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Monday, January 26

  1. page More Maths Jokes... edited Three Navaho women sit side by side on the ground. The first woman, who is sitting on a goatskin…

    Three Navaho women sit side by side on the ground. The first woman, who is sitting on a goatskin, has a son who weighs 140 pounds. The second woman, who is sitting on a deerskin, has a son who weighs 160 pounds. The third woman, who weighs 300 pounds, is sitting on a hippopotamus skin. What famous geometric theorem does this symbolize?
    The squaw on the hippopotamus is equal to the sons of the squaws on the other two hides.
    An evil psychiatrist kidnaps an engineer, a chemist, and a mathematician to see how their minds work. He locks them in separate cells with a year supply of canned beans and leaves. When he comes back in a year to check on his prisoners, he finds:
    The chemist had collected rainwater to corrode the cans of beans so he could eat them.
    The engineer had taken apart his bed and made a crude can opener out of the parts.
    The mathematician was slouched on the floor, long since dead. Written in blood beside the corpse read the following:
    Theorem: If I don't eat the beans I will die.
    Proof: Assume the opposite and seek a contradiction.
    Two mathematicians went out to lunch. Over lunch, one complained that most people don't understand even basic maths. The other took a more optimistic view. A short time later, while the pessimist was in the bathroom, the other called the waitress over. "I am going to call you over in a few minutes," he explained, "and I am going to ask you a question. I want you to answer X3/3. OK?"....When the pessimist came back, he called the waitress over. "Look, I'll prove people understand math better than you think. OK, young lady, what is the integral of X2?"... "X3/3" she slowly repeated and walked away. Then she turned around and said, "Plus a constant."
    A physicist had a horseshoe hanging on the door of his laboratory. His colleagues were surprised and asked whether he believed that it would bring luck to his experiments. He answered: "No, I don't believe in superstitions. But I have been told that it works even if you don't believe in it."
    From A Random Walk In Science by R L Weber. It says this was one of Bohr's favorite stories.
    An absent minded professor (alright, it was Norbert Weiner) was moving. His wife, knowing Norbert would forget his address, took out a sheet of paper and wrote it down for him. Later that day, Norbert had a flash of insight, and fumbling for a piece of paper, wrote down his new theorem on the paper his wife gave him. On further reflection, Norbert found a fallacy in this thinking and threw out the paper in disgust. When he came home that night, to the now empty house he moved from, he remembered he had moved, but had no idea where he had moved to. Just then he spied a little girl on the street. "Little girl," he asked, "my name is Norbert Weiner, do you know where I live now?" "Yes daddy, mommy thought you would forget."
    Two Jews on a train in Russia. One asks the other, "Where are you going?" and the second one replies, "To Kiev." Whereupon the first says, "You liar, you tell me you are going to Kiev so I would think you are going to Odessa. But I know you are going to Kiev, so why do you lie?"
    From Adventures of a Mathematician, Stan Ulam's autobiography (Pg. 143)
    An airplane was flying to Poland. As it overflew a famous lake the captain come on the intercom, "If you look out to your right, you will see beautiful Lake Lek." Just then everyone went over to look at the lake and the plane crashed. Why?
    Too many poles on the right side of the plane. Actually, in the version I heard, Lek Velenswa (you know who I mean?) was involved, but I just can't figure out how to spell it...
    My friend Brad recently gots his Master's Degree in physics from the MIT. Unfortunately, he's having some trouble finding a job (it's tough to get a physics job these days). He's already spent two months looking for a job. He's running low on rent money so he decided to work in the Central Square McDonald's on weekends and look for a job during the week.
    After Brad handed in an employment application, the manager told that he wasn't qualified. "Not qualified!?! I've got a Master's degree in Physics from MIT!" he said. The McDonald's manager replied, "I'm sorry, but all of our physicists have PhDs."
    A physicist, an engineer and a mathematician are staying in a hotel when the engineer's bed catches fire. He goes outside, gets a fire extinguisher and puts it out. Then he goes back to sleep.
    After a while the physicist's bed too catches fire. He goes outside, gets a fire extinguisher and puts it out. Then he too goes back to sleep.
    The mathematician's bed then catches fire. He goes outside and sees the fire extinguisher. He thinks 'Ah, a solution exists' then goes back to bed.
    Created By Azeem Hanjra and Cameron Azam and Yogeshwar Gohil

