Let's solve each number series step by step. We'll identify the pattern in each sequence and fill in the missing numbers.
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1. 5, 6, __, __, 9, __, __, __
- From 5 to 6: +1
- Likely increasing by 1:
→ 5, 6,
7,
8, 9,
10,
11,
12
✔ Answer: 5, 6,
7, 8, 9, 10, 11, 12
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2. __, 11, __, __, __, 15, __, 17
- We know: 11, then later 15, then 17.
- Let’s assume it's increasing by 1:
So: __, 11, 12, 13, 14, 15, 16, 17
→ First number is 10
✔ Answer: 10, 11,
12, 13, 14, 15, 16, 17
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3. 7, __, __, __, 11, __, 13, __
- 7 to 11: +4 over 4 steps → likely +1 each step
- So: 7, 8, 9, 10, 11, 12, 13, 14
✔ Answer: 7,
8, 9, 10, 11, 12, 13, 14
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4. __, 5, __, __, __, 9, __, 11
- 5 to 9: +4 over 4 steps → likely +1 per step
- So: 4, 5, 6, 7, 8, 9, 10, 11
✔ Answer: 4, 5,
6, 7, 8, 9, 10, 11
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5. __, __, 3, __, 5, 6, __, __
- 3 to 5: +2, then 5 to 6: +1 → not consistent?
- But let's look at positions:
- Position 3: 3
- Position 5: 5
- Position 6: 6
- Maybe counting up from 1?
Try: 1, 2, 3, 4, 5, 6, 7, 8
→ That fits: __, __, 3, __, 5, 6, __, __ → so:
1, 2, 3, 4, 5, 6, 7, 8
✔ Answer: 1, 2, 3, 4, 5, 6, 7, 8
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6. 13, __, __, __, 17, 18, __, __
- 13 to 17: +4 over 4 steps → +1 per step
- So: 13, 14, 15, 16, 17, 18, 19, 20
✔ Answer: 13,
14, 15, 16, 17, 18, 19, 20
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7. __, 12, 13, __, 15, __, __, __
- 12, 13 → +1
- Then 15 → so next after 13 is 14, then 15
- So: __, 12, 13,
14, 15,
16, 17, 18
- What comes before 12? Probably 11
So:
11, 12, 13,
14, 15, 16, 17, 18
✔ Answer: 11, 12, 13,
14, 15, 16, 17, 18
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8. __, 1, __, __, __, 6, 7
- 1 to 6: +5 over 5 steps → +1 per step
- So: 0, 1, 2, 3, 4, 5, 6, 7
✔ Answer: 0, 1,
2, 3, 4, 5, 6, 7
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9. 9, __, __, __, 13, __, __, 16
- 9 to 13: +4 over 4 steps → +1 per step
- So: 9, 10, 11, 12, 13, 14, 15, 16
✔ Answer: 9,
10, 11, 12, 13, 14, 15, 16
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10. 12, 13, __, __, __, 17, __, __
- 12 to 13: +1
- Then to 17: +4 over 4 steps → +1 per step
- So: 12, 13, 14, 15, 16, 17, 18, 19
✔ Answer: 12, 13,
14, 15, 16, 17, 18, 19
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✔ Final Answers (Completed Series):
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
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🎯 Pattern Summary:
All sequences follow a
simple arithmetic progression with a common difference of +1, except possibly for some starting points. The key was identifying that most are counting up by 1, and using known values to find missing ones.
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Parent Tip: Review the logic above to help your child master the concept of pattern worksheet with.
