Easy math and Smart to Practice Mathematics Key to success

Smart math to Practice - Easy Mathematics Key to success
Use mathematical key, to facilitate you master the basic math so you will get the title of best in class. Key math is a basic method that must be mastered by the student, the next step is often to practice using the mathematical key continuously will eventually memorized by itself.

In the order shown above has the properties: such as rectangular, square, triangle, trapezoid, parallelogram, kite, and circles. Build Flat names are as follows: Rectangle have which has a flat up against the side of the same length, and has four points right angle.
Square have the sides are all the same length.



Parallelogram have rectangle whose sides are in pairs equal in length and parallel.
Trapezium have which is a rectangle that has a proper pair of parallel sides.
Triangle have which is formed by a flat up three points that are not in line among others: equilateral triangle, isosceles triangle, right triangle, any triangle

Rotational symmetry and rotational symmetry
Isosceles triangle has one symmetry Rotational, the rotational symmetry.
equilateral triangles have three-fold symmetry, three rotational symmetry.
Square has four-fold symmetry, four rotational symmetry.
Rectangle has two fold symmetry, two rotational symmetry.
Parallelogram not have Rotational symmetry, has two rotational symmetry.
Rhombus has 2 Rotational symmetry, two rotational symmetry.
Folding symmetry circle of infinity, infinite rotational symmetry.
Ellipse has two Rotational symmetry, two rotational symmetry.  
Questions and how to resolve by Use Smart mathematical key

Rectangle has a length of 24.5 cm, 13.5 cm breadth. What is the perimeter of the rectangle?
P = 2 X ( l + B )
   = 2 X ( 24,5 + 13,5 )
   = 2 X 38 = 76 cm
Mr. Bam has a rectangular plot of land with an area of ​​300 ha. Land length equal to three times the width. What is the land size image Mr.Bam a scale of 1: 100,000
Area = 300 ha = 300,000 cm ²
length = 3 x width
length: width  = 3 : 1
length = 3000 m = 300,000 cm
Width = 1000 m = 100.000 m
length in the picture = 300,000: 100,000 = 3 cm
Width of the image  = 100,000: 100,000 = 1 cm

Probably not smart if a student without knowing how to use the formula of a key or understand mathematical rules that must be followed by guide or basic mathematics itself. be required for students to learn by using a mathematical formula formula one example that I gave " Smart math to Practice - Easy Mathematics Key to success".

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Olympiad Tricks Smart Math For Primary School Mathematics

Olympiad Tricks Smart Math  For Primary School Mathematics 

Now we are in the year 2013. The ratio of ages of my father, my mother, and my younger brother is 12 : 9 : 1. Five from year now, my father will be 41 years old. in what year was my younger brother born?

Math Solution  :
for instance age my father, my mother, my brother now is x, y and z then.
X : Y : Z = 12 : 9 : 1
X : Z = 12 : 1
Z = X/12 .............. ( 1 )                
X + 5 = 41
X = 41 - 5
X = 36 ................. ( 2 )
From ( 1 ) and ( 2 ) we get : X = 36 ----> Z = X/12 = 36/12 = 3
so, my younger brother was born in the year 2013-3 = 2010

Father's saving in a bank is $100. Mother saving in bank is $40. Every and of the week, father withdraw $3 from his savings. At the same time, mother always deposit $2.40 into her savings. After how many weeks will father's savings be $6 less than mother's savings?

Math Solution  :

for example savings father would be $ 6 less than the saving mother after x weeks, then
(100 - 3x) - (40 + 2,4x) = -6
100 - 3x - 40 - 2,4x = -6
- 5,4x = -66
x = -66/-5,4
x = 122/9      
so, father saving money will be a $ 6 less than the savings of women after 13 weeks.

Replace the latter A with an odd digit and the latter B with an even digit, so that 12 is a factor of the number A579B. find the all possible velues of A579B.
Smart Math Solution  :
12 divider A579B, A579B then 4 divider. 4 Thus divisor of 9B, then B = 2 or B = 6. Also 3 is a factor of the A579B. So 5 +7 +9 = 21 is divisible by 3, A + B is also divisible by 3. If B = 2, then A = 1 or A = 7. If B = 6, then A = 3
Thus, all possible values ​​are 15 792, 75 792 and 35 796.

The volume a small balloon is 2 liters and a larger balloon is a 5 liters. The small balloon is increased at rate of 0.4 liters per second. The larger balloon is decreased at rate of  012 per second. After how many seconds will the two balloons have the same volume?

Smart Math Solution  :

The difference between the two balloons is 3 liters. Every second of this difference decreased 0.42 liters. thus two balloons that will have the same volume after 3/0, 42 = 7.1 seconds.

Twice the number  of marbles in a bag A is less than the number of marbles in bag B. The sum of the number of marbles in bag A and C is less than the number marbles in bag B. there are more marbles in bag D than in bag B. There are 6 marbles in bag C and 9 marbles in bag D. How many marbles does bag B contain?

Smart Math Solution  :
we obtain                                       so that
2A < B                                           A + 6 < 9
A + C < B                                      A < 3
D > B                                             If A = 2, then 8 < B < 9 impossible.
C = 6                                              therefore,
D = 9                                              A = 1, then 7 < B < 9 so that B = 8
therefore,
B - A > 6
B < 9
  

With learning earnestly we surely a success become champion at level Primary School Mathematics Olympiad.

be required for students to learn by using a mathematical formula formula one example that I gave "Olympiad Tricks Smart Math  For Primary School Mathematics ".

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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

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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.

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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 

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 m², 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.

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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

 

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