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    11:43 am
  2. page Einstein's Riddle edited This isn't really a maths question but quite a fun one. ALBERT EINSTEIN'S RIDDLE There are no tr…
    This isn't really a maths question but quite a fun one.
    ALBERT EINSTEIN'S RIDDLE
    There are no tricks, just pure logic, so good luck and don't give up.
    1. In a street there are five houses, painted five different colours.
    2. In each house lives a person of different nationality
    3. These five homeowners each drink a different kind of beverage, smoke different brand of cigar and keep a different pet.
    THE QUESTION: WHO OWNS THE FISH?
    HINTS
    1. The Brit lives in a red house.
    2. The Swede keeps dogs as pets.
    3. The Dane drinks tea.
    4. The Green house is next to, and on the left of the White house.
    5. The owner of the Green house drinks coffee.
    6. The person who smokes Pall Mall rears birds.
    7. The owner of the Yellow house smokes Dunhill.
    8. The man living in the centre house drinks milk.
    9. The Norwegian lives in the first house.
    10. The man who smokes Blends lives next to the one who keeps cats.
    11. The man who keeps horses lives next to the man who smokes Dunhill.
    12. The man who smokes Blue Master drinks beer.
    13. The German smokes Prince.
    14. The Norwegian lives next to the blue house.
    15. The man who smokes Blends has a neighbour who drinks water.
    ALBERT EINSTEIN WROTE THIS RIDDLE EARLY DURING THE 19th CENTURY. HE SAID THAT 98% OF THE WORLD POPULATION WOULD NOT BE ABLE TO SOLVE IT.
    As far as I know Mr. Pitt hasn't worked this out yet.
    Ed Walden 8J
    Scroll down for the answer.
    Answer delivered to you by Yogeshwar Gohil, I have checked it, and it is correct, and in the only way possible.
    {http://www.manbottle.com/pictures/einstein_grid.gif}
    THE GERMAN PERSON OWNS THE LITTE FISHY-WISHY ;)
    Method:
    This is the manner in which I was able to solve this riddle. It took me a while, but I am certain this is the only correct answer.
    I drew a chart like this:
    House 1
    House 2
    House 3
    House 4
    House 5
    Color
    Person
    Drink
    Smoke
    Pet
    And I also made a place for associations, those facts that are linked together but cannot yet go into the chart.
    SO, the first time through the clues I came up with.
    House 1
    House 2
    House 3
    House 4
    House 5
    Color
    Blue
    Person
    Norwegian
    Drink
    Milk
    Smoke
    Pet
    Along with the following direct associations:
    And with the following adjacent associations:
    Brit - Red House
    Swede - Dogs
    Dane - Tea
    Green House - Coffee
    Pall Mall - Birds
    Yellow House - Dunhill
    Bluemasters - Beer
    German - Prince
    Green House on the left of White House
    Blends next to Cats
    Horse next to Dunhill
    Blends next to Water
    So analyzing these facts we can see more associations:
    1. House 3 CANNOT be Green since the owner drinks Milk, not Coffee.
    2. Thus House 4 MUST be Green since it requires a house to the right. One which is White.
    3. House 1 CANNOT be Red since the Norwegian lives there.
    These facts limit the house color order to ONE possible solution.
    Combined with the direct associations we have...
    House 1
    House 2
    House 3
    House 4
    House 5
    Color
    Yellow
    Blue
    Red
    Green
    White
    Person
    Norwegian
    Brit
    Drink
    Milk
    Coffee
    Smoke
    Dunhill
    Pet
    Along with the following direct associations:
    And with the following adjacent associations:
    Swede - Dogs
    Dane - Tea
    German - Prince
    Pall Mall - Birds
    Bluemasters - Beer
    Blends next to Cats
    Horse next to Dunhill
    Blends next to Water
    Now, looking for more limitations/associations we find that:
    1. The Horse must be at House 2 since House 1 smokes Dunhill.
    2. House 1 cannot have Birds, Dogs or Pall Mall.
    3. House 3 cannot have Dogs, Bluemasters or Prince.
    4. Either House 2 or 5 have the Bluemasters - Beer.
    5. Since the horse is at House 2, then it must also have the Dane (the Swede has Dogs after all).
    Our chart now looks like this, including the conditions "Dane - Tea" and "Swede - Dogs".
    House 1
    House 2
    House 3
    House 4
    House 5
    Color
    Yellow
    Blue
    Red
    Green
    White
    Person
    Norwegian
    Dane
    Brit
    German
    Swede
    Drink
    Tea
    Milk
    Coffee
    Beer
    Smoke
    Dunhill
    Prince
    Bluemasters
    Pet
    Horse
    Dogs
    Remaining limitations/conditions:
    1. Pall Mall - Birds
    2. Blends next to Cats
    3. Blends next to Water.
    1. House 3 MUST have "Pall Mall - Birds" (only house left without a smoke or pet defined).2. "Blends next to Cats" can now only fit with Blends at House 2 and Cats at House 1.3. The German is now the only one without a pet, therefore owns the fish.
    4. Incidentally leaving the Water for the Norwegian.
    House 1
    House 2
    House 3
    House 4
    House 5
    Color
    Yellow
    Blue
    Red
    Green
    White
    Person
    Norwegian
    Dane
    Brit
    GERMAN
    Sweed
    Drink
    Water
    Tea
    Milk
    Coffee
    Beer
    Smoke
    Dunhill
    Blends
    Pall Mall
    Prince
    Bluemasters
    Pet
    Cats
    Horse
    Birds
    FISH
    Dogs
    If you followed this analysis closely, you will see that this IS the only possible solution.
    Thanks to Yogeshwar. :P
    Have a beer!

