Thailand 1 Elementary Mathematics International Contest 2003 (TEMIC) September 8, 2003 Rose Garden Aprime Resort, Nakhon Pathom, Thailand
Thailand 1 Elementary Mathematics International Contest 2003 (TEMIC) September 8, 2003 Rose Garden Aprime Resort, Nakhon Pathom, Thailand
Thailand 1 Elementary Mathematics International Contest 2003 (TEMIC) September 8, 2003 Rose Garden Aprime Resort, Nakhon Pathom, Thailand
September 8, 2003
Rose Garden Aprime Resort, Nakhon Pathom, Thailand.
1. M sold some apples and received an amount of money. If M had sold 10 more
apples for the same amount of money, the price of one apple would be 2 baht
less than the original price. If M had sold 10 less apples for the same amount of
money, the price of one apple would be 4 baht more than the original price.
(Note: Baht is the Thai Currency)
2. Bag A has twice the number of beads in bag B. 12% of beads in bag A are
removed and transferred to bag C. 20% of beads in bag B are removed and
transferred to bag C. After removing and transferring beads, there are now 488
beads in bag C which is 22% more than the original number of beads in bag C.
How many beads were there in the bag A at the beginning?
3. City P is 625 kilometers from City Q. M departed from City P at 5:30 a.m.
travelling at 100 kilometers per hour, and arrived at City Q. Fifteen minutes
after M left, N departed from City Q and arrived at City P travelling at 80
kilometers per hour. At what time did M and N meet together?
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4. Alan has 80% more stamps than Billy. Billy has of the number of Charlie's
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stamps. If Billy gave 150 stamps to Charlie, then Charlie would now have three
times the number of Billy’s remaining stamps. What is the total number of
stamps they have altogether?
5. A boat is 50 kilometers away from the port. The boat is leaky, so water flows
into the boat at the rate of 2 tons per 5 minutes. If there were 90 tons of water in
the boat, the boat would sink. If there is a pump in the boat, pumping out 12
tons of water per hour, what should be the minimum speed of the boat in km/h
to avoid the boat from sinking?
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6. X is a 2-digit number whose value is of the sum of its digits. If 36 is added
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to X, the result will contain the same digits but in reverse order. Find X.
Thailand 1st Elementary Mathematics International Contest 2003 (TEMIC)
September 8, 2003
Rose Garden Aprime Resort, Nakhon Pathom, Thailand.
7.
A B
D E C
8. Find all 2-digit numbers such that when the number is divided by the sum of its
digits the quotient is 4 with a remainder of 3.
10. A
E B
C D
11.A, B and C worked together and received a total wage of 52400 baht. A
received 125% of B's wage, but 90% of C's wage.
(Baht = Currency of Thailand)
12. There are 20 red marbles, 30 white marbles and some blue marbles in a box. If
you draw one marble from the box, the probability or chance of drawing one
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blue marble is . How many blue marbles are there in the box?
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13. When 31513 and 34369 are each divided by a certain three-digit number, the
remainders are equal. Find this remainder.
14. Fill in all the numbers below into circles A, B, C, such that all numbers in
circle A are divisible by 5, all numbers in circle B are divisible by 2, all
numbers in circle C are divisible by 3.
1749, 3250, 7893, 2025, 1348, 2001, 112, 102, 48, 2030, 930, 207, 750, 1605
A B