Pakistan have only four days to square the two-match series after they lost the first Test, also in Rawalpindi, by 10 wickets.
Bangladesh, whose win was their first in 14 Tests against Pakistan, brought in fast bowler Taskin Ahmed for unfit Shoriful Islam.
Pakistan rested new-ball bowlers Shaheen Shah Afridi and Naseem Shah, bringing in fast bowler Mir Hamza and spinner Abrar Ahmed.
The two-match series is part of World Test Championship’s third cycle.
Teams:
Pakistan: Shan Masood (captain), Saud Shakeel, Abdullah Shafique, Babar Azam, Khurram Shahzad, Mir Hamza, Mohammad Ali, Mohammad Rizwan, Saim Ayub, Agha Salman, Abrar Ahmed
Bangladesh: Najmul Hossain Shanto (captain), Zakir Hasan, Shadman Islam, Mominul Haque, Mushfiqur Rahim, Shakib Al Hasan, Litton Das, Mehidy Hasan Miraz, Nahid Rana, Hasan Mahmud, Taskin Ahmed
Umpires: Michael Gough (ENG) and Adrian Holdstock (RSA)
Third umpire: Richard Kettleborough (ENG)
Match referee: Ranjan Madugalle (SRI)
