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Hello!
My mother is studying in University. She was given this testing. I've solved this English testing for her but I'm not sure if it is alright. Could you check it? Sorry, it's quite long.

I. Grammar Exercises
1 Articles
1. The equipment of Blake & Co is very good. They sell it to ** different companies
2. Where are the* newspapers? They are on *the desk.
3. There ** much built in furniture in our kitchen. The* furniture makes *the kitchen comfortable.
4. We are interested in buying ** machines from British companies.
5. The tools of Blake & Co are of ** high quality.
6. We’ve received the enquiry for ** three machines lately.
7. ** Last month our manager went to St. Petersburg by train He went there by an * express train. *The train had no stops.
8. If you want to get a room at a *hotel in Nice in summer time you must reserve *the accommodation in advance. ** Nice hotels are full during summer time.
9. The Seller didn’t agree to give us the* discount as their goods were in *a great demand at that price.
10. We are interested in buying ** compressors for a* new shop of *the* large plant in Siberia. *The shop is already under construction and customers require goods urgently, as they must complete the construction of the shop by the end of the year.

2 Prepositions
1. She is sitting *on* the table and speaking ** the phone. She is making an appointment on Friday.
2. They met Mr. Black *in* his office. The meeting began at 10 o’clock and lasted ** (for?) two hours.
3. The other day Rossexport received an enquiry for the motors of Johanson & Sons.
4. The train will arrive with a delay for 40 minutes. Will you go to the departure lounge and wait for the announcement?
5. -Can you give us a discount for a large order?
- As we have done a lot of business with you we can give you a small discount. In case we’d like to have a discount of 7%.
6. The charge for a room in this hotel is not very high.
7. They offered to deliver the pumps *in* (of?) four lots 12 pumps each in regular intervals of 5 months.
8. You’ve reserved a single and a double room for you for two nights on the fourth floor. These are modern rooms with private baths. They don’t face the street.
9. -I’d like a suit for office wear.
-Try *on* this one in size.
10. The Seller offered the goods *at* CIF terms and payment collection.

3 Degrees of comparison
1. The “Sony” TV-set is more expensive than the “Akai” TV-set. It’s one of the most expensive TV-sets.
2. Are our cars as convenient as German cars?
3. This is the busiest airport I’ve ever seen.
4. I come on Monday later than on other days.
5. More often we give discount to the Buyers if we have known them for a long time.

4Verb times
1. Now you see* Mr. Black in his office. During the day he *looks* through English newspapers, *discusses* business matters. Now he is reading a letter. He *is going to phone the manager of the company.
2. -What model are you interested in?
-Model BC5 meets our requirement.
3. The fact *is* I sent you our offer last week. In my letter I asked you to study it and give us your answer but we haven’t received it yet.
4. -Does the plane o Moscow leaves on time?
-There is a delay but it probably won’t be over 30 minutes
5. Good morning, Mr. Black. I’m glad to see you. I haven’t seen you since we met in London
6. How long it takes (Will it take?) me to get there?
-It’ll take you about half an hour to get there at this time of the day. There is a lot of traffic now. Look, bus 79A *is coming.*
7. Have you discussed the terms of delivery yet?
8. Jack arrived at the theatre about 7 o’clock. Ten minutes later he was sitting in the stalls and watching the performance.
9. Rossexport started shipping the goods nine months after we had signed the contract.
10. I don’t know when our accountant comes back

5Reported speech
1. Mr. Black said it hadn’t taken us long to discuss the price.
2. The office manager said you would go on business to London soon.
3. Mr. Black asked if Mr. Taylor was staying with us.
4. Mr. Black wants to know what discount Mr. Smith can give us.
5. Mr. Black said your prices were very high and they couldn’t accept them.
6. Mr. Black asked who Mr. Brown was waiting for.
7. Mr. Black wanted to know if Nancy had translated the letter.
8. Mr. Black says to look through the quotation from Dunn & Co.
9. Mr. Black said not to send the fax to Smith & Co.
10. Mr. Black asked if their goods met Mr. Smith’s requirements.

6Modal verbs
1. Can I offer you a cup of tea?
2. -Must I go to the office every day?
-No. You mustn’t.
3. -May I invite businessmen to the conference room?
-No, you mustn’t (or mightn’t?). It must be cleaned.
4. When can you look through it?
5. -Why are you so late?
-Because I had to phone the British company.
6. -Why did Mr. Smith go to London last month?
-He was to sign a contract there.
7. If the manager doesn’t have to stay late at the head office today he will be able to meet Mr. Smith
8. We received your offer 5 days ago wand we couldn’t study it.
9. Who can make good coffee?
10. You are to contact Black & Co next Monday.
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Hi Pres1dent

You should break up long posts such as this one into several short posts. That way it's much easier for other people to comment.

I've made suggestions. Some of the sentences in these exercises don't sound terribly natural, so there are also suggestions in places where there were no asterisks (**).

