Grade 2 Skip Counting Worksheets - free & printable | Worsheets library - Free Printable
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Step-by-step solution for: Grade 2 Skip Counting Worksheets - free & printable | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Grade 2 Skip Counting Worksheets - free & printable | Worsheets library
This worksheet asks you to complete skip counting series — that means you need to identify the pattern (the “skip” amount) and fill in the missing numbers.
Let’s solve each one step by step.
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- Pattern: Add 4 each time.
- 0 + 4 = 4 → 4 + 4 = 8 → 8 + 4 = 12, then 16, 20, 24, 28
✔ Answer: 12, 16, 20, 24, 28
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- Look at 38 → 46 → 54: difference is +8
- So, subtract 8 to go backwards:
- 38 – 8 = 30
- 30 – 8 = 22
- 22 – 8 = 14
- Forward from 54:
- 54 + 8 = 62
- 62 + 8 = 70
✔ Answer: 14, 22, 30, 62, 70
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- Look at 22 → 25: difference = +3
- Check 16 → 22: 16 + 6 = 22? But 22 + 3 = 25 → so maybe it's +3 overall?
Wait — 16 to 22 is +6, 22 to 25 is +3 — that’s inconsistent.
Let’s check if it’s +3 throughout:
- 25 – 3 = 22
- 22 – 3 = 19 ← but it says 16 before 22. That doesn’t fit.
Wait — maybe it’s +3, but there’s a typo? Let’s re-express:
If last three are 16, __, 22, 25
Assume 16 → ? → 22 → 25
From 22 to 25: +3 → so maybe 16 to 22 is also +6? That would mean two steps: 16 → 19 → 22 → 25 → consistent with +3
So: 16, 19, 22, 25
Then going backward from 16:
- 16 – 3 = 13
- 13 – 3 = 10
- 10 – 3 = 7
- 7 – 3 = 4
✔ Answer: 4, 7, 10, 13, 19
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- 67 → 75 = +8
- So likely skip by 8.
Check: 75 – 8 = 67 → 67 – 8 = 59 → 59 – 8 = 51 → 51 – 8 = 43 → 43 – 8 = 35 → 35 – 8 = 27 → 27 – 8 = 19 ✔
So sequence: 19, 27, 35, 43, 51, 59, 67, 75
✔ Answer: 27, 35, 43, 51, 59
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- 39 → 59 = +20 → 59 → 79 = +20 → so skip by +20
Backward:
- 39 – 20 = 19
- 19 – 20 = -1 ← negative? Maybe not intended.
Wait — 39 to 59 is 20, but maybe it’s +10?
Check: 39 → ? → 59 → ? → 79
If +10: 39, 49, 59, 69, 79 → yes! That fits.
So missing: before 39: 39 – 10 = 29, 29 – 10 = 19, 19 – 10 = 9
After 59: 59 + 10 = 69
✔ Answer: 9, 19, 29, 49, 69
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- 20 → 24 = +4
- 24 → ? → ? → 36 → 36 – 24 = 12 → 12 / 2 = 6 → so two steps of +6? No, must be consistent.
Try +4:
- 20, 24, 28, 32, 36, 40, 44
Check: 20 +4=24, +4=28, +4=32, +4=36, +4=40, +4=44 ✔
Before 20: 20 – 4 = 16
✔ Answer: 16, 28, 32, 40, 44
---
- 18 → 24 = +6 → maybe skip by 6?
But 9 → 18 = +9 → not matching.
Try +3:
- 9, 12, 15, 18, 21, 24, 27 → YES!
So before 9: 9 – 3 = 6
Sequence: 6, 9, 12, 15, 18, 21, 24, 27
✔ Answer: 6, 12, 15, 21, 27
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- 28 → 33 → 38 → difference = +5
So backward:
- 28 – 5 = 23
- 23 – 5 = 18
- 18 – 5 = 13
Forward:
- 38 + 5 = 43
- 43 + 5 = 48
✔ Answer: 13, 18, 23, 43, 48
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- 15 → 17 = +2 → so skip by +2
Next: 17 + 2 = 19
Then: 21 + 2 = 23, 25, 27, 29
Sequence: 15, 17, 19, 21, 23, 25, 27, 29
✔ Answer: 19, 23, 25, 27, 29
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- 29 → 31 = +2 → so likely +2
23 → 25 → 27 → 29 → 31
So before 23: 23 – 2 = 21, 19, 17
✔ Answer: 17, 19, 21, 25, 27
---
- 25 → 30 = +5 → 30 → 40 = +10? Wait — 30 to 40 is +10, but 25 to 30 is +5 → inconsistency.
