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Acmlm's Board - I2 Archive - Brain Teasers - Strange Math Riddles | | | |
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JJ64 Boo Level: 45 Posts: 686/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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That's my mistake... coming back from vacation. Anyway, Grey got it first, so I guess I have to give the point to him... Scores 1st. Grey-13 points 2nd. Kirby all the way-7 points 3rd. NSNick-6 points 3rd. Heian-794-6 points 4th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 7th. Teddylot-0 points Question 42 (1 point)- What are the next 7 numbers in the series? 1, 9, 25, 49, #, #, #, #, #, #, # |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86 Posts: 1328/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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81, 121, 169, 225, 289, 361, 441. Each odd number squared |
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JJ64 Boo Level: 45 Posts: 691/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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Kirby ATW gets the point... Scores 1st. Grey-13 points 2nd. Kirby all the way-8 points 3rd. NSNick-6 points 3rd. Heian-794-6 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 7th. Teddylot-0 points Question 43 (1 point)- Find the surface area and volume of a sphere with radius 50. |
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Heian-794 Red Super Koopa Level: 44 Posts: 254/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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Rounding answers to the nearest integers here. Surface area = 4 pi r^2 = 10000pi or about 31416 square units Volume = 4/3 pi r^3 = 4/3pi*125000 = 166667pi or about 523600 cubic units |
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JJ64 Boo Level: 45 Posts: 705/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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Heian-794 gets the point... I just realized how inaccurate the scoreboard was... Scores 1st. Grey-13 points 2nd. Kirby all the way-8 points 3rd. Heian-794-7 points 4th. NSNick-6 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 10th. Teddylot-0 points Question 44 (1 point)- What are the measures of the interior angles (not the sum) in a regular 245-gon? |
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Heian-794 Red Super Koopa Level: 44 Posts: 260/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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178.53 degrees. 180(n-2)/n where n is the number of sides. Edited to add: I found a number that beats even the e^e^e^79 (10^10^10^34) that Skewes fans boast about. It's the Graham number, and was what I was thinking of when I was babbling about arrow notation: http://mathworld.wolfram.com/GrahamsNumber.html (edited by Heian-794 on 07-14-04 01:51 PM) |
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JJ64 Boo Level: 45 Posts: 712/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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Yet another point for Heian-794... Scores 1st. Grey-13 points 2nd. Kirby all the way-8 points 2nd. Heian-794-8 points 4th. NSNick-6 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 10th. Teddylot-0 points Question 45 (1 point)- How many decimeters are in a mile? |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 184/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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One mile is 5280 feet. That's 63360 Inches. That's 160934.4 centimeters. And that is 16093.44 decimeters. |
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JJ64 Boo Level: 45 Posts: 728/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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Grey gets the point... Scores 1st. Grey-14 points 2nd. Kirby all the way-8 points 2nd. Heian-794-8 points 4th. NSNick-6 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 10th. Teddylot-0 points Question 46 (1 point)- Solve the equation: x |
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Heian-794 Red Super Koopa Level: 44 Posts: 265/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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The two solutions are (-20 + sqrt(190)) and (-20 - sqrt(190)), or in decimal: -6.216 and -33.784 |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86 Posts: 1366/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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Im going with -4.46 and -44.46 | |||
NSNick Laidback Admin Level: 85 Posts: 661/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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x= -20+sqrt(2400); -20-sqrt(2400) = 28.98979; -68.98979 |
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Heian-794 Red Super Koopa Level: 44 Posts: 266/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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I just noticed that I read the problem wrong and forgot to include the 10 on the left side, factoring the wrong equation! So my answer is going to be: x^2 + 40x - 200 = 0 x = -40 +/- sqrt(1600 +800) / 2 = -40 +/- sqrt(2400) / 2 = -20 +/- 10sqrt(6) 4.495 and -44.494 Those are close to Kriby's answers but I think mine are correct. Edit: Nick, I think you have to pull a 2 out of the "sqrt(2400)" term before you can reduce the 40 in the numerator and the 2 in the denominator. BTW, does this symbol show up correctly for you guys? sqrt(2400): √2400 (edited by Heian-794 on 07-15-04 11:29 PM) |
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NSNick Laidback Admin Level: 85 Posts: 663/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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Oh yeah.... Oops. And the symbol shows, but it's kind of odd, since there's nothing above the numbers. |
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Heian-794 Red Super Koopa Level: 44 Posts: 269/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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Nick, that's good to hear; I didn't think the root sign would display since I entered it using Japanese encoding. It still displays for me when I switch the encoding to western, so I guess I'll use it in the future if everybody can see it. | |||
JJ64 Boo Level: 45 Posts: 734/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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Heian-794 is the closest, so he gets the point. Scores 1st. Grey-14 points 2nd. Heian-794-9 points 3rd. Kirby all the way-8 points 4th. NSNick-6 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 10th. Teddylot-0 points Here comes a tough one... Question 47 (1 point)- Solve the following equation: |x |
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Heian-794 Red Super Koopa Level: 44 Posts: 277/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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Pounding on your door, Grey! |x |
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JJ64 Boo Level: 45 Posts: 736/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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A nice point for Heian-794... Scores 1st. Grey-14 points 2nd. Heian-794-10 points 3rd. Kirby all the way-8 points 4th. NSNick-6 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 10th. Teddylot-0 points Question 48 (1 point)- Find the next 2 numbers in the series: 1, 64, 27, 216, 125, 512, #, # |
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NSNick Laidback Admin Level: 85 Posts: 672/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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343, 1000 | |||
JJ64 Boo Level: 45 Posts: 757/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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NSNick gets the point... Scores 1st. Grey-14 points 2nd. Heian-794-10 points 3rd. Kirby all the way-8 points 4th. NSNick-7 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 10th. Teddylot-0 points Question 49 (1 point)- Find 8 points on this line: y=x |
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