Bowling Buddies
Anita, Cheri, Miguel, and Jake went bowling one night. For fun, they decided to pit the girls against the boys, with the highest total score for each team winning.
Anita scored 18 less than Miguel. Cheri's score was 16 less than twice Anita's. Cheri outscored Jake by 21.
If the total scored by all four kids was 529, what was the final score of the match?
Dimensions
A rectangle has an area of 147 ft2. The length is three times longer than the width. What are the length and the width of the rectangle?
Who likes which snack?
-Cindy does not like sweet treats.
-Carl loves fruit.
-Catherine does not like cantaloupe or cinnamon rolls.
-Chuck likes cake.
-Carrie likes icing.
-Someone likes cookies, and another likes cereal.
Say What?!?
The sum of a certain number of consecutive integers, starting with -22, is 72. What is the largest number in the group of integers?
Tuesday, January 27, 2009
Thursday, January 22, 2009
Problems of the Week--Inauguration Day
Submit the answers by 8:15 am on Monday morning. I forgot to post these. I wrote them over Winter Break...
1. The 2009 inauguration is expected to see record levels of attendance. Lyndon B Johnson’s inauguration currently holds the record for attendance at 1.2 million people. Originally, attendance for the 2009 inauguration was projected to be as high as 5 million. Now, based on more accurate data, the projected attendance is around 2 million. What is the positive difference between the originally estimated percent increase over the current record attendance and the newly estimated percent increase over the current record attendance? Round your answer to the nearest whole number.
2. The National Mall is 300 acres. It stretches 1.9 miles from the Capitol building to the Lincoln Memorial. This will be the first time in history that the entire mall will be open for an inauguration. If attendance is the estimated 2 million people and all of the people spread out evenly over the mall, how many square feet will each person get? Note that 1 acre is equal to 43,560 square feet. Express your answer as a decimal to the nearest tenth.
1. The 2009 inauguration is expected to see record levels of attendance. Lyndon B Johnson’s inauguration currently holds the record for attendance at 1.2 million people. Originally, attendance for the 2009 inauguration was projected to be as high as 5 million. Now, based on more accurate data, the projected attendance is around 2 million. What is the positive difference between the originally estimated percent increase over the current record attendance and the newly estimated percent increase over the current record attendance? Round your answer to the nearest whole number.
2. The National Mall is 300 acres. It stretches 1.9 miles from the Capitol building to the Lincoln Memorial. This will be the first time in history that the entire mall will be open for an inauguration. If attendance is the estimated 2 million people and all of the people spread out evenly over the mall, how many square feet will each person get? Note that 1 acre is equal to 43,560 square feet. Express your answer as a decimal to the nearest tenth.
Wednesday, January 14, 2009
Problems of the Week
Sorry for the delay. I will accept the answers by midnight on Friday, January 16th.
Football – The Problems
January 12, 2009
The minimum starting annual salary for rookies in the NFL is $295,000. The minimum annual salary is $370,000 for second year players and $445,000 for third year players. For a player earning the minimum salary for their experience, what is the positive difference between the percent increase the $75,000 represents from the first to second year and the percent increase the $75,000 represents from the second to third year? Round your answer to the nearest tenth.
There are 32 teams in the NFL. Sixteen of the teams are in the American Football Conference (AFC) and the other 16 teams are in the National Football Conference (NFC). At the beginning of the season, Julia tried to predict the teams that would be in each conference's championship by randomly drawing 4 teams (2 AFC teams and 2 NFC teams) from a hat. What is the probability that the 4 teams she selected are the same four teams that will be in the conferences' championships? Express your answer as a common fraction.
In football, teams can score 6 points with a touchdown, 3 points with a field goal or 2 points with a safety. Additionally, after a touchdown, teams can score 1 bonus point with a field goal kick or 2 bonus points with a 2-point conversion. The final score of a particular football game was 23 to 11. If every touchdown is followed with a successful bonus point attempt (1 or 2 points), how many different scoring combinations could have resulted in the losing team's 11 points?
Using the remaining teams, I have created a formula for determining the Super Bowl Champion. Based on their ranking in each category, a team is awarded points. The highest ranked team receives a 1, and second ranked team receives a 2, and so on. In the case of a tie, give both teams the lower score. For example, if two teams are tied for second in a category, give both teams 2 points. The lowest total score is the team that should win the Super Bowl. Using this formula, which team should win?
