1 Answer. The subject of this sentence is "Achieving goals", and it is singular. The examples you mention do not make your subject plural. Therefore, it would be "requires".

How do you use requires in a sentence?

"My job requires a lot of time." "Raising kids requires energy." "The program requires students to have good grades." "This recipe requires three cups of milk."

Does require mean need?

to have need of; need: He requires medical care. to call on authoritatively; order or enjoin to do something: to require an agent to account for money spent. to ask for authoritatively or imperatively; demand.