Great you've posted a NZ quiz! I'd say a few things though, for example New Zealand was named after Zeeland in teh Netherlands, not the Danish island. Also longest river = LAKE Waikato? Another far north tourist destination is Cape Reinga? Finally, "What does the above mean in English" question should be underneath the first question.
Kupe (10th century) discovered it waaay earlier than James Cook. Maybe specify the clue to 'European person' for Cook? (Which by the way isn‘t correct either — it was Abel Tasman on December 13, 1642. James Cook wasn‘t even born yet!)