Let’s solve each number pattern step by step.
---
Problem 1: 3, 9, 15, 21, 27, 33, 39, ___
Look at the difference between numbers:
- 9 - 3 = 6
- 15 - 9 = 6
- 21 - 15 = 6 → so it’s increasing by 6 each time.
Next two numbers:
- 39 + 6 =
45
- 45 + 6 =
51
Rule: Add 6
---
Problem 2: 98, 92, 86, 80, 74, 68, 62, ___
Check differences:
- 92 - 98 = -6
- 86 - 92 = -6 → decreasing by 6
Next two:
- 62 - 6 =
56
- 56 - 6 =
50
Rule: Subtract 6
---
Problem 3: 35, 37, 39, 41, 43, 45, 47, ___
Differences:
- 37 - 35 = 2
- 39 - 37 = 2 → increasing by 2
Next two:
- 47 + 2 =
49
- 49 + 2 =
51
Rule: Add 2
---
Problem 4: 69, 73, 77, 81, 85, 89, 93, ___
Differences:
- 73 - 69 = 4
- 77 - 73 = 4 → increasing by 4
Next two:
- 93 + 4 =
97
- 97 + 4 =
101
Rule: Add 4
---
Problem 5: 89, 80, 71, 62, 53, 44, 35, ___
Differences:
- 80 - 89 = -9
- 71 - 80 = -9 → decreasing by 9
Next two:
- 35 - 9 =
26
- 26 - 9 =
17
Rule: Subtract 9
---
Problem 6: 25, 34, 43, 52, 61, 70, 79, ___
Differences:
- 34 - 25 = 9
- 43 - 34 = 9 → increasing by 9
Next two:
- 79 + 9 =
88
- 88 + 9 =
97
Rule: Add 9
---
Problem 7: 85, 76, 67, 58, 49, 40, 31, ___
Differences:
- 76 - 85 = -9
- 67 - 76 = -9 → decreasing by 9
Next two:
- 31 - 9 =
22
- 22 - 9 =
13
Rule: Subtract 9
---
Problem 8: 66, 62, 58, 54, 50, 46, 42, ___
Differences:
- 62 - 66 = -4
- 58 - 62 = -4 → decreasing by 4
Next two:
- 42 - 4 =
38
- 38 - 4 =
34
Rule: Subtract 4
---
Problem 9: 70, 65, 60, 55, 50, 45, 40, ___
Differences:
- 65 - 70 = -5
- 60 - 65 = -5 → decreasing by 5
Next two:
- 40 - 5 =
35
- 35 - 5 =
30
Rule: Subtract 5
---
Problem 10: 40, 45, 50, 55, 60, 65, 70, ___
Differences:
- 45 - 40 = 5
- 50 - 45 = 5 → increasing by 5
Next two:
- 70 + 5 =
75
- 75 + 5 =
80
Rule: Add 5
---
Final Answer:
1) 45, 51 — Rule: Add 6
2) 56, 50 — Rule: Subtract 6
3) 49, 51 — Rule: Add 2
4) 97, 101 — Rule: Add 4
5) 26, 17 — Rule: Subtract 9
6) 88, 97 — Rule: Add 9
7) 22, 13 — Rule: Subtract 9
8) 38, 34 — Rule: Subtract 4
9) 35, 30 — Rule: Subtract 5
10) 75, 80 — Rule: Add 5
Parent Tip: Review the logic above to help your child master the concept of picture pattern worksheet 3rd grade.
