Let’s solve each number pattern step by step. We’ll look for the rule — like adding or subtracting the same number each time, or counting by 5s, 10s, etc.
---
(a) 20, 40, ___, ___, 100, ___, ___
→ From 20 to 40: +20
So we add 20 each time:
20 → 40 →
60 →
80 → 100 →
120 →
140
✔ Check: 20, 40, 60, 80, 100, 120, 140 — yes, adds 20 each time.
---
(b) 100, ___, 150, ___, ___, 225
→ Let’s see: from 100 to 150 is +50 over 2 steps → so maybe +25 each step?
Try:
100 →
125 → 150 →
175 →
200 → 225
✔ Yes! Adds 25 each time.
---
(c) 750, 700, 650, ___, ___, ___, ___, ___, ___
→ Each time: -50
750 → 700 → 650 →
600 →
550 →
500 →
450 →
400 →
350
✔ Count down by 50s.
---
(d) 320, 300, 280, ___, ___, ___, ___, ___, ___
→ Each time: -20
320 → 300 → 280 →
260 →
240 →
220 →
200 →
180 →
160
✔ Subtract 20 each time.
---
(e) 205, ___, ___, ___, 305, ___
→ From 205 to 305 is +100 over 4 steps → so +25 each step?
Check:
205 →
230 →
255 →
280 → 305 →
330
Wait — let’s check difference:
305 - 205 = 100
Number of gaps between them: 4 (from 1st to 5th term) → 100 ÷ 4 = 25 → yes!
So:
205 →
230 →
255 →
280 → 305 →
330
✔ Adds 25 each time.
---
(f) 16, 20, ___, ___, 32, 36, ___
→ 16 to 20: +4
Then should be:
20 →
24 →
28 → 32 → 36 →
40
✔ Adds 4 each time.
---
(g) 270, 240, 210, ___, ___, ___, ___, ___, ___
→ Each time: -30
270 → 240 → 210 →
180 →
150 →
120 →
90 →
60 →
30
✔ Subtract 30 each time.
---
(h) 111, 121, 131, ___, ___, ___, ___, ___, ___
→ Each time: +10
111 → 121 → 131 →
141 →
151 →
161 →
171 →
181 →
191
✔ Add 10 each time.
---
Now there are three more labeled
(f) again — probably a typo in worksheet. Let’s do them as given:
First extra
(f) with stars:
99, 89, ___, ___, ___, 49, ___
→ 99 to 89: -10
So subtract 10 each time:
99 → 89 →
79 →
69 →
59 → 49 →
39
✔ Correct.
Second extra
(f) with hexagons:
55, 60, ___, ___, ___, ___, ___
→ 55 to 60: +5
Add 5 each time:
55 → 60 →
65 →
70 →
75 →
80 →
85
✔ Correct.
---
Final Answers:
(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
(f) [stars] 79, 69, 59, 39
(f) [hexagons] 65, 70, 75, 80, 85
──────────────────────────────────────
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
(f) 79, 69, 59, 39
(f) 65, 70, 75, 80, 85
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet 5th grade.