here is a list of my first 25 daily math problems; follow me at twitter.com/dansmath.
remember there’s a 140-char lim on tweets so some r “dense” stmts. thanks to barry fulk @fulkb for pulling these from my twitter feed.
there are also answers if you scrub my twitter feed; please leave a comment if you want me to post them here.
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@dansmath daily twitter problems Nov/Dec 2008:
- – -
One dansmath point for each correct answer. First to a million wins!
- – -
Problem 1:
2x^2 + 5xy – 12y^2 = ( ? )( ? )
- – -
Problem 2:
Write 391 as the difference of squares, then factor it as such.
- – -
Problem 3:
What’s the equation of the parabola (vertical axis) thru the pts (0,3), (1,4), (3,0)?
- – -
Problem 4:
What number, 200 or less, has the most divisors? How many does it have?
- – -
Problem 5:
Among the numbers “one” to “one hundred” which is alphabetically LAST when spelled out?
- – -
Problem 6:
A ball is thrown upwards at 80 ft/sec from a 96-ft-tall tower. how long will it take to hit the ground?
- – -
Problem 7:
If I have twice as many tweets as followers, I follow three people for each 16 tweets, and the sum of my followers, followees, and tweets is 26^2 – 1^2, how many people am I following?
- – -
Problem 8:
What is the integral of 3(ice)^2 d(ice) ? Simplify your answer.
- – -
Problem 9:
What’s the most, and fewest, friday-the-13ths there can be in one calendar year?
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Problem 10:
How many different ways can you arrange the letters of “dansmathcast”?
- – -
Problem 11:
Kevin Rose can drink a gallon of tea in 6 hrs & Don McAllister can drink a gallon in 4 hrs, how long drinkng together? … that is, how long will it take them, drinking together, to finish one gallon o’ tea?
- – -
Problem 12:
There are 68 bugs in my kitchen, all ants and spiders, with a total of 506 legs. how many of each bug?
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Problem 13:
How many 1″ circular disks can you fit in an 8×8 square?
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Problem 14:
A truck goes from A to B at 40 mph and returns along the same road at 60 mph. What’s its average speed for the round trip?
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Problem 15:
My new 500GB hard drive loses 5% of its capacity each day due to rust. how many bytes will be left a year from today?
- – -
Problem 16:
What is the next number in this sequence, and why? 2, 4, 6, 12, 24, 36, . . . hints at http://www.dansmath.com
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Problem 17:
What’s the first multiple of 17 after 17 to end in the digits 17?
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Problem 18:
If I had 6 more eggs I’d have twice as many eggs as I’d have if I had 3 dozen fewer eggs than I have. How many eggs do I have?
- – -
Problem 19:
What one yes/no question can you ask to determine whether someone is a faithful truth-teller or a perennial liar?
- – -
Problem 20:
Name the first perfect square Fibonacci number after 1. Bonus point for the one after that.
- – -
Problem 21:
I bought three items at the 7-11: what three prices have a product of 5.70 and a sum of 5.70?
- – -
Problem 22:
On the 12 days of xmas, what was the total number of presents my true love gave to me?
- – -
Problem 23:
Pecans, almonds, cashews have 13, 7, 9 calories & weigh 1.7, 1.4, 1.5 gms each. i have 51 nuts, 469 cal, 77 gms. how many of each nut do I have?
- – -
Problem 24:
I ran 6 miles round trip (downhill then back up) in 1 hr. down i’m 1 mph faster’n level, up 1 slwr’n. what’s my 6-mi time on level?
- – -
Problem 25:
A snail climbs 1 meter up a wall, slides back 1/2, climbs 1/3, slides 1/4, etc. where does it end up?
* * * * * * * * * * * * * *
If you like these please leave a comment and/or suggest a new problem!
This entry was posted on Friday, December 26th, 2008 at 10:19 am and is filed under general comments, twitter. You can follow any responses to this entry through the RSS 2.0 feed.
