Let's solve each number sequence step by step. The goal is to identify the pattern in each sequence and fill in the missing numbers.
---
a) 0, 3, 6, 9, 12, ___
- Pattern: Each number increases by
+3.
- 12 + 3 =
15
-
✔ Answer: 15
---
b) 24, 26, ___, ___, 32, 34
- Pattern: Increases by
+2.
- 26 → 28 → 30 → 32
- So missing numbers are
28 and
30
-
✔ Answer: 28, 30
---
c) 15, 13, 11, 9, 7, ___
- Pattern: Decreases by
-2.
- 7 - 2 =
5
-
✔ Answer: 5
---
d) 45, 55, 65, 75, ___, ___
- Pattern: Increases by
+10.
- 75 + 10 = 85
- 85 + 10 = 95
-
✔ Answer: 85, 95
---
e) ___, 50, 48, 46, ___, 42
- Pattern: Decreases by
-2.
- Before 50: 50 + 2 =
52
- After 46: 46 - 2 =
44
- Sequence: 52, 50, 48, 46, 44, 42
-
✔ Answer: 52, 44
---
f) 35, ___, 45, ___, 55, 60
- Pattern: Let’s look at known values:
- 35 → ? → 45 → ? → 55 → 60
- From 35 to 45 is
+10, so likely increasing by
+5 each time.
- Check: 35 → 40 → 45 → 50 → 55 → 60
✔
- Missing numbers:
40 and
50
-
✔ Answer: 40, 50
---
g) 65, 68, 71, ___, 77, ___
- Pattern: Increases by
+3
- 71 + 3 =
74
- 77 + 3 =
80
-
✔ Answer: 74, 80
---
h) 73, 70, ___, ___, 61, 58
- Pattern: Decreases by
-3
- 70 - 3 = 67
- 67 - 3 = 64
- Check: 73 → 70 → 67 → 64 → 61 → 58
✔
-
✔ Answer: 67, 64
---
i) 89, 79, 69, ___, ___, ___
- Pattern: Decreases by
-10
- 69 - 10 = 59
- 59 - 10 = 49
- 49 - 10 = 39
-
✔ Answer: 59, 49, 39
---
j) 75, ___, ___, ___, 55, 50
- Pattern: Decreases by
-5
- 75 → 70 → 65 → 60 → 55 → 50
✔
- Missing numbers:
70, 65, 60
-
✔ Answer: 70, 65, 60
---
✔ Final Answers:
| Letter | Missing Numbers |
|--------|------------------|
| a) | 15 |
| b) | 28, 30 |
| c) | 5 |
| d) | 85, 95 |
| e) | 52, 44 |
| f) | 40, 50 |
| g) | 74, 80 |
| h) | 67, 64 |
| i) | 59, 49, 39 |
| j) | 70, 65, 60 |
All sequences follow simple arithmetic patterns (addition or subtraction of a constant). Just identify the difference between consecutive numbers and apply it!
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet year 2.
