**Rule:** The Future Continuous Tense (will be + verb-ing) is used to describe an action that will be in progress at a specific time in the future. The phrase 'This time next week' specifies an exact future moment. The action of relaxing will be ongoing at that point. Option (a) 'will relax' (Simple Future) states a future action but not its continuous nature at a specific time. Option (b) 'am relaxing' is Present Continuous and incorrect here. Option (c) 'will have relaxed' (Future Perfect) implies the action of relaxing will be completed by that time, which is not the intended meaning.

**Rule:** The 'be going to' future is used for predictions based on clear present evidence. The 'strange noise' is the auditory evidence that leads to the logical prediction that the car will break down. Option (a) is a more general prediction, not as strongly linked to the current evidence.

**Rule:** The Future Perfect Tense (will have + past participle) is used to express that a future event will be completed before another future event. The speaker is concerned that the action of the film starting will be finished before they get there. This conveys the urgency. Option (b) is a simple prediction, not focused on the completion.

**Rule:** The Simple Future with 'will' is used to express a prediction based on belief or certainty, especially after phrases like 'I'm sure'. It reflects the speaker's confidence in the future outcome. Option (c) is also possible but 'will' is the classic choice to convey personal certainty.

**Rule:** The Future Perfect Continuous Tense (will have been + verb-ing) is used to emphasize the duration of an action up to a specific point in the future. The phrase 'for ten consecutive years' specifies the duration, and 'Next month' is the future point in time. Option (a) 'will be working' (Future Continuous) indicates an action in progress but doesn't emphasize the duration. Option (c) 'am working' is Present Continuous. Option (d) 'will work' (Simple Future) is a general statement about the future.

**Rule:** The Future Perfect Tense (will have + past participle) is used for an action that will be completed before another moment in the future. 'By the end of their tour' is the future point by which the action of performing in 50 cities will be finished. Option (a) 'will be performing' suggests they will be in the middle of a performance at that time. Options (c) and (d) are present tenses and are incorrect.

**Rule:** Both the Present Continuous ('is departing') and the Simple Present ('departs') can be used for scheduled future events. Present continuous is very common for personal travel plans and arrangements. Option (a) is also correct but (b) is equally, if not more, common in spoken English for this context.

**Rule:** The Future Simple Passive ('will be' + past participle) is the standard way to talk about a formal, planned future event where the subject is the receiver of the action. The report cannot publish itself. Option (a) is active. Option (d) is also active. Option (c) is for regular schedules, but this is a one-time future event.

**Rule:** The Future Perfect Tense (will have + past participle) is used to express the completion of an action (or a number of actions) by a specific point in the future. 'By the time she is forty' is the future deadline by which she will have completed visiting many countries. Option (b) describes an ongoing action.

**Rule:** The Simple Future with 'will' is used to make general predictions about the distant future. This is a prediction about a long-term technological shift. Option (d) is also possible, but 'will' is very common for these kinds of general, long-range forecasts. Options (a) and (b) are incorrect.