Label: Math Olympiad
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
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 ".
Diposkan oleh Zae Nal in 26.6.13