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    11:43 am
  3. page Past senior mathematical challange questions edited 1. What is the smallest possible value of 20p+10q+r when p,q and r are different positive integer…
    1. What is the smallest possible value of 20p+10q+r when p,q and r are different
    positive integers?
    A.31 B.43 C.53 D.63 E.2010
    2. The year 2010 is one in which the sum of its digits is a factor of the year itself.
    How many more years will it be before this is next the case?
    A.3 B.6 C.9 D.12 E.15
    3. A notice on Morecambe promenade reads: ‘It would take 20 million years to fill
    Morecambe Bay from a bath tap.’ Assuming that the flow from the bath tap is
    6 litres a minute, what does the notice imply is the approximate capacity of
    Morecambe Bay in litres?
    A.6 × 10¹⁰ B.6 × 10¹¹ C.6 × 10¹² D.6 × 10¹³ E.6 × 10¹⁴
    4. Dean runs up a mountain road at 8 km per hour. It takes him one hour to get to the
    top. He runs down the same road at 12 km per hour. How many minutes does it
    take him to run down the mountain?
    A.30 B.40 C.45 D.50 E.90
    5. There are 120 different arrangements of the five letters in the word ANGLE. If all
    120 are listed in alphabetical order starting with AEGLN and finishing with
    NLGEA, which position in the list does ANGLE occupy?
    A.18th B.20th C.22nd D.24th E.26th
    6. Which of the following is equivalent to (x + y + z)(x - y - z)?
    A.x² - y² - z²
    B.x² - y² + z²
    C.x² - xy - xz - z²
    D.x² - (y + z)²
    E.x² - (y - z)²
    7. A square is cut into 37 squares of which 36 have area 1cm². What is the length of
    the side of the original square?
    A.6cm B.7cm C.8cm D.9cm E.10cm
    8. The symbol ø is defined by x ø y = xy - yx. What is the value of (2 ø 3) ø 4?
    A.-3 B.-¾ C.0 D.¾ E.3
    9. How many two-digit numbers have remainder 1 when divided by 3 and remainder
    2 when divided by 4?
    A.8 B.7 C.6 D.5 E.4
    10. What is the smallest prime number that is equal to the sum of two prime numbers
    and is also equal to the sum of three different prime numbers?
    A.7 B.11 C.13 D.17 E.19
    11. There are 10 girls in a mixed class. If two pupils from the class are selected at
    random to represent the class on the School Council, then the probability that both
    are girls is 0.15. How many boys are in the class?
    A.10 B.12 C.15 D.18 E.20
    12. If x² - px - q = 0, where p and q are positive integers, which of the following
    could not equal x³?
    A. 4x + 3 B.8x + 5 C.8x + 7 D.10x + 3 E.26x + 5
    13. All the digits of a number are different, the first digit is not zero, and the sum of the
    digits is 36. There are N × 7! such numbers. What is the value of N?
    A.72 B.97 C.104 D.107 E.128
    Answers: 1B, 2B, 3D, 4B, 5C, 6D, 7E, 8D, 9A, 10E, 11C, 12B, 13D
    By yogeshwar gohil

