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| == Problem I1 ==
| | The following is a list of [[PMWC]] problems from the year 1997 |
| Evaluate 29 27/28 x 27 14/15
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| [[1997 PMWC Problems/Problem I1|Solution]] | |
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| == Problem I2 ==
| | *[[1997 PMWC Problems|Entire Exam]] |
| | | *[[1997 PMWC Answer Key|Answer Key]] |
| [[1997 PMWC Problems/Problem I2|Solution]] | | **[[1997 PMWC Problems/Problem I1|Problem I1]] |
| | | **[[1997 PMWC Problems/Problem I2|Problem I2]] |
| == Problem I3 ==
| | **[[1997 PMWC Problems/Problem I3|Problem I3]] |
| Peter is ill. He has to take medicine A every 8 hours,
| | **[[1997 PMWC Problems/Problem I4|Problem I4]] |
| medicine B every 5 hours and medicine C every 10 hours.
| | **[[1997 PMWC Problems/Problem I5|Problem I5]] |
| If he took all three medicines at 7 a.m. on Tuesday, when will he take them altogether again?
| | **[[1997 PMWC Problems/Problem I6|Problem I6]] |
| | | **[[1997 PMWC Problems/Problem I7|Problem I7]] |
| [[1997 PMWC Problems/Problem I3|Solution]] | | **[[1997 PMWC Problems/Problem I8|Problem I8]] |
| | | **[[1997 PMWC Problems/Problem I9|Problem I9]] |
| == Problem I4 ==
| | **[[1997 PMWC Problems/Problem I10|Problem I10]] |
| | | **[[1997 PMWC Problems/Problem I11|Problem I11]] |
| [[1997 PMWC Problems/Problem I4|Solution]] | | **[[1997 PMWC Problems/Problem I12|Problem I12]] |
| | | **[[1997 PMWC Problems/Problem I13|Problem I13]] |
| == Problem I5 ==
| | **[[1997 PMWC Problems/Problem I14|Problem I14]] |
| | | **[[1997 PMWC Problems/Problem I15|Problem I15]] |
| [[1997 PMWC Problems/Problem I5|Solution]] | | **[[1997 PMWC Problems/Problem T1|Problem T1]] |
| | | **[[1997 PMWC Problems/Problem T2|Problem T2]] |
| == Problem I6 ==
| | **[[1997 PMWC Problems/Problem T3|Problem T3]] |
| 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?
| | **[[1997 PMWC Problems/Problem T4|Problem T4]] |
| | | **[[1997 PMWC Problems/Problem T5|Problem T5]] |
| [[1997 PMWC Problems/Problem I6|Solution]] | | **[[1997 PMWC Problems/Problem T6|Problem T6]] |
| | | **[[1997 PMWC Problems/Problem T7|Problem T7]] |
| == Problem I7 ==
| | **[[1997 PMWC Problems/Problem T8|Problem T8]] |
| 40% of girls and 50% of boys in a class got 'A'. If there
| | **[[1997 PMWC Problems/Problem T9|Problem T9]] |
| are only 12 students in the class got 'A's and the ratio of
| | **[[1997 PMWC Problems/Problem T10|Problem T10]] |
| boys and girls in the class is 45, how many students are
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| there in the class?
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| [[1997 PMWC Problems/Problem I7|Solution]] | |
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| == Problem I8 ==
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| [[1997 PMWC Problems/Problem I8|Solution]] | |
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| == Problem I9 ==
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| A chemist mixed an acid of 48% concentration with the
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| same acid of 80% concentration, and then added 2 litres of
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| distilled water to the mixed acid. As a result, he got 10
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| litres of the acid of 40% concentration. How many
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| millilitre of the acid of 48% concentration that the chemist
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| had used? (1 litre = 1000 millilitres)
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| [[1997 PMWC Problems/Problem I9|Solution]] | |
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| == Problem I10 ==
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| Mary took 24 chickens to the market. In the morning she
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| sold the chickens at <math>7 each and she only sold out less than
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| half of them. In the afternoon she discounted the price of
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| each chicken but the price was still an integral number in
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| dollar. In the afternoon she could sell all the chickens, and
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| she got totally </math>132 for the whole day. How many
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| chickens were sold in the morning?
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| [[1997 PMWC Problems/Problem I10|Solution]] | |
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| == Problem I11 ==
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| 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>.
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| [[Image:ABCD.gif]]
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| [[1997 PMWC Problems/Problem I11|Solution]] | |
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| == Problem I12 ==
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| In a die, 1 and 6,2 and 5,3 and 4 appear on opposite faces.
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| When 2 dice are thrown, product of numbers appearing on
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| the top and bottom faces of the 2 dice are formed as follows:
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| number on top face of 1 st die x number on top face of 2nd die
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| number on top face of 1st die x number on bottom face of 2nd die
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| number on bottom face of 1st die x number on top face of 2nd die
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| number on bottom face of 1st die x number on bottom face of 2nd die
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| What is the sum of these 4 products ?
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| [[1997 PMWC Problems/Problem I12|Solution]] | |
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| == Problem I13 ==
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| A truck moved from A to B at a speed of 50 km/h and
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| returns fi-om B to A at 70 km/h. It traveled 3 rounds within
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| 18 hours. What is the distance between A and B?
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| [[1997 PMWC Problems/Problem I13|Solution]] | |
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| == Problem I14 ==
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| If we make five two-digit numbers using the digits 0, 1, 2,...9 exactly once, and the product of the five numbers is maximized, find the greatest number among them.
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| [[1997 PMWC Problems/Problem I14|Solution]] | |
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| == Problem I15 ==
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| [[1997 PMWC Problems/Problem I15|Solution]] | |
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| == Problem T1 ==
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| [[1997 PMWC Problems/Problem T1|Solution]] | |
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| == Problem T2 ==
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| [[1997 PMWC Problems/Problem T2|Solution]] | |
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| == Problem T3 ==
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| [[1997 PMWC Problems/Problem T3|Solution]] | |
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| == Problem T4 ==
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| [[1997 PMWC Problems/Problem T4|Solution]] | |
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| == Problem T5 ==
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| [[1997 PMWC Problems/Problem T5|Solution]] | |
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| == Problem T6 ==
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| [[1997 PMWC Problems/Problem T6|Solution]] | |
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| == Problem T7 ==
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| [[1997 PMWC Problems/Problem T7|Solution]] | |
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| == Problem T8 ==
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| [[1997 PMWC Problems/Problem T8|Solution]] | |
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| == Problem T9 ==
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| [[1997 PMWC Problems/Problem T9|Solution]] | |
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| == Problem T10 ==
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| [[1997 PMWC Problems/Problem T10|Solution]] | |
