ichidan verb, transitive verb
cross over; pass through; go beyond
Used for physically crossing a boundary (mountain, river, border) or moving past a point in space or time. 越える is the typical kanji.
山を越えると、小さな村が見えた。
After crossing the mountain, we saw a small village.
Go straight along this road and cross the bridge.
ichidan verb, transitive verb
Used for exceeding a numerical value, limit, expectation, or standard. 超える is the typical kanji for this sense.
気温が30度を超えた。
The temperature exceeded 30 degrees.
彼の成績はクラスの平均を超えている。
His grades surpass the class average.