So if you want to try, here are the problems:
1. I sometimes ride my bicycle to work. I have noticed that in terms of time, I am 1/4 of the way to work when I pass the bank, and I have completed 2/3 of the trip when I get to the village hall. One morning, when I forgot my watch, the clock on the bank said 7:15 as I passed by, and the one on the village hall read 7:35. Assuming that both were correct, what time might I have expected to get to work?
2. When my wife and I celebrated our 20th anniversary, our daughter was just 20% of the age of our oldest son, but now, as we celebrate our 35th anniversary, she is 60% of his age. How old is she now?
3. A two digit number has in the ten's column a digit half as large as the digit in the unit's column. This two digit number equals the square of the digit in the unit's column. Find the number.
4. Sixty-four players took part in a knockout tennis tournament. In each match, the loser is eliminated. In each match, the players play until one of them wins three sets. In this particular tournament, the number of matches that ended at 3-1 was double the number that ended 3-0 and half the number that ended 3-2. How many SETS were played in the tournament?
5. A little girl said, "I am five years old, Grandpa. How old are you?"
The retired mathematics teacher said, "Your father is eleven times as old as you are, and I am as many years old as he will be when you are one-third my present age." How old is grandpa?
The retired mathematics teacher said, "Your father is eleven times as old as you are, and I am as many years old as he will be when you are one-third my present age." How old is grandpa?
6.A professor saw a man digging a hole at a construction site. "How much deeper are you going?" he asked. Knowing where he was working, the digger replied, "I am one-third done; and when I am finished, the top of my head will be twice as far below ground as it now is above ground." The professor said, "I'll need to know your height if I'm to figure the answer to my question." The man then said that he was five feet, ten inches tall. How deep will the hole be when it is finished?
7. Two candles of equal length start burning at the same time. One of them will burn for three hours, the other for four hours. How long, in hours and minutes, will they have burned when one is twice the length of the other?
8. Depending on other work in the shop, the printing and counting of all papers in a workplace on a single day can be run on one of three machines, A, B, or C. A can do the job in 1/3 of the time that B can do it; and B can do it 3/4 of the time that C requires. When needed, all three machines can be used, in which case the job takes 1 hour and 15 minutes. How long (hours and minutes) does it take on machine C alone?
9. An automobile leaves City A by a highway to City B. Traveling non-stop, they average 56 mph. Eight hours later, a private place averaging 128 mph leaves City A flying above the same highway as a route. How long (Hours and minutes) will the car have been driving when the plane overtakes it? (Assume that the highway will only run straight for the car for the rest of it's trip.)
10. Accept the following hypotheses:
-Full professors are old creatures.
-Some full professors are good teachers.
-Some old creatures receive Social Security checks.
-No goats receive Social Security checks.
Then identify each of the following conclusions as valid or invalid:
-Some good teachers are old creatures.
-Some good teachers receive Social Security checks.
-No full professors are old goats.
-Some full professors are old goats.
(All conclusions must be identified correctly to receive a point.)
-Full professors are old creatures.
-Some full professors are good teachers.
-Some old creatures receive Social Security checks.
-No goats receive Social Security checks.
Then identify each of the following conclusions as valid or invalid:
-Some good teachers are old creatures.
-Some good teachers receive Social Security checks.
-No full professors are old goats.
-Some full professors are old goats.
(All conclusions must be identified correctly to receive a point.)
...PM me the answers if you so choose to take the dreadful test. wink I'll send you your score and you can show off or whatever. cool
