Number Patterns

Worksheet 1: Recognizing Number Patterns

Section A: Identify the Pattern

  1. 2, 4, 6, 8, ____
  2. 5, 10, 15, 20, ____
  3. 3, 6, 9, 12, ____
  4. 10, 20, 30, 40, ____
  5. 1, 4, 7, 10, ____

Section B: Find the Next Numbers

  1. 12, 14, 16, ____, ____
  2. 25, 30, 35, ____, ____
  3. 7, 14, 21, ____, ____
  4. 9, 18, 27, ____, ____
  5. 2, 5, 8, ____, ____

Section C: Fill in the Missing Numbers

  1. 1, ____, 3, 4, ____, 6
  2. 10, ____, 30, 40, ____, 60
  3. 5, ____, 15, ____, 25, ____
  4. 8, ____, 12, ____, 16, 18
  5. 2, ____, 6, 8, ____, 12

Worksheet 2: Continuing Number Patterns

Section A: Continue the Pattern

  1. 2, 5, 8, 11, ____, ____
  2. 3, 9, 27, 81, ____, ____
  3. 1, 3, 9, 27, ____, ____
  4. 4, 8, 12, 16, ____, ____
  5. 10, 20, 30, 40, ____, ____

Section B: More Patterns

  1. 6, 12, 18, 24, ____, ____
  2. 2, 4, 8, 16, ____, ____
  3. 7, 14, 28, 56, ____, ____
  4. 5, 15, 45, 135, ____, ____
  5. 1, 2, 4, 8, ____, ____

Worksheet 3: Creating Number Patterns

Section A: Create Your Own Pattern

  1. Start with 3 and add 5 each time. Write the first 6 numbers.
    • ____, ____, ____, ____, ____, ____
  2. Start with 2 and double each time. Write the first 5 numbers.
    • ____, ____, ____, ____, ____

Section B: Describe the Pattern

  1. 5, 10, 15, 20, 25
    • Describe the pattern: ____________________
  2. 3, 6, 9, 12, 15
    • Describe the pattern: ____________________
  3. 8, 16, 24, 32, 40
    • Describe the pattern: ____________________
  4. 4, 8, 12, 16, 20
    • Describe the pattern: ____________________
  5. 2, 6, 10, 14, 18
    • Describe the pattern: ____________________

Worksheet 4: Word Problems with Number Patterns

Section A: Word Problems

  1. If you start with 1 and add 3 each time, what will the 6th number be?
    • Answer: ____
  2. Maria has 2 apples, then 4 apples, then 8 apples. If the pattern continues, how many apples will she have next?
    • Answer: ____
  3. Tom saves $5 in the first week, $10 in the second week, and $15 in the third week. How much will he save in the fifth week?
    • Answer: ____
  4. A plant grows 2 inches in the first month, 4 inches in the second month, and 6 inches in the third month. How tall will it be in the sixth month?
    • Answer: ____
  5. There are 3 birds on a tree, then 6, then 9, then 12. How many birds will be on the tree after five steps in the pattern?
    • Answer: ____

Section B: More Word Problems

  1. If you start with 2 and multiply by 2 each time, what will the 5th number be?
    • Answer: ____
  2. A sequence starts with 10 and subtracts 2 each time. What is the 7th number?
    • Answer: ____
  3. Lily skips 2 steps each time: 2, 4, 6, 8. What is the 10th step?
    • Answer: ____
  4. A robot moves in steps of 3: 3, 6, 9, 12. How many steps will it take to reach 21?
    • Answer: ____
  5. There are 5 candies, then 10, then 15. How many candies will there be after four steps?
    • Answer: ____

Worksheet 5: Advanced Number Patterns

Section A: Identify and Extend Complex Patterns

  1. 1, 4, 7, 10, ____, ____
  2. 2, 8, 14, 20, ____, ____
  3. 3, 9, 27, 81, ____, ____
  4. 5, 15, 45, ____, ____
  5. 2, 5, 10, 17, ____, ____

Section B: Find the Pattern and Continue

  1. 11, 22, 33, ____, ____
  2. 2, 6, 12, 20, ____, ____
  3. 7, 14, 21, ____, ____
  4. 4, 12, 24, 40, ____, ____
  5. 9, 18, 27, ____, ____

Section C: Pattern Word Problems

  1. A snail crawls 3 inches, then 6 inches, then 9 inches. How many inches will it crawl after five steps?
    • Answer: ____
  2. If you save $2, $4, $8, $16, how much will you have after five steps?
    • Answer: ____
  3. A number pattern starts at 50 and subtracts 5 each time. What is the 7th number?
    • Answer: ____
  4. If a pattern starts at 1 and triples each time, what is the 4th number?
    • Answer: ____
  5. There are 4 trees, then 8, then 12, then 16. How many trees will there be after five steps?
    • Answer: ____

These worksheets cover a variety of number pattern problems, helping students practice recognizing, continuing, creating, and analyzing patterns, as well as solving word problems. Feel free to print and use these worksheets in your classroom!


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