HMMT Recap
by ihatemath123, Feb 17, 2025, 12:49 AM
The day started at 6:00 AM when our bus to MIT left. On the bus, we played a couple of games of Avalon and then suddenly an hour had passed and we had arrived. Shiqiao went to the same middle school as one of the HMMT volunteers, and so we got ourselves a private tour guide. He led us to the "Banana Lounge", where we played a game of mafia
By the way, our team was "PEA Chestnuts" (also abbreviated as PEACH on the guts round scoreboard)
Team round
We then went over to a different auditorium for the individual rounds.
Alg/nt
Geo
Combo
Evan did the best on our team, with a 666 (with above-average distributions on each round). Andrew had a 664, and I had a 556. Shiqiao somehow got a 246?! Idk rn but hopefully I can qual for HMIC? kinda worried though since none of us top 10'ed in anything. Lunch was super crowded and everybody got like two slices of pizza. I went with Shiqiao, Anthony and Grant to get boba. The line was so long that we couldn't even pick up our orders before guts started (except me lol i got my order
).
Guts
The guys who couldn't stick around for awards left with our coach to take a bus back to school. Grant had lost his duffel bag earlier on in the day, so he went around the campus retracing his steps. Ultimately, he didn't find it, so we all just headed to awards. The integration bee was cool – Yusuf Sheikh too strong. There was an audience participation question
Then came awards. We were quite sure at least Evan would get top 10 in at least one round, but to our surprise there was nothing – cutoffs on each round appeared to be either insane 6/10's or 7/10's, at the very least. By the time the combinatorics round was finished being announced things were looking grim for our team. Next up was the team round awards. We got sixth – it was a disappointment that our total had only somehow come out to 244, but at least we got an award. Then came guts: we were kicked off the top 10 leaderboard just before the leaderboard froze, but in the last couple minutes we snagged an educated guess on round 7 that brought us back to tied 10th. Ayy, tied 10th is better than what we were expecting tbh. Overall individuals was next, none of our team was mentioned unfortunately.
And at least came sweepstakes. As 10th, 9th, 8th, 7th were announced, we lost a little bit of hope each time. I already texted the team GC saying we didn't get top 10 in sweepstakes. And then NEVERMIND HAHA BECAUSE WE GOT SIXTH?! Came as a pleasant surprise to us. Even though we dropped off from last year, we still did pretty good. Congratulations to Alphastar for their much deserved victory!
The MOP meetup afterwards was pretty fun. The first people Grant and I bumped into were Alan Bu and Max Xu. In their respective typical fashions, Alan congratulated us on our team placement while Max lamented that we hadn't won. We talked with lots of people, got lots of photos, played BS Poker and did some weird things with long sticks that Espen Slettnes had brought. At 11:00 or so my parents picked Grant and I up to go to the hotel, concluding a very long (but fun) day.
Mathwise, this year's HMMT was especially good – the individual rounds were slightly easier than the year before, which made the problem solving a lot more pleasant. The quality of problems was also just really good, even for HMMT standards. Those two mentioned problems on the Guts round were insane, and the team round had some jewels too. It would be so nice if HMMT wrote the AMC and AIME every year.
edit: yay 35th qualed hmic!
bruh Andrew you are banned
. Then we had to stop because the team round was starting soon.By the way, our team was "PEA Chestnuts" (also abbreviated as PEACH on the guts round scoreboard)
Team round
we got 1 thru 6, 8, potential partials on p9 and a two-thirds solution on p10. Somehow this got us a 244 (lower than what we were expecting).
To promote our core non skibi values as Exeter students, we arranged the desks in our room into a harkness table position. Lowkey a good strat, this is something we should try to do (if possible) in the future. We got questions 1-6 and 8 really fast, in maybe 30 minutes or so. I did #3 and #5, which were both really easy for their spots. Unfortunately, in the second half of the test we got barely any progress. I worked with Andrew on #7, Grant worked on #10, and every other person on the test worked on #9. In the end, we got some negligible progress on #9 (showed that linear functions worked when
) and a near-complete solution to #10 by Grant. I was yapping to Andrew the whole time about how "intuitively" the answer to #7 should be no because of stuff like this problem
To promote our core non skibi values as Exeter students, we arranged the desks in our room into a harkness table position. Lowkey a good strat, this is something we should try to do (if possible) in the future. We got questions 1-6 and 8 really fast, in maybe 30 minutes or so. I did #3 and #5, which were both really easy for their spots. Unfortunately, in the second half of the test we got barely any progress. I worked with Andrew on #7, Grant worked on #10, and every other person on the test worked on #9. In the end, we got some negligible progress on #9 (showed that linear functions worked when

