Let’s solve each number pattern step by step. We’ll look for the rule (like adding or subtracting a fixed number) and then fill in the missing numbers.
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(a)
Given: 20, 40, ____, ____, 100, ____, ____
Look at the difference between 20 and 40 → +20
So, keep adding 20:
20 → 40 →
60 →
80 → 100 →
120 →
140
✔ Pattern: Add 20 each time
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(b)
Given: 100, ____, 150, ____, ____, 225
From 100 to 150 is +50 over two steps → so maybe +25 each step?
Check:
100 →
125 → 150 →
175 →
200 → 225
Yes! That works.
✔ Pattern: Add 25 each time
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(c)
Given: 750, 700, 650, ____, ____, ____, ____, ____
Difference: 750 - 700 = 50; 700 - 650 = 50 → subtract 50 each time
So:
650 - 50 =
600
600 - 50 =
550
550 - 50 =
500
500 - 50 =
450
450 - 50 =
400
✔ Pattern: Subtract 50 each time
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(d)
Given: 320, 300, 280, ____, ____, ____, ____, ____
Difference: 320 - 300 = 20; 300 - 280 = 20 → subtract 20 each time
So:
280 - 20 =
260
260 - 20 =
240
240 - 20 =
220
220 - 20 =
200
200 - 20 =
180
✔ Pattern: Subtract 20 each time
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(e)
Given: 205, ____, ____, ____, 305, ____
From 205 to 305 is +100 over 4 steps → so +25 per step?
Check:
205 →
230 →
255 →
280 → 305 →
330
✔ Pattern: Add 25 each time
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(f)
Given: 16, 20, ____, ____, 32, 36, ____
Difference: 20 - 16 = 4 → add 4 each time
So:
20 + 4 =
24
24 + 4 =
28
Then 32, 36 → next is 36 + 4 =
40
✔ Pattern: Add 4 each time
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(g)
Given: 270, 240, 210, ____, ____, ____, ____, ____
Difference: 270 - 240 = 30; 240 - 210 = 30 → subtract 30 each time
So:
210 - 30 =
180
180 - 30 =
150
150 - 30 =
120
120 - 30 =
90
90 - 30 =
60
✔ Pattern: Subtract 30 each time
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(h)
Given: 111, 121, 131, ____, ____, ____, ____, ____
Difference: 121 - 111 = 10; 131 - 121 = 10 → add 10 each time
So:
131 + 10 =
141
141 + 10 =
151
151 + 10 =
161
161 + 10 =
171
171 + 10 =
181
✔ Pattern: Add 10 each time
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(i) — Note: This is labeled as (f) again in the image, but we’ll call it (i) to avoid confusion
Given: 99, 89, ____, ____, ____, 49, ____
Difference: 99 - 89 = 10 → subtract 10 each time
So:
89 - 10 =
79
79 - 10 =
69
69 - 10 =
59
Then 59 - 10 = 49
✔ matches given
Next: 49 - 10 =
39
✔ Pattern: Subtract 10 each time
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(j) — Also labeled (f) in image, we’ll call it (j)
Given: 55, 60, ____, ____, ____, ____, ____
Difference: 60 - 55 = 5 → add 5 each time
So:
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
(d) 260, 240, 220, 200, 180
(e) 230, 255, 280, 330
(f) 24, 28, 40
(g) 180, 150, 120, 90, 60
(h) 141, 151, 161, 171, 181
(i) 79, 69, 59, 39
(j) 65, 70, 75, 80, 85
Parent Tip: Review the logic above to help your child master the concept of worksheet for 3.
