Darkness of Light (2013) by Stacey Marie Brown.
It's the accepted answer to this Goodreads identification request, posted the same day as this very SFF question and worded the same.
The Goodreads blurb itself isn't that much of a match, but still:
Ember Brycin has always known she’s different. After finding her mother brutally murdered, her mind begins ...
Borrowing from my earlier answer:
"A Message from Charity", by William M. Lee.
Peter Wood is a teenager sick with a fever that puts him in telepathic contact with Charity Payne, a Puritan girl from Colonial America (specifically 1700), who also has the same type of fever. The two share realistic thought-visions of each other's worlds, and Charity has a ...
It's not a perfect match, but I think this may be Dead Zone by Robison Wells, the second book in his Blackout series:
The cover is indeed red, and the book starts:
Zasha Litvyak flew across the northern Pacific, low enough that she could feel the salty spray as the ocean surged. This was the culmination of years of preparation; everything had led to this ...
The World and Thorin by Damon Knight. Some similar passing themes of a boy travelling through different layers in a generation ship, eating cube food, finding an AI computer box. Does the cover strike a bell?
Christopher by Richard M. Koff
Christopher is 13 and often too smart for his own good. He hates
school and can’t seem to stay out of trouble. On a dare he knocks on a
door to a house all his friends say is haunted and meets a strange,
quiet man who calls himself the Headmaster.
The Headmaster starts Christopher on a series of lessons unlike
My first thought was Welcome to Mars! by James Blish. I read it as a child and didn't really understand it (too young), but I remember it well.
Dolph Lundgren is a precocious teen who builds his own spaceship in his garden shed. He flies to Mars in it and crash-lands. He lives there for some time, sustained by eating the fungus and lichen that he finds ...
Possibly Reckoning by Kerry Wilkinson. Published 2014 so more recent than the Hunger Games novels, but within the time the movies were released. One of a series of three.
In the village of Martindale, hundreds of miles north of the new English capital of Windsor, sixteen-year-old Silver Blackthorne takes the Reckoning. This coming-...
The Waterborn by Greg Keyes. Seems there are only two books in the series, and both are available on Kindle.
The River flowed through all the land, deep and unstoppable, a god in his own right. His head was in the mountains; his arms embraced the outlands; his body lay at the core of all the civilized realms; and his legs stretched on to the distant sea. ...