Let’s solve each number pattern one by one. We’ll look at how the numbers change from left to right and find the rule — like adding, subtracting, or multiplying by a certain number.
---
Problem 1: 7, 14, 21, 28, __, __, __
Look:
14 - 7 = 7
21 - 14 = 7
28 - 21 = 7
→ So we’re adding 7 each time.
Next:
28 + 7 =
35
35 + 7 =
42
42 + 7 =
49
✔ Answer for #1: 35, 42, 49
---
Problem 2: 15, 25, 35, __, __, __, __
25 - 15 = 10
35 - 25 = 10
→ Adding 10 each time.
Next:
35 + 10 =
45
45 + 10 =
55
55 + 10 =
65
65 + 10 =
75
✔ Answer for #2: 45, 55, 65, 75
---
Problem 3: 8, 12, 16, 20, __, __, __
12 - 8 = 4
16 - 12 = 4
20 - 16 = 4
→ Adding 4 each time.
Next:
20 + 4 =
24
24 + 4 =
28
28 + 4 =
32
✔ Answer for #3: 24, 28, 32
---
Problem 4: 50, 48, 46, 44, __, __, __
48 - 50 = -2 → subtracting 2
46 - 48 = -2
44 - 46 = -2
→ Subtracting 2 each time.
Next:
44 - 2 =
42
42 - 2 =
40
40 - 2 =
38
✔ Answer for #4: 42, 40, 38
---
Problem 5: 99, 90, 81, 72, __, __, __
90 - 99 = -9
81 - 90 = -9
72 - 81 = -9
→ Subtracting 9 each time.
Next:
72 - 9 =
63
63 - 9 =
54
54 - 9 =
45
✔ Answer for #5: 63, 54, 45
---
Problem 6: 3, 6, 9, 12, 15, __, __
6 - 3 = 3
9 - 6 = 3
12 - 9 = 3
15 - 12 = 3
→ Adding 3 each time.
Next:
15 + 3 =
18
18 + 3 =
21
✔ Answer for #6: 18, 21
---
Problem 7: 15, 30, 45, 60, __, __, __
30 - 15 = 15
45 - 30 = 15
60 - 45 = 15
→ Adding 15 each time.
Next:
60 + 15 =
75
75 + 15 =
90
90 + 15 =
105
✔ Answer for #7: 75, 90, 105
---
Problem 8: 40, 60, 80, __, __, __, __
60 - 40 = 20
80 - 60 = 20
→ Adding 20 each time.
Next:
80 + 20 =
100
100 + 20 =
120
120 + 20 =
140
140 + 20 =
160
✔ Answer for #8: 100, 120, 140, 160
---
Problem 9: 80, 70, 60, __, __, __, __
70 - 80 = -10
60 - 70 = -10
→ Subtracting 10 each time.
Next:
60 - 10 =
50
50 - 10 =
40
40 - 10 =
30
30 - 10 =
20
✔ Answer for #9: 50, 40, 30, 20
---
Problem 10: 0, 11, 22, 33, __, __, __
11 - 0 = 11
22 - 11 = 11
33 - 22 = 11
→ Adding 11 each time.
Next:
33 + 11 =
44
44 + 11 =
55
55 + 11 =
66
✔ Answer for #10: 44, 55, 66
---
Final Answer:
1. 35, 42, 49
2. 45, 55, 65, 75
3. 24, 28, 32
4. 42, 40, 38
5. 63, 54, 45
6. 18, 21
7. 75, 90, 105
8. 100, 120, 140, 160
9. 50, 40, 30, 20
10. 44, 55, 66
Parent Tip: Review the logic above to help your child master the concept of patterning worksheet grade 3.
