2025 AMC 10A Problems

2025 AMC 10A (Answer Key) Printable versions: • AoPS Resources • PDF

Instructions This is a 25-question, multiple choice test. Each question is followed by answers marked A, B, C, D and E. Only one of these is correct. You will receive 6 points for each correct answer, 2.5 points for each problem left unanswered if the year is before 2006, 1.5 points for each problem left unanswered if the year is after 2006, and 0 points for each incorrect answer. No aids are permitted other than scratch paper, graph paper, ruler, compass, protractor and erasers (and calculators that are accepted for use on the SAT if before 2006. No problems on the test will require the use of a calculator). Figures are not necessarily drawn to scale. You will have 75 minutes working time to complete the test.

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Problem 1

No cheating :)

Problem 2

Dear Admin,

I am sorry for what I and my friend have done. We are truly sorry and won’t do this again.

Problem 3

Someone deleted Question 15. Could you pweeze add it back. My friend and I are extremely sorry for what we have done.

Problem 14(34)

this is kim dokja. for 10 years kim dokja has been reading a book, which just ended today. with nothing else to read, he kickstarts the apocalypse. this is yoo joonghyuk, the novel’s protagonist, who also happens to be a bit of a psychopath. he greets kim dokja by grabbing him by the neck. let's be companions, says kim dokja. sure, says yoo joonghyuk, still holding him by the neck. to celebrate their new friendship, he throws kim dokja off a bridge into a large monster’s mouth but escapes death by making a trade deal with a supernatural creature kim dokja gathers a squad. ding ding ding. kim dokja’s sunfish depression sensor is tingling. yoo joonghyuk stop being depressed, says kim dokja while smacking his cheeks turns out kim dokja isn't the only person who reads. he gets invited to a rather sizable book club, except no one has finished reading the book. thanks to that, kim dokja gets his first kill so far. it's himself. yoo joonghyuk gets a debuff so kim dokja punches him to assert dominance. everyone claps. as a reward, he gets to sit on a big chair, which he destroys in anger. it's quiz time. yoo joonghyuk sees kim dokja as a companion, says yoo joonghyuk. c-nt, says kim dokja. kim dokja sacrifices himself for yoo joonghyuk, who develops anger management issues as a result. approximately 5 seconds later kim dokja sacrifices himself again and saves the city. after his death the people honor his noble memory by calling him ugly at his funeral. the squad has a very serious discussion about kim dokja’s kinks. after listening to this, kim dokja dies yoo joonghyuk grabs kim dokja by the neck and throws him into a large monster’s mouth, but this time with consent. also, kim dokja dies legend says that kim dokja is going to die, but for real this time. no worries, chuckles kim dokja, death is a social construct. yoo joonghyuk has a plan, he wants to sacrifice himself. hey, only i can do that, says kim dokja and sacrifices himself first to assert dominance kim dokja gets thrown into the garbage, where he belongs. kim dokja and yoo joonghyuk lead a coup d'etat while cosplaying as each other kim dokja and friends fight the sun kim dokja has a plan. he wants to sacrifice himself again. oh no, says his companions. oh yes, says kim dokja as he flies into a large squid’s mouth kim dokja gets deported and takes a holiday to the space-time continuum while his companions recover from ptsd yoo joonghyuk of the past tells kim dokja to kill yoo joonghyuk of the past so kim dokja makes yoo joonghyuk of the past eat dirt but accidentally turns one yoo joonghyuk into two yoo joonghyuks one of the yoo joonghyuks kills the other yoo joonghyuk and goes on to be yoo joonghyuk of the future who is also yoo joonghyuk of the present meanwhile yoo joonghyuk of the past who is a different yoo joonghyuk from these other two yoo joonghyuks is rather miffed about this whole thing and sends kim dokja back to his companions as an ugly squid everyone, especially yoo joonghyuk of the present, is also miffed at kim dokja for being a suicidal idiot and nobody forgives him kim dokja and friends fight the cast of percy jackson the squad discovers they are all part of kim dokja’s self-insert fanfiction. no one is too thrilled about this. yoo