Can a square be tiled with concave quadrilaterals?
, but he still persisted that the answer was no. Unfortunately I wasted all my time trying to find a construction.We then went over to a different auditorium for the individual rounds.
Alg/nt
11110 10000 -> 5
I burned through the first five problems in twenty minutes. Problem six was a lot harder and bashier, but after a while I did get that too. At this point I probably had around 20 minutes left, so I skipped past #7 and #8 to try #9, which looked kind of fun. Unfortunately I didn't make much progress. Cool problem though.
I burned through the first five problems in twenty minutes. Problem six was a lot harder and bashier, but after a while I did get that too. At this point I probably had around 20 minutes left, so I skipped past #7 and #8 to try #9, which looked kind of fun. Unfortunately I didn't make much progress. Cool problem though.
Geo
11111 00000 -> 5
Man I'm pissed about this round. The first five problems couldn't have taken me more than 15 minutes. Then I skipped #6 because it looked bashy, and went to #7. I vertically stretched this problem (dropping the
condition and validly assuming
was the orthocenter), but this left me with a nasty trigbash. I spent a ton of time working it out, only to get the wrong answer at the end. I went to #10 next, since it looked a lot like one of the EMCC problems I'd written this year (accuracy p9). I figured out how to theoretically compute the answer, but there were like ten steps and I decided it wasn't worth it to do every single one. Then, I went to #8. I set up some equations and ended up with a single equation in one variable, but after the test I found out I misread the extraction anyways, making it much harder to obtain from my variable. I didn't have enough time to return to #6 by now, so I just checked #1 through #5.
Bruh.
Man I'm pissed about this round. The first five problems couldn't have taken me more than 15 minutes. Then I skipped #6 because it looked bashy, and went to #7. I vertically stretched this problem (dropping the


Bruh.
Combo
11110 11000 -> 6
This test was super nice, and it was also much more merciful in difficulty than last years' combo round. I got 1 through 7 in about 30 minutes (sinking a lot of time with an inefficient method on #5), leaving me once more with a tricky choice between three tricky problems to devote my remaining time to. I tried #9 and #10 for 30 seconds each before committing to #8. This problem kind of terrified me at first, but it became much clearer after spamming examples by drawing bars. Alas I had a mistake in my logic and an incorrect characterization of the probability of
.
It turns out my inefficient method on #5 got me a slightly wrong answer. Tbh I still don't know how I got it wrong though, since I was very careful with my casework. Maybe I multiplied two numbers wrong or something. Maybe I overcounted a case. But this problem seemed to be pretty hard, so it sucked to miss it. Probably could have top 10'ed in this round if I had gotten #5 right?
But yeah this test had some really amazing problems. It always feels great when you get big answers to counting problems by multiplying numbers together (and not adding lots of numbers together). The olympiad flavor of P2,3,7 was nice (P3 especially was amazing).
This test was super nice, and it was also much more merciful in difficulty than last years' combo round. I got 1 through 7 in about 30 minutes (sinking a lot of time with an inefficient method on #5), leaving me once more with a tricky choice between three tricky problems to devote my remaining time to. I tried #9 and #10 for 30 seconds each before committing to #8. This problem kind of terrified me at first, but it became much clearer after spamming examples by drawing bars. Alas I had a mistake in my logic and an incorrect characterization of the probability of

