Email Art of Problem Solving

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Mock MATHCOUNTS.pdf (68kb)

2008 posts

nosaj

#1 h Apr 25, 2015, 8:35 PM • 12 Y

Y by CaptainFlint, DeathLlama9, Mudkipswims42, uwotm8, dantx5, Benq, pandyhu2001, PlatinumFalcon, 24iam24, suvamkonar, Adventure10, Mango247

http://www.mathcounts.org/sites/default/files/u1706/cropped.MC_Logos_rgb6.jpg

Hello everyone! Many AoPSers have been collaborating over the past month to write a mock MATHCOUNTS competition. This competition will be around State/National level. ~~As of now, all of the problems have been written, and we just need to finish proofreading it. We anticipate that the test will be released within the next few weeks.~~ If you would like to participate, please sign up below. Thank you!

Update: The test has been released! It is attached to this post. The deadline will be May 31, 2015.

How to submit answers: Send a private message to me (nosaj) with your answers. Separate each of your answers with a &. To leave a question blank, submit 0 as the answer. For example, if you thought that the answers to the Sprint Round were all 42 and the answers to Target 2-7 were all 1337, but you left Target 1 blank, you would submit this.

See the third page of the PDF for answer formatting directions. Do not use LaTeX!

The submission period is over now. See this post for the answers and results. Thanks to everyone who participated!

Attachments:

This post has been edited 7 times. Last edited by nosaj, Jun 4, 2015, 4:08 AM

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Wave-Particle

3690 posts

Wave-Particle

#2 h Apr 25, 2015, 8:37 PM • 2 Y

Y by Adventure10, Mango247

1.anandiyer12

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mxgo

208 posts

mxgo

#3 h Apr 25, 2015, 8:37 PM • 1 Y

Y by Adventure10

Sounds like the test will be of high quality.

Signups

1. anandiyer12
2. mxgo
3.
4.
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hotstuffFTW

3233 posts

hotstuffFTW

#4 h Apr 25, 2015, 8:38 PM • 1 Y

Y by Adventure10

Sounds like the test will be of high quality.

Signups

1. anandiyer12
2. mxgo
3. mathwizard888
4.
5.
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This post has been edited 1 time. Last edited by hotstuffFTW, Apr 25, 2015, 8:39 PM

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8867 posts

Mudkipswims42

#5 h Apr 25, 2015, 8:39 PM • 1 Y

Y by Adventure10

1. anandiyer12
2. mxgo
3.mathwizard888
4.ariedel
5.
6.
7.
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Sounds fun (will probably fail epicly...

)

This post has been edited 1 time. Last edited by Mudkipswims42, Apr 25, 2015, 8:39 PM

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Readingrocks88

213 posts

Readingrocks88

#6 h Apr 25, 2015, 8:39 PM • 1 Y

Y by Adventure10

i will sign up

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8867 posts

Mudkipswims42

#7 h Apr 25, 2015, 8:42 PM • 2 Y

Y by Adventure10, Mango247

Repost the signup list please

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wu2481632

4233 posts

wu2481632

#8 h Apr 25, 2015, 9:21 PM • 2 Y

Y by Adventure10, Mango247

ariedel wrote:

1. anandiyer12
2. mxgo
3.mathwizard888
4.ariedel
5.wu2481632
6.
7.
8.
9.
10.

Sounds fun (will probably fail epicly...

)

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2008 posts

nosaj

#9 h Apr 25, 2015, 9:56 PM • 2 Y

Y by Adventure10, Mango247

anandiyer12
mxgo
mathwizard888
ariedel
Readingrocks88
wu2481632

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chemistrygirl

154 posts

chemistrygirl

#10 h Apr 25, 2015, 10:05 PM • 2 Y

Y by Adventure10, Mango247

anandiyer12
mxgo
mathwizard888
ariedel
Readingrocks88
wu2481632
chemistrygirl

/signup

This post has been edited 1 time. Last edited by chemistrygirl, Apr 25, 2015, 10:05 PM

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champion999

1530 posts

champion999

#11 h Apr 25, 2015, 10:07 PM • 2 Y

Y by Adventure10, Mango247

The test is extremely easy, you should be able to get a perfect score

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mathguy623

1855 posts

mathguy623

#12 h Apr 25, 2015, 10:09 PM • 2 Y

Y by Adventure10, Mango247

anandiyer12
mxgo
mathwizard888
ariedel
Readingrocks88
wu2481632
chemistrygirl
mathguy623

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Dominater76

995 posts

Dominater76

#13 h Apr 25, 2015, 10:16 PM • 2 Y

Y by Adventure10, Mango247

Lol definetley @champion

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droid347

2679 posts

droid347

#14 h Apr 25, 2015, 10:21 PM • 2 Y

Y by Adventure10, Mango247

Sounds like the test will be of high quality.