Football – The Problems
January 12, 2009
The minimum starting annual salary for rookies in the NFL is $295,000. The minimum annual salary is $370,000 for second year players and $445,000 for third year players. For a player earning the minimum salary for their experience, what is the positive difference between the percent increase the $75,000 represents from the first to second year and the percent increase the $75,000 represents from the second to third year? Round your answer to the nearest tenth.
There are 32 teams in the NFL. Sixteen of the teams are in the American Football Conference (AFC) and the other 16 teams are in the National Football Conference (NFC). At the beginning of the season, Julia tried to predict the teams that would be in each conference's championship by randomly drawing 4 teams (2 AFC teams and 2 NFC teams) from a hat. What is the probability that the 4 teams she selected are the same four teams that will be in the conferences' championships? Express your answer as a common fraction.
In football, teams can score 6 points with a touchdown, 3 points with a field goal or 2 points with a safety. Additionally, after a touchdown, teams can score 1 bonus point with a field goal kick or 2 bonus points with a 2-point conversion. The final score of a particular football game was 23 to 11. If every touchdown is followed with a successful bonus point attempt (1 or 2 points), how many different scoring combinations could have resulted in the losing team's 11 points?
Using the remaining teams, I have created a formula for determining the Super Bowl Champion. Based on their ranking in each category, a team is awarded points. The highest ranked team receives a 1, and second ranked team receives a 2, and so on. In the case of a tie, give both teams the lower score. For example, if two teams are tied for second in a category, give both teams 2 points. The lowest total score is the team that should win the Super Bowl. Using this formula, which team should win?
Sunday, January 4, 2009
Problems of the Week--1/5/2009
Welcome Back!!! Answers are due by noon on Friday, January 9, 2009
Cool Riddles
All the words referred to in the riddles are from this list:
ice, hat, snow, cold, cool, sleet, freeze, snowman, iceberg, glacier, subzero, blizzard, refrigerator, precipitation
1. I am a word. The number of my letters equals 4% (1/25) of the number of years in two centuries. I am _______________.
2. I am the number of letters in a word from the list above. There are only two words in the above list that have fewer letters than that word. I am _______________.
3. I am a word. The number of my letters equals the square root of a gross. A dictionary might help you realize that I am _______________.
4. My name means less than nothing.
(Can that be really so?)
But when you freeze
Just think “degrees”
And then my name you’ll know!
I am _______________.
5. I am a word. The number of my letters equals 1/15th of the number of letters in all of the above words combined. I am _______________.
6. I am the number of letters in a word from the list above. If you take the number of letters in the longest word, add two, and then divide by the number of letters in the smallest word, you get the number of letters in my word. I am _______________.
7. I am a word. There are four words with the same number of letters, and I am one of them. I last longer than anything else on the list, other than the refrigerator. You should realize that I am _______________.
8. Find the item that could be purchased at Dairy Queen. Take the number of letters and divide by two. The number of words with this number of letters is the number of letters that I have. I share more letters with the first word in this puzzle than any other word with the same number of letters as me. I am _______________.
Cool Riddles
All the words referred to in the riddles are from this list:
ice, hat, snow, cold, cool, sleet, freeze, snowman, iceberg, glacier, subzero, blizzard, refrigerator, precipitation
1. I am a word. The number of my letters equals 4% (1/25) of the number of years in two centuries. I am _______________.
2. I am the number of letters in a word from the list above. There are only two words in the above list that have fewer letters than that word. I am _______________.
3. I am a word. The number of my letters equals the square root of a gross. A dictionary might help you realize that I am _______________.
4. My name means less than nothing.
(Can that be really so?)
But when you freeze
Just think “degrees”
And then my name you’ll know!
I am _______________.
5. I am a word. The number of my letters equals 1/15th of the number of letters in all of the above words combined. I am _______________.
6. I am the number of letters in a word from the list above. If you take the number of letters in the longest word, add two, and then divide by the number of letters in the smallest word, you get the number of letters in my word. I am _______________.
7. I am a word. There are four words with the same number of letters, and I am one of them. I last longer than anything else on the list, other than the refrigerator. You should realize that I am _______________.
8. Find the item that could be purchased at Dairy Queen. Take the number of letters and divide by two. The number of words with this number of letters is the number of letters that I have. I share more letters with the first word in this puzzle than any other word with the same number of letters as me. I am _______________.
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