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    11:43 am
  4. page Maths Questions edited What place in the world can have the same temperature in degrees celsius and Fahrenheit? One da…

    What place in the world can have the same temperature in degrees celsius and Fahrenheit?
    One day, a person went to a horse racing area, instead of counting humans and horses the stupid person counts 74 heads and 196 legs and he still knew the number of humans and horses. How was this possible?
    There are 5 ships in a port:
    1. The Greek ship leaves at six and carries coffee.
    2. The Ship in the middle has a black chimney.
    3. The English ship leaves at nine.
    4. The French ship with blue chimney is to the left of a ship that carries coffee.
    5. To the right of the ship carrying cocoa is a ship going to Marseille.
    6. The Brazilian ship is heading for Manila.
    7. Next to the ship carrying rice is a ship with a green chimney.
    8. A ship going to Genoa leaves at five.
    9. The Spanish ship leaves at seven and is to the right of the ship going to Marseille.
    10. The ship with a red chimney goes to Hamburg.
    11. Next to the ship leaving at seven is a ship with a white chimney.
    12. The ship on the border carries corn.
    13. The ship with a black chimney leaves at eight.
    14. The ship carrying corn is anchored next to the ship carrying rice.
    15. The ship to Hamburg leaves at six.
    Which ship goes to Port Said? Which ship carries tea?
    When asked about his birthday, a man said:
    "The day before yesterday I was only 25 and next year I will turn 28."
    This is true only one day in a year - when was he born?
    Using 8 exactly eight times make a 1000.
    You can use any mathematical symbols.
    A man is caught on the King's property. He is brought before the King to be punished.
    The King says, "You must give me a statement. If it is true, you will be eaten by the lions. If it is false, you will be trampled by the wild buffalo."
    But in the end, the King has to let the man go.
    What was the man's statement? (Just think about it! Hint: It ends up in a conundrum)
    The hour and minute hands are at equal distance from the 6 hour, what time will it be exactly?
    A man is stranded on an island covered in forest.
    One day, when the wind is blowing from the west, lightning strikes the west end of the island and sets fire to the forest. The fire is very violent, burning everything in its path, and without intervention the fire will burn the whole island, killing the man in the process.
    There are cliffs around the island, so he cannot jump off.
    How can the man survive the fire? (There are no buckets or any other means to put out the fire)
    A man builds a house with ALL four sides facing north, which desert is he in?
    A boy and a girl are talking.
    "I am a boy" - said the child with black hair.
    "I am a girl" - said the child with white hair.
    At least one of them lied. Who is the boy and who is the girl?
    You are about to leave for holiday, but you forgot socks! You race back to your room, but all the lights are off, so you can't see the color of the socks.
    Never mind, because you remember that in your drawer there are ten pairs of white socks, ten pairs of black socks, and eleven pairs of blue socks, but they are all mixed up.
    How many of your socks do you need to take before you can be sure to have at last one matching pair?
    Place 10 balls in 5 lines in such a way that each line has exactly 4 balls on it.
    Simplify (n-a)(n-b)(n-c).......(n-x)(n-y)(n-z)
    By Yogeshwar Gohil and Ed Walden. Feel free to add any more questions.
    scroll down for answers...
    Answers : 1. Antarctica, at 40 degrees Fahrenheit and -40 degrees celcius

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    11:43 am
  5. page Facts edited Did you know... You are wrong if you think maths is boring. π=3.141592653589793238462643383279…

