Here are the corrections for the sentences in the provided image:

1. Correction: Change "An European" to "A European" because "European" starts with a consonant sound.

Corrected Sentence: A European gentleman is waiting for my boss in the hall.



2. Correction: Change "both in drama with in comedies" to "both in drama and in comedies".

Corrected Sentence: Emma Thompson is a talented actress both in drama and in comedies.



3. Correction: Change "among the lamp and the bed" to "between the lamp and the bed".

Corrected Sentence: The cat is between the lamp and the bed.



4. Correction: Change "farther" to "further" for proper use in context.

Corrected Sentence: My aunt lives two miles further from here.



5. Correction: Change "different than" to "different from".

Corrected Sentence: The food in China is very different from that in England.



6. Correction: Change "every day by bicycle" to "by bicycle every day" for better word order.

Corrected Sentence: It took him only thirty minutes to go to school by bicycle every day.



7. Correction: Change "They no wear uniform at their school" to "They do not wear uniforms at their school".

Corrected Sentence: They do not wear uniforms at their school.



8. Correction: Change "a lot of homeworks" to "a lot of homework" because "homework" is uncountable.

Corrected Sentence: My brother has a lot of homework to do this evening.



9. Correction: Change "a bar of tea" to "a packet of tea" for correctness.

Corrected Sentence: I would like to buy a packet of tea and a tube of toothpaste.



10. Correction: Change "aren’t some Chinese pupils" to "aren’t any Chinese pupils" for proper negation.

Corrected Sentence: There aren’t any Chinese pupils in the English school.