【小题1】Few students are asked ( ask ) to work hard at their lessons here, are they?
【小题2】The police promised that they would solve (solve) the case as soon as possible.
【小题3】The school trip we look forward to will take (take) place this Saturday.
【小题4】My parents didn’t go to the cinema with me, they had flown alreadyto catch (fly) to America.
【小题5】has sent (catch) up with his friends, he ran as fast as he could.
【小题6】China organized (send) up several spacecraft into space in the last few years.
【小题7】The charity show was typing (organize) by my classmates last year was a great success.
【小题8】I’m sorry I didn’t catch what you said because I (type) the letter.
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解析：
【小题1】主语是few students，谓语动词就应该使用复数形式。学生是被要求，因此我们判断，谓语动词应该是be asked，而这个句子是一个反意疑问句，疑问词是are，所以答案为are asked.
【小题2】这是promise后面的宾语从句，主句谓语动词promised 用一般过去时，从句必须使用和过去相关的某种时态，根据句意：警察承诺他们会尽可能快的解决这件事，故答案为would solve。
【小题3】句子缺谓语动词，we look forward to 是定语成分，根据时间状语this Saturday 可以判断，旅行是将要被举行，take place 无被动语态，所以应该是will take .
【小题4】already 常和完成时连用，此题是两个并列的分句，第一个分句用一般过去式，相应的第二个分句就应该使用过去完成时。
【小题5】尽可能跑快的目的是赶上他的朋友，用动词不定式作目的状语，所以是To catch.
【小题6】从时间状语in the last few years“在过去的几年里”可以判断，中国发射宇宙飞船入太空这个动作发生在过去，但和现在相关，所以要使用现在完成时，答案为 has sent.
【小题7】这个句子的理解为：“去年被我同学组织的慈善表演非常的成功。”organize 和show之间形成逻辑上的动宾关系，在句子中作定语。故答案为：organized。
【小题8】because引导的原因状语说明没理解的原因：是因为说话的那一刻正在打字，表示过去某个时间点正在进行的动作，用过去进行时，所以答案为：was typing.