English exam questions

Of course it is correct.

Ask the weather: What's the weather like today? (General present tense: yes ... I like it)

What was the weather like yesterday? (simple past tense: was .. like)

What will the weather be like tomorrow? (Simple future tense: it will be ... like)

The structure of the general future tense is: the auxiliary verb will plus the verb prototype, so will be, like and like are prepositions here.