Anda is a teacher in Zambia - NSC Mathematical Literacy - Question 4 - 2024 - Paper 2

The rooms that have two double doors include the 'Laboratory' and the 'Computer Lab'. The room with one single door is the 'Reading Room'.

One feature indicating the school has more than one level is the presence of stairs on the layout plan, allowing access between different floors.

Following the described route, Anda exited from the 'Laboratory'. He turned left, passed three single doors, and then turned right at the hallway's end before reaching the exit.

To verify if there are enough tiles:

1. Calculate the area of the laboratory floor:

   • Length = 11 m, Width = 7 m
   • Area = Length x Width = $11 \text{ m} \times 7 \text{ m} = 77 \text{ m}^2$

2. Convert area into square millimeters:

   • $1 \text{ m}^2 = 1,000,000 \text{ mm}^2$
   • Area in mm² = $77 \text{ m}^2 \times 1,000,000 \text{ mm}^2 = 77,000,000 \text{ mm}^2$

3. Each tile has an area of:

   • $600 \text{ mm} \times 600 \text{ mm} = 360,000 \text{ mm}^2$
   • Number of tiles needed = Area of Laboratory / Area of a tile = $\frac{77,000,000 \text{ mm}^2}{360,000 \text{ mm}^2} \approx 213.89$

4. Boxes of tiles:

   • Number of boxes = $\frac{213.89}{5} \approx 42.78$, so at least 43 boxes are needed, which confirms the claim is VALID.