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?
L

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?
L

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?

Tricky summation

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

Rationalizing

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

Rationalize the following fraction:

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

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?

MATHCOUNTS STATE difficulty

by Eddie_tiger, Apr 1, 2025, 1:13 PM

Loading poll details...
I personally thought the problems were much easier than last year, but I didn't really improve as much as I would of liked to improve.

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? 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
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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?
L

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

The oldest, shortest words — "yes" and "no" — are those which require the most thought.

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