I. Grammar Exercises
1 Articles
1. *(The)* equipment of from Blake & Co is very good. They sell it to ** various different companies
2. Where are the* newspapers? They are on *the desk.
3. There is ** much a lot of built-in furniture in our kitchen. The* furniture makes *the kitchen comfortable.
4. We are interested in buying ** the/ - machines from British companies.
5. The tools of Blake & Co tools are of ** high quality.
6. We’ve received *the an* enquiry for ** three machines lately recently.
7. ** Last month our manager went to St. Petersburg by train. He went there by took an * express train. *The train had no stops.
8. If you want to get accommodation(s) at *a *hotel in Nice in the summertime you must reserve the room in advance. ** Nice hotels are full during the summer time.
9. The seller didn’t agree to give us *a* discount as their goods were in *a* great demand at that price.
10. We are interested in buying ** compressors for *a* new shop in *the* a large plant in Siberia. The shop is already under construction and the customers requires the goods urgently, as they must complete the construction of the shop by the end of the year.

2 Prepositions
1. She is sitting *on at* the table and speaking talking *on* the phone. She is making an appointment on for Friday.
2. They met Mr. Black *in* his office. The meeting began at 10 o’clock and lasted ** (for?) two hours.
3. The other day Rossexport received an enquiry for the motors of Johanson & Sons.
4. The train will arrive with a delay for of 40 minutes. Will you go to the departure lounge and wait for the announcement?
5. -Can you give us a discount *for/on* a large order?
- As we have done a lot of business with you, we can give you a small discount.
- In that case, we’d like to have a discount of 7%.
6. The charge for a room in this hotel is not very high.
7. They offered to deliver the pumps *in* (of?) four lots of 12 pumps each in at regular intervals of 5 months. (at regular 5-month intervals)
8. You’ve reserved a single and a double room for you for two nights on the fourth floor. These are modern rooms with private baths. They don’t face the street.
9. -I’d like a suit for office wear.
-Try *on/-* this one in for size. (OR: Try this one on for size.)
10. The seller offered the goods *at* CIF terms and payment collection. (This sounds clunky. I'd just say this: The seller offered the goods CIF.)

3 Degrees of comparison
1. The Sony TV set is more expensive than the Akai TV set. It’s one of the most expensive TV sets.
2. Are our cars as convenient as German cars? (In my opinion, reliable would be a more logical choice of words.)
3. This is the busiest airport I’ve ever seen.
4. I come later on Mondays later than on other days.
5. More often we give a discount to buyers most often if we have known them for a long time.

4Verb times
1. Now you see* Mr. Black in his office. During the day he *looks through English newspapers and discusses business matters. Now he is reading a letter. Later, he is going to phone the manager of the company.
2. -What model are you interested in?
-Model BC5 meets our requirement.
3. The fact *is* I sent you our offer last week. In my letter I asked you to study it and give us your answer but we haven’t received it yet.
4. -*Will* the plane to Moscow leaves on time? /Will the plane to Moscow be leaving on time?
-There is a delay but it probably won’t be over 30 minutes
5. Good morning, Mr. Black. I’m glad to see you. I haven’t seen you since we met in London
6. How long *it takes* (will it take?) me to get there?
-It’ll take you about half an hour to get there at this time of the day. There is a lot of traffic now. Look, bus 79A *is coming.*
7. Have you discussed the terms of delivery yet?
8. Jack arrived at the theatre about 7 o’clock. Ten minutes later he was sitting in the stalls and watching the performance.
9. Rossexport started shipping the goods nine months after we *(had) signed* the contract. (Past perfect is OK, but not necessary.)
10. I don’t know when our accountant comes will be back

5Reported speech It's often difficult to judge reported speech without also knowing what the direct speech was.

1. Mr. Black said it hadn’t taken us? long to discuss the price. (It sounds as though the sentence need 'them' rather than 'us'.)
2. The office manager said you would go on business to London on business soon.
3. Mr. Black asked if Mr. Taylor was staying with us.
4. Mr. Black wants to know what discount Mr. Smith can give us(?).
5. Mr. Black said your prices were very high and they couldn’t accept them.
6. Mr. Black asked who Mr. Brown was waiting for.
7. Mr. Black wanted to know if Nancy had translated the letter.
8. Mr. Black says to look through the quotation from Dunn & Co.
9. Mr. Black said not to send the fax to Smith & Co.
10. Mr. Black asked if their goods met Mr. Smith’s requirements.

6Modal verbs
1. Can I offer you a cup of tea?
2. -Must Do I have to go to the office every day?
-No, you mustn’t don't.
3. -May Can I invite businessmen to the conference room?
-No, you mustn’t (or mightn’t?) can't. It must has to be cleaned.
4. When can you look through it?
5. -Why are you so late?
-Because I had to phone the British company.
6. -Why did Mr. Smith go to London last month?
-He was/had to sign a contract there.
7. If the manager doesn’t have to stay late at the head office today, he will be able to meet Mr. Smith
8. We received your offer 5 days ago wand but we couldn’t haven't been able to study it (yet).
9. Who can make good coffee?
10. You are to contact Black & Co next Monday.
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What would I do if this forum didn't exist!
I guess you would have to do your mother's homework all by yourself!
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Comments  
Thanks! Oh sorry there was the biggest mistake: I forgot to say not to change the words and their order because they are given in the testing as I posted here and I just filled in gaps with words given in the brackets. Can you just check the words' forms? In every part check words which are connected with the title, only articles in the 1st , only prepositions in the 2nd, etc.
Thank you again. What would I do if this forum didn't exist!
Then just ignore the other suggestions I made, Pres1dent. If you still have questions about a few of the individual sentences, please ask about them specifically.
Teachers: We supply a list of EFL job vacancies
 khoff's reply was promoted to an answer.
Aha, making a lot of mistakes... LOL! Thanks again!