Question

Our teacher suggests ... a test next week 1) being written 2)having been written 3) writing

Answer 1

Our teacher suggests writing a test next week.

Answer 2

The correct option would be:

3. writing

The sentence "Our teacher suggests writing a test next week" is in the present tense and suggests the action of writing the test in the future. The gerund form "writing" is used to indicate the action of writing as a noun, which fits in the sentence structure and conveys the intended meaning.