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?

max number of candies

by orangefronted, Apr 3, 2025, 6:43 AM

A store sells a strawberry flavoured candy for 1 dollar each. The store offers a promo where every 4 candy wrappers can be exchanged for one candy. If there is no limit to how many times you can exchange candy wrappers for candies, what is the maximum number of candies I can obtain with 100 dollars?

This post has been edited 1 time. Last edited by orangefronted, Today at 6:44 AM
Reason: typo

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

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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tbh it scares me too I still dont know where those views came from
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this blog started when i was like 2 months old
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1579363 visits rn, curious how many views (if any) this blog gets now
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interesting lol
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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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BTW, lets talk about the NBA playoffs 2012
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what!?
nav bar is not spinning
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contrib please?
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Why is the blog spinning? I have never encountered this in my life. Sure makes typing difficult..
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ok electric
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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