NUMBER PATTERNS WORKSHEET FOR GRADE 3 - worksheetspack - Free Printable

Let's solve each number pattern step by step. The goal is to identify the pattern (increasing or decreasing) and fill in the missing numbers by counting forward or backward.

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(a) 511, 521, 531, ____, ____

- Pattern: Increasing by 10
- Next: 531 + 10 = 541, then 541 + 10 = 551
✔ Answer: 541, 551

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(b) 798, 796, 794, ____, ____

- Pattern: Decreasing by 2
- Next: 794 - 2 = 792, then 792 - 2 = 790
✔ Answer: 792, 790

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(c) 850, 750, 650, ____, ____

- Pattern: Decreasing by 100
- Next: 650 - 100 = 550, then 550 - 100 = 450
✔ Answer: 550, 450

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(d) ____, 220, 210, 200, ____

- Pattern: Decreasing by 10
- Before 220: 220 + 10 = 230
- After 200: 200 - 10 = 190
✔ Answer: 230, 190

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(e) 995, ____, 985, ____, 975

- Pattern: Decreasing by 10
- Between 995 and 985: 995 - 10 = 985 → so first blank is 985? Wait — already have 985 as next.
Wait: Sequence: 995, ?, 985, ?, 975

So:
- 995 → ? → 985 → ? → 975
- Difference: 995 to 985 is -10, so decrease by 10 each time.
- So: 995 → 985 → 985 → 975 → 975
But we already have 985 as second term.

Wait: sequence is:
995, [ ], 985, [ ], 975

So:
- 995 → ? → 985 → ? → 975
- From 995 to 985 = -10 → so step is -10
- So first blank: 995 - 10 = 985? But that’s already the third term.

Wait! That can’t be — unless it's skipping?

Wait: 995, ___, 985, ___, 975

So positions:
1: 995
2: ?
3: 985
4: ?
5: 975

From 995 to 985 = -10 over two steps → so each step is -5

Check:
- 995 → 990 → 985 → 980 → 975

Yes! So:
- 995 → 990 → 985 → 980 → 975

✔ Answer: 990, 980

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(f) ____, 353, 356, 359, ____

- Look at known: 353 → 356 → 359 → increasing by 3
- So before 353: 353 - 3 = 350
- After 359: 359 + 3 = 362
✔ Answer: 350, 362

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(g) 297, 397, ____, 597, ____

- 297 → 397 = +100
- 397 → ? → 597 → so likely +100 each time
- So: 397 + 100 = 497
- Then 597 + 100 = 697
✔ Answer: 497, 697

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(h) ____, 728, 721, 714, ____

- 728 → 721 = -7
- 721 → 714 = -7 → decreasing by 7
- Before 728: 728 + 7 = 735
- After 714: 714 - 7 = 707
✔ Answer: 735, 707

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(i) 418, 427, 436, ____, ____

- 418 → 427 = +9
- 427 → 436 = +9 → increasing by 9
- Next: 436 + 9 = 445, then 445 + 9 = 454
✔ Answer: 445, 454

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(j) 101, 201, ____, ____, ____

- 101 → 201 = +100
- So pattern: +100 each time
- Next: 201 + 100 = 301, 301 + 100 = 401, 401 + 100 = 501
✔ Answer: 301, 401, 501

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(k) 556, ____, ____, 553, 552

- Last two: 553 → 552 = -1 → decreasing by 1
- So before 553: 554, before 554: 555
- So: 556, 555, 554, 553, 552
✔ Answer: 555, 554

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(l) ____, 445, 455, 465, ____

- 445 → 455 = +10
- 455 → 465 = +10 → increasing by 10
- Before 445: 445 - 10 = 435
- After 465: 465 + 10 = 475
✔ Answer: 435, 475

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(m) 808, 810, ____, ____, 816

- 808 → 810 = +2
- So likely increasing by 2
- 810 → 812 → 814 → 816
- So blanks: 812, 814
✔ Answer: 812, 814

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(n) ____, 409, 399, 389, ____

- 409 → 399 = -10
- 399 → 389 = -10 → decreasing by 10
- Before 409: 409 + 10 = 419
- After 389: 389 - 10 = 379
✔ Answer: 419, 379

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(o) 750, 700, ____, 600, ____

- 750 → 700 = -50
- 700 → ? → 600 → so likely -50 each time
- 700 - 50 = 650
- 600 - 50 = 550
✔ Answer: 650, 550

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(p) ____, ____, 155, 170, 185

- 155 → 170 = +15
- 170 → 185 = +15 → increasing by 15
- Before 155: 155 - 15 = 140
- Before 140: 140 - 15 = 125
✔ Answer: 125, 140

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(q) 844, 840, 836, ____, ____

- 844 → 840 = -4
- 840 → 836 = -4 → decreasing by 4
- 836 - 4 = 832, then 832 - 4 = 828
✔ Answer: 832, 828

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(r) ____, ____, 660, 720, 780

- 660 → 720 = +60
- 720 → 780 = +60 → increasing by 60
- Before 660: 660 - 60 = 600
- Before 600: 600 - 60 = 540
✔ Answer: 540, 600

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✔ Final Answers:

| Letter | Answer |
|--------|--------|
| (a) | 541, 551 |
| (b) | 792, 790 |
| (c) | 550, 450 |
| (d) | 230, 190 |
| (e) | 990, 980 |
| (f) | 350, 362 |
| (g) | 497, 697 |
| (h) | 735, 707 |
| (i) | 445, 454 |
| (j) | 301, 401, 501 |
| (k) | 555, 554 |
| (l) | 435, 475 |
| (m) | 812, 814 |
| (n) | 419, 379 |
| (o) | 650, 550 |
| (p) | 125, 140 |
| (q) | 832, 828 |
| (r) | 540, 600 |

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✔ All patterns solved by identifying the common difference (addition/subtraction) and applying it consistently.

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