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2013/06/26

Trick Math Olympiad Smart Way

Trick Math Olympiad smart way best solution to learn and practice working on a variety of questions that explore the ways to be a winner in the contest math Olympiad..

Every 7 days, a newspaper man drops a weekly magazine at margareth's house. A milkman goes there every 6 days. last October 1st, the two man want to margaret's house. When (date and month) will they go there again on the same day?
Trick Math :
Least common multiple of 6 and 7 is 42. if both the seller is dated 1st October margaret's house, then 42 days later come together on the  November 12th.

A bus can carry 30 passengers, a  minibus 8  passengers, and a train car 52 passengers. at least how many train car needed to carry passengers from 6 full buses and 13 full minibuses?
Trick Math :
6 full bases = 6 X 30 = 180 passengers
13 full minibuses = 13 X 8 = 104 passengers
Train = 180 + 104 : 52 = 5,46  So, it takes a train to carry passengers from 6 full bus and minibus full 13 approximately 6 train.

Machine A cost $500 and machine B cost $1000. we need $10 per day to run machine A, and $5 per day to run machine B. After running how many days will the total cost for both machines be equal?
Trick Math :
for example, the overall costs for both the machine it will be the same after running x days, then
500 + 5x + 10x = 1000
5x = 500
  x = 100 So, the overall cost of the machines that will be the same after running 100 days.

How many integers between 999 and 2001 are divisible 5?
 Trick Math :
arithmetic sequence: 1000,1005,1010, ......., 2000.
2000 = 1000 + (n - 1) X 5
5 (n -1) = 2000 to 1000
     n - 1 = 200
           n = 201 + 1 = 201
 

A watermelon of 1 kg contains 93% water. After being left under the sun for a while is water contain went down to 90%. What is the weight of the watermelon now?
Trick Math :
100/10 X 70 = 700 grams. 

Use all digits 2,3,4,5,7 and 8 exactly once to get two numbers P and Q . Both P and Q contain three digits and that P - Q is positive. Find the smallest value of P - Q.
Trick Math :
Numbers P and Q have different 1. Numbers to two of P should be smaller than the second number Q. choose 2 and 8 respectively as a second number of P and Q. This argument is used for the third number, we chose the number 3 and 7 number respectively as a third of P and Q. Finally, we chose 5 and 4 as a first number of P and Q. This gives P = 523 and Q = 487, so P - Q 523-487 = 36.

question was given only as an illustration and suggestion from Trick Math Olympiad Smart Way

2013/06/25

Easy mathematics solution Methods be SMART

Easy mathematics solution Methods give shape and how to solve math problems easily 
We will give examples of questions and answers and I'll look carefully can be understood by the reader, thoroughness is a concentrated form of our brain.

Question : Write the prime factors of 204
solution : 
204 = 2X2X2X3X17 so, the prime factors of 204 are 2.3 and 17

Question : Write down the set of even integers between -8 and 8
Easy math solution :
the set of even numbers between -8 and 8 [-6, -4, -2,0,2,4,6]

Question : [24/29] = [24/37] / [29X k], then k = ......
Easy math solution :
k = [24X37] x 29] / 29 X24
k = 37 

Question : [17 X n] + [105: 15] = 109, then n = .......
solution :
[17x n] + 7 = 109
[17 X n] = 109-7
          n = 102/7
          n = 6

Question : - 25 + [-17] - 8 = n +25, price (n) = ......
solution :
- 50 = n + 25
    n = - 50-25
    n = -75

Question : A money: money b = 2 : 1, while the money A: money C = 2 : 1, what is the ratio of money A : money B money C ? 
solution :
For example, A = 2k, money b = k, then A money : money C = 2 : 1
Money C = 1/2 X money A = 1/2 X 2k = k
so comparison, money A: B money: money C = 2k : k : k = 2 : 1 : 1



Question : Old price of an item is 28,000,00. new price is 35,000,00. What percentage increase in such goods.
solution :
increase in price = new price - old price
price increase = 35,000,00 - = 7,000,00 28,000,00
so, the percent increase in the price of goods
= Increase in price of goods / old price x 100%
= 7,000,00 / 28,000,00 X 100% = 25%
 


