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Math Grade 2-3

Number Patterns and Rules

Find, describe, and continue number patterns

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Practice using addition, subtraction, and skip counting rules to identify and extend number patterns.

Read each problem carefully. Look for the rule in each pattern. Show your work in the space provided.

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Find, describe, and continue number patterns

Math - Grade 2-3

Instructions: Read each problem carefully. Look for the rule in each pattern. Show your work in the space provided.
  1. 1

    Continue the pattern: 5, 10, 15, 20, __, __, __.

  2. 2

    What is the rule for this pattern: 2, 4, 6, 8, 10?

  3. 3

    Fill in the missing numbers: 30, 27, 24, __, __, 15.

  4. 4
    A frog makes equal jumps forward along a number line with tick marks.

    A frog jumps forward 10 spaces each time on a number line. It starts at 0. Write the first 5 numbers it lands on.

  5. 5

    Find the missing number in the pattern: 7, 14, 21, __, 35, 42.

  6. 6

    Look at the input and output table. Input 1 gives output 3. Input 2 gives output 6. Input 3 gives output 9. What is the output for input 4?

  7. 7

    Mia writes this pattern: 100, 90, 80, 70, __, __. Fill in the blanks and write the rule.

  8. 8

    Which number does not belong in this pattern: 4, 8, 12, 15, 20, 24? Explain your answer.

  9. 9

    Draw or write the next three numbers in this pattern: 1, 3, 5, 7, __, __, __.

  10. 10
    Groups of colored beads increase from red to blue to green to yellow.

    A bead pattern uses 2 red beads, then 4 blue beads, then 6 green beads, then 8 yellow beads. If the number pattern continues, how many beads are in the next group?

  11. 11

    Complete the pattern and describe the rule: 3, 6, 12, 24, __.

  12. 12
    A child saves coins, with coin stacks growing larger each week.

    Sam saves money each week. He has $5 after week 1, $10 after week 2, $15 after week 3, and $20 after week 4. How much money will he have after week 5 if the pattern continues?

  13. 13

    Find the rule and the next two numbers: 50, 45, 40, 35, __, __.

  14. 14
    Rows of square tiles increase by the same amount each row.

    Tiles are arranged in rows. Row 1 has 3 tiles, row 2 has 6 tiles, row 3 has 9 tiles, and row 4 has 12 tiles. How many tiles will row 5 have?

  15. 15

    Make your own number pattern with at least 6 numbers. Write the rule for your pattern.

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