This can be watched on Viki as a 10 episode miniseries, or a shorter version as a movie. This review is for the second option.
What happens when a slightly spoiled girl who does not excel at math (and does not want to put out too much effort), is faced with a CSAT test that will determine the rest of her life? She avoids the test of course. By standing in the rain and getting wetter and wetter, wishing to disappear, then jumping into a big puddle of water, and poof, she's gone. Except that she emerges again, this time in fifteenth century Joseon, at the court of the young King Sejong the Great. Mistaken for an erudite boy due to her clothing, she is brought to the attention of the king, who is trying to solve several problems, such as the Pythagorean theorem and a three-year drought, in that order. The young scholar now has to do a whole lot of math, much of it at the tip of a sword, before the young king figures out her gender and... Well, you get the gist. It's a beautifully filmed movie, with lots of wit and sparkle between the protagonists, and never a dull moment, at least in the short version. Highly recommended.