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Mixed Pattern Explanations

Practice mixed Grade 3 arithmetic pattern explanations before the boss review.

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: Mix table relationships, even and odd products, input-output rules, and explanation choices.
  • Standard: 3.OA.D.9
  • Game mode: Gate maze for arithmetic patterns
  • Estimated time: 6-10 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 Boss Level: Arithmetic Patterns Review.

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

What this level covers

Mix table relationships, even and odd products, input-output rules, and explanation choices. 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. The ×8 row is double the ×4 row. If 4 × 9 = 36, what is 8 × 9?
  2. The ×7 row alternates between even and odd products when the other factor increases by 1. Which word names that pattern?
  3. Rule: multiply by 3. Input 6 gives output ?
  4. Which rule fits 10, 20, 30, 40?
  5. Which property explains why 3 × 7 and 7 × 3 have the same product?
  6. The ×9 row is one group less than the ×10 row. If 10 × 6 = 60, what is 9 × 6?
  7. Products in the ×6 row are always what kind of number?

Extra practice

  1. The ×6 row is double the ×3 row. If 3 × 6 = 18, what is 6 × 6?
  2. The ×5 row alternates between even and odd products when the other factor increases by 1. Which word names that pattern?
  3. Rule: multiply by 4. Input 6 gives output ?
  4. Which rule fits 4, 8, 12, 16?
  5. Which property explains why 3 × 7 and 7 × 3 have the same product?
  6. The ×9 row is one group less than the ×10 row. If 10 × 4 = 40, what is 9 × 4?
  7. Products in the ×2 row are always what kind of number?
  8. Rule: add 5. Input 2 gives output ?

Printable worksheet / 3.OA.D.9

Level 7: Mixed Pattern Explanations

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 6 7

Gate Questions

  1. The ×8 row is double the ×4 row. If 4 × 9 = 36, what is 8 × 9?
  2. The ×7 row alternates between even and odd products when the other factor increases by 1. Which word names that pattern?
  3. Rule: multiply by 3. Input 6 gives output ?
  4. Which rule fits 10, 20, 30, 40?
  5. Which property explains why 3 × 7 and 7 × 3 have the same product?
  6. The ×9 row is one group less than the ×10 row. If 10 × 6 = 60, what is 9 × 6?
  7. Products in the ×6 row are always what kind of number?

Extra Practice

  1. The ×6 row is double the ×3 row. If 3 × 6 = 18, what is 6 × 6?
  2. The ×5 row alternates between even and odd products when the other factor increases by 1. Which word names that pattern?
  3. Rule: multiply by 4. Input 6 gives output ?
  4. Which rule fits 4, 8, 12, 16?
  5. Which property explains why 3 × 7 and 7 × 3 have the same product?
  6. The ×9 row is one group less than the ×10 row. If 10 × 4 = 40, what is 9 × 4?
  7. Products in the ×2 row are always what kind of number?
  8. Rule: add 5. Input 2 gives output ?

Standard

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

Student worksheet page

Teacher copy / 3.OA.D.9

Level 7: 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: 72
  2. Gate 2: alternating
  3. Gate 3: 18
  4. Gate 4: add 10 each time
  5. Gate 5: the factors can change order
  6. Gate 6: 54
  7. Gate 7: even

Extra Practice Answers

  1. Practice 1: 36
  2. Practice 2: alternating
  3. Practice 3: 24
  4. Practice 4: add 4 each time
  5. Practice 5: the factors can change order
  6. Practice 6: 36
  7. Practice 7: even
  8. Practice 8: 7

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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