    Did you know...
    You are wrong if you think maths is boring.
    π=3.14159265358979323846264338327950288419716939937510
    58209749445923078164062862089986280348253421170679
    82148086513282306647093844609550582231725359408128
    48111745028410270193852110555964462294895493038196
    44288109756659334461284756482337867831652712019091
    45648566923460348610454326648213393607260249141273
    72458700660631558817488152092096282925409171536436
    78925903600113305305488204665213841469519415116094
    33057270365759591953092186117381932611793105118548
    07446237996274956735188575272489122793818301194912
    98336733624406566430860213949463952247371907021798
    60943702770539217176293176752384674818467669405132
    00056812714526356082778577134275778960917363717872
    14684409012249534301465495853710507922796892589235
    42019956112129021960864034418159813629774771309960
    51870721134999999837297804995105973173281609631859
    50244594553469083026425223082533446850352619311881
    71010003137838752886587533208381420617177669147303
    59825349042875546873115956286388235378759375195778
    18577805321712268066130019278766111959092164201989
    3.14159265358979323846264338327950288419716939937510
    58209749445923078164062862089986280348253421170679
    82148086513282306647093844609550582231725359408128
    48111745028410270193852110555964462294895493038196
    44288109756659334461284756482337867831652712019091
    45648566923460348610454326648213393607260249141273
    72458700660631558817488152092096282925409171536436
    78925903600113305305488204665213841469519415116094
    33057270365759591953092186117381932611793105118548
    07446237996274956735188575272489122793818301194912
    98336733624406566430860213949463952247371907021798
    60943702770539217176293176752384674818467669405132
    00056812714526356082778577134275778960917363717872
    14684409012249534301465495853710507922796892589235
    42019956112129021960864034418159813629774771309960
    51870721134999999837297804995105973173281609631859
    50244594553469083026425223082533446850352619311881
    71010003137838752886587533208381420617177669147303
    59825349042875546873115956286388235378759375195778
    18577805321712268066130019278766111959092164201989
    3.14159265358979323846264338327950288419716939937510
    58209749445923078164062862089986280348253421170679
    82148086513282306647093844609550582231725359408128
    48111745028410270193852110555964462294895493038196
    44288109756659334461284756482337867831652712019091
    45648566923460348610454326648213393607260249141273
    72458700660631558817488152092096282925409171536436
    78925903600113305305488204665213841469519415116094
    33057270365759591953092186117381932611793105118548
    07446237996274956735188575272489122793818301194912
    98336733624406566430860213949463952247371907021798
    60943702770539217176293176752384674818467669405132
    00056812714526356082778577134275778960917363717872
    14684409012249534301465495853710507922796892589235
    42019956112129021960864034418159813629774771309960
    51870721134999999837297804995105973173281609631859
    50244594553469083026425223082533446850352619311881
    71010003137838752886587533208381420617177669147303
    59825349042875546873115956286388235378759375195778
    18577805321712268066130019278766111959092164201989
    3.14159265358979323846264338327950288419716939937510
    58209749445923078164062862089986280348253421170679
    82148086513282306647093844609550582231725359408128
    48111745028410270193852110555964462294895493038196
