Patterns online worksheet for Grade 5 - Free Printable

Let’s solve each number pattern step by step. We’ll look at how the numbers change from one to the next — that’s called the “pattern” or “rule”.

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(a)
20, 40, ____, ____, 100, ____, ____
→ From 20 to 40: +20
So we keep adding 20:
40 + 20 = 60
60 + 20 = 80
80 + 20 = 100 (matches!)
100 + 20 = 120
120 + 20 = 140

✔ Answer: 60, 80, 120, 140

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(b)
100, ____, 150, ____, ____, 225
→ Let’s see the jump from 100 to 150: that’s +50 over 2 steps → so maybe +25 each time?
Check:
100 + 25 = 125
125 + 25 = 150 ✔
150 + 25 = 175
175 + 25 = 200
200 + 25 = 225 ✔

✔ Answer: 125, 175, 200

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(c)
750, 700, 650, ____, ____, ____, ____, ____, ____
→ Each time subtract 50:
750 - 50 = 700
700 - 50 = 650
650 - 50 = 600
600 - 50 = 550
550 - 50 = 500
500 - 50 = 450
450 - 50 = 400
400 - 50 = 350

✔ Answer: 600, 550, 500, 450, 400, 350

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(d)
320, 300, 280, ____, ____, ____, ____, ____, ____
→ Subtract 20 each time:
320 - 20 = 300
300 - 20 = 280
280 - 20 = 260
260 - 20 = 240
240 - 20 = 220
220 - 20 = 200
200 - 20 = 180
180 - 20 = 160

✔ Answer: 260, 240, 220, 200, 180, 160

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(e)
205, ____, ____, ____, 305, ____
→ From 205 to 305 is +100 over 4 steps → so +25 each step?
Check:
205 + 25 = 230
230 + 25 = 255
255 + 25 = 280
280 + 25 = 305 ✔
305 + 25 = 330

✔ Answer: 230, 255, 280, 330

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(f)
16, 20, ____, ____, 32, 36, ____
→ Add 4 each time:
16 + 4 = 20
20 + 4 = 24
24 + 4 = 28
28 + 4 = 32 ✔
32 + 4 = 36 ✔
36 + 4 = 40

✔ Answer: 24, 28, 40

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(g)
270, 240, 210, ____, ____, ____, ____, ____, ____
→ Subtract 30 each time:
270 - 30 = 240
240 - 30 = 210
210 - 30 = 180
180 - 30 = 150
150 - 30 = 120
120 - 30 = 90
90 - 30 = 60
60 - 30 = 30

✔ Answer: 180, 150, 120, 90, 60, 30

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(h)
111, 121, 131, ____, ____, ____, ____, ____, ____
→ Add 10 each time:
111 + 10 = 121
121 + 10 = 131
131 + 10 = 141
141 + 10 = 151
151 + 10 = 161
161 + 10 = 171
171 + 10 = 181
181 + 10 = 191

✔ Answer: 141, 151, 161, 171, 181, 191

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(i) [labeled as f again]
99, 89, ____, ____, ____, 49, ____
→ Subtract 10 each time:
99 - 10 = 89
89 - 10 = 79
79 - 10 = 69
69 - 10 = 59
59 - 10 = 49 ✔
49 - 10 = 39

✔ Answer: 79, 69, 59, 39

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(j) [also labeled f]
55, 60, ____, ____, ____, ____, ____
→ Add 5 each time:
55 + 5 = 60
60 + 5 = 65
65 + 5 = 70
70 + 5 = 75
75 + 5 = 80
80 + 5 = 85

✔ Answer: 65, 70, 75, 80, 85

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Final Answer:

(a) 60, 80, 120, 140
(b) 125, 175, 200
(c) 600, 550, 500, 450, 400, 350
(d) 260, 240, 220, 200, 180, 160
(e) 230, 255, 280, 330
(f) 24, 28, 40
(g) 180, 150, 120, 90, 60, 30
(h) 141, 151, 161, 171, 181, 191
(i) 79, 69, 59, 39
(j) 65, 70, 75, 80, 85