Wait — maybe 30 to 40 is two steps? 30 → 35 → 40 → so +5 each.
Yes! Skip by +5
So: 25, 30, 35, 40, 45
Before 25: 25 – 5 = 20, 15, 10
✔ Answer: 10, 15, 20, 35, 45
---
- 3 → 23 = +20 → 23 → 73 = +50 → over 5 steps? Not clear.
Try to see difference between 3 and 23: 20 → maybe +10 each step?
3 → 13 → 23 → 33 → 43 → 53 → 63 → 73 → YES! Skip by +10
So: 3, 13, 23, 33, 43, 53, 63, 73
✔ Answer: 13, 33, 43, 53, 63
---
## ✔ Final Answers:
1) 12, 16, 20, 24, 28
2) 14, 22, 30, 62, 70
3) 4, 7, 10, 13, 19
4) 27, 35, 43, 51, 59
5) 9, 19, 29, 49, 69
6) 16, 28, 32, 40, 44
7) 6, 12, 15, 21, 27
8) 13, 18, 23, 43, 48
9) 19, 23, 25, 27, 29
10) 17, 19, 21, 25, 27
11) 10, 15, 20, 35, 45
12) 13, 33, 43, 53, 63
---
📌 Tip: Always look at the known numbers first to find the common difference (the “skip”). Then apply it forward and backward to fill gaps. Double-check your answers by verifying the pattern holds across the entire sequence.
Let’s solve each one step by step.
---
1) 0, 4, 8, __, __, __, __, __
- Pattern: Add 4 each time.
- 0 + 4 = 4 → 4 + 4 = 8 → 8 + 4 = 12, then 16, 20, 24, 28
✔ Answer: 12, 16, 20, 24, 28
---
2) __, __, __, 38, 46, 54, __, __
- Look at 38 → 46 → 54: difference is +8
- So, subtract 8 to go backwards:
- 38 – 8 = 30
- 30 – 8 = 22
- 22 – 8 = 14
- Forward from 54:
- 54 + 8 = 62
- 62 + 8 = 70
✔ Answer: 14, 22, 30, 62, 70
---
3) __, __, __, __, 16, __, 22, 25
- Look at 22 → 25: difference = +3
- Check 16 → 22: 16 + 6 = 22? But 22 + 3 = 25 → so maybe it's +3 overall?
Wait — 16 to 22 is +6, 22 to 25 is +3 — that’s inconsistent.
Let’s check if it’s +3 throughout:
- 25 – 3 = 22
- 22 – 3 = 19 ← but it says 16 before 22. That doesn’t fit.
Wait — maybe it’s +3, but there’s a typo? Let’s re-express:
If last three are 16, __, 22, 25
Assume 16 → ? → 22 → 25
From 22 to 25: +3 → so maybe 16 to 22 is also +6? That would mean two steps: 16 → 19 → 22 → 25 → consistent with +3
So: 16, 19, 22, 25
Then going backward from 16:
- 16 – 3 = 13
- 13 – 3 = 10
- 10 – 3 = 7
- 7 – 3 = 4
✔ Answer: 4, 7, 10, 13, 19
---
4) 19, __, __, __, __, __, 67, 75
- 67 → 75 = +8
- So likely skip by 8.
Check: 75 – 8 = 67 → 67 – 8 = 59 → 59 – 8 = 51 → 51 – 8 = 43 → 43 – 8 = 35 → 35 – 8 = 27 → 27 – 8 = 19 ✔
So sequence: 19, 27, 35, 43, 51, 59, 67, 75
✔ Answer: 27, 35, 43, 51, 59
---
5) __, __, __, 39, __, 59, __, 79
- 39 → 59 = +20 → 59 → 79 = +20 → so skip by +20
Backward:
- 39 – 20 = 19
- 19 – 20 = -1 ← negative? Maybe not intended.
