Taken from South East Asian Mathematics Competition (SEAMC) 2010 in Bangkok, Thailand.
Mr. Smith went into his local bank with a cheque for an amount in Dollars and Cents. He asked the cashier to give him cash for the amount on the cheque. However, she confused the Dollars and cents. So Mr. Smith received Dollars for the amount of cents on the cheque, and cents for the amount of Dollars (e.g if the cheque was for $22.43, Mr. Smith would have been given $43.22)
Mr. Smith left the bank and bought a newspaper for 50 cents. After this, Mr. Smith realised he had exactly three times as much money left as the value of the original cheque.
How much was the original cheque for?
For another SEAMC past problems visit the official site.
Showing posts with label junior high school math olympiad. Show all posts
Showing posts with label junior high school math olympiad. Show all posts
7/18/2011
4/05/2011
Probability Problem
The Mathematical Olympiad Handbook: An Introduction to Problem Solving Based on the First 32 British Mathematical Olympiads 1965-1996 (Oxford Science Publications)
1. A survey of the non-healthy habits of 80 sophomore students of a certain seminary showed the following result.
45 drink alcoholic beverages
42 stay up late
40 smoke cigarettes
25 drink alcohol and smoke
19 stay up late and smoke
22 drink alcohol and stay up late
9 practice clean healthy living by not doing any of the 3
If a seminarian sophomore is randomly picked, what is the probability that he:
a. is just an insomniac (or just stay up late)
b. smokes and/or drinks but is a sleepyhead (or smokes and/or drinks but sleeps early)
c. he should be kicked out of the seminary (by doing all the three things)
2. What is the probability that a path from (0,0) to (8,6) pass through (5,4), assuming that all paths move along grid lines and that movement must be either the positive x or the positive y direction?
1. A survey of the non-healthy habits of 80 sophomore students of a certain seminary showed the following result.
45 drink alcoholic beverages
42 stay up late
40 smoke cigarettes
25 drink alcohol and smoke
19 stay up late and smoke
22 drink alcohol and stay up late
9 practice clean healthy living by not doing any of the 3
If a seminarian sophomore is randomly picked, what is the probability that he:
a. is just an insomniac (or just stay up late)
b. smokes and/or drinks but is a sleepyhead (or smokes and/or drinks but sleeps early)
c. he should be kicked out of the seminary (by doing all the three things)
2. What is the probability that a path from (0,0) to (8,6) pass through (5,4), assuming that all paths move along grid lines and that movement must be either the positive x or the positive y direction?
4/03/2011
Math Olympiad Example Problem for K9
1. ABC is a right triangle with <ACB= 74° and AM=MQ=QP. Find <QPB.
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| math olympiad example problem |
3. <A=60o and the radius of big circle is 6. Find the radius of small circle.
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| math olympiad example problem |
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