Square Numbers Worksheet for Home | Parent Support Resource - Free Printable

You’ve uploaded an image of a “Squire Square” worksheet designed to teach square numbers — that is, numbers you get when you multiply a number by itself (e.g., 3 × 3 = 9, so 9 is a square number).

The worksheet asks students to:

1. Complete a table with square numbers up to 10².
2. Use their knowledge of square numbers to solve simple equations.

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## ✔ Step-by-Step Solution

🔢 Part 1: Complete the Table of Square Numbers

We need to fill in the squares from 1² to 10².

Here’s the completed table:

| Square | Calculation | Result |
|--------|------------------|--------|
| 1² | 1 × 1 | 1 |
| 2² | 2 × 2 | 4 |
| 3² | 3 × 3 | 9 |
| 4² | 4 × 4 | 16 |
| 5² | 5 × 5 | 25 |
| 6² | 6 × 6 | 36 |
| 7² | 7 × 7 | 49 |
| 8² | 8 × 8 | 64 |
| 9² | 9 × 9 | 81 |
| 10² | 10 × 10 | 100|

> 💡 *Note: The worksheet already has some answers filled in (like 1, 4, 9, 16, 36, 49, 81, 100) — you just need to fill in the missing ones.*

✔ So the missing values are:
- 25 for 5²
- 64 for 8²

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🧮 Part 2: Solve the Equations Using Square Numbers

Now, use your knowledge of square numbers to complete these equations:

1. 7² + 4² = ___

→ 49 + 16 = 65

2. 9² – 5² = ___

→ 81 – 25 = 56

3. 6² + 3² = ___

→ 36 + 9 = 45

4. 8² – 2² = ___

→ 64 – 4 = 60

5. 10² – 7² = ___

→ 100 – 49 = 51

6. 5² + 4² = ___

→ 25 + 16 = 41

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## ✍️ Final Answers Summary

Completed Table:

| Square | Result |
|--------|--------|
| 1² | 1 |
| 2² | 4 |
| 3² | 9 |
| 4² | 16 |
| 5² | 25 |
| 6² | 36 |
| 7² | 49 |
| 8² | 64 |
| 9² | 81 |
| 10² | 100 |

Equation Solutions:

1. 7² + 4² = 65
2. 9² – 5² = 56
3. 6² + 3² = 45
4. 8² – 2² = 60
5. 10² – 7² = 51
6. 5² + 4² = 41

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## 🎓 Educational Explanation

- A square number is the result of multiplying a whole number by itself.
- We write it as `n²`, which means `n × n`.
- These numbers can be visualized as dots arranged in a perfect square grid (e.g., 4 dots in a 2×2 grid = 2²).
- Understanding square numbers helps in learning algebra, geometry (area of squares), and later, Pythagoras’ theorem.

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✔ You’ve now successfully solved the “Squire Square” challenge! Keep practicing — square numbers are foundational in math!

Let me know if you’d like a printable version or more practice problems!