CBSE Class 2 Math Patterns Worksheet with Solutions - Free Printable

Problem Analysis and Solution

The image contains two tasks. Let's solve them step by step.

---

#### Task 1: Find the next three numbers

The first task involves a grid of numbers with some missing entries. The grid is as follows:

```
1 2 3 ? ?
16 9 8 ? ?
7 9 10 ? ?
20 19 18 ? ?
22 23 24 ? ?
```

We need to identify the pattern and fill in the missing numbers.

##### Step 1: Analyze the grid
- The grid appears to be filled row by row.
- Each row seems to follow a specific pattern, but we need to determine what that pattern is.

##### Step 2: Examine each row
1. First row: `1, 2, 3, ?, ?`
- This looks like a simple sequence of consecutive integers starting from 1.
- The next two numbers are `4` and `5`.

2. Second row: `16, 9, 8, ?, ?`
- This row does not follow a simple arithmetic or geometric progression.
- Upon closer inspection, the numbers seem to be decreasing, but not in a straightforward manner.
- Let's check if there is a relationship between the numbers:
- `16 → 9`: Decrease by 7.
- `9 → 8`: Decrease by 1.
- The pattern alternates between subtracting 7 and 1.
- Continuing this pattern:
- `8 → (8 - 7) = 1`
- `1 → (1 - 1) = 0`
- The next two numbers are `1` and `0`.

3. Third row: `7, 9, 10, ?, ?`
- This row shows an increasing sequence.
- The differences between consecutive numbers are:
- `9 - 7 = 2`
- `10 - 9 = 1`
- The differences alternate between +2 and +1.
- Continuing this pattern:
- `10 + 2 = 12`
- `12 + 1 = 13`
- The next two numbers are `12` and `13`.

4. Fourth row: `20, 19, 18, ?, ?`
- This row shows a simple decreasing sequence by 1.
- Continuing this pattern:
- `18 - 1 = 17`
- `17 - 1 = 16`
- The next two numbers are `17` and `16`.

5. Fifth row: `22, 23, 24, ?, ?`
- This row shows a simple increasing sequence by 1.
- Continuing this pattern:
- `24 + 1 = 25`
- `25 + 1 = 26`
- The next two numbers are `25` and `26`.

##### Final Answer for Task 1
The completed grid is:
```
1 2 3 4 5
16 9 8 1 0
7 9 10 12 13
20 19 18 17 16
22 23 24 25 26
```

---

#### Task 2: Complete the pattern with table

The second task involves completing a table with a pattern. The table is as follows:

```
2 4 6 ... ...
3 6 9 ... ...
5 10 15 ... ...
7 14 21 ... ...
```

We need to identify the pattern in each row and complete the table.

##### Step 1: Analyze each row
1. First row: `2, 4, 6, ..., ...`
- This row shows a sequence where each number is a multiple of 2.
- The pattern is: `2 × 1, 2 × 2, 2 × 3, ...`
- Continuing this pattern:
- `2 × 4 = 8`
- `2 × 5 = 10`
- The next two numbers are `8` and `10`.

2. Second row: `3, 6, 9, ..., ...`
- This row shows a sequence where each number is a multiple of 3.
- The pattern is: `3 × 1, 3 × 2, 3 × 3, ...`
- Continuing this pattern:
- `3 × 4 = 12`
- `3 × 5 = 15`
- The next two numbers are `12` and `15`.

3. Third row: `5, 10, 15, ..., ...`
- This row shows a sequence where each number is a multiple of 5.
- The pattern is: `5 × 1, 5 × 2, 5 × 3, ...`
- Continuing this pattern:
- `5 × 4 = 20`
- `5 × 5 = 25`
- The next two numbers are `20` and `25`.

4. Fourth row: `7, 14, 21, ..., ...`
- This row shows a sequence where each number is a multiple of 7.
- The pattern is: `7 × 1, 7 × 2, 7 × 3, ...`
- Continuing this pattern:
- `7 × 4 = 28`
- `7 × 5 = 35`
- The next two numbers are `28` and `35`.

##### Final Answer for Task 2
The completed table is:
```
2 4 6 8 10
3 6 9 12 15
5 10 15 20 25
7 14 21 28 35
```

---

Final Answers

1. For Task 1: The next three numbers in each row are:
```
1 2 3 4 5
16 9 8 1 0
7 9 10 12 13
20 19 18 17 16
22 23 24 25 26
```

2. For Task 2: The completed table is:
```
2 4 6 8 10
3 6 9 12 15
5 10 15 20 25
7 14 21 28 35
```

Boxed Final Answers:
1. Task 1:
\[
\boxed{4, 5, 1, 0, 12, 13, 17, 16, 25, 26}
\]
2. Task 2:
\[
\boxed{8, 10, 12, 15, 20, 25, 28, 35}
\]