Square Track

by orangefronted, Apr 3, 2025, 6:46 AM

Ziron and Zane are running around a square track at constant speeds. Ziron runs at a speed of 2 meters per second, while Zane runs twice as fast as Ziron. They begin at the same point and start running in opposite directions. If they meet after exactly 8 seconds, what is the area enclosed by the square track?

Easy Counting?

by orangefronted, Apr 3, 2025, 6:45 AM

Lucien randomly picks two distinct numbers at the same time from the following group of numbers: $\frac{1}{8}, \frac{1}{4},\frac{1}{2},1,2,4,8$ . If the product of the 2 numbers is also a member of this group, how many selections can be done?

prime factorization formula questions

by Soupboy0, Apr 3, 2025, 2:54 AM

If i have a number, say $N$ with prime factorization $p_1^{e_1}p_2^{e_2}...p_n^{e_n}$ , and I want to find $3, 4, 5, ..., k$ numbers that multiply to $N$ , does anybody know a formula for this?

number theory

prime factorization

Tricky summation

by arfekete, Apr 2, 2025, 2:15 AM

If $\dots = 7$ , what is the value of $1 + 2 + 3 + \dots + 100$ ?

Summations

computation

April Fools

Rationalizing

by mithu542, Apr 2, 2025, 2:02 AM

Rationalize the following fraction:

$\dfrac{5\sqrt{2}-2+\sqrt{6}}{24-10\sqrt{2}}.$

rationalizing denominators

Probability NOT a perfect square

by orangefronted, Apr 1, 2025, 5:37 PM

Mike decides to play a game with himself. He begins with a score of 0 and proceeds to flip a fair coin. If he lands on heads, he adds 2 to his score. If he lands on tails, he subtracts 1 from his score. After 5 flips, what is the probability that Mike’s score is not a perfect square?

probability

2026 AMC 8C

by ChaitraliKA, Apr 1, 2025, 1:03 PM

You’ve never seen an AMC 8 quite like this…

We, ChaitraliKA and Aaronjudgeisgoat, present
THE 2026 AMC 8C

Context

This is a totally legit mock test that you can use to predict what your real AMC 8 score will be!
We created many high quality problems for this test, and put our blood, sweat, and tears into it (and if u dont take it we’ll put your blood into it as well). We GUARANTEE that when you take a look at the problems, you will be stunned by the sheer quality oozing out of them. We know this for certain as we got this exact reaction from every single newborn baby that volunteered to take this test. This mock is perfect, not just for people looking to ace the AMC 8 next year, but even for high schoolers.

ChaitraliKA wrote:

This was my first time making a mock, I wanted to make it as realistic as possible. As a person who has never taken an AMC 8 before, I thoroughly researched the types of problems and the format before making this. After some deep analysing, I have come to the conclusion that our mock highly resembles an AMC 8 with a -100% margin of error. I personally enjoyed making this, and put my heart and soul into making the problems and writing out the solutions. There was a lot of collaboration and every question has approval from both of us. As the most respected Cringe Nerdy Mathematician in history, I can guarantee you that it's not only about the math, it's about the experience of taking it. Please scroll down and take the test now. Thank you.

Aaronjudgeisgoat wrote:

After writing a MATHCOUNTS mock, I figured I would try and take it a step further - create an AMC 8 mock. As a fellow person who has never taken an AMC 8 before, I knew there was work needed to be done before I could accurately create one. I thoroughly reviewed the rules for this test, as well as the format. I even made sure to make every single answer choice viable, simulating the silliable nature of the actual AMC 8. We reviewed every single question, answer and solution, and after cross-comparing it with actual MAA exams, I found that it's not 100% accurate to the exam, but 200% accurate. That's right, it's accurate and even more accurate. Overall, this was a very fun experience, creating my first AMC mock so that people in need of math problems have something to work on. I thank @ChaitraliKA for giving me the opportunity to problem write, and I had a very fun time collaborating with the Cringiest and Nerdiest Mathematician of them all. In conclusion, I implore you to click the link below and proceed with the test, as not only will you learn, you will have fun.
Thank you for your blood.

You have two options on how to take it: Google Docs or MathDash
Google Docs:
Problems
Please read the guidelines carefully, and submit your answers for grading to ChaitraliKA and Aaronjudgeisgoat through AoPS PMs. We will send you the solutions as well, once we have graded you.
MathDash:
https://mathdash.fly.dev/contest/2026amc8c
If you do it on MathDash, we will still send you your final score through AoPS PMs, due to some issues.

We expect to start grading on April 15.

The leaderboard will be updated on the MSM post.
Good luck

!

Please don't get this locked again. I will be very sad if that happens, because this is my 1000th post :wow:

. We put a lot of effort into this. If you're going to be a goody-two-shoes, just try to solve the legit problems and ignore the rest.