Question : Resident of the city of 600,000 people. 60% of the population were male and 40% female of number of males are boys and 10% of boys the same as the number of girls. what is the number of men, boys, women and girls? 
Easy math solution :
men     = 60% x 600,000 = 360,000 souls
boys    = 20% x 360,000 = 72,000 souls
women = 40% x 600,000 = 240,000 souls
girls      = 10% x 72,000 = 7,200 souls
 



Question : the amount of savings in the bank john is 85,000,00. interest money in the bank in the first year is 2.5% a month. The next year the interest money fell to 1.5% a month. what is the total amount of interest money in the bank john after saving up for 3 years?
Easy math solution :
money = 85,000,00
rate = 2.5% X 12 X 85,000,00 + 1.5% X 24 X 85,000,00
      = 12 X 85,000,00 [2,5 / 100 + 1.5 / 100 x 2]
      = 1,020,000,00 [5,5 / 100]
      = 56,100,00

      = 85,000,00 + 56,100,00 = 141,100,00
 


 This is just a little example Easy mathematics solution Methods.

2013/06/20

Smart Math in Roots of Quadratic be Easy with Table Key

Smart  Math in Roots of Quadratic be Easy with Table Key will lead and guide you to understand how to attract the square root of the result properly, just two steps you already know the outcome of the roots of that number. Well let's continue by reading and observing the steps how to use the square root table.

Before on the subject of the Roots of Quadratic we consider two key below, the red table to find the results in front of numbers after we closed two numbers from the back while the blue to find the results of the last numbers.

The Key Roots of Quadratic 
Roots of Quadratic
This table square root note of red table to determine the numbers in front after closing two numbers whereas the blue table to determine the next number or numbers the results back.

Now we will find the square root use by using above key of Roots of Quadratic closed two numbers from the back, which in looking further we see number 1 red table 1 until 3 the key is 1.

Do this the following questions using with Smart  Math in Roots of Quadratic be Easy with Table Key.
1. Known square area 576 cm ². length side of the rectangle is ....?
2. John handkerchief square shaped. If the area is 625 cm ² handkerchief then length of handkerchiefs ....?

Number 3 to 10 I give multiple choice answers

3. Area of ​​a square is 7056 cm ². length side of the rectangle is ....?
A. 8.4 cm
B. 4.8 cm
C. 48 cm
D. 84 cm

4. Waking up in addition to having extensive 289 cm ² is the long side .... ?

A. 14 cm
B. 15 cm
C. 16 cm
D. 17 cm

5. Known area of ​​a square is 2,116 cm ². length side is ....?
A. 36 cm
B. 46 cm
C. 56 cm
D. 66 cm

6. A square-shaped tiles with a surface area of 1,600 , the size of the tiles is ....?
A. 10 cm x 10 cm
B. 20 cm x 20 cm
C. 30 cm x 30 cm
D. 40 cm x 40 cm


7. If the area of ​​the flat up 1,444 cm ² the length of a side is ....? 

A. 48 cm
B. 38 cm
C. 32 cm
D. 12 cm



8. length of the square on the right is ....? 

A. 18 cm
B. 22 cm
C. 56 cm
D. 58 cm

9. Square that has a circumference of 729 cm ² is vast ....? 

A. 23 cm
B. 27 cm
C. 92 cm
D. 108 cm

10. Building area of ​​4 square, 84 cm ², square side length is up ....? 

A. 1.2 cm
B. 2.2 cm
C. 12 cm
D. 22 cm
 



Have you could use this method? if you do not watch and read way back twice you certainly can.
Do not forget how to use the method key of Smart  Math in Roots of Quadratic be Easy with Table Key.

2013/06/14

Easy and Smart Math Fractions

One minute Easy and Smart Math Fractions a smart way doing fractions in mathematics, the first steps must be taken to know how to add or subtract fractions the same denominator. The second solution to know how to do fractions are not the same denominator by equating the denominator first.
The third solution to know how to do mixed fractions (Mixed rational number) we will further discuss how intelligent the problem mentioned above, we will start one by one with a smart and easy way.

