Let’s solve each problem step by step. We’re looking for patterns in the numbers — usually adding or subtracting a constant amount, or sometimes changing the pattern slightly.
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Problem 1:
Sequence: 2, 12, 22, 32, 42, ?, ?
Look at the differences:
12 - 2 = 10
22 - 12 = 10
32 - 22 = 10
42 - 32 = 10
So it’s increasing by 10 each time.
Next number: 42 + 10 =
52
Then: 52 + 10 =
62
Answer:
D. 52, 62
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Problem 2:
Sequence: 36, 45, 54, 63, 72, ?, ?
Differences:
45 - 36 = 9
54 - 45 = 9
63 - 54 = 9
72 - 63 = 9
Increasing by 9 each time.
Next: 72 + 9 =
81
Then: 81 + 9 =
90
But wait — look at the options:
A. 81, 90 → matches!
B. 90, 99
C. 79, 92
D. 63, 54
Wait — option A is 81, 90 — that’s correct.
But let me double-check: 72 + 9 = 81, 81 + 9 = 90 → yes.
Answer:
A. 81, 90
*(Note: In the original image, option A says “81, 90” — so we go with that.)*
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Problem 3:
Sequence: 10, 12, 14, 16, 18, ?, ?
Differences: all +2
Next: 18 + 2 =
20
Then: 20 + 2 =
22
Answer:
A. 20, 22
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Problem 4:
Sequence: 39, 47, 55, 63, 71, ?, ?
Differences:
47 - 39 = 8
55 - 47 = 8
63 - 55 = 8
71 - 63 = 8
Add 8 each time.
Next: 71 + 8 =
79
Then: 79 + 8 =
87
Check options:
A. 87, 95
B. 63, 55
C. 79, 87 ← this matches
D. 81, 85
Answer:
C. 79, 87
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Problem 5:
Sequence: 88, 80, 72, 64, 56, ?, ?
Differences:
80 - 88 = -8
72 - 80 = -8
64 - 72 = -8
56 - 64 = -8
Subtract 8 each time.
Next: 56 - 8 =
48
Then: 48 - 8 =
40
Options:
A. 40, 32
B. 48, 56
C. 48, 40 ← matches
D. 46, 38
Answer:
C. 48, 40
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Problem 6:
Sequence: 51, 45, 39, 33, 27, ?, ?
Differences:
45 - 51 = -6
39 - 45 = -6
33 - 39 = -6
27 - 33 = -6
Subtract 6 each time.
Next: 27 - 6 =
21
Then: 21 - 6 =
15
Options:
A. 21, 15 ← matches
B. 21, 27
C. 22, 17
D. 15, 9
Answer:
A. 21, 15
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Problem 7:
Sequence: 55, 49, 43, 37, 31, ?, ?
Differences:
49 - 55 = -6
43 - 49 = -6
37 - 43 = -6
31 - 37 = -6
Subtract 6 each time.
Next: 31 - 6 =
25
Then: 25 - 6 =
19
Options:
A. 19, 13
B. 25, 31
C. 25, 19 ← matches
D. 26, 18
Answer:
C. 25, 19
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Problem 8:
Sequence: 41, 43, 45, 47, 49, ?, ?
Differences: all +2
Next: 49 + 2 =
51
Then: 51 + 2 =
53
Options:
A. 47, 45
B. 51, 53 ← matches
C. 53, 55
D. 49, 52
Answer:
B. 51, 53
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Problem 9:
Sequence: 26, 34, 42, 50, 58, ?, ?
Differences:
34 - 26 = 8
42 - 34 = 8
50 - 42 = 8
58 - 50 = 8
Add 8 each time.
Next: 58 + 8 =
66
Then: 66 + 8 =
74
Options:
A. 66, 74 ← matches
B. 74, 82
C. 50, 42
D. 64, 75
Answer:
A. 66, 74
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Problem 10:
Sequence: 35, 32, 29, 26, 23, ?, ?
Differences:
32 - 35 = -3
29 - 32 = -3
26 - 29 = -3
23 - 26 = -3
Subtract 3 each time.
Next: 23 - 3 =
20
Then: 20 - 3 =
17
Options:
A. 20, 23
B. 17, 14
C. 20, 17 ← matches
D. 21, 19
Answer:
C. 20, 17
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Final Answer:
1. D
2. A
3. A
4. C
5. C
6. A
7. C
8. B
9. A
10. C
Parent Tip: Review the logic above to help your child master the concept of 4 oa 5 worksheet.
