Number Patterns Worksheet for 3rd - 5th Grade | Lesson Planet - Free Printable

Let’s solve each number pattern step by step. We’ll look at how the numbers change — either going up (counting on) or going down (counting back).

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(a) 511, 521, 531, ___, ___
→ Each number increases by 10.
531 + 10 = 541
541 + 10 = 551

(b) 798, 796, 794, ___, ___
→ Each number decreases by 2.
794 - 2 = 792
792 - 2 = 790

(c) 850, 750, 650, ___, ___
→ Each number decreases by 100.
650 - 100 = 550
550 - 100 = 450

(d) ___, 220, 210, 200, ___
→ Going backward by 10s.
Before 220: 220 + 10 = 230
After 200: 200 - 10 = 190

(e) 995, ___, 985, ___, 975
→ Decreasing by 5 each time? Let’s check:
995 to 985 is -10 over two steps → so maybe -5 per step?
995 - 5 = 990
985 - 5 = 980
Check: 995, 990, 985, 980, 975 → yes! Correct.

(f) ___, 353, 356, 359, ___
→ Increasing by 3 each time.
Before 353: 353 - 3 = 350
After 359: 359 + 3 = 362

(g) 297, 397, ___, 597, ___
→ Increases by 100 each time.
397 + 100 = 497
597 + 100 = 697

(h) ___, 728, 721, 714, ___
→ Decreases by 7 each time.
Before 728: 728 + 7 = 735
After 714: 714 - 7 = 707

(i) 418, 427, 436, ___, ___
→ Increases by 9 each time.
436 + 9 = 445
445 + 9 = 454

(j) 101, 201, ___, ___, ___
→ Increases by 100 each time.
201 + 100 = 301
301 + 100 = 401
401 + 100 = 501

(k) 556, ___, ___, 553, 552
→ Looks like decreasing by 1 near the end. But let’s see from start:
If it goes 556 → ? → ? → 553 → 552
Maybe decreasing by 1 each step? Then:
556, 555, 554, 553, 552 → Yes! That fits.

(l) ___, 445, 455, 465, ___
→ Increases by 10 each time.
Before 445: 445 - 10 = 435
After 465: 465 + 10 = 475

(m) 808, 810, ___, ___, 816
→ Increases by 2 each time.
810 + 2 = 812
812 + 2 = 814
Then 814 + 2 = 816 → correct.

(n) ___, 409, 399, 389, ___
→ Decreases by 10 each time.
Before 409: 409 + 10 = 419
After 389: 389 - 10 = 379

(o) 750, 700, ___, 600, ___
→ Decreases by 50 each time.
700 - 50 = 650
600 - 50 = 550

(p) ___, ___, 155, 170, 185
→ Increases by 15 each time.
Before 155: 155 - 15 = 140
Before that: 140 - 15 = 125

(q) 844, 840, 836, ___, ___
→ Decreases by 4 each time.
836 - 4 = 832
832 - 4 = 828

(r) ___, ___, 660, 720, 780
→ Increases by 60 each time.
Before 660: 660 - 60 = 600
Before that: 600 - 60 = 540

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Final 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