The phrase "a second set of questions" is correct and usable in written English.
You can use it when referring to an additional group of questions that follow an initial set.
Example: "After reviewing the first set of questions, I have prepared a second set of questions to further explore the topic."
Alternatives: "another group of questions" or "a follow-up set of questions".
A second set of questions dealt with the status of the greenway concept.
Then the researchers asked a second set of questions on unrelated topics.
This conclusion raises a second set of questions about responsibility namely, questions about the role responsibilities of federal district court judges.
A second set of questions revolves around the idea of characterizing an agent's implicit causal knowledge of the world by appeal to the explicit causal structure of a probabilistic algorithm.
A second set of questions revolves around the idea of characterizing an agents implicit causal knowledge of the world by appeal to the explicit causal structure of a probabilistic algorithm.
Mr. Cooley was challenged by Robert F. Horan Jr., the lead prosecutor, about whether his redirect examination of a witness -- that is, a second set of questions -- impermissibly went beyond the scope of his original questions.
A third set of questions concerns the war's aftermath.
A first set of questions related to the character of provisions imposing language requirements, and more particularly whether they constituted "technical regulations" within the meaning of the Directive.
A third set of questions asks how emerging economies, especially small open ones, should best distinguish between a permanent rise in capital inflows and a temporary surge and how they should deal with such a surge.Managing currency tensions will require greater harmony on all these fronts.
Finally, a third set of questions could be asking about the structural properties of genetic networks, and how these properties can reveal organizing principles of the underlying biomolecular systems, e.g., [8], [14].
A third set of questions concerns the bearing of the present study on the development of biological measures of political ideology.
