Here are the matches for section A:
He is washing - a) the house.
She is writing - c) a letter to her pen friend.
He is buying - e) a present for his girlfriend.
She is cooking - f) dinner.
He is repairing - d) the car.
He is climbing - b) up the mountain.
He is watching - h) television.
He is playing - g) the piano.
He is cleaning - j) the dishes.
He is reading - i) a book.