Absolutely! There is a lot of evidence that sleeping good before a test can improve test performance compared to a night of sleep deprivation. Research findings show that sleep is important to a greater extent than what is generally believed.
Sleep participates in the consolidation of fresh memory, as research has demonstrated. Brain activities that are dependent on a previous awake period are processes that reflect the restoration of an optimal neuronal function after the ongoing neuronal activity, in other words, learning depends on the information and experiences we take in when awake, and the post-training sleep.
Even a nap in the middle of the day may benefit some learning. It was found that studying more than what we can absorb in one study-session is worthless, since our brain gets a kind of “burnout” at some point. This “burnout” is likely to occur because the brain can only take in so much information before it has a chance to secure the memory of it through sleep. And taking a nap can actually get the brain to absorb what was just studied, and get refreshed to be able to absorb more academic information.
Sleep is thought to allow the brain to reprocess newly learned information so that memories of it stick. Using technology to look inside the brain has suggested this idea is accurate. However, some information or difficult experiences might take more sleep sessions to get processed.