I/you/we/they hope. He/she/it hopes. The present participle is hoping.
Goals
He hopes to achieve more medals, be the best as he can be
I/you/we/they hope. He/she/it hopes. The present participle is hoping.
When writing a formal letter, the action the author of the letter hopes to achieve should be found in the:
Past tense - hoped. Present tense - I/you/we/they hope. He/she/it hopes. The present participle is hoping. Future tense - will hope.
His hopes and dreams were to fly a magical unicorn
A successful letter, that is a message from one person or organization to another, will achieve what the sender intends it to, or hopes it will, achieve.
Bing Crosby and Dean Martin Present High Hopes - 1959 TV was released on: USA: 15 October 1959
They do stuff, and the stuff, in achievement with the other bodies doing other stuff, achieve the stuff that the UN hopes to achieve.
'Tom hopes to do really well on this exam' is a correct sentence. Currently, the sentence is in the future and present tense. To change it to past, change 'hopes' to 'hoped'.
The word 'hopes' is both a verb and a noun: The verb hopes is the third person singular present, plural (hope, hopes, hoping, hoped). The noun hopes is the plural form for the singular noun hope.