8. They are keen on traveling and exploring new cultures around the world.
like = keen on: thích
9. He suggested taking a short rest and going out for a drink.
Why don't we = suggest + V-ing: đưa ra đề nghị
10. Do you mind turning down the volume a bit? It's too loud for me. 
Could you please + V = Do you mind + V-ing: đề nghị ai đó làm gì 
11. Finishing the task in such a short time is very difficult for me.
V+ing = N, làm chủ ngữ
12. I would like to thank you for always being there for me during difficult times.
I am grateful to you = I would like to thank you: cảm ơn, biết ơn ai đó
13. I enjoy spending my weekends hiking in the mountains.
fond of + V-ing = enjoy + V-ing: thích làm gì 
14. Being awarded the first prize in such a prestigious competition was an unforgettable experience for Huong.

Đảo ngữ.