It turns out my inefficient method on #5 got me a slightly wrong answer. Tbh I still don't know how I got it wrong though, since I was very careful with my casework. Maybe I multiplied two numbers wrong or something. Maybe I overcounted a case. But this problem seemed to be pretty hard, so it sucked to miss it. Probably could have top 10'ed in this round if I had gotten #5 right?
But yeah this test had some really amazing problems. It always feels great when you get big answers to counting problems by multiplying numbers together (and not adding lots of numbers together). The olympiad flavor of P2,3,7 was nice (P3 especially was amazing).
Evan did the best on our team, with a 666 (with above-average distributions on each round). Andrew had a 664, and I had a 556. Shiqiao somehow got a 246?! Idk rn but hopefully I can qual for HMIC? kinda worried though since none of us top 10'ed in anything. Lunch was super crowded and everybody got like two slices of pizza. I went with Shiqiao, Anthony and Grant to get boba. The line was so long that we couldn't even pick up our orders before guts started (except me lol i got my order

Guts
I was partnering with Grant as the "geometry" pair. Tbh after a certain point Grant just started carrying and I was just checking solutions.
This round went kind of mid, we got P11 wrong (misreading
as
) and by the time we were at round 7 we were all kind of cooked. But there were some really nice problems on this round. Namely P17 and P20. Round 5 was just insane ig. It was also the last round where we were able to do every question.
This round went kind of mid, we got P11 wrong (misreading


The guys who couldn't stick around for awards left with our coach to take a bus back to school. Grant had lost his duffel bag earlier on in the day, so he went around the campus retracing his steps. Ultimately, he didn't find it, so we all just headed to awards. The integration bee was cool – Yusuf Sheikh too strong. There was an audience participation question
Find
![\[\int_{-\infty}^{\infty} \frac{\lfloor x \rfloor}{e^x + e^{-x}}.\]](//latex.artofproblemsolving.com/f/5/3/f53fafc2f7fc0d7a13a66ae7091927411f8785b0.png)
, which was really cool. I submitted an answer but it turned out to be wrong ![\[\int_{-\infty}^{\infty} \frac{\lfloor x \rfloor}{e^x + e^{-x}}.\]](http://latex.artofproblemsolving.com/f/5/3/f53fafc2f7fc0d7a13a66ae7091927411f8785b0.png)

Then came awards. We were quite sure at least Evan would get top 10 in at least one round, but to our surprise there was nothing – cutoffs on each round appeared to be either insane 6/10's or 7/10's, at the very least. By the time the combinatorics round was finished being announced things were looking grim for our team. Next up was the team round awards. We got sixth – it was a disappointment that our total had only somehow come out to 244, but at least we got an award. Then came guts: we were kicked off the top 10 leaderboard just before the leaderboard froze, but in the last couple minutes we snagged an educated guess on round 7 that brought us back to tied 10th. Ayy, tied 10th is better than what we were expecting tbh. Overall individuals was next, none of our team was mentioned unfortunately.
And at least came sweepstakes. As 10th, 9th, 8th, 7th were announced, we lost a little bit of hope each time. I already texted the team GC saying we didn't get top 10 in sweepstakes. And then NEVERMIND HAHA BECAUSE WE GOT SIXTH?! Came as a pleasant surprise to us. Even though we dropped off from last year, we still did pretty good. Congratulations to Alphastar for their much deserved victory!
The MOP meetup afterwards was pretty fun. The first people Grant and I bumped into were Alan Bu and Max Xu. In their respective typical fashions, Alan congratulated us on our team placement while Max lamented that we hadn't won. We talked with lots of people, got lots of photos, played BS Poker and did some weird things with long sticks that Espen Slettnes had brought. At 11:00 or so my parents picked Grant and I up to go to the hotel, concluding a very long (but fun) day.
Mathwise, this year's HMMT was especially good – the individual rounds were slightly easier than the year before, which made the problem solving a lot more pleasant. The quality of problems was also just really good, even for HMMT standards. Those two mentioned problems on the Guts round were insane, and the team round had some jewels too. It would be so nice if HMMT wrote the AMC and AIME every year.
edit: yay 35th qualed hmic!
This post has been edited 1 time. Last edited by ihatemath123, Feb 22, 2025, 12:58 AM