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Critical Thinking Worksheets - 15 Worksheets Library - Free Printable

Critical Thinking Worksheets - 15 Worksheets Library

Educational worksheet: Critical Thinking Worksheets - 15 Worksheets Library. Download and print for classroom or home learning activities.

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This is a classic lateral thinking puzzle — often called the “Nine Dots Puzzle.”

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🎯 Goal:


Connect all 9 dots using only four straight lines, without lifting your pencil from the paper. You must pass through each dot exactly once per line (but a dot can be passed through by multiple lines — though typically, you just need to ensure every dot is touched at least once).

> ⚠️ Important: There’s no restriction on drawing beyond the boundaries of the box — this is the key insight!

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## Solution:

You must think outside the box — literally.

Here’s how to do it:

1. Start at the top-left dot.
2. Draw a long diagonal line going down and to the right, passing through the top-left, middle-center, and bottom-right dots.
- *But don’t stop there!* Extend the line well beyond the bottom-right dot.

3. From the end of that line, draw a second line upward and to the left, passing through the bottom-left dot, then continuing up to pass through the top-middle dot.
- Again, extend beyond the top-middle dot.

4. From there, draw a third line downward and to the right, passing through the top-right dot, then continuing down to pass through the bottom-middle dot.
- Extend beyond the bottom-middle dot.

5. Finally, draw a fourth line upward and to the left, passing through the middle-left dot, then continuing to pass through the middle-right dot.
- This completes the connection of all 9 dots.

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## 🖍️ Visual Description (Text-Based):

Imagine the dots are arranged like this:

```
A B C
D E F
G H I
```

- Line 1: Start at A → go through E → go through I → extend far beyond I.
- Line 2: From end of Line 1, swing up-left through G → continue to B → extend beyond B.
- Line 3: From end of Line 2, swing down-right through C → continue to H → extend beyond H.
- Line 4: From end of Line 3, swing up-left through D → continue to F → done.

All 9 dots are connected with 4 straight lines, no lifting the pencil.

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## 💡 Why It’s a Critical Thinking Exercise:

Most people instinctively try to keep their lines within the “box” formed by the dots. The trick is realizing that the boundaries are imaginary — the instructions say you can draw beyond them. This teaches:

- Breaking mental constraints
- Challenging assumptions
- Creative problem solving

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## 📌 Final Answer:

> Draw four straight lines extending beyond the boundaries of the dot grid to connect all nine dots without lifting your pencil. The key is to think “outside the box.”

Let me know if you’d like a diagram or step-by-step sketch!
Parent Tip: Review the logic above to help your child master the concept of thinking skills worksheet.
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