You can leave a response, or trackback from your own site.
twitter problem archive 1-25
icosahedron with 'sierpinski gasket' faces
here is a list of my first 25 daily math problems; follow me at twitter.com/dansmath.
remember there’s a 140-char lim on tweets so some r “dense” stmts. thanks to barry fulk @fulkb for pulling these from my twitter feed.
there are also answers if you scrub my twitter feed; please leave a comment if you want me to post them here.
- – - – - -
@dansmath daily twitter problems Nov/Dec 2008:
- – -
One dansmath point for each correct answer. First to a million wins!
- – -
Problem 1:
2x^2 + 5xy – 12y^2 = ( ? )( ? )
- – -
Problem 2:
Write 391 as the difference of squares, then factor it as such.
- – -
Problem 3:
What’s the equation of the parabola (vertical axis) thru the pts (0,3), (1,4), (3,0)?
- – -
Problem 4:
What number, 200 or less, has the most divisors? How many does it have?
- – -
Problem 5:
Among the numbers “one” to “one hundred” which is alphabetically LAST when spelled out?
- – -
Problem 6:
A ball is thrown upwards at 80 ft/sec from a 96-ft-tall tower. how long will it take to hit the ground?
- – -
Problem 7:
If I have twice as many tweets as followers, I follow three people for each 16 tweets, and the sum of my followers, followees, and tweets is 26^2 – 1^2, how many people am I following?
- – -
Problem 8:
What is the integral of 3(ice)^2 d(ice) ? Simplify your answer.
- – -
Problem 9:
What’s the most, and fewest, friday-the-13ths there can be in one calendar year?
- – -
Problem 10:
How many different ways can you arrange the letters of “dansmathcast”?
- – -
Problem 11:
Kevin Rose can drink a gallon of tea in 6 hrs & Don McAllister can drink a gallon in 4 hrs, how long drinkng together? … that is, how long will it take them, drinking together, to finish one gallon o’ tea?
- – -
Problem 12:
There are 68 bugs in my kitchen, all ants and spiders, with a total of 506 legs. how many of each bug?
- – -
Problem 13:
How many 1″ circular disks can you fit in an 8×8 square?
- – -
Problem 14:
A truck goes from A to B at 40 mph and returns along the same road at 60 mph. What’s its average speed for the round trip?
- – -
Problem 15:
My new 500GB hard drive loses 5% of its capacity each day due to rust. how many bytes will be left a year from today?
- – -
Problem 16:
What is the next number in this sequence, and why? 2, 4, 6, 12, 24, 36, . . . hints at http://www.dansmath.com
- – -
Problem 17:
What’s the first multiple of 17 after 17 to end in the digits 17?
- – -
Problem 18:
If I had 6 more eggs I’d have twice as many eggs as I’d have if I had 3 dozen fewer eggs than I have. How many eggs do I have?
- – -
Problem 19:
What one yes/no question can you ask to determine whether someone is a faithful truth-teller or a perennial liar?
- – -
Problem 20:
Name the first perfect square Fibonacci number after 1. Bonus point for the one after that.
- – -
Problem 21:
I bought three items at the 7-11: what three prices have a product of 5.70 and a sum of 5.70?
- – -
Problem 22:
On the 12 days of xmas, what was the total number of presents my true love gave to me?
- – -
Problem 23:
Pecans, almonds, cashews have 13, 7, 9 calories & weigh 1.7, 1.4, 1.5 gms each. i have 51 nuts, 469 cal, 77 gms. how many of each nut do I have?
- – -
Problem 24:
I ran 6 miles round trip (downhill then back up) in 1 hr. down i’m 1 mph faster’n level, up 1 slwr’n. what’s my 6-mi time on level?
- – -
Problem 25:
A snail climbs 1 meter up a wall, slides back 1/2, climbs 1/3, slides 1/4, etc. where does it end up?
* * * * * * * * * * * * * *
If you like these please leave a comment and/or suggest a new problem!
And try my ongoing ProblemOfTheWeek on my website www.dansmath.com
This entry was posted on Friday, December 26th, 2008 at 10:19 am and is filed under general comments, twitter. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.