Number patterns worksheet for practicing sequence recognition and rule identification.

Let me work through each number pattern step by step to find the rule and determine the next two numbers.

Pattern 1: 3, 9, 15, 21, 27, 33, 39, ___, ___
- 9 - 3 = 6
- 15 - 9 = 6
- 21 - 15 = 6
- Rule: Add 6
- Next: 39 + 6 = 45, then 45 + 6 = 51

Pattern 2: 98, 92, 86, 80, 74, 68, 62, ___, ___
- 98 - 92 = 6
- 92 - 86 = 6
- 86 - 80 = 6
- Rule: Subtract 6
- Next: 62 - 6 = 56, then 56 - 6 = 50

Pattern 3: 35, 37, 39, 41, 43, 45, 47, ___, ___
- 37 - 35 = 2
- 39 - 37 = 2
- 41 - 39 = 2
- Rule: Add 2
- Next: 47 + 2 = 49, then 49 + 2 = 51

Pattern 4: 69, 73, 77, 81, 85, 89, 93, ___, ___
- 73 - 69 = 4
- 77 - 73 = 4
- 81 - 77 = 4
- Rule: Add 4
- Next: 93 + 4 = 97, then 97 + 4 = 101

Pattern 5: 89, 80, 71, 62, 53, 44, 35, ___, ___
- 89 - 80 = 9
- 80 - 71 = 9
- 71 - 62 = 9
- Rule: Subtract 9
- Next: 35 - 9 = 26, then 26 - 9 = 17

Pattern 6: 25, 34, 43, 52, 61, 70, 79, ___, ___
- 34 - 25 = 9
- 43 - 34 = 9
- 52 - 43 = 9
- Rule: Add 9
- Next: 79 + 9 = 88, then 88 + 9 = 97

Pattern 7: 85, 76, 67, 58, 49, 40, 31, ___, ___
- 85 - 76 = 9
- 76 - 67 = 9
- 67 - 58 = 9
- Rule: Subtract 9
- Next: 31 - 9 = 22, then 22 - 9 = 13

Pattern 8: 66, 62, 58, 54, 50, 46, 42, ___, ___
- 66 - 62 = 4
- 62 - 58 = 4
- 58 - 54 = 4
- Rule: Subtract 4
- Next: 42 - 4 = 38, then 38 - 4 = 34

Pattern 9: 70, 65, 60, 55, 50, 45, 40, ___, ___
- 70 - 65 = 5
- 65 - 60 = 5
- 60 - 55 = 5
- Rule: Subtract 5
- Next: 40 - 5 = 35, then 35 - 5 = 30

Pattern 10: 40, 45, 50, 55, 60, 65, 70, ___, ___
- 45 - 40 = 5
- 50 - 45 = 5
- 55 - 50 = 5
- Rule: Add 5
- Next: 70 + 5 = 75, then 75 + 5 = 80

Final Answer:
1) 45, 51 (add 6)
2) 56, 50 (subtract 6)
3) 49, 51 (add 2)
4) 97, 101 (add 4)
5) 26, 17 (subtract 9)
6) 88, 97 (add 9)
7) 22, 13 (subtract 9)
8) 38, 34 (subtract 4)
9) 35, 30 (subtract 5)
10) 75, 80 (add 5)