Difference between revisions of "1997 PMWC"

(Problem I11)
(Problem I11)
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== Problem I11 ==
 
== Problem I11 ==
 
A rectangle ABCD is made up of five small congruent rectangles as shown in the given figure. Find the perimeter, in cm, of ABCD if its area is <math>6750 cm^2</math>.  
 
A rectangle ABCD is made up of five small congruent rectangles as shown in the given figure. Find the perimeter, in cm, of ABCD if its area is <math>6750 cm^2</math>.  
 +
[[Image:ABCD.gif]]
  
 
[[1997 PMWC Problems/Problem I11|Solution]]
 
[[1997 PMWC Problems/Problem I11|Solution]]

Revision as of 16:39, 8 October 2007

Problem I1

Evaluate 29 27/28 x 27 14/15 Solution

Problem I2

Solution

Problem I3

Peter is ill. He has to take medicine A every 8 hours, medicine B every 5 hours and medicine C every 10 hours. If he took all three medicines at 7 a.m. on Tuesday, when will he take them altogether again?

Solution

Problem I4

Solution

Problem I5

Solution

Problem I6

John and Mary went to a book shop and bought some exercise books. They had <dollar/>100 each. John could buy 7 large and 4 small ones. Mary could buy 5 large and 6 small ones and had <dollar/>5 left. How much was a small exercise book?

Solution

Problem I7

40% of girls and 50% of boys in a class got 'A'. If there are only 12 students in the class got 'A's and the ratio of boys and girls in the class is 45, how many students are there in the class?

Solution

Problem I8

Solution

Problem I9

A chemist mixed an acid of 48% concentration with the same acid of 80% concentration, and then added 2 litres of distilled water to the mixed acid. As a result, he got 10 litres of the acid of 40% concentration. How many millilitre of the acid of 48% concentration that the chemist had used? (1 litre = 1000 millilitres)

Solution

Problem I10

Mary took 24 chickens to the market. In the morning she sold the chickens at $7 each and she only sold out less than half of them. In the afternoon she discounted the price of each chicken but the price was still an integral number in dollar. In the afternoon she could sell all the chickens, and she got totally$132 for the whole day. How many chickens were sold in the morning?

Solution

Problem I11

A rectangle ABCD is made up of five small congruent rectangles as shown in the given figure. Find the perimeter, in cm, of ABCD if its area is $6750 cm^2$. ABCD.gif

Solution

Problem I12

Solution

Problem I13

Solution

Problem I14

Solution

Problem I15

Solution

Problem T1

Solution

Problem T2

Solution

Problem T3

Solution

Problem T4

Solution

Problem T5

Solution

Problem T6

Solution

Problem T7

Solution

Problem T8

Solution

Problem T9

Solution

Problem T10

Solution