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This work concerns the study of the properties of convective cores inmain-sequence models of solar-like pulsators and what information they may holdabout stellar ages. We verified that the maximum absolute frequency derivativeof particular combinations of frequencies, which we name "the slopes", providesinformation on the relative size of the discontinuity in the sound-speedprofile at the border of the convectively mixed region. Since the latter isrelated to the evolutionary state of stars, we show that for models with massesabove $1.3\,\rm M_\odot$, it may be possible to estimate the fraction ofstellar main-sequence evolution from the slopes. Moreover, for models withmasses below $1.2\,\rm M_\odot$ we verified that it may be possible to use theslopes to discriminate against models with small amounts of core overshoot.

Inferring properties of small convective cores in main-sequence solar-like pulsators