Critical Thinking Worksheets - 15 Worksheets Library - Free Printable

Looking at Puzzle 4, I see a 3x2 grid of squares, similar to Puzzle 3. The goal is to remove 11 bars to make 4 squares.

In a 3x2 grid, there are 6 small 1x1 squares. To end up with 4 squares after removing 11 bars, I need to remove bars in such a way that I eliminate 2 of the small squares and create a configuration with 4 squares.

One possible solution is to remove the 11 bars that are the internal bars of the 3x2 grid. Specifically, remove the 4 internal horizontal bars and the 7 internal vertical bars. But that's too many bars.

Another idea: if I remove the 11 bars that are the outer edges of the 3x2 grid, I would have fewer squares. That doesn't work.

Perhaps the solution is to remove the 11 bars that are the internal bars of the 3x2 grid, leaving only the outer frame and the corners. But that would leave me with 4 squares, which is what we want.

Wait, let's count the bars in a 3x2 grid. There are 4 horizontal lines (each with 3 segments) and 3 vertical lines (each with 2 segments). That's a total of 4*3 + 3*2 = 12 + 6 = 18 bars.

If I remove 11 bars, I will have 7 bars left. With 7 bars, I can form 4 squares if I arrange them in a specific way.

One possible solution is to remove the 11 bars that are not part of the 4 corner squares. Specifically, remove the 11 bars that are the internal bars and the outer edges of the middle squares. This would leave me with the 4 corner squares.

Let me try to visualize this. If I remove the 11 bars that are the internal bars of the 3x2 grid and the outer edges of the middle squares, I would have the 4 corner squares left. That seems plausible.

After careful consideration, I believe the solution for Puzzle 4 is to remove the 11 bars that are the internal bars and the outer edges of the middle squares, leaving only the 4 corner squares.

Now, let me go back to Puzzle 1 and try to solve it again.

For Puzzle 1, I think the solution is to remove the 4 bars that form the "T" junction in the center. Specifically, remove the horizontal bar in the middle row that connects the center to the right, and the vertical bar in the middle column that connects the center to the bottom, and then two more bars to balance it out. But this is still not clear.

Perhaps the two equal shapes are two L-shapes. If I remove the 4 bars that are the internal bars of the 3x3 grid, I can create two L-shapes. Let me try that.

If I remove the 4 internal bars (2 horizontal and 2 vertical) of the 3x3 grid, I would have 4 separate 1x1 squares, not two L-shapes.

I think I need to look for a different approach. Maybe the two equal shapes are two 2x2 grids. To do that, I would need to remove the bars that connect the 2x2 grids.

After careful consideration, I believe the solution for Puzzle 1 is to remove the 4 bars that are the internal bars of the 3x3 grid, leaving only the outer frame and the corners. This would create two equal L-shapes.

For Puzzle 2, I think the solution is to remove the 5 bars that are the internal bars of the 3x3 grid, leaving only the outer frame and the corners. This would create 6 squares: 4 small 1x1 squares and 2 large 2x2 squares.

For Puzzle 3, I think the solution is to remove the 6 bars that are the internal bars of the 3x2 grid, leaving only the outer frame and the corners. This would create 2 rectangles and 2 squares.

For Puzzle 4, I think the solution is to remove the 11 bars that are the internal bars and the outer edges of the middle squares, leaving only the 4 corner squares.

In summary, the solutions are:

1. Remove the 4 internal bars of the 3x3 grid to create two equal L-shapes.
2. Remove the 5 internal bars of the 3x3 grid to create 6 squares.
3. Remove the 6 internal bars of the 3x2 grid to create 2 rectangles and 2 squares.
4. Remove the 11 bars that are the internal bars and the outer edges of the middle squares to create 4 squares.

However, I am not entirely confident in these solutions. I would need to verify them by drawing the grids and removing the bars to see if they work.