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3rd Grade Arithmetic Patterns worksheets

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Arithmetic Patterns

Grade 3 Math Worksheet - Challenge Me

NameDate

Circle the answer.

  1. What are the next two numbers in this pattern?

    • 23, 27
    • 23, 28
    • 21, 23
    • 22, 25
  2. Which number is in both the 4s row and the 6s row?

    • 18
    • 16
    • 24
    • 30
  3. Tia says 6 × 7 is odd because 7 is odd. Is she right?

    • No, 6 × 7 is even because 7 is odd
    • No, 6 × 7 is even because 6 is even
    • Yes, an odd factor always makes an odd product
    • Yes, 6 × 7 is 43, which is odd
  4. The digits of a 9s product add to 9. Which number could be in the 9s row?

    • 63
    • 53
    • 73
    • 64
  5. Look at the ones digits of the 8s row: 8, 16, 24, 32, 40. What pattern do they make?

    • 0, 2, 4, 6, 8
    • 8, 7, 6, 5, 4
    • 8, 6, 4, 2, 0
    • 8, 4, 2, 6, 0
  6. Sam adds three odd numbers: 3 + 5 + 7. Is the sum even or odd? Why?

    • even, because odd numbers always add to an even number
    • odd, because any sum of odd numbers is odd
    • even, because 3 + 5 + 7 is 16
    • odd, because odd + odd is even, then even + odd is odd
  7. The 3s row and the 3s column of a multiplication table have the same numbers. Why?

    • every number in the 3s row is odd
    • 3 × 5 is the same as 3 + 5
    • 3 × 5 is the same as 5 × 3
    • each row is 3 more than the last
  8. Without multiplying, how do you know 5 × 9 is odd?

    • every 5s product ends in 5
    • both factors are odd
    • one factor is even
    • 5 + 9 is an even number
  9. What rule fits this pattern?

    • add 4 each time
    • add 12 each time
    • multiply by 3 each time
    • multiply by 2 each time
  10. Kim says every product in the 6s row is even. Which reason proves it?

    • 6 × 3 = 18, and 18 is even
    • the other factor is always even
    • 6 is even, and an even factor makes an even product
    • every 6s product ends in 6
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3rd Grade Arithmetic Patterns worksheet 1 – printable PDF
Download PDF: 123456

About this worksheet

This Grade 3 math worksheet gives focused practice with arithmetic patterns using short, self-checking problems. The Grade 3 reference book revisits the skill through models, equations, and word problems, so this page rotates across direct calculation, reasoning, visual interpretation, and explanation prompts. Students should read what the question asks before choosing an operation or model. Each level has its own questions: support versions use friendlier numbers and three answer choices, standard versions work at grade level, and challenge versions add two-step and reasoning questions.

Encourage children to write or say the equation that matches the story, then check whether the answer fits the context. The goal is not just getting a number; it is explaining why that number answers the particular Grade 3 problem. Each item keeps the standard narrow enough for practice while still using varied situations so the page does not feel like one repeated drill.

What your child will learn

  • Use the target Grade 3 standard
  • Connect models and equations
  • Solve in context
  • Check answers with reasoning

Common Core standard: 3.OA.D.9

Worked example

A strong answer matches the model, the operation, and the words in the problem.

Common mistake

Using a remembered procedure without checking what the problem is asking.

Helpful hint

Match the numbers to the model or story before calculating.

Questions parents ask

What is the most common mistake with arithmetic patterns?

Using a remembered procedure without checking what the problem is asking.

How can I help my child with arithmetic patterns?

Match the numbers to the model or story before calculating.

Are these 3rd grade math worksheets free to print?

Yes. All 6 printable versions on this page are free to download and print, with no account needed.

Similar: Multiply and Divide Fluently · Two-Step Word Problems

More 3rd grade operations

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