Wait — 39 to 59 is 20, but maybe it’s +10?
Check: 39 → ? → 59 → ? → 79
If +10: 39, 49, 59, 69, 79 → yes! That fits.
So missing: before 39: 39 – 10 = 29, 29 – 10 = 19, 19 – 10 = 9
After 59: 59 + 10 = 69
✔ Answer: 9, 19, 29, 49, 69
---
6) __, 20, 24, __, __, 36, __, __
- 20 → 24 = +4
- 24 → ? → ? → 36 → 36 – 24 = 12 → 12 / 2 = 6 → so two steps of +6? No, must be consistent.
Try +4:
- 20, 24, 28, 32, 36, 40, 44
Check: 20 +4=24, +4=28, +4=32, +4=36, +4=40, +4=44 ✔
Before 20: 20 – 4 = 16
✔ Answer: 16, 28, 32, 40, 44
---
7) __, 9, __, __, 18, __, 24, __
- 18 → 24 = +6 → maybe skip by 6?
But 9 → 18 = +9 → not matching.
Try +3:
- 9, 12, 15, 18, 21, 24, 27 → YES!
So before 9: 9 – 3 = 6
Sequence: 6, 9, 12, 15, 18, 21, 24, 27
✔ Answer: 6, 12, 15, 21, 27
---
8) __, __, __, 28, 33, 38, __, __
- 28 → 33 → 38 → difference = +5
So backward:
- 28 – 5 = 23
- 23 – 5 = 18
- 18 – 5 = 13
Forward:
- 38 + 5 = 43
- 43 + 5 = 48
✔ Answer: 13, 18, 23, 43, 48
---
9) 15, 17, __, 21, __, __, __, __
- 15 → 17 = +2 → so skip by +2
Next: 17 + 2 = 19
Then: 21 + 2 = 23, 25, 27, 29
Sequence: 15, 17, 19, 21, 23, 25, 27, 29
✔ Answer: 19, 23, 25, 27, 29
---
10) __, __, __, 23, __, __, 29, 31
- 29 → 31 = +2 → so likely +2
23 → 25 → 27 → 29 → 31
So before 23: 23 – 2 = 21, 19, 17
✔ Answer: 17, 19, 21, 25, 27
---
11) __, __, __, 25, 30, __, 40, __
- 25 → 30 = +5 → 30 → 40 = +10? Wait — 30 to 40 is +10, but 25 to 30 is +5 → inconsistency.
Wait — maybe 30 to 40 is two steps? 30 → 35 → 40 → so +5 each.
Yes! Skip by +5
So: 25, 30, 35, 40, 45
Before 25: 25 – 5 = 20, 15, 10
✔ Answer: 10, 15, 20, 35, 45
---
12) 3, __, 23, __, __, __, __, 73
- 3 → 23 = +20 → 23 → 73 = +50 → over 5 steps? Not clear.
Try to see difference between 3 and 23: 20 → maybe +10 each step?
3 → 13 → 23 → 33 → 43 → 53 → 63 → 73 → YES! Skip by +10
So: 3, 13, 23, 33, 43, 53, 63, 73
✔ Answer: 13, 33, 43, 53, 63
---
## ✔ Final Answers:
1) 12, 16, 20, 24, 28
2) 14, 22, 30, 62, 70
3) 4, 7, 10, 13, 19
4) 27, 35, 43, 51, 59
5) 9, 19, 29, 49, 69
6) 16, 28, 32, 40, 44
7) 6, 12, 15, 21, 27
8) 13, 18, 23, 43, 48
9) 19, 23, 25, 27, 29
10) 17, 19, 21, 25, 27
11) 10, 15, 20, 35, 45
12) 13, 33, 43, 53, 63
---
📌 Tip: Always look at the known numbers first to find the common difference (the “skip”). Then apply it forward and backward to fill gaps. Double-check your answers by verifying the pattern holds across the entire sequence.
Parent Tip: Review the logic above to help your child master the concept of skip counting worksheets.