    44288109756659334461284756482337867831652712019091
    45648566923460348610454326648213393607260249141273
    72458700660631558817488152092096282925409171536436
    78925903600113305305488204665213841469519415116094
    33057270365759591953092186117381932611793105118548
    07446237996274956735188575272489122793818301194912
    98336733624406566430860213949463952247371907021798
    60943702770539217176293176752384674818467669405132
    00056812714526356082778577134275778960917363717872
    14684409012249534301465495853710507922796892589235
    42019956112129021960864034418159813629774771309960
    51870721134999999837297804995105973173281609631859
    50244594553469083026425223082533446850352619311881
    71010003137838752886587533208381420617177669147303
    59825349042875546873115956286388235378759375195778
    18577805321712268066130019278766111959092164201989
    A sphere has two sides. However they are actually one-sided surfaces.
    In a group of 23, there is a probability more than half that at least two people will have their birthday on the same day.
    Among all shapes with the same perimeter, the circle has the largest area.
    As with people, there are rational, irrational, perfect and complex numbers.
    As in art, there are imaginary and surreal numbers.
    The next sentence is true.
    The previous sentence was false.
    12+3-4+5+67+8+9=100 and there is at least one more representation of 100 with 9 consecutive numbers that has the 4 math operations in between.
    You can cut any circle into 8 pieces with 3 lines!
    A broken non-digital clock shows the right time twice a day.
    The only triangle with rational sides and angles is an equilateral triangle.
    The word 'fraction' hails from the Latin 'fractio' which means to break. However there are continuous fractions.
    At any given time there are two people with exactly the same number of hairs in New York.
    If you multiply 1089 by 9 you get 9801. It's reversed. This also works with 10989, 109989, 1099989...I think...
    1 is the only positive whole number that you can add to 1,000,000 and you get an answer that's bigger than if you multiply it by 1,000,000
    19 = 1 x 9 + 1 + 9 and 29 = 2 x 9 + 2 + 9. This also works for 39,49,59,69,79,89 and 99.
    153, 370, 371 and 407 are all the "sum of the cubes of their digits". In other words 153=13+53+33
    If you divide any square number by 8 you get a remainder of 0, 1 or 4
    2 is the only number that gives the same result added to itself as it does times by itself
    If you multiply 21978 by 4 it turns backwards
    There are 12,988,816 different ways to cover a chess board with 32 dominoes.
    Sixty nine squared = 692 = 4761 and sixty nine cubed = 693 = 328509. These two answers use all the digits from 0 to 9 between them.
    You can chop a big lump of cheese into a maximum of 93 bits with 8 straight cuts
    In the English language "forty" is the only number that has all its letters in alphabetical order.
    1 ÷ 37 = 0·027027027... and 1 ÷ 27 = 0·037037037...
    132 = 169 and if you write both numbers backwards you get 312 = 961.
    This also works with 12 because 122 = 144 and 212 =441.
    1/1089 = 0·00091827364554637281... (And the numbers in the 9 times table are 9,18,27,36...)
    8 is the only cube that is 1 less than a square.
    1274953680 has two odd things about it: it uses all the digits 0-9 AND you can divide it exactly by any number from 1-16.
    Did you know THESE FACTS WILL NEVER HELP YOU. ... EVER!
    0! = 1.
    By Yogeshwar Gohil and Ed Walden 8J and IT'S ME. Feel free to add facts.