If you don't want to waste time, here are the legit problems that we would like you to try

High quality

AMC 8

View Comments (15)

2025 MATHCOUNTS State Hub

by SirAppel, Apr 1, 2025, 12:22 PM

Previous Years' "Hubs": (2022) (2023) (2024)Please Read

Now that it's April and we're allowed to discuss, and no one else has made this yet ...

CA: 43 (45 44 43 43 43 42 42 41 41 41)
NJ: 43 (45 44 44 43 39 42 40 40 39 38) *
NY: 42 (43 42 42 42 41 40)
TX: 42 (43 43 43 42 42 40 40 38 38 38)
MA: 41 (45 43 42 41)
WA: 41 (41 45 42 41 41 41 41 41 41 40) *
FL: 39 (42 41 40 39 38 37 37)
IN: 39 (41 40 40 39 ?? 35)
NC: 39 (42 42 41 39)
IL: 38 (41 40 39 38 38 38)
OR: 38 (44 41? 38 38)
PA: 38 (41 40 40 38 38 37 36 36 34 34) *
MD: 37 (43 39 39 37 37 37)
CT: 36 (44 39?
One user claimed 38 whereas another claims 39
38 36 34 34 34 34)
MI: 36 (39 41 41 36 37 37 36 36 36 36) *
MN: 36 (40 36 36 36 35 35 35 34)
CO: 35 (41 37 37 35 35 35 ?? 31 31 30) *
GA: 35 (38 37 36 35 34 34 34 34 34 33)
OH: 35 (41 37 36 35)
AR: 34 (46 45 35 34 33 31 31 31 29 29)
WI: 34 (40 37 37 34 35 30 28 29 29 29) *
NH: 31 (42 35 33 31 30)
DE: 30 (34 33 32 30 30 29 28 27 26? 24)
SC: 30 (33 33 31 30)
IA: 29 (33 30 31 29 29 29 29 29 29 29 29 29) *
NE: 28 (34 30 28 28 27 27 26 26 25 25)
SD: 22 (30 29 24 22 22 22 21 21 20 20)

Cutoffs Unknown

* means that CDR is official in that state.

Notes

For those asking about the removal of the tiers, I'd like to quote Jason himself:

peace09 wrote:

learn from my mistakes

Help contribute by sharing your state's cutoffs!
As per last year's guidelines, refrain from problem discussion until their official release on the MATHCOUNTS website.

This post has been edited 58 times. Last edited by SirAppel, Today at 2:45 AM

I cant find one problem

by tanujkundu, Sep 17, 2024, 3:00 AM

Does anybody know which problem is about when a number is a meteor and when a number is a shooting star?

Factoring Marathon

by pican, Aug 4, 2015, 9:40 PM

Hello guys,
I think we should start a factoring marathon. Post your solutions like this SWhatever, and your problems like this PWhatever. Please make your own problems, and I'll start off simple: P1

This post has been edited 1 time. Last edited by pican, Nov 15, 2015, 12:40 AM

marathon

Factoring

math

Submit

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it started when I was an infant
wow and like 1.5 million views
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no ur cool

tbh it scares me too I still dont know where those views came from
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it scares me how many views this blog has
by prettyflower, Sep 29, 2024, 9:38 AM
bruh
this blog started when i was like 2 months old
by TimmyL, Sep 27, 2024, 9:18 AM
1579363 visits rn, curious how many views (if any) this blog gets now
by EpicSkills32, Sep 16, 2024, 10:47 AM
interesting lol
by EpicSkills32, Jul 27, 2024, 11:27 AM
EpicSkills32 reaped on Jul 27, 18:44:19 and gained 10 minutes, 57 seconds

orz orz orz

highest raw of the game so far
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1.5M views pro
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cani be contriB?
I'll add you

BTW, lets talk about the NBA playoffs 2012
by shazi, May 19, 2012, 4:19 PM
ur css is intersting
by PPrakash, May 19, 2012, 4:18 PM
This CSS is really cool! How did you do it??
by pi_Plus_45x23, May 17, 2012, 5:51 PM
what!?
nav bar is not spinning
by El_Ectric, May 17, 2012, 5:43 PM
contrib please?
by pi_Plus_45x23, May 16, 2012, 3:14 PM
Why is the blog spinning? I have never encountered this in my life. Sure makes typing difficult..
by IdanCarre, May 16, 2012, 2:53 PM
ok electric
by EpicSkills32, May 15, 2012, 5:59 AM
MY BLOG IS MORE BORING
ALONG WITH OCCASIONAL MISUSE OF CAPS
by Grindar, May 13, 2012, 5:38 PM
contrib???
by El_Ectric, May 10, 2012, 7:13 PM
by EpicSkills32, May 2, 2012, 5:22 AM
by EpicSkills32, Apr 26, 2012, 5:11 PM

536 shouts

Seems