# 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

• ____, ____, ____, ____, ____, ____
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?
2. Maria has 2 apples, then 4 apples, then 8 apples. If the pattern continues, how many apples will she have next?
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?
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?
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?

#### Section B: More Word Problems

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

### 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?
2. If you save \$2, \$4, \$8, \$16, how much will you have after five steps?
3. A number pattern starts at 50 and subtracts 5 each time. What is the 7th number?
4. If a pattern starts at 1 and triples each time, what is the 4th number?
5. There are 4 trees, then 8, then 12, then 16. How many trees will there be after five steps?