To complete this exercise, you need to determine whether to use the infinitive or -ing form of the verbs in brackets, based on the context provided by the sentences. Here is a detailed explanation and the correct forms:
1) going out - Already filled in correctly. "Enjoy" is followed by the -ing form.
2) doing - "Doesn't mind" is followed by the -ing form. It indicates that she doesn't have an objection to doing something.
3) to help - "Glad" is usually followed by the infinitive with "to" when expressing happiness or willingness to do something.
4) go - "Can't" is followed by the base form of the verb without "to."
5) to dig - The phrase "too old to" is followed by the infinitive. It indicates that she is too old to perform the action.
6) doing - "Stopped" can be tricky because it can be followed by either the -ing form or the infinitive, depending on the meaning. "Stopped doing" means she no longer performs the action.
7) to mow - "Healthy enough to" is followed by the infinitive with "to." It indicates she is sufficiently healthy to perform the action.
8) swimming - "Goes" is typically followed by the -ing form when referring to activities or hobbies.
9) bury - "Lets" is followed by the base form of the verb without "to," as it is a causative verb.
10) being - "It's no good" is an expression followed by the -ing form. It means there is no benefit in doing something.
11) to be - "Would love" is followed by the infinitive with "to," indicating a strong desire.
Putting it all together, the completed passage reads:
My mother is an amazing woman. She is 87 years old and she still enjoys 1) going out for a walk every day. She doesn't mind 2) doing all her housework and she's glad 3) to help her elderly neighbours when they can't 4) go to the shops. She's too old 5) to dig the garden any more - she stopped 6) doing that last year - but she's still healthy enough 7) to mow the grass! In the summer she still goes 8) swimming when it's warm and she lets her grandchildren 9) bury her in the sand. She often says, "It's no good 10) being alive if you don't enjoy yourself." I'd love 11) to be like my mother when I'm her age.