To provide a ballpark figure, Rush has approximately 200 original songs across their entire discography. This includes the band's early progressive rock material from the 1970s, their transition to a more mainstream sound in the 1980s, and their later experimental and concept albums.
Here's a breakdown of the number of songs on each of Rush's studio albums:
1. Rush (1974): 8 songs
2. Fly by Night (1975): 8 songs
3. Caress of Steel (1975): 12 songs
4. 2112 (1976): 7 songs
5. A Farewell to Kings (1977): 9 songs
6. Hemispheres (1978): 8 songs
7. Permanent Waves (1980): 8 songs
8. Moving Pictures (1981): 8 songs
9. Signals (1982): 8 songs
10. Grace Under Pressure (1984): 10 songs
11. Power Windows (1985): 10 songs
12. Hold Your Fire (1987): 11 songs
13. Presto (1989): 11 songs
14. Roll the Bones (1991): 11 songs
15. Counterparts (1993): 11 songs
16. Test for Echo (1996): 11 songs
17. Vapor Trails (2002): 12 songs
18. Snakes & Arrows (2007): 13 songs
19. Clockwork Angels (2012): 12 songs
Please note that this information may have changed since my last update, as the band may have released new material or re-released some of their older albums with additional tracks. For the most up-to-date information on Rush's discography, I recommend checking official sources or reputable music databases.