How many perfect squares are there between 35 and 111?

To find the perfect squares between 35 and 111, we need to determine the perfect squares closest to these numbers. The closest perfect squares are 36 (6^2) and 100 (10^2). The perfect squares between 36 and 100 are 49 (7^2), 64 (8^2), and 81 (9^2). Therefore, there are 4 perfect squares between 35 and 111: 36, 49, 64, and 81.