Patterns online worksheet for Grade 5 - Free Printable
Educational worksheet: Patterns online worksheet for Grade 5. Download and print for classroom or home learning activities.
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Step-by-step solution for: Patterns online worksheet for Grade 5
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Show Answer Key & Explanations
Step-by-step solution for: Patterns online worksheet for Grade 5
Let’s solve each number pattern step by step. We’ll look for the rule — like adding or subtracting the same number each time — and then fill in the blanks.
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(a) 20, 40, ____, ____, 100, ____, ____
→ From 20 to 40: +20
So next: 40 + 20 = 60
Then: 60 + 20 = 80
Then: 80 + 20 = 100 (matches!)
Then: 100 + 20 = 120
Then: 120 + 20 = 140
✔ Pattern: Add 20 each time.
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(b) 100, ____, 150, ____, ____, 225
→ From 100 to 150 is two steps → so each step is (150 - 100) ÷ 2 = 25
Check: 100 + 25 = 125
125 + 25 = 150 ✔️
150 + 25 = 175
175 + 25 = 200
200 + 25 = 225 ✔️
✔ Pattern: Add 25 each time.
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(c) 750, 700, 650, ____, ____, ____, ____, ____, ____
→ 750 to 700: -50
700 to 650: -50
So keep subtracting 50:
650 - 50 = 600
600 - 50 = 550
550 - 50 = 500
500 - 50 = 450
450 - 50 = 400
400 - 50 = 350
✔ Pattern: Subtract 50 each time.
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(d) 320, 300, 280, ____, ____, ____, ____, ____, ____
→ 320 to 300: -20
300 to 280: -20
So subtract 20 each time:
280 - 20 = 260
260 - 20 = 240
240 - 20 = 220
220 - 20 = 200
200 - 20 = 180
180 - 20 = 160
✔ Pattern: Subtract 20 each time.
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(e) 205, ____, ____, ____, 305, ____
→ From 205 to 305 is 4 steps → difference = 100 → each step = 100 ÷ 4 = 25
205 + 25 = 230
230 + 25 = 255
255 + 25 = 280
280 + 25 = 305 ✔️
305 + 25 = 330
✔ Pattern: Add 25 each time.
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(f) 16, 20, ____, ____, 32, 36, ____
→ 16 to 20: +4
So add 4 each time:
20 + 4 = 24
24 + 4 = 28
28 + 4 = 32 ✔️
32 + 4 = 36 ✔️
36 + 4 = 40
✔ Pattern: Add 4 each time.
*(Note: There are two “(f)”s — we’ll do both. This is the first one with triangles.)*
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(g) 270, 240, 210, ____, ____, ____, ____, ____, ____
→ 270 to 240: -30
240 to 210: -30
Subtract 30 each time:
210 - 30 = 180
180 - 30 = 150
150 - 30 = 120
120 - 30 = 90
90 - 30 = 60
60 - 30 = 30
✔ Pattern: Subtract 30 each time.
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(h) 111, 121, 131, ____, ____, ____, ____, ____, ____
→ 111 to 121: +10
121 to 131: +10
Add 10 each time:
131 + 10 = 141
141 + 10 = 151
151 + 10 = 161
161 + 10 = 171
171 + 10 = 181
181 + 10 = 191
✔ Pattern: Add 10 each time.
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(i) [Second (f) — stars] 99, 89, ____, ____, ____, 49, ____
→ 99 to 89: -10
So subtract 10 each time:
89 - 10 = 79
79 - 10 = 69
69 - 10 = 59
59 - 10 = 49 ✔️
49 - 10 = 39
✔ Pattern: Subtract 10 each time.
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(j) [Third (f) — hexagons] 55, 60, ____, ____, ____, ____, ____
→ 55 to 60: +5
Add 5 each time:
60 + 5 = 65
65 + 5 = 70
70 + 5 = 75
75 + 5 = 80
80 + 5 = 85
✔ Pattern: Add 5 each time.