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    11:43 am
  6. page HARD ALGEBRAIC QUESTIONS! edited THESE QUESTIONS DESERVE MERITS! 1>Expand the following: (i) (2x + y + 2z)2 (ii) (x – 2y + z…

    THESE QUESTIONS DESERVE MERITS!
    1>Expand the following:
    (i) (2x + y + 2z)2 (ii) (x – 2y + z)2 (iii) (2p – 3q – r)2 (iv) (2a + 3b − 2c)2
    2>Factorize: 6 x 5y^2 + 6 x 4y^3 + 9 x 2y^4 + 9 xy^5.
    3>Hard problem:
    Two pumps are used to fill a pool. First, pump A fills the pool in 12 hours and pump B fills the pool in 8 hours. There is a leak in the pool and the pool is empty in 24 hours. If both pumps are working together, how long does it take to re-fill the pool?
    4>Hard Problem :
    Simplify the algebra expression.
    3(x - y) + 4(x - y -2) + 6.
    SCROLL DOWN FOR ANSWERS. BUT TRY TO WORK IT OUR FIRST. THATS THE WAY TO DO IT.
    AND IF YOU CAN ANSWER THESE QUESTIONS, ASK MR PITT FOR A MERIT :D IF YOU CAN ANSWER QUESTION 1, YOU ARE PROBABLY SMARTER THAN SOMEONE WHO CANT.
    BY YOGESHWAR GOHIL AND Murshed Ahmed8J. CAN WE HAVE MERITS SIR???
    1.Solution:
    (i) (2x + y + 2z)2 = [(2x) + y + (2z)]2 = (2x)2 + y2 + (2z)2 + 2(2x)y + 2y(2z) + 2(2z)(2x)
    = 4x2 + y2 + 4z2 + 4xy + 4yz + 8zx.
    (ii) (x – 2y + z)2 = [x + (–2y) + z]2= x2 + (–2y)2 + z2 + 2x(–2y) +2 (–2y)z + 2zx
    = x2 + 4y2 + z2 – 4xy – 4yz + 2zx.
    (iii) (2p – 3q – r)2 = [(2p) + (–3q) + (–r)]2
    = (2p)2 + (–3q)2 + (–r)2 + 2(2p) (–3q) + 2(–3q) (–r) + 2(–r)(2p).
    = 4p2 + 9q2 + r2 – 12pq + 6qr – 4rp.
    2.Solution:
    Applying both step 1 and step 2, we have
    6x5y2 + 6x4y3 + 9x2y4 + 9xy5 = 3xy2(2x4 + 2x3y + 3xy2 + 3y3)
    3xy2 [(2x4 + 3xy2) + (2x3y + 3y3)]
    3xy2 [x(2x3 + 3y2) + y(2x3 + 3y2)]
    = 3xy2 (2x3 + 3y2) (x + y).
    3.Solution:
    In this hard algebra problem, the negative situation is taken for leakage. So subtraction operation is performed. Pump A is performing the work in 1 hour as th of a job and pump B is performing the job. The leakage is taken awayth of work.
    In algebra form,+– = 1
    Multiply the terms by 24.
    2x + 3x – x = 24
    5x – x = 24.
    4x = 24
    x =or 6
    Therefore, the pool is filled in 6 hours.
    4.Solution:
    Given algebra expression is 3(x - y) + 4(x - y -2) + 6.
    3x - 3y + 4x - 4y -8 + 6
    7x - 7y -2.
    Therefore, the simplified algebra expression is 7x - 7y -2.
    ANSWERS BY YOGESHWAR GOHIL... SO MOST OF THEM ARE PROBABLY WRONG.
    P.S., JUST INCASE YOU DIDN'T READ THE ABOVE, SIR, CAN I HAVE A MERIT, PLEASE ???

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  7. page Problem of the Week edited Week 1 One day, a person went to horse racing area, Instead of counting the number of human and…

    Week 1
    One day, a person went to horse racing area, Instead of counting the number of human and horses, he instead counted 74 heads and 196 legs. Yet he knew the number of humans and horses there. How did he do it, and how many humans and horses are there?
    Week 2
    Homer has to take Maggie, Santa's little helper, and rat poison across a river, However, Maggie, if left with the poison, will eat it and die, but if santa's little helper and maggie are together then they will fight over the toy. Homer can take just 2 of the above across the river at any one time and maggie will not eat the poison in homer's presence and maggie and santa's little helper wont fight.
    Week 3
    What is the area of a regular hexagon with sides 1 in. long?
    Week 4
    You have two block of clay in cube form and the edges are 10 cm. How many spheres with a radius of 5 cm can you make with that amount of clay?
    Week 5
    Every month, a girl gets allowance. Assume last year she had no money, and kept it up to now. Then she spends 1/2 of her money on clothes, then 1/3 of the remaining money on games, and then 1/4 of the remaining money on toys. After she bought all of that, she had $7777 left. Assuming she only gets money by allowance, how much money does she earn every month?
    BY Yogeshwar Gohil (for week 2) and...
    Azeem Hanjra

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  8. page My Opinion On How Maths Came About edited The way I see it yh, humans understand things by naming them, categorizing them, or labeling them …
    The way I see it yh, humans understand things by naming them, categorizing them, or labeling them in a way that other folks can identify with. Math is just a way of organizing numbers. In the cave man days, it was probably as simple as trading two shiny stones for one big stick. If you had four shiny stones to begin with, you would understand you would only have two left after your transaction and all dat.
    As people needed to count more and more, multiplication and division came into play just as a way to organize bigger and bigger numbers.
    Algebra, Calculus and trig and all that geek stuff innit. but if you needed to deal with a number and you didn't know what that number was, you could substitute a letter. Angles and stuff play a big role in architecture and building. Formulas need to be thought of when making weapons, like, how much fuel does this missile need and at what rate will it be used in order to hit my target.
    Math can be used to figure out at what rate the universe is expanding, where it will be in a million years, and where everything was a million years ago.
    Overall, I'd say it was either made to help us better understand the universe and each problem that is solved makes more questions for us to evolve and figure out, Or it was invented by parents to keep kids busy doing homework after school so they would stop asking for toys. So basically innit yeah some guyz sick geezers innit counted da bling and got da dollarzzzzzzzzz and made happy, buff girls happy.

