Eddie has a study block that lasts $1$ hour. It takes Eddie $25$ minutes to do his homework and $5$ minutes to play a game of Clash Royale. He can’t do both at the same time. How many games can he play in this study block while still completing his homework?

[i]Proposed by Edwin Zhao[/i]

[hide=Solution]
[i]Solution.[/i] $\boxed{7}$
Study block lasts 60 minutes, thus he has 35 minutes to play Clash Royale, during which he can play $\frac{35}{5}=\boxed{7}$ games.
[/hide]
1. Convert the study block duration from hours to minutes:
   \[
   1 \text{ hour} = 60 \text{ minutes}
   \]

2. Subtract the time taken to do homework from the total study block time:
   \[
   60 \text{ minutes} - 25 \text{ minutes} = 35 \text{ minutes}
   \]

3. Determine the number of games Eddie can play in the remaining time. Each game takes 5 minutes:
   \[
   \frac{35 \text{ minutes}}{5 \text{ minutes/game}} = 7 \text{ games}
   \]

Conclusion:
Eddie can play 7 games of Clash Royale while still completing his homework within the 1-hour study block.

The final answer is \(\boxed{7}\).