joonghyuk finds out that kim dokja once chose yoo joonghyuk of the past over yoo joonghyuk of the present and confronts kim dokja, feeling betrayed and wanting to ask why he would do this, and whether this world still held any meaning for him or if their companionship was all a lie. but, he says none of this. instead he says, "kim dokja i'm going to kill you" kim dokja had never wanted to betray or hurt yoo joonghyuk but wanted to save yoo joonghyuk of the past and present and reach an end where both yoo joonghyuks are happy. but, he says none of this. instead he says, "yoo joonghyuk im going to kill you" han sooyoung gets so fed up with their bullshit that she dies. 5 seconds later she decides it’s not worth it and comes back to life. meanwhile, yoo joonghyuk gets eaten by a wall kim dokja is feeling a bit itchy since he hasn’t sacrificed himself in a while. luckily, a great war is happening. it accidentally creates the apocalypse. kim dokja’s solution to fighting the apocalypse is to summon an even bigger apocalypse to fight the apocalypse but ends up getting dragged into the new apocalypse yoo joonghyuk of the past comes to kidnap kim dokja but is stopped by yoo joonghyuk of the present so yoo joonghyuk and yoo joonghyuk fight for custody but yoo joonghyuk wins and takes kim dokja away kim dokja wakes up surrounded by several small yoo joonghyuks and one large yoo joonghyuk. he passes out one of the small yoo joonghyuks turns into a dumpling and escapes with kim dokja. the squad is too busy writing fanfic about themselves to notice. kim dokja saves himself from becoming kim dokja the squid by becoming kim dokja the monkey. kim dokja the monkey fights evil with his monke brethren. yoo joonghyuk of the past and yoo joonghyuk of the present have a fight to see which yoo joonghyuk is the bigger tsundere. unsurprisingly, it’s yoo joonghyuk. after all that, kim dokja gets kidnapped again anyways kim dokja turns into a dumpling and wakes up surrounded by many small yoo joonghyuks, who all start kicking him. kim dokja finally returns to his squad. i’m back, says kim dokja. go fuck yourself, the squad replies. as retaliation, kim dokja gets kidnapped by his squad for a mandatory company vacation where failure to socialize is punishable by death. kim dokja turns into squid to sacrifice himself in order to un-sacrifice himself because he made a promise to stop sacrificing himself kim dokja and friends fight the marvel cinematic universe while yoo joonghyuk rides kim dokja like a surfboard. they meet the final boss. it’s a wall. they break the wall but must go through a different wall to get to the other side of the wall, where kim dokja meets kim dokja of the past. kim dokja wants to kill kim dokja but is stopped by yoo joonghyuk and yoo joonghyuk of the past who takes kim dokja of the past back to daycare. one kim dokja turns into two kim dokjas one half of kim dokja goes to aid yoo joonghyuk of the past and sends him off to become yoo joonghyuk of the future who is also yoo joonghyuk of the present. meanwhile the other half of kim dokja is with yoo joonghyuk of the present who wants to go to the past to save the half of kim dokja of the present and stop him from sacrificing himself this is kim dokja. for 10 years kim dokja has been reading a book, which just ended tod- hey wait a second han sooyoung who was previously many han sooyoungs had turned into two han sooyoungs one of whom was han sooyoung of the future who became han sooyoung of the past who then turned into two han sooyoungs to turn back into the one han sooyoung who later became the two han sooyoungs han sooyoung and friends play a dangerous game of tug-of-war. this gets tiring so they opt for a jigsaw puzzle instead, except nobody knows where the pieces are everyone needs therapy, including myself. on the bright side, at least they all have jobs except for yoo joonghyuk, who turns to terrorism and theft. yoo joonghyuk goes to space and has an existential crisis after he sorts his life together he helps han sooyoung brainwash innocents into plagiarizing her own book and with the power of imagination they successfully resurrect kim dokja and everyone claps

Problem 25

If the answer to this problem is , find .

See Also

• AMC 10
• AMC 10 Problems and Solutions
• Mathematics competitions
• Mathematics competition resources

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.