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1) I (could, can) help you with your homework now.
2) Five years ago, I (cannot, couldn’t) play the piano.
3) I (can, could) get an A on the test.
4) I (can, could) run ten miles if I train hard enough.
5) We (can, could) speak English well.
6) Matt (could, can) be sick today.
7) The volleyball team (can, could) go to the Olympics this year if they are lucky. 8) I think I (can, could) help you learn math if you promise to study hard.
9) (Can, Could) we go to the zoo tomorrow?
10) I (cannot, couldn’t) run that fast when I was six years old.
11) He (can, could) speak French when he was 5 years old.

1) I could help you with your homework now.
Explanation: "Could" is used to express a possibility or ability in the past or present. In this case, the speaker is offering their help, indicating that they have the ability to help with the homework.

2) Five years ago, I couldn't play the piano.
Explanation: "Couldn't" is the past tense of "cannot" and is used to express inability or lack of ability in the past. In this sentence, the speaker is stating that they were unable to play the piano five years ago.

3) I can get an A on the test.
Explanation: "Can" is used to express ability or possibility in the present or future. In this sentence, the speaker is confident in their ability to get an A on the test.

4) I can run ten miles if I train hard enough.
Explanation: Similar to the previous sentence, "can" is used to express ability or possibility. The speaker believes that they can run ten miles if they train hard enough.

5) We can speak English well.
Explanation: "Can" is used to express ability, and the speaker is stating that they have the ability to speak English well.

6) Matt could be sick today.
Explanation: "Could" is used to express possibility or uncertainty in the present. In this sentence, the speaker is suggesting that it is possible for Matt to be sick today.

7) The volleyball team could go to the Olympics this year if they are lucky.
Explanation: "Could" is again used to express possibility or uncertainty. The speaker is stating that it is possible for the volleyball team to go to the Olympics this year, but it depends on luck.

8) I think I could help you learn math if you promise to study hard.
Explanation: "Could" is used to express possibility or ability. The speaker believes that they have the ability to help the person learn math, but it is dependent on the person's promise to study hard.

9) Could we go to the zoo tomorrow?
Explanation: "Could" is used to make a polite request or ask for permission. In this sentence, the speaker is asking if it is possible to go to the zoo tomorrow.

10) I couldn't run that fast when I was six years old.
Explanation: "Couldn't" is the past tense of "cannot" and is used to express inability or lack of ability in the past. In this sentence, the speaker is stating that they were unable to run that fast when they were six years old.

11) He could speak French when he was 5 years old.
Explanation: "Could" is used to express ability or possibility. In this sentence, the speaker is stating that at the age of five, he had the ability to speak French.