Steve lives in _____ European country,and he teaches in _____ university there.
本题考查不定冠词的用法。European 前的不定冠词要用 a；university 前的的不定冠词要用 a。两者虽然以元音字母开头，但它们的读音都不是以元音音素开头的，故答案为选项C。
My grandmother is going to _____ a hobby like shopping on the Internet.
考查动词短语辨析。句意：我奶奶将要开始培养一种爱好，像网上购物。take up 从事、开始（学习或某种爱好）；look up 查阅、向上看；get up 起床。故选选项A。
Larry hopes _____ his English,so he keeps practicing it every day.
句意为：拉里希望提高他的英语，所以他每天坚持练习。根据 hope to do sth.（希望做某事）可排除选项B、选项D。solve意为 “解决”；improve 意为 “提高；改善”。根据 he keeps practicing it every day 可知应选选项C。
— Do you have any plans for tonight?
— Yes,I _____ at the new Italian restaurant in town.
考查动词时态。
考查动词时态。句意：—— 你今晚有什么计划吗？—— 有，我打算去镇上那家新开的意大利饭店吃饭。根据句意和关键词 plans for tonight 可知应该使用一般将来时，故选选项D。
Some children in the villages must look after _____ because their parents work in the cities.
考查代词辨析。句意：村里的一些孩子必须照顾自己，因为他们的父母都在城市里打工。故选D。
I can't tell you what she said. I've promised _____ it a secret.
句意：我不能告诉你她说的话。我已经承诺要保守这个秘密。考查非谓语动词。promise to do sth. 意为 “承诺做某事”。故选选项B。