2026 IAC National Mathematics Bee Finals (6th Grade)

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[00:00:00]the following expression 54 * 46 - 781 >> yes red one >> um 17,7 >> I am sorry that is uh a minus one yeah yes yes red two >> three >> that is correct and that would be for five points because I already read the question twice Poss two non-computation.

[00:00:33]When reduced modulo 2, this structure that satisfies the hockey stick pattern produces a fractal pattern.

[00:00:42]>> Green tube >> passel triangle.

[00:00:44]>> That is correct. Six toss of three. Read twice. Computation basic. How many pencils are there? If there are nine erasers for every two pencils and there are 300 >> uh yes >> I I didn't even read the 360 >> pos twice computation pyramidal the sub factorial of n is defined as the number of ways the numbers one through n can be ordered such that no number is in its correct position as in one is in first, two is in second etc. You want to find the sub factorial of three. You know that the sub factorial of >> five >> I am sorry red three that is a minus two. You know that the sub factorial of n can be approximated rounding you know that the sub factorial of n can be approximated rounding n factorial over 2.7. So you plug in three, >> two, >> that is correct. Uh, red five, you get six points.

[00:01:58]>> But there is one >> the volume is turned all the way up.

[00:02:04]Unfortunately, I don't know why it's not louder.

[00:02:06]>> Sometimes these >> speakers covered up.

[00:02:11]>> It's It's on the bottom.

[00:02:13]>> Well, that might be it. But >> I'm propping it up.

[00:02:18]>> No, same thing. shopping. It's hard to prop it up.

[00:02:21]>> Maybe it's a maybe it's an old buzzer system. So, >> probably regardless, as long as the lights are working since we're chatting first >> Yeah, I had it as one since I already >> Okay, there was a scoreboard there. But number five, read twice computation basically. What is -1 to the^ of 4 -14 plus >> uh >> red >> like 20 >> I am sorry that is -2 uh what is 1^ 4 -14 + 53 all >> 22 >> I'm sorry that is a -2 >> 66 >> the answer was 19 red three. You also get a nag. Uh it was I'm going to go by six twice computation basic. A cube has side lengths of five. What is >> six points to red?

[00:03:46]>> I was going to ask about the ball.

[00:03:49]I'm not to try and trick people.

[00:03:52]>> Well, um I can't say that there aren't trick questions here.

[00:03:58]>> I'm scared as >> there's no be scared. Just me. You know, we're just going through the game. Poss seven. Non computation objects with lower value of this quantity float in fluids with higher value.

[00:04:12]Um >> that is correct. Red three. You get six points.

[00:04:21]of eight read twice computation basic what is the value of y if 8 * y - 51 = 5 >> red two >> sad >> that is correct for six Toss up six.

[00:04:48]>> Toss up six. Yes.

[00:04:49]>> Um, who got it right?

[00:04:51]>> Red five.

[00:04:51]>> Red five.

[00:04:52]>> And he got six.

[00:04:53]>> Thank you.

[00:04:54]>> There were no other buzzes.

[00:04:55]>> Thank you.

[00:04:56]>> Sure thing. Number nine. Read twice.

[00:05:00]Computation pyramid.

[00:05:03]On a cartisian plane, you travel in straight line paths from the origin to 50, then to 56, then back to the origin.

[00:05:15]You want to log the distance you traveled. To do this, you find the perimeter of the triangle that you traced out.

[00:05:23]Red two >> um 11 plus one.

[00:05:28]>> Yes, that is correct. And I did not say last size. So that would be six points for red two 10 read twice. Computation basic. A set of test scores is 72 85 88 90 95 100.

[00:05:54]What is the median?

[00:05:58]>> That is correct. Six points to green by >> yes >> just just for an official score check we have Albert with three Ishani with 15 with two with zero Quentyn with number 11 read twice computation basic you have 28 apples per basket and seven ribbits per basket How many apples do you have if you have 91 >> ripped green?

[00:06:37]>> Sorry.

[00:06:38]>> 364.

[00:06:39]>> That is correct. Six points to green three.

[00:06:47]>> Yeah.

[00:06:49]>> Oh.

[00:06:54]>> Oh, I I see you. Number 12.

[00:06:57]Noncomputation.

[00:06:59]Approximately computing this function is made possible by repeatedly adding an estimate to the input value >> square root.

[00:07:07]>> That is correct. Six points to red >> 13 reach twice computation basic. If V is equal to 13 and W is equal to 41, what is the area of a triangle with a base of 4 V -1 and a height of 2 W uh - 53? If V is equal to 13 and W is equal to 41, what is the area of a triangle with a base of 4 V minus 1 and a height of 2 W >> minus three?

[00:07:48]>> Uh, 147.

[00:07:50]>> I am sorry.

[00:07:52]>> Uh, 739.5.

[00:07:56]>> I Yes. Uh, I think that Yeah, that would be six points to red five.

[00:08:06]14.

[00:08:07]Read twice. Computation pyramidal. You walk five laps tracing a semicircle with a diameter of 6 m walking along the curve and the diameter and you want to approximate how far you have walked using >> 15.

[00:08:25]>> Um what? No wait. Um no I am sorry using >> 30 + 22.5 >> I am sorry uh red three and red five that is both a -2 >> 30 + 5 >> what is that when you round pi to three >> oh uh 72 >> that is correct and uh you cannot It was a prompt. It specifically says prompt on 15 pi + 30 with what is that when you p say >> so >> yes it is an interesting question but one you did get six points on it >> 15 read twice computation basic if z is a multiple of three and four and 2,197 is less than Z is less than 2,220.

