Worksheet for practicing number patterns by identifying rules and filling in missing numbers.

Let's solve each of the number pattern problems step by step, following the method shown in the examples.

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Example 1 (Given):

Sequence:
32, 42, 52, 62, ___, ___, 92, ___

Rule: Add 10
So:
- 62 + 10 = 72
- 72 + 10 = 82
- 92 + 10 = 102

✔ Missing numbers: 72, 82, 102

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Example 2 (Given):

Sequence:
127, 125, 123, 121, ___, 117, ___, ___

Rule: Subtract 2
So:
- 121 - 2 = 119
- 117 - 2 = 115
- 115 - 2 = 113

✔ Missing numbers: 119, 115, 113

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Now let’s solve the three practice problems:

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Problem 1:

Sequence:
68, 64, 60, 56, ___, 48, ___, 40

Let’s find the pattern:

- 68 → 64: subtract 4
- 64 → 60: subtract 4
- 60 → 56: subtract 4

So the rule is: subtract 4

Now apply it:
- 56 - 4 = 52
- 48 - 4 = 44
- 44 - 4 = 40 ✔ (matches)

So missing numbers are: 52, 44

✔ Answer:
- Missing numbers: 52, 44
- Rule: Subtract 4

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Problem 2:

Sequence:
246, 241, 236, 231, ___, ___, 216, ___

Find the pattern:

- 246 → 241: subtract 5
- 241 → 236: subtract 5
- 236 → 231: subtract 5

So the rule is: subtract 5

Now:
- 231 - 5 = 226
- 226 - 5 = 221
- 216 - 5 = 211

Check: 221 - 5 = 216 ✔

So missing numbers: 226, 221, 211

✔ Answer:
- Missing numbers: 226, 221, 211
- Rule: Subtract 5

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Problem 3:

Sequence:
376, 387, 398, 409, ___, 431, ___, ___

Find the pattern:

- 376 → 387: +11
- 387 → 398: +11
- 398 → 409: +11

So the rule is: add 11

Now:
- 409 + 11 = 420
- 420 + 11 = 431 ✔ (matches)
- 431 + 11 = 442
- 442 + 11 = 453

So missing numbers: 420, 442, 453

✔ Answer:
- Missing numbers: 420, 442, 453
- Rule: Add 11

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✔ Final Answers:

#### 1.
- Sequence: 68, 64, 60, 56, 52, 48, 44, 40
- Rule: Subtract 4

#### 2.
- Sequence: 246, 241, 236, 231, 226, 221, 216, 211
- Rule: Subtract 5

#### 3.
- Sequence: 376, 387, 398, 409, 420, 431, 442, 453
- Rule: Add 11

Let me know if you'd like a visual representation or explanation for any step!