For each sentence, the correct form of the adjective should be used depending on whether the adjective is typically used in its regular form, its comparative form, or its superlative form. Also, whether it forms its superlative by adding -est or by preceding with "most" depends on the number of syllables and whether the adjective is regular or irregular. Let's review each sentence:
The quickest - The adjective "quick" typically uses "quicker" for its comparative form and "quickest" for its superlative form. It is a one-syllable adjective, so it follows the rule of adding -er for the comparative and -est for the superlative.
The most enjoyable - The adjective "enjoyable" consists of more than one syllable and does not end in -y, so it follows the rule of using "more" for the comparative and "most" for the superlative.
This hotel is the cheapest - The adjective "cheap" is a one-syllable adjective, so it uses -er for the comparative form ("cheaper") and -est for the superlative form ("cheapest").
The Rolex is the most expensive - The adjective "expensive" has three syllables, so it uses "more" for the comparative form and "most" for the superlative form.
My mum is the best - The adjective "good" is an irregular adjective. Its comparative form is "better" and its superlative form is "best".
The Ferrari is the fastest - The adjective "fast" is a one-syllable adjective, so it follows the rule of adding -er for the comparative and -est for the superlative.
Nigel was the worst - The adjective "bad" is an irregular adjective. Its comparative form is "worse" and its superlative form is "worst".
By using these rules, you can correctly choose the superlative forms of the adjectives in these sentences.