The page is 300mm, squares are 30mm wide and they are stuck together and centered. We need to calculate the position of left squares left corner.

To calculate the position of the left corner of the leftmost square, follow these steps:

1. **Determine the total width occupied by the squares:**
   Given that each square is 30mm wide and they are stuck together, the total width occupied by all squares can be calculated as:
   \[
   \text{Total width} = \text{Number of squares} \times \text{Width of each square}
   \]
   Let's denote the number of squares as \( n \).

2. **Calculate the remaining space on the page:**
   The remaining space on the page, which is not occupied by the squares, can be found by subtracting the total width of the squares from the width of the page:
   \[
   \text{Remaining space} = \text{Width of the page} - \text{Total width}
   \]

3. **Determine the position of the left corner of the leftmost square:**
   Since the squares are centered, the remaining space is equally divided on both sides of the squares. Therefore, the position of the left corner of the leftmost square from the left edge of the page is:
   \[
   \text{Position of the left corner} = \frac{\text{Remaining space}}{2}
   \]

Let's put these steps into formulas and calculations. First, let's denote the width of the page as \( W = 300 \)mm and the width of each square as \( w = 30 \)mm.

The number of squares, \( n \), should be such that they fit within the width of the page when stuck together. Assuming \( n \) squares are fitted:

\[
n = \left\lfloor \frac{W}{w} \right\rfloor = \left\lfloor \frac{300}{30} \right\rfloor = 10
\]

The total width occupied by the squares:

\[
\text{Total width} = n \times w = 10 \times 30 = 300 \text{ mm}
\]

Since the total width of the squares matches the width of the page, there is no remaining space:

\[
\text{Remaining space} = W - \text{Total width} = 300 - 300 = 0 \text{ mm}
\]

Thus, if 10 squares are perfectly fitted without any remaining space, the left corner of the leftmost square is at:

\[
\text{Position of the left corner} = \frac{\text{Remaining space}}{2} = \frac{0}{2} = 0 \text{ mm}
\]

Therefore, the left corner of the leftmost square is positioned at 0 mm from the left edge of the page.

If you have any more details or other questions, please let me know. Here are some more questions you might want to consider:

1. How would the position change if the squares were not perfectly fitting the page?
2. What if there is a different number of squares or different page size?
3. How to calculate the position if the squares are not centered but aligned to one side?
4. What if the width of the page changes but the squares remain the same?
5. How to calculate the positions if the squares have gaps between them?

**Tip:** Always recheck your constraints and assumptions to ensure your calculations fit the given problem context.

Learn how to calculate the position of the left corner of the leftmost square on a 300mm page where squares of 30mm width are centered and stuck together. This problem involves geometric concepts and simple arithmetic calculations. Suitable for Grades 7-9 students.

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