Gryffindor finished the 1991-1992 school year in first place with 482 points - by Slytherin by just 10 points.
Initially, they were in last place (largely because Harry, Hermione and Neville lost them 150 points in one night) but Dumbledore gave out extra points to Harry, Ron, Hermione and Neville for recent events.
He gives 60 points to Harry Potter for being so brave. 50 points to Ron Weasley for the best wizard chess ever in Hogwarts. I don't remember why Hermione Granger got 50 points. And Dumbledore gave 10 points to Neville Longbottom for standing against his friends breaking school rules.
If you mean the invisibility cloak then Harry Potter, Ron Weasey and Hermione Granger use it at various points.
Professor Snape took five points from Gryffindor house because he claimed that library books were not to be taken outside the school after he found Harry reading Quidditch Through the Ages in the grounds. Harry, Ron and Hermione were sure he had made that rule up on the spot.
Ten. They were tied and then Professor Dumbledore awarded Neville ten points for standing up to his friends.
In the Quidditch match, Slytherin is ahead by 200 points. So Harry being the Seeker, must only catch the Snitch when Gryffindor is ahead by 80 points or more, because if Harry catches the Snitch, the game ends, and they get 150 points, which would put them below Slytherin for the Quidditch Cup.
In Philosopher's Stone, Hermione mentions that she heard Dumbledore was in Gryffindor. It was also confirmed in the Pottermore welcome video for students sorted into Gryffindor House.
He gives 60 points to Harry Potter for being so brave. 50 points to Ron Weasley for the best wizard chess ever in Hogwarts. I don't remember why Hermione Granger got 50 points. And Dumbledore gave 10 points to Neville Longbottom for standing against his friends breaking school rules.
Yes. While Hermione is a stickler for the rules, she is not above breaking them for a good cause. For example, in first year Hermione gets in trouble when she tell Professor McGonagall that she "went looking for the troll." While this is not actually true, she did end up loosing House points from Gryffindor.
If you mean the invisibility cloak then Harry Potter, Ron Weasey and Hermione Granger use it at various points.
Professor Snape took five points from Gryffindor house because he claimed that library books were not to be taken outside the school after he found Harry reading Quidditch Through the Ages in the grounds. Harry, Ron and Hermione were sure he had made that rule up on the spot.
No, The Tales of Beedle the Bard is a collection of five short stories told from various points of view. The book is connected to Hermione because she is supposed to have been the one who translated it from the runes in the original book given to her by Albus Dumbledore in his will.
Harry caught the Snitch after Gryffindor scored 80 points.
Ten. They were tied and then Professor Dumbledore awarded Neville ten points for standing up to his friends.
In the Quidditch match, Slytherin is ahead by 200 points. So Harry being the Seeker, must only catch the Snitch when Gryffindor is ahead by 80 points or more, because if Harry catches the Snitch, the game ends, and they get 150 points, which would put them below Slytherin for the Quidditch Cup.
Severus Snape took many points away from Gryffindor throughout the years. He Favorited Slytherin house and had a grudge against Harry's father, so took it out on Harry.
Neville Longbottom, who was awarded the points after standing up to his friends.
The House Quidditch Cup competition wasn't held, due to the Tri-Wizard Competition. I can find no indication of who won the Inter-house competition, though the Leaving Feast is pretty well covered.