Math worksheet for completing number series with missing numbers.
A math worksheet titled "Complete the Number Series" with blank spaces to fill in missing numbers in sequences, featuring a name, teacher, and date section at the top.
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Show Answer Key & Explanations
Step-by-step solution for: Patterns Worksheets | Dynamically Created Patterns Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Patterns Worksheets | Dynamically Created Patterns Worksheets
To solve these number series, we need to find the pattern. In all of these problems, the numbers are increasing by 1 each time. This is called "counting up" or "consecutive numbers."
Here is the step-by-step solution for each row:
Row 1: `5 , 6 , __ , __ , 9 , __ , __ , __`
* Start at 5. Add 1 to get 6.
* Add 1 to 6 to get 7.
* Add 1 to 7 to get 8.
* Check: The next number is 9. (Correct)
* Add 1 to 9 to get 10.
* Add 1 to 10 to get 11.
* Add 1 to 11 to get 12.
* *Missing numbers:* 7, 8, 10, 11, 12
Row 2: `__ , 11 , __ , __ , __ , 15 , __ , 17`
* We see 11 and later 15 and 17. Let's count backward from 11 to find the first blank.
* 11 minus 1 is 10.
* Now count forward from 11:
* 11 plus 1 is 12.
* 12 plus 1 is 13.
* 13 plus 1 is 14.
* Check: The next number is 15. (Correct)
* 15 plus 1 is 16.
* Check: The next number is 17. (Correct)
* *Missing numbers:* 10, 12, 13, 14, 16
Row 3: `7 , __ , __ , __ , 11 , __ , 13 , __`
* Start at 7.
* 7 plus 1 is 8.
* 8 plus 1 is 9.
* 9 plus 1 is 10.
* Check: The next number is 11. (Correct)
* 11 plus 1 is 12.
* Check: The next number is 13. (Correct)
* 13 plus 1 is 14.
* *Missing numbers:* 8, 9, 10, 12, 14
Row 4: `__ , 5 , __ , __ , __ , 9 , __ , 11`
* Count backward from 5: 5 minus 1 is 4.
* Count forward from 5:
* 5 plus 1 is 6.
* 6 plus 1 is 7.
* 7 plus 1 is 8.
* Check: The next number is 9. (Correct)
* 9 plus 1 is 10.
* Check: The next number is 11. (Correct)
* *Missing numbers:* 4, 6, 7, 8, 10
Row 5: `__ , __ , 3 , __ , 5 , 6 , __ , __`
* Count backward from 3:
* 3 minus 1 is 2.
* 2 minus 1 is 1.
* Count forward from 3:
* 3 plus 1 is 4.
* Check: The next numbers are 5, 6. (Correct)
* 6 plus 1 is 7.
* 7 plus 1 is 8.
* *Missing numbers:* 1, 2, 4, 7, 8
Row 6: `13 , __ , __ , __ , 17 , 18 , __ , __`
* Start at 13.
* 13 plus 1 is 14.
* 14 plus 1 is 15.
* 15 plus 1 is 16.
* Check: The next numbers are 17, 18. (Correct)
* 18 plus 1 is 19.
* 19 plus 1 is 20.
* *Missing numbers:* 14, 15, 16, 19, 20
Row 7: `__ , 12 , 13 , __ , 15 , __ , __ , __`
* Count backward from 12: 12 minus 1 is 11.
* Check: Next is 13. (Correct)
* 13 plus 1 is 14.
* Check: Next is 15. (Correct)
* 15 plus 1 is 16.
* 16 plus 1 is 17.
* 17 plus 1 is 18.
* *Missing numbers:* 11, 14, 16, 17, 18
Row 8: `__ , 1 , __ , __ , __ , __ , 6 , 7`
* Count backward from 1: 1 minus 1 is 0.
* Count forward from 1:
* 1 plus 1 is 2.
* 2 plus 1 is 3.
* 3 plus 1 is 4.
* 4 plus 1 is 5.
* Check: The next numbers are 6, 7. (Correct)
* *Missing numbers:* 0, 2, 3, 4, 5
Row 9: `9 , __ , __ , __ , 13 , __ , __ , 16`
* Start at 9.
* 9 plus 1 is 10.
* 10 plus 1 is 11.
* 11 plus 1 is 12.
* Check: The next number is 13. (Correct)
* 13 plus 1 is 14.
* 14 plus 1 is 15.
* Check: The next number is 16. (Correct)
* *Missing numbers:* 10, 11, 12, 14, 15
Row 10: `12 , 13 , __ , __ , __ , 17 , __ , __`
* Start at 12, 13.
* 13 plus 1 is 14.
* 14 plus 1 is 15.
* 15 plus 1 is 16.
* Check: The next number is 17. (Correct)
* 17 plus 1 is 18.
* 18 plus 1 is 19.
* *Missing numbers:* 14, 15, 16, 18, 19
Final Answer:
1. 5, 6, 7, 8, 9, 10, 11, 12
2. 10, 11, 12, 13, 14, 15, 16, 17
3. 7, 8, 9, 10, 11, 12, 13, 14
4. 4, 5, 6, 7, 8, 9, 10, 11
5. 1, 2, 3, 4, 5, 6, 7, 8
6. 13, 14, 15, 16, 17, 18, 19, 20
7. 11, 12, 13, 14, 15, 16, 17, 18
8. 0, 1, 2, 3, 4, 5, 6, 7
9. 9, 10, 11, 12, 13, 14, 15, 16
10. 12, 13, 14, 15, 16, 17, 18, 19
Here is the step-by-step solution for each row:
Row 1: `5 , 6 , __ , __ , 9 , __ , __ , __`
* Start at 5. Add 1 to get 6.