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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) [triangles] 24, 28, 40
(g) 180, 150, 120, 90, 60, 30
(h) 141, 151, 161, 171, 181, 191
(i) [stars] 79, 69, 59, 39
(j) [hexagons] 65, 70, 75, 80, 85
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(a) 20, 40, ____, ____, 100, ____, ____
→ From 20 to 40: +20
So next: 40 + 20 = 60
Then: 60 + 20 = 80
Then: 80 + 20 = 100 (matches!)
Then: 100 + 20 = 120
Then: 120 + 20 = 140
✔ Pattern: Add 20 each time.
---
(b) 100, ____, 150, ____, ____, 225
→ From 100 to 150 is two steps → so each step is (150 - 100) ÷ 2 = 25
Check: 100 + 25 = 125
125 + 25 = 150 ✔️
150 + 25 = 175
175 + 25 = 200
200 + 25 = 225 ✔️
✔ Pattern: Add 25 each time.
---
(c) 750, 700, 650, ____, ____, ____, ____, ____, ____
→ 750 to 700: -50
700 to 650: -50
So keep subtracting 50:
650 - 50 = 600
600 - 50 = 550
550 - 50 = 500
500 - 50 = 450
450 - 50 = 400
400 - 50 = 350
✔ Pattern: Subtract 50 each time.
---
(d) 320, 300, 280, ____, ____, ____, ____, ____, ____
→ 320 to 300: -20
300 to 280: -20
So subtract 20 each time:
280 - 20 = 260
260 - 20 = 240
240 - 20 = 220
220 - 20 = 200
200 - 20 = 180
180 - 20 = 160
✔ Pattern: Subtract 20 each time.
---
(e) 205, ____, ____, ____, 305, ____
→ From 205 to 305 is 4 steps → difference = 100 → each step = 100 ÷ 4 = 25
205 + 25 = 230
230 + 25 = 255
255 + 25 = 280
280 + 25 = 305 ✔️
305 + 25 = 330
✔ Pattern: Add 25 each time.
---
(f) 16, 20, ____, ____, 32, 36, ____
→ 16 to 20: +4
So add 4 each time:
20 + 4 = 24
24 + 4 = 28
28 + 4 = 32 ✔️
32 + 4 = 36 ✔️
36 + 4 = 40
✔ Pattern: Add 4 each time.
*(Note: There are two “(f)”s — we’ll do both. This is the first one with triangles.)*
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(g) 270, 240, 210, ____, ____, ____, ____, ____, ____
→ 270 to 240: -30
240 to 210: -30
Subtract 30 each time:
210 - 30 = 180
180 - 30 = 150
150 - 30 = 120
120 - 30 = 90
90 - 30 = 60
60 - 30 = 30
✔ Pattern: Subtract 30 each time.
---
(h) 111, 121, 131, ____, ____, ____, ____, ____, ____
→ 111 to 121: +10
121 to 131: +10
Add 10 each time:
131 + 10 = 141
141 + 10 = 151
151 + 10 = 161
161 + 10 = 171
171 + 10 = 181
181 + 10 = 191
✔ Pattern: Add 10 each time.
---
(i) [Second (f) — stars] 99, 89, ____, ____, ____, 49, ____
→ 99 to 89: -10
So subtract 10 each time:
89 - 10 = 79
79 - 10 = 69
69 - 10 = 59
59 - 10 = 49 ✔️
49 - 10 = 39
✔ Pattern: Subtract 10 each time.
---
(j) [Third (f) — hexagons] 55, 60, ____, ____, ____, ____, ____
→ 55 to 60: +5
Add 5 each time:
60 + 5 = 65
65 + 5 = 70
70 + 5 = 75
75 + 5 = 80
80 + 5 = 85
✔ Pattern: Add 5 each time.
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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) [triangles] 24, 28, 40
(g) 180, 150, 120, 90, 60, 30
(h) 141, 151, 161, 171, 181, 191
(i) [stars] 79, 69, 59, 39
(j) [hexagons] 65, 70, 75, 80, 85
Parent Tip: Review the logic above to help your child master the concept of patterns worksheet grade 5.
