A. looked after B. take the subways to C. the whole D. is good at
【小题1】Judy does well in playing basketball.
【小题2】 I hope I can go to Huayang by subways.
【小题3】She babysat her sister last weekends because her mother was ill.
【小题4】I want to travel all over the country.
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解析：
【小题1】考查同义短语。do well in= be good at，“擅长......”。故选D。
【小题2】go to...by subways“乘地铁去......”；take也有“乘坐”的意思；相当于take... to+某地。故选B。
【小题3】babysit“担任临时保姆；照顾”；look after“照顾”。故选A。
【小题4】all over“遍及”。all over the world“全世界”，the whole world“全世界”。故选C。