* Add 1 to 6 to get 7.
* Add 1 to 7 to get 8.
* Check: The next number is 9. (Correct)
* Add 1 to 9 to get 10.
* Add 1 to 10 to get 11.
* Add 1 to 11 to get 12.
* *Missing numbers:* 7, 8, 10, 11, 12
Row 2: `__ , 11 , __ , __ , __ , 15 , __ , 17`
* We see 11 and later 15 and 17. Let's count backward from 11 to find the first blank.
* 11 minus 1 is 10.
* Now count forward from 11:
* 11 plus 1 is 12.
* 12 plus 1 is 13.
* 13 plus 1 is 14.
* Check: The next number is 15. (Correct)
* 15 plus 1 is 16.
* Check: The next number is 17. (Correct)
* *Missing numbers:* 10, 12, 13, 14, 16
Row 3: `7 , __ , __ , __ , 11 , __ , 13 , __`
* Start at 7.
* 7 plus 1 is 8.
* 8 plus 1 is 9.
* 9 plus 1 is 10.
* Check: The next number is 11. (Correct)
* 11 plus 1 is 12.
* Check: The next number is 13. (Correct)
* 13 plus 1 is 14.
* *Missing numbers:* 8, 9, 10, 12, 14
Row 4: `__ , 5 , __ , __ , __ , 9 , __ , 11`
* Count backward from 5: 5 minus 1 is 4.
* Count forward from 5:
* 5 plus 1 is 6.
* 6 plus 1 is 7.
* 7 plus 1 is 8.
* Check: The next number is 9. (Correct)
* 9 plus 1 is 10.
* Check: The next number is 11. (Correct)
* *Missing numbers:* 4, 6, 7, 8, 10
Row 5: `__ , __ , 3 , __ , 5 , 6 , __ , __`
* Count backward from 3:
* 3 minus 1 is 2.
* 2 minus 1 is 1.
* Count forward from 3:
* 3 plus 1 is 4.
* Check: The next numbers are 5, 6. (Correct)
* 6 plus 1 is 7.
* 7 plus 1 is 8.
* *Missing numbers:* 1, 2, 4, 7, 8
Row 6: `13 , __ , __ , __ , 17 , 18 , __ , __`
* Start at 13.
* 13 plus 1 is 14.
* 14 plus 1 is 15.
* 15 plus 1 is 16.
* Check: The next numbers are 17, 18. (Correct)
* 18 plus 1 is 19.
* 19 plus 1 is 20.
* *Missing numbers:* 14, 15, 16, 19, 20
Row 7: `__ , 12 , 13 , __ , 15 , __ , __ , __`
* Count backward from 12: 12 minus 1 is 11.
* Check: Next is 13. (Correct)
* 13 plus 1 is 14.
* Check: Next is 15. (Correct)
* 15 plus 1 is 16.
* 16 plus 1 is 17.
* 17 plus 1 is 18.
* *Missing numbers:* 11, 14, 16, 17, 18
Row 8: `__ , 1 , __ , __ , __ , __ , 6 , 7`
* Count backward from 1: 1 minus 1 is 0.
* Count forward from 1:
* 1 plus 1 is 2.
* 2 plus 1 is 3.
* 3 plus 1 is 4.
* 4 plus 1 is 5.
* Check: The next numbers are 6, 7. (Correct)
* *Missing numbers:* 0, 2, 3, 4, 5
Row 9: `9 , __ , __ , __ , 13 , __ , __ , 16`
* Start at 9.
* 9 plus 1 is 10.
* 10 plus 1 is 11.
* 11 plus 1 is 12.
* Check: The next number is 13. (Correct)
* 13 plus 1 is 14.
* 14 plus 1 is 15.
* Check: The next number is 16. (Correct)
* *Missing numbers:* 10, 11, 12, 14, 15
Row 10: `12 , 13 , __ , __ , __ , 17 , __ , __`
* Start at 12, 13.
* 13 plus 1 is 14.
* 14 plus 1 is 15.
* 15 plus 1 is 16.
* Check: The next number is 17. (Correct)
* 17 plus 1 is 18.
* 18 plus 1 is 19.
* *Missing numbers:* 14, 15, 16, 18, 19
Final Answer:
1. 5, 6, 7, 8, 9, 10, 11, 12
2. 10, 11, 12, 13, 14, 15, 16, 17
3. 7, 8, 9, 10, 11, 12, 13, 14
4. 4, 5, 6, 7, 8, 9, 10, 11
5. 1, 2, 3, 4, 5, 6, 7, 8
6. 13, 14, 15, 16, 17, 18, 19, 20
7. 11, 12, 13, 14, 15, 16, 17, 18
8. 0, 1, 2, 3, 4, 5, 6, 7
9. 9, 10, 11, 12, 13, 14, 15, 16
10. 12, 13, 14, 15, 16, 17, 18, 19
Parent Tip: Review the logic above to help your child master the concept of number patterns worksheet 5th grade.