Auditory perceptual tasks mature at different rates, with temporal tasks having longer developmental courses. We tested 10- to 23-year-olds on frequency discrimination, temporal-interval discrimination, and gap detection using the method of constant stimuli. During task performance, listening effort data were collected via eye-tracker. A cognitive battery was also administered. Thresholds correlated between the frequency and temporal-interval discrimination conditions, which shared the same standard stimulus, but not between other conditions. The slopes of the psychometric functions did not correlate between conditions, suggesting that different or time-varying factors might contribute to slopes on these conditions. Shallower psychometric functions corresponded to poorer thresholds on only the temporal-interval and gap conditions, implying a potential role for attention, engagement, fatigue, or the stability of the stimulus representations on those conditions. Regression modeling indicated a limited role of age: Age predicted thresholds on the temporal-interval discrimination condition and slopes on both the frequency and temporal-interval discrimination conditions. Testing order affected performance on frequency discrimination (threshold) and temporal-interval discrimination (threshold and slope). The measures of listening effort and cognition that predicted thresholds and slopes also differed between those two conditions. On gap detection, neither threshold nor slope was predicted by any variable. [Work funded by NIDCD.]