Square numbers worksheet for counting and understanding multiplication patterns.

I'll solve this "Square numbers" worksheet step by step.

First, let me understand what the task is asking. The worksheet is about square numbers, which are numbers that can be represented as a square grid of dots (or objects). For example, 4 is a square number because you can arrange 4 dots in a 2x2 square.

The worksheet has several sections:
1. An example showing 3x3 = 9, with a 3x3 grid of dots
2. Several problems asking to draw patterns for different square numbers and calculate them

Let me work through each problem:

Problem 1: 3 x 3
- This is already shown in the example: 3 rows × 3 columns = 9 dots total
- Answer: 9

Problem 2: 5 x 5
- This would be 5 rows × 5 columns = 25 dots total
- Answer: 25

Problem 3: 6 x 6
- This would be 6 rows × 6 columns = 36 dots total
- Answer: 36

Problem 4: 8 x 8
- This would be 8 rows × 8 columns = 64 dots total
- Answer: 64

Problem 5: 9 x 9
- This would be 9 rows × 9 columns = 81 dots total
- Answer: 81

Problem 6: 10 x 10
- This would be 10 rows × 10 columns = 100 dots total
- Answer: 100

The pattern here is that for any number n, the square number is n² (n multiplied by itself).

So the completed answers would be:
- 3 x 3 = 9
- 5 x 5 = 25
- 6 x 6 = 36
- 8 x 8 = 64
- 9 x 9 = 81
- 10 x 10 = 100

This worksheet is teaching students about square numbers and how they relate to geometric squares (arranging objects in equal rows and columns).