Signups

anandiyer12
mxgo
mathwizard888
ariedel
Readingrocks88
wu2481632
chemistrygirl
mathguy623
droid347

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8867 posts

Mudkipswims42

#15 h Apr 25, 2015, 10:22 PM • 2 Y

Y by Adventure10, Mango247

One more! (maybe)?

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hesa57

957 posts

hesa57

#258 h May 29, 2015, 8:18 PM • 1 Y

Y by Adventure10

Request to access to the problem/solutions forum should be done by PMing either DeathLlama9 or nosaj. They are the administrators of the private forum.

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1755 posts

DeathLlama9

#260 h May 30, 2015, 12:05 AM • 2 Y

Y by mathisawesome2169, Adventure10

What? The deadline is 5-31

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PeterF

64 posts

PeterF

#261 h Jun 1, 2015, 7:00 PM • 1 Y

Y by Adventure10

Where can we find answer or solution? Thanks!

This post has been edited 2 times. Last edited by jellymoop, Jun 4, 2015, 12:09 AM

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1755 posts

DeathLlama9

#262 h Jun 4, 2015, 12:46 AM • 2 Y

Y by Adventure10, Mango247

eyyyyyy unlocked. Thanks jelly!

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Mock MATHCOUNTS Submissions.xlsx (16kb)

2008 posts

nosaj

#263 h Jun 4, 2015, 4:05 AM • 2 Y

Y by Adventure10, Mango247

Thanks to everyone who participated! We had a total of 20 participants!

Answer Key

Sprint Round
$\begin{tabular}{c|c} Problem & Answer \\ \hline 1 & 420 \\ 2 & $3+2\sqrt{2}$ \\ 3 & 14 \\ 4 & 99/101 \\ 5 & 525 \\ 6 & 13 \\ 7 & 102/203 \\ 8 & 2:56 \\ 9 & 1 \\ 10 & $\frac{1+\sqrt 2}{2}$ \\ 11 & 1337 \\ 12 & 13 \\ 13 & 7/2 \\ 14 & 54 \\ 15 & 72 \\ 16 & $9\pi$ \\ 17 & 13 \\ 18 & 1/2016 \\ 19 & 81 \\ 20 & 1975 \\ 21 & 1248 \\ 22 & 4083 \\ 23 & 6/5 \\ 24 & 1978 \\ 25 & 67 \\ 26 & 56 \\ 27 & 10 \\ 28 & 63/128 \\ 29 & 15625 \\ 30 & 140 \\ \end{tabular}$
Target Round $\begin{tabular}{c|c} Problem & Answer \\ \hline 1 & 9.3 \\ 2 & 64 \\ 3 & 112 \\ 4 & 24.04 \\ 5 & 45 \\ 6 & 821 \\ 7 & 98 \\ 8 & 3840/143 \\ \end{tabular}$

The top 5 scorers were:

Drumroll....

1) mathguy623
2) awesomeclaw
3) Readingrocks88
4) atmchallenge
5) wu2481632

For full results, see the attached spreadsheet. I am creating a PDF with solutions which will hopefully be released within the next week. Also, feel free to discuss the contest in this thread. Thank you!

Attachments:

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mathguy623

1855 posts

mathguy623

#264 h Jun 4, 2015, 12:05 PM • 2 Y

Y by Adventure10, Mango247

Yay

for once I win on tiebreakers.

