math puzzle
Happy Birthday!
My son's birthday is January 23. His birthday reminds me of this month's math puzzle, which is called Happy Birthday. This puzzle asks what are your chances of being in a room with someone else who shares your birthday.
For my son the chances are rather lower than normal. I can name FIVE other people who share his birthday: an aunt, a neighbor, a classmate, one friend's daughter, another friend's son. And none of these people know each other.
I want to know, what are the odds of that!
Measure Exactly 8 Liters of Water
Roman Korkin and Mahaveer Jain independently have found a more optimal solution to the puzzle on page 48, Measure Exactly 8 Liters of Water! Congratulations!
Their solution is shown in the table below. Can anyone find yet another solution with fewer steps?
|
Step number |
6-liter container |
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Math Puzzle
Math puzzles need a brilliant mind and expertise in fast answering .....so I have tried it, and it was very challanging for me. .......When I saw the question......ooh, that very difficult question....I was so sad......But working with the group I succeeded in getting some answers.
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SEED Kemaman Workshop 2012 - Day 2
On Day 2 of Kemaman workshop, we decided to start with SEED Solar Water Heater activity since the weather is shiny in the morning. We do like to take that opportunity especially it is year end monsoon season in Kemaman.
Check out the following photos from Day 2:
Simon and Hafiz explaining about Solar Water Heater SEED Kit
Algebraic thinking
PUZZLE NAME: ALGEBRAIC THINKING.
DESCRIBE PUZZLE: IT WAS VERY EASY TO SOLVE BUT HARD TO REASON OUT.
HOW INTERESTING $ CHALLENGING: IT WAS VERY EASY BUT INTERSTING.
ADVICE TO OTHERS: DRAW A JOINT TABLE FROM 1 TO 12 $ PUT ALL THE SIDES POINT.
DESCRIBE SOLUTION ATTEMPTS: DRAW A JOINT TABLE FROM 1 TO 12 $ PUT ALL THE SIDES POINT.
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Probability--Are All Digits Equal ?
Puzzle name:
Are all digits equal? More about Ben Ford's different dice. Matching socks.
Describe puzzle solution:
First we read all questions properly then we tried to solve it. We solved totally 5 sums, and some of them were not understood by us...
Description:
We took some of the clue from the teacher, and we used question paper and solved 5 sums by mathematicsl reasoning.
How the solution was found:
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Arithmetic- Is It a Sale?
Puzzle Name:
IS IT A SALE?
Describe the puzzle solution?
Interesting
How was it solved?
The person of crowd is right because the shop raised the price 10% last week and now they discounted it 10% off. When they raised the price a week before they made a profit.Now that they have lowered the price a little below actual cost they can cover their loss by last week's profit so it is a sale for people and a profit for shop as well....
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Stringing Beads
Stringing Beads
I and friends worked on solving this task and found it very interesting. Our solutions you can see below.
The number of possible combinations is calculated by the apparently simple formula 2^n.
The number of beads to produce all the combinations is calculated by the formula (2^n)*n.
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What's wrong with this picture?
Opposite faces of the die should total seven, so that the number 4 can not be adjacent to number 3.
Building with Bricks
To solve the problem we can use a pyramid with H={1, 2,3} and then we see that the amount of bricks needed to build a pyramid with height H is equal to H2.
Mathemathical proof:
f(1) = 1;
f(x) = f(x-1) + 2*x - 1 for x > 1
Where f(x) is number of bricks needed to build the pyramid with height x.
x2- (x-1)2= (x-(x-1))*(x+(x-1)) = 2*x - 1;
f(1) = 1 = 12, then f(2) = (2-1)2+ 2*x - 1 = 4 = 22, so f(x) = x2
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