[00:09:43]What is the value of Z? If Z is a multiple of three and four >> uh >> green >> 2,29 >> I am sorry >> 22 >> is less than >> that is >> yeah that is 6.34 16 twice computation basic. A school bus can hold 47 students. What is the minimum number of buses needed for 391 students? A school >> 35 >> eight.

[00:10:33]>> I am sorry. The >> uh >> green three >> nine.

[00:10:39]>> That is correct. So a six coins for green three minus two for green five >> 17 non computation this awards first recipients were ls all and Jesse Douglas and it is traditionally restricted to recipients under the age of 40 winners of this >> I am sorry red tube that is negative2 Sorry.

[00:11:11]>> Meadow.

[00:11:12]>> Could you spell that?

[00:11:14]>> Fields meadow. F I >> Yes. Fields medal. So, sorry. I uh I heard peels meadow and I wasn't sure.

[00:11:21]But that is Did I say winners of this prize?

[00:11:25]>> Yes.

[00:11:26]>> Then in that case, that is five points for green.

[00:11:37]>> Okay. Number 18.

[00:11:41]Read twice computation basic. Give your answer in simplest fractional terms.

[00:11:47]What is 4th * 37us 135th?

[00:11:54]>> 11th.

[00:11:55]>> That is correct. Uh six points to uh red.

[00:12:06]>> Guys, let's be polite, please. How about this? We were just at uh question 18. Uh we can go through 19 and 20 and then have a score check. Does that sound good to everyone?

[00:12:17]>> Okay.

[00:12:18]>> 25.

[00:12:19]>> 25.

[00:12:21]All right. Number 19. Read twice.

[00:12:24]Computation pyramidal. Give your answer in simplest fractional terms. There are 12 total members of club A, 21 total members of club B. And there are six people who are members. Sorry one. That is minus two. You want to calculate the probability that a randomly picked student is only in one club.

[00:12:42]>> First and three.

[00:12:44]>> Was it 21 over 20? Uh 21 over 709.

[00:12:48]>> Um yes, you corrected yourself in the middle. So that is correct. And that would be six points for green.

[00:13:03]>> Yeah, you get you got the right number points. Number 20. after which there will be a score check. Leave twice computation based. Solve the following equation for n. 4 n^2 + 14 =458.

[00:13:20]Solve the following equation for n. 4 n ^2 + 14 =,458.

[00:13:29]You have 30 seconds to answer.

[00:13:35]>> Green three. Uh N= >> that is correct and that would be for five points for green tree >> 21 yes score check I'm sorry scores are as follows Albert with one 13 a six zero Quenton 20 Matthew 6 Mavan 25 11 4 Okay is everyone in Yes, >> that is good. We will move on to number 21.

[00:14:10]Read twice computation basic. What is the area of a square with a perimeter of 64?

[00:14:18]>> Um yeah, red three.

[00:14:20]>> What?

[00:14:21]>> Red three.

[00:14:22]>> Oh, >> uh 256.

[00:14:26]>> That is correct. Yes. Six points for red three.

[00:14:31]22 non computation the quantity n minus one factorial is congruent to this value modulo n per Wilson's theorem this is the smallest digit in balanced turnary and oiler's identity occurs that asserts that ei >> that is correct yes 52 Type two 23 >> range twice computational basic if g = 53 what is 4g minus 8 >> 204 >> that is correct six points to r >> 24 read twice computation with your How is 40?

[00:15:31]>> 30.

[00:15:32]>> Okay.

[00:15:33]>> Well, in any case, 24 breathes twice.

[00:15:36]Computation pyramidal. A meteorologist wants to find the change in temperature from 600 p.m. on day 1 to 6 p.m. day 2.

[00:15:44]On day one, the temperature was 46° at 3 p.m. and increased by 5° each hour until 6 p.m. Um, green five.

[00:15:54]Um 20 >> I am sorry that is minus 2 >> 60 >> that is also minus 2 for red four decreased by 4° each hour until 6 p.m.

[00:16:06]the meteorologist.

[00:16:08]>> Uh, >> yes. Scream three.

[00:16:10]>> I don't know.

[00:16:12]>> The answer was 32 degrees.

[00:16:19]>> I skipped a section of the question.

[00:16:28]>> I read the question as written and if I skip a few, please let me know. A meteorologist wants to find the change in temperature from 6 p.m. on day 1 to 6 p.m. day 2. On day one, the temperature was 46° at 3 p.m. and increased by 5° shower until 6 p.m. On day two, the temperature was 41°.

[00:16:47]>> We skipped on day two.

[00:16:52]He get >> So I will read a replacement question.

[00:17:01]If you buzzed Prior to me making the skip, please do not buzz in on the replacement.

[00:17:08]>> There's no replacement needed.

[00:17:12]>> Choice.

[00:17:14]>> You were fine.

[00:17:15]>> You're fine.

[00:17:16]>> Oh. Oh, I did not actually skip anything.

[00:17:21]>> Okay. So, we have night two on that question for green four, green three, and red.

[00:17:38]Okay. 25 read twice computation basic.

[00:17:42]In simplest fractional form, what is 1/3 + 35ths all divided by 76.

[00:17:50]In simplest fractional form, what is 13 red two?

[00:17:55]>> Um four.

[00:17:58]>> That is correct. Yes. Six points for red uh two.

[00:18:06]All right, congratulations everybody.

[00:18:26]And we have red toani with 24 with 20.

[00:18:41]And fourth place uh red three osprey with 12.

[00:18:53]In fifth place, uh, green for AR with 11.

[00:19:03]In sixth place, green to Matthew with six.

[00:19:12]Seventh place, Green Five, Ray with three.

[00:19:22]green one with one for >> I want to say congratulations to everyone.

[00:19:37]Yeah, >> please be not.