|
|
| (19 intermediate revisions by 4 users not shown) |
| Line 1: |
Line 1: |
| − | == Problem I1 ==
| + | The following is a list of [[PMWC]] problems from the year 1997 |
| − | Evaluate 29 27/28 x 27 14/15
| |
| − | [[1997 PMWC Problems/Problem I1|Solution]] | |
| | | | |
| − | == 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
| |
| − | there in the class?
| |
| − | | |
| − | [[1997 PMWC Problems/Problem I7|Solution]] | |
| − | | |
| − | == Problem I8 ==
| |
| − | | |
| − | [[1997 PMWC Problems/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)
| |
| − | | |
| − | [[1997 PMWC Problems/Problem I9|Solution]] | |
| − | | |
| − | == Problem I10 ==
| |
| − | Mary took 24 chickens to the market. In the morning she
| |
| − | sold the chickens at <math>\</math><math>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 </math>\<math></math>132 for the whole day. How many
| |
| − | chickens were sold in the morning?
| |
| − | | |
| − | [[1997 PMWC Problems/Problem I10|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 <math>6750 cm^2</math>.
| |
| − | [[Image:ABCD.gif]]
| |
| − | | |
| − | [[1997 PMWC Problems/Problem I11|Solution]] | |
| − | | |
| − | == Problem I12 ==
| |
| − | In a die, 1 and 6,2 and 5,3 and 4 appear on opposite faces.
| |
| − | When 2 dice are thrown, product of numbers appearing on
| |
| − | the top and bottom faces of the 2 dice are formed as follows:
| |
| − | number on top face of 1 st die x number on top face of 2nd die
| |
| − | number on top face of 1st die x number on bottom face of 2nd die
| |
| − | number on bottom face of 1st die x number on top face of 2nd die
| |
| − | number on bottom face of 1st die x number on bottom face of 2nd die
| |
| − | What is the sum of these 4 products ?
| |
| − | | |
| − | [[1997 PMWC Problems/Problem I12|Solution]] | |
| − | | |
| − | == Problem I13 ==
| |
| − | A truck moved from A to B at a speed of 50 km/h and
| |
| − | returns fi-om B to A at 70 km/h. It traveled 3 rounds within
| |
| − | 18 hours. What is the distance between A and B?
| |
| − | | |
| − | [[1997 PMWC Problems/Problem I13|Solution]] | |
| − | | |
| − | == Problem I14 ==
| |
| − | 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.
| |
| − | | |
| − | [[1997 PMWC Problems/Problem I14|Solution]] | |
| − | | |
| − | == Problem I15 ==
| |
| − | How many paths from A to B consist of exactly six line
| |
| − | segments (vertical, horizontal or inclined)?
| |
| − | [[Image:AB.gif]]
| |
| − | | |
| − | [[1997 PMWC Problems/Problem I15|Solution]] | |
| − | | |
| − | == Problem T1 ==
| |
| − | | |
| − | [[1997 PMWC Problems/Problem T1|Solution]] | |
| − | | |
| − | == Problem T2 ==
| |
| − | | |
| − | [[1997 PMWC Problems/Problem T2|Solution]] | |
| − | | |
| − | == Problem T3 ==
| |
| − | | |
| − | [[1997 PMWC Problems/Problem T3|Solution]] | |
| − | | |
| − | == Problem T4 ==
| |
| − | | |
| − | [[1997 PMWC Problems/Problem T4|Solution]] | |
| − | | |
| − | == Problem T5 ==
| |
| − | | |
| − | [[1997 PMWC Problems/Problem T5|Solution]] | |
| − | | |
| − | == Problem T6 ==
| |
| − | | |
| − | | |
| − | [[1997 PMWC Problems/Problem T6|Solution]] | |
| − | | |
| − | == Problem T7 ==
| |
| − | | |
| − | [[1997 PMWC Problems/Problem T7|Solution]] | |
| − | | |
| − | == Problem T8 ==
| |
| − | | |
| − | [[1997 PMWC Problems/Problem T8|Solution]] | |
| − | | |
| − | == Problem T9 ==
| |
| − | | |
| − | [[1997 PMWC Problems/Problem T9|Solution]] | |
| − | | |
| − | == Problem T10 ==
| |
| − | | |
| − | [[1997 PMWC Problems/Problem T10|Solution]] | |
