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Showing posts with label Math Olympiad. Show all posts
Showing posts with label Math Olympiad. Show all posts

2013/06/26

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 ".

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