4: Answer Key

Identify arithmetic patterns, including addition-table and multiplication-table patterns, and explain them using properties of operations.

kmaze.com

Answer Key

  1. Gate 1: 18
  2. Gate 2: 17
  3. Gate 3: 49
  4. Gate 4: 12
  5. Gate 5: 32

Extra Practice Answers

  1. Practice 1: 42
  2. Practice 2: 31
  3. Practice 3: 21
  4. Practice 4: 13
  5. Practice 5: 28
  6. Practice 6: 42
  7. Practice 7: 40
  8. Practice 8: 23

Standard

CCSS.Math.Content.3.OA.D.9

Teacher answer key page

Continue this learning path

All 3.OA.D.9 levels

  1. Addition Table Patterns
  2. Multiplication Table Patterns
  3. Even and Odd Product Patterns
  4. Input Output Pattern Rules
  5. Multiplication Row Relationships
  6. Explain the Pattern
  7. Mixed Pattern Explanations
  8. Boss Level: Arithmetic Patterns Review

Print worksheet

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