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Sprint Round Item Difficulty

1755 posts

DeathLlama9

#265 h Jun 4, 2015, 9:10 PM • 2 Y

Y by Adventure10, Mango247

S1: 19/20 = 95%
S2: 15/20 = 75%
S3: 16/20 = 80%
S4: 19/20 = 95%
S5: 15/20 = 75%
S6: 19/20 = 95%
S7: 11/20 = 55%
S8: 17/20 = 85%
S9: 12/20 = 60%
S10: 8/20 = 40%
S11: 18/20 = 90%
S12: 13/20 = 65%
S13: 14/20 = 70%
S14: 6/20 = 30%
S15: 10/20 = 50%
S16: 12/20 = 60%
S17: 9/20 = 45%
S18: 15/20 = 75%
S19: 13/20 = 65%
S20: 11/20 = 55%
S21: 10/20 = 50%
S22: 14/20 = 70%
S23: 8/20 = 40%
S24: 9/20 = 45%
S25: 5/20 = 20%
S26: 7/20 = 35%
S27: 8/20 = 40%
S28: 1/20 = 5%
S29: 1/20 = 5%
S30: 3/20 = 15%

Target Round Item Difficulty

T1: 12/20 = 60%
T2: 1/20 = 5%
T3: 3/20 = 15%
T4: 0/20 = 0%
T5: 8/20 = 40%
T6: 6/20 = 30%
T7: 1/20 = 5%
T8: 3/20 = 15%

Sprint Stats

MAXIMUM: 27
TOP 25%: 23
TOP 50%: 18
TOP 75%: 13
---
MEAN: 16.8
MEDIAN: 18
MODE: 23

Target Stats

MAXIMUM: 5
TOP 25%: 3
TOP 50%: 1
TOP 75%: 0
---
MEAN: 1.5
MEDIAN: 1
MODE: 0

Overall Stats

MAXIMUM: 33
TOP 25%: 28
TOP 50%: 21
TOP 75%: 14
---
MEAN: 19.8
MEDIAN: 19.5
MODES: 14, 18, 27, 33

This post has been edited 1 time. Last edited by DeathLlama9, Jun 5, 2015, 3:49 PM

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therealproblemsolver

118 posts

therealproblemsolver

#266 h Jun 4, 2015, 11:08 PM • 2 Y

Y by Adventure10, Mango247

you made a typo on number 29 on the sprint round

DeathLlama9 wrote:

Sprint Round Item Difficulty

Target Round Item Difficulty

T1: 12/20 = 60%
T2: 1/20 = 5%
T3: 3/20 = 15%
T4: 0/20 = 0%
T5: 8/20 = 40%
T6: 6/20 = 30%
T7: 1/20 = 5%
T8: 3/20 = 15%

Sprint Stats

MAXIMUM: 27
TOP 25%: 23
TOP 50%: 18
TOP 75%: 13
---
MEAN: 16.8
MEDIAN: 18
MODE: 23

Target Stats

MAXIMUM: 5
TOP 25%: 3
TOP 50%: 1
TOP 75%: 0
---
MEAN: 1.5
MEDIAN: 1
MODE: 0

Overall Stats

MAXIMUM: 33
TOP 25%: 28
TOP 50%: 21
TOP 75%: 14
---
MEAN: 19.8
MEDIAN: 19.5
MODES: 14, 18, 27, 33

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bluephoenix

241 posts

bluephoenix

#267 h Jun 5, 2015, 12:36 AM • 2 Y

Y by Adventure10, Mango247

Darn it. 6th place. Why am i always 1 away from top 5?

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bluephoenix

241 posts

bluephoenix

#268 h Jun 5, 2015, 12:37 AM • 2 Y

Y by Adventure10, Mango247

So many sillies...

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wu2481632

4233 posts

wu2481632

#269 h Jun 5, 2015, 1:02 AM • 1 Y

Y by Adventure10

ugh sillies killed me here just like at nats. could have had 24 sprint

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dictator2002

146 posts

dictator2002

#270 h Jun 5, 2015, 3:18 AM • 2 Y

Y by Adventure10, Mango247

Why T6's answer is 821 rather than 820. If z=1, one triple is got. If z=2, 19 triples are got. If z is more than 2, 800 triples are got.

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bluephoenix

241 posts

bluephoenix

#271 h Jun 5, 2015, 1:21 PM • 2 Y

Y by Adventure10, Mango247

z can be 0 too i think.

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8867 posts

Mudkipswims42

#272 h Jun 5, 2015, 1:44 PM • 2 Y

Y by Adventure10, Mango247

Now I am aware of how dumb I am......

I failed so badly it is not even funny

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