Easy, no hints used
Got full points - 1000 - with the following answers:
1: 5 (Speaks for itself)
2: 17 (Low Number Sequence)
3: 3888 (Multiplying differences)
4: 89 (Fibonacci Sequence)
5: 31 (Sequence: -3, +3, -1, +1)
6: 1704 (Georgian Calender Leap Years)
7: 3 (Square Roots)
8: 1999 (Star Wars films)
9: 88 (Golden Ratio)
10: 111221 (Pea sequence)