This Grade II mathematics worksheet helps students practice identifying number patterns and filling in missing values in a series.

Problem Analysis:

The task involves filling in missing numbers in sequences and identifying patterns. Let's solve each part step by step.

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Part 1: Fill in the missing numbers

#### Question 1:
Sequence: \( 68, \_, \_, \_, 73, \_ \)

- Pattern Identification: The sequence starts at 68 and ends at 73. To find the pattern, we need to determine the difference between consecutive terms.
- The difference between 73 and 68 is \( 73 - 68 = 5 \).
- This suggests that the sequence increases by 1 each time.

- Filling in the missing numbers:
- Starting from 68: \( 68 + 1 = 69 \)
- Next: \( 69 + 1 = 70 \)
- Next: \( 70 + 1 = 71 \)
- Next: \( 71 + 1 = 72 \)
- Finally: \( 72 + 1 = 73 \) (already given)
- Next: \( 73 + 1 = 74 \)

- Completed Sequence: \( 68, 69, 70, 71, 72, 73, 74 \)

#### Question 2:
Sequence: \( 43, \_, \_, 46, \_, \_ \)

- Pattern Identification: The sequence includes 43 and 46. The difference between 46 and 43 is \( 46 - 43 = 3 \). This suggests the sequence increases by 1 each time.

- Filling in the missing numbers:
- Starting from 43: \( 43 + 1 = 44 \)
- Next: \( 44 + 1 = 45 \)
- Next: \( 45 + 1 = 46 \) (already given)
- Next: \( 46 + 1 = 47 \)
- Next: \( 47 + 1 = 48 \)

- Completed Sequence: \( 43, 44, 45, 46, 47, 48 \)

#### Question 3:
Sequence: \( 22, \_, \_, 26, \_, \_ \)

- Pattern Identification: The sequence includes 22 and 26. The difference between 26 and 22 is \( 26 - 22 = 4 \). This suggests the sequence increases by 1 each time.

- Filling in the missing numbers:
- Starting from 22: \( 22 + 1 = 23 \)
- Next: \( 23 + 1 = 24 \)
- Next: \( 24 + 1 = 25 \)
- Next: \( 25 + 1 = 26 \) (already given)
- Next: \( 26 + 1 = 27 \)
- Next: \( 27 + 1 = 28 \)

- Completed Sequence: \( 22, 23, 24, 25, 26, 27, 28 \)

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Part 2: Observe the pattern and complete the series

#### Question 1:
Sequence: \( 15, 20, 25, \_, \_, \_ \)

- Pattern Identification: The difference between consecutive terms is:
- \( 20 - 15 = 5 \)
- \( 25 - 20 = 5 \)
- The sequence increases by 5 each time.

- Filling in the missing numbers:
- Next: \( 25 + 5 = 30 \)
- Next: \( 30 + 5 = 35 \)
- Next: \( 35 + 5 = 40 \)

- Completed Sequence: \( 15, 20, 25, 30, 35, 40 \)

#### Question 2:
Sequence: \( 6, 8, 10, \_, \_, \_ \)

- Pattern Identification: The difference between consecutive terms is:
- \( 8 - 6 = 2 \)
- \( 10 - 8 = 2 \)
- The sequence increases by 2 each time.

- Filling in the missing numbers:
- Next: \( 10 + 2 = 12 \)
- Next: \( 12 + 2 = 14 \)
- Next: \( 14 + 2 = 16 \)

- Completed Sequence: \( 6, 8, 10, 12, 14, 16 \)

#### Question 3:
Sequence: \( 9, 12, 15, \_, \_, \_ \)

- Pattern Identification: The difference between consecutive terms is:
- \( 12 - 9 = 3 \)
- \( 15 - 12 = 3 \)
- The sequence increases by 3 each time.

- Filling in the missing numbers:
- Next: \( 15 + 3 = 18 \)
- Next: \( 18 + 3 = 21 \)
- Next: \( 21 + 3 = 24 \)

- Completed Sequence: \( 9, 12, 15, 18, 21, 24 \)

#### Question 4:
Sequence: \( 21, 25, 29, \_, \_, \_ \)

- Pattern Identification: The difference between consecutive terms is:
- \( 25 - 21 = 4 \)
- \( 29 - 25 = 4 \)
- The sequence increases by 4 each time.

- Filling in the missing numbers:
- Next: \( 29 + 4 = 33 \)
- Next: \( 33 + 4 = 37 \)
- Next: \( 37 + 4 = 41 \)

- Completed Sequence: \( 21, 25, 29, 33, 37, 41 \)

#### Question 5:
Sequence: \( 33, 36, 39, \_, \_, \_ \)

- Pattern Identification: The difference between consecutive terms is:
- \( 36 - 33 = 3 \)
- \( 39 - 36 = 3 \)
- The sequence increases by 3 each time.

- Filling in the missing numbers:
- Next: \( 39 + 3 = 42 \)
- Next: \( 42 + 3 = 45 \)
- Next: \( 45 + 3 = 48 \)

- Completed Sequence: \( 33, 36, 39, 42, 45, 48 \)

#### Question 6:
Sequence: \( 20, 30, 40, \_, \_, \_ \)

- Pattern Identification: The difference between consecutive terms is:
- \( 30 - 20 = 10 \)
- \( 40 - 30 = 10 \)
- The sequence increases by 10 each time.

- Filling in the missing numbers:
- Next: \( 40 + 10 = 50 \)
- Next: \( 50 + 10 = 60 \)
- Next: \( 60 + 10 = 70 \)

- Completed Sequence: \( 20, 30, 40, 50, 60, 70 \)

#### Question 7:
Sequence: \( 4, 8, 12, \_, \_, \_ \)

- Pattern Identification: The difference between consecutive terms is:
- \( 8 - 4 = 4 \)
- \( 12 - 8 = 4 \)
- The sequence increases by 4 each time.

- Filling in the missing numbers:
- Next: \( 12 + 4 = 16 \)
- Next: \( 16 + 4 = 20 \)
- Next: \( 20 + 4 = 24 \)

- Completed Sequence: \( 4, 8, 12, 16, 20, 24 \)

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Final Answers:

1. \( 68, 69, 70, 71, 72, 73, 74 \)
2. \( 43, 44, 45, 46, 47, 48 \)
3. \( 22, 23, 24, 25, 26, 27, 28 \)
4. \( 15, 20, 25, 30, 35, 40 \)
5. \( 6, 8, 10, 12, 14, 16 \)
6. \( 9, 12, 15, 18, 21, 24 \)
7. \( 21, 25, 29, 33, 37, 41 \)
8. \( 33, 36, 39, 42, 45, 48 \)
9. \( 20, 30, 40, 50, 60, 70 \)
10. \( 4, 8, 12, 16, 20, 24 \)

\boxed{
\begin{aligned}
&1. 68, 69, 70, 71, 72, 73, 74 \\
&2. 43, 44, 45, 46, 47, 48 \\
&3. 22, 23, 24, 25, 26, 27, 28 \\
&4. 15, 20, 25, 30, 35, 40 \\
&5. 6, 8, 10, 12, 14, 16 \\
&6. 9, 12, 15, 18, 21, 24 \\
&7. 21, 25, 29, 33, 37, 41 \\
&8. 33, 36, 39, 42, 45, 48 \\
&9. 20, 30, 40, 50, 60, 70 \\
&10. 4, 8, 12, 16, 20, 24
\end{aligned}
}