Addition Same Fraction Denominator
  • 1/3 + 2/3 = 3/3 = simplifies to 1
  • 2/8 + 3/8 + 1/8 = simplifies to 6/8 = 3/4
  • 7/9 - 2/9 + 5/9 = 10/9 =  simplifies to11/9

The addition of Mixed fraction denominators are not the same
  • 1/3 + 2/4 = 3/12 + 6/12 = 9/12  simplifies to 3/4
  • 21/3 + 32/4 = [ 2 + 3 ] 3/12 + 6/12 = 59/12 simplifies to 51/4
Equating Denominator ( 3 × 4 = 12 )
Easy smart math method (12 : 3 × 1 = 3 and (12 : 4 × 2 = 6) next (numerator + numerator)
for about the same fractional reduction in the denominator or not the same way except that the numerator minus the numerator is valid for mixed fractions, but does not apply to multiplication and division of fractions.

Multiplication of mixed fractions 
  • 2/4 X 3/5 = 6/20 simplifies to 3/10
  • 32/4 X 43/5 = 14/4 X 23/5 = 322/20 simplifies to 161/10
Note : FIRST mixed fractions change be fractions this way ......
32/4 = [ 3 X 4 ] + 2 = 14/4 and  43/5 = [ 4 X 5 ] + 1 = 23/5


Division of mixed fraction

  • 1/2 : 2/5 = 1/2 X 5/2 = 5/4 simplifies to 11/4 
  • 31/2 : 32/5 = 7/2 : 17/5 = 7/2 X 5/17= 35/34 simplifies to 11/34
Note : FIRST mixed fractions change be fractions and last fraction the numerator over the denominator under.
After flipping the numbers (numerator and denominator to the numerator to the denominator) then multiplied (the numerator and denominator to the numerator by the denominator)

Have you could use this method? if you do not watch and read way back twice if you could surely can not repeat again reading way equate the denominator and producing an own questions and do over and over until you can with practice may be more substantial and always practice continues because mathematics need to practice and try so that the results are very good. Find about the different models and can certainly do.
examples of math story

After waking up I drink 4/6 cups of water. After breakfast I drank 3/6 glasses of water. how many glasses of water I drink the morning ?

Mother was given cakes third part of their father, and then given another fourth part of me. How many cookies are accepted by the mother?
Do not forget to do with the method Easy and Smart Math Fractions

 

2013/06/10

Smart Math Easy way division be success in Matematics

Smart Math Easy Ways division of numbers divided by one point or two points, how easily we will provide solutions from simple to the most convenient way. First we will give an example of an easy division and how simple. so we will get the whole math division will be easily solved.
see the method below carefully so that you will get exactly the division and easy, in fact all mathematics methods if we knew for sure we would be the best. 

Before we begin stage horizontal distribution of the remaining elementary division, because without knowing of the fundamental ways that will certainly find it difficult.
Immediately, we begin the early stages of the division left with a smart way.
  •   7 :   2  = 3 remaining 1
  • 10 :   4  = 2 remaining 2
  • 15 :   6  = 2 remaining 3
  • 35 :   6  = 5 remaining 5
  • 37 : 12  = 3 remaining 1
then we will do the division landscape with lot of digits, this method is very useful for quickly division. In the end this way we take a little time to do any long division numbers to be shared.

Smart Math-Easy way division methods Horizontal division with a foolproof method like the example below:

  • 132 : 4 = 33
The first step was the division of the 13: 4 Remaining 1,then 1 is inserted in front of the number 2 to be 12 : 4 = 3
  • 1772 : 4 = 443
Same way as before 17: 4 = 4 remainder 1, then 1 is placed in front of the number 7 next to a 17 : 4 = 4 remainder 1, step 1 is placed in front of number 2 to be 12 : 4 = 3
  • 26556 : 12 = 2213
Although the numbers in the tens, the same way 16 : 12 = 2 remainder 2, then 2 is placed in front of the numbers 5 to 25 : 12 = 1 remainder 1, then 1 is placed in front of the numbers 5 to 15 : 12 = 1 remainder 3, then 3 brought to the front so that the 6 to 36 : 12 = 3

Then you make your own long number divided by two points when it could be improved further with an even longer. continue doing so until fast and faster until the fastest in the end you could be sharing the fastest in your class.
Although the exact numbers no matter how long it will be easy in the division easily done by trying divisions Easy way. Mathematical methods easy way would be greatly aided by a simple methods.

So it is not wrong to use the first two ways to memorize every day in class, the second by using the method of Easy way division. Hopefully this article can be useful for our education so that all candidates for the next generation to be people who are intelligent and wise and rich knowledge both in the field of mathematics one method of Smart Math-Easy way division.