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  9. page Mathemandemz edited Page by
    Page by
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  10. page Math Jokes edited An infinite crowd of mathematicians enters a bar. The first one orders a pint, the second one a h…
    An infinite crowd of mathematicians enters a bar.
    The first one orders a pint, the second one a half pint, the third one a quarter pint...
    "I understand", says the bartender - and pours two pints.
    Q: When did Bourbaki stop writing books?
    A: When they realized that Serge Lang was a single person...
    Teacher: What is 2k + k?
    Student: 3000!
    Q: What do you get if you divide the cirucmference of a jack-o-lantern by its diameter?
    A: Pumpkin Pi!
    Q: Why do you rarely find mathematicians spending time at the beach?
    A: Because they have sine and cosine to get a tan and don't need the sun!
    Q: Why do mathematicians, after a dinner at a Chinese restaurant, always insist on taking the leftovers home?
    A: Because they know the Chinese remainder theorem!
    Teacher: "Who can tell me what 7 times 6 is?"
    Student: "It's 42!"
    Teacher: "Very good! - And who can tell me what 6 times 7 is?"
    Same student: "It's 24!"
    A mathematician is flying non-stop from Edmonton to Frankfurt with AirTransat. The scheduled flying time is nine hours.
    Some time after taking off, the pilot announces that one engine had to be turned off due to mechanical failure: "Don't worry - we're safe. The only noticeable effect this will have for us is that our total flying time will be ten hours instead of nine."
    A few hours into the flight, the pilot informs the passengers that another engine had to be turned off due to mechanical failure: "But don't worry - we're still safe. Only our flying time will go up to twelve hours."
    Some time later, a third engine fails and has to be turned off. But the pilot reassures the passengers: "Don't worry - even with one engine, we're still perfectly safe. It just means that it will take sixteen hours total for this plane to arrive in Frankfurt."
    The mathematician remarks to his fellow passengers: "If the last engine breaks down, too, then we'll be in the air for twenty-four hours altogether!"
    A math student is pestered by a classmate who wants to copy his homework assignment. The student hesitates, not only because he thinks it's wrong, but also because he doesn't want to be sanctioned for aiding and abetting.
    His classmate calms him down: "Nobody will be able to trace my homework to you: I'll be changing the names of all the constants and variables: a to b, x to y, and so on."
    Not quite convinced, but eager to be left alone, the student hands his completed assignment to the classmate for copying.
    After the deadline, the student asks: "Did you really change the names of all the variables?"
    "Sure!" the classmate replies. "When you called a function f, I called it g; when you called a variable x, I renamed it to y; and when you were writing about the log of x+1, I called it the timber of x+1..."
    Q: What does the zero say to the the eight?
    A: Nice belt!
    The math teacher asks his students: "What is 9 times 7?"
    He gets several answers - all are either 62 or 65.
    "Come on - the correct answer can either be 62 or 65!"
    "What happened to your girlfriend, that really cute math student?"
    "She no longer is my girlfriend. I caught her cheating on me."
    "I don't believe that she cheated on you!"
    "Well, a couple of nights ago I called her on the phone, and she told me that she was in bed wrestling with three unknowns..."
    A French mathematician's pick up line: "Voulez vous Cauchy avec moi?"
    Q: What is the difference between a mathematician and a philosopher?
    A: The mathematician only needs paper, pencil, and a trash bin for his work - the philosopher can do without the trash bin...
    Two math students, a boy and his girlfriend, are going to a fair. They are in line to ride the ferris wheel when it shuts down.
    The boy says: "It's a sin for those people to keep us waiting like this!"
    The girl replies: "No - it's a cosin, silly!!!"

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    11:37 am

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