Let's solve each number pattern step by step and fill in the missing numbers.
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1. 2, 4, 6, 8, 10, __, __, __, __
- Pattern: Increasing by
+2 each time.
- Next numbers:
10 + 2 =
12,
12 + 2 =
14,
14 + 2 =
16,
16 + 2 =
18
✔ Answer: 12, 14, 16, 18
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2. 17, 19, 21, 23, 25, __, __, __, __
- Pattern: Increasing by
+2 each time.
- Next numbers:
25 + 2 =
27,
27 + 2 =
29,
29 + 2 =
31,
31 + 2 =
33
✔ Answer: 27, 29, 31, 33
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3. 48, 44, 40, 36, 32, __, __, __, __
- Pattern: Decreasing by
–4 each time.
- Next numbers:
32 – 4 =
28,
28 – 4 =
24,
24 – 4 =
20,
20 – 4 =
16
✔ Answer: 28, 24, 20, 16
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4. 10, 15, 20, 25, 30, __, __, __, __
- Pattern: Increasing by
+5 each time.
- Next numbers:
30 + 5 =
35,
35 + 5 =
40,
40 + 5 =
45,
45 + 5 =
50
✔ Answer: 35, 40, 45, 50
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5. 27, 25, 23, 21, 19, __, __, __, __
- Pattern: Decreasing by
–2 each time.
- Next numbers:
19 – 2 =
17,
17 – 2 =
15,
15 – 2 =
13,
13 – 2 =
11
✔ Answer: 17, 15, 13, 11
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6. 6, 12, 18, 24, 30, __, __, __, __
- Pattern: Increasing by
+6 each time.
- Next numbers:
30 + 6 =
36,
36 + 6 =
42,
42 + 6 =
48,
48 + 6 =
54
✔ Answer: 36, 42, 48, 54
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7. 1, 3, 5, 7, 9, __, __, __, __
- Pattern: Increasing by
+2 each time (odd numbers).
- Next numbers:
9 + 2 =
11,
11 + 2 =
13,
13 + 2 =
15,
15 + 2 =
17
✔ Answer: 11, 13, 15, 17
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8. 40, 38, 36, 34, 32, __, __, __, __
- Pattern: Decreasing by
–2 each time.
- Next numbers:
32 – 2 =
30,
30 – 2 =
28,
28 – 2 =
26,
26 – 2 =
24
✔ Answer: 30, 28, 26, 24
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9. 12, 15, 18, 21, 24, __, __, __, __
- Pattern: Increasing by
+3 each time.
- Next numbers:
24 + 3 =
27,
27 + 3 =
30,
30 + 3 =
33,
33 + 3 =
36
✔ Answer: 27, 30, 33, 36
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10. 32, 30, 28, 26, 24, __, __, __, __
- Pattern: Decreasing by
–2 each time.
- Next numbers:
24 – 2 =
22,
22 – 2 =
20,
20 – 2 =
18,
18 – 2 =
16
✔ Answer: 22, 20, 18, 16
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✔ Final Answers:
1.
12, 14, 16, 18
2.
27, 29, 31, 33
3.
28, 24, 20, 16
4.
35, 40, 45, 50
5.
17, 15, 13, 11
6.
36, 42, 48, 54
7.
11, 13, 15, 17
8.
30, 28, 26, 24
9.
27, 30, 33, 36
10.
22, 20, 18, 16
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Explanation Summary:
Each sequence follows a consistent arithmetic pattern (either increasing or decreasing by a fixed amount). We identified the common difference between consecutive terms and used it to extend the sequence.
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Parent Tip: Review the logic above to help your child master the concept of mathematics number patterns worksheet.
