to understand new concepts or ideas fast
新しい概念やアイデアをすばやく理解する (atarashii gainen ya aidea wo subayaku rikai suru)
"She catches on quickly when it comes to math problems."
"彼女は数学の問題に関してはすばやく理解します。" (kanojo wa suugaku no mondai ni kanshite wa **catch on quickly** desu)
to put effort and determination into reaching goals
to increase one’s effort or commitment to something
to take something from a lower place to a higher place
to reduce spending or expenses
to compare prices or products before buying
to increase the volume or rate of exports