Merry Christmas Math Problems
Answers are now due January 3rd by noon. Have a wonderful Winter Break. I will be in Disney World!
1. If candy canes cost .89 a dozen, how much would it cost to buy candy canes for a school with 400 students?
2. Macy's has hired 400 store Santas. If each Santa sees 125 children a day for 30 days, how many children are seen by Macy's Santas?
3. One group of carolers goes to every 6th house in a neighborhood, and another goes to every 8th house. Which house is the first house that they would both have visited?
4. Mr. Green is putting lights around 8 windows; each window is 3.5 feet wide and 5 feet long. How many feet of lights does he need?
5. 10 elves each made 10 xylophones. Each xylophone had 10 keys. They did this for 10 days. How many keys were made by elves? Show in exponential form and solve.
6. Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes for preheating), how many cookies did Amy make?
7. Beth is making gingerbread men. She uses 2 gumdrops for eyes and 3 gumdrops for buttons for each gingerbread man. She buys 4 packages of gumdrops, each with 120 gumdrops in it. How many dozens of gingerbread men can she make?
8. Brian wants a 7.5 foot Christmas tree. Which of these trees is a better buy? Explain.
A.) All trees $42
B.) $6 a foot
C.) First 4 feet $22; each additional foot $6
9. K-Mart is open Monday through Saturday from 8:00 AM to midnight and Sunday from 10:00 AM to 8:00 PM. How many hours is it open in one week?
10. Each large roll of ribbon has 20 yards. Each package takes 3 feet of ribbon. How many packages can be wrapped by one roll?
Monday, December 15, 2008
Monday, December 8, 2008
Problems of the Week--12/8/2008
Answers are due by noon on Friday. No Problems next week due to exams.
1. Madi and Sydney are making a snowman when Mr. Little stops by. He notices that the three snowballs have diameters with a ratio of 1:2:3. If the diameter of the smallest sphere (the top) is 18 inches, what is the diameter, in feet, of the largest sphere (the bottom) of the snowman? Express your answer as a decimal to the nearest tenth.
2. What is volume of the middle sphere, in cubic inches? The formula for the volume of a sphere is (4/3)πr3. Express your answer as a decimal to the nearest hundredth.
3. What is the ratio of the volume of the smallest sphere to the volume of the middle sphere? Express your answer in the form a:b.
4. Assuming that our three spheres are placed one on top of the other with no "smushing" or "denting" of the snowballs, how many feet tall is the girls’ snowman?
5. Go to http://snowflakes.barkleyus.com/ and make a snowflake. Email your snowflake to me.
1. Madi and Sydney are making a snowman when Mr. Little stops by. He notices that the three snowballs have diameters with a ratio of 1:2:3. If the diameter of the smallest sphere (the top) is 18 inches, what is the diameter, in feet, of the largest sphere (the bottom) of the snowman? Express your answer as a decimal to the nearest tenth.
2. What is volume of the middle sphere, in cubic inches? The formula for the volume of a sphere is (4/3)πr3. Express your answer as a decimal to the nearest hundredth.
3. What is the ratio of the volume of the smallest sphere to the volume of the middle sphere? Express your answer in the form a:b.
4. Assuming that our three spheres are placed one on top of the other with no "smushing" or "denting" of the snowballs, how many feet tall is the girls’ snowman?
5. Go to http://snowflakes.barkleyus.com/ and make a snowflake. Email your snowflake to me.
Monday, December 1, 2008
Problems of the Week
Black Friday and Cyber Monday…
Answers are dure by noon on Friday, December 5th
1. My wife went to Wal-Mart at 3:30am to be in the store in time for the sales at 5:00am. There were people that camped out in the Wal-Mart from 10:00pm Thursday waiting to purchase a TV at 5:00am on Friday morning. They were a little cranky… Anyways, what is the percent difference between my wife’s waiting time compared to the “campers” waiting time?
2. People were able to make great purchases on expensive items, but there was a limit to the number of these items that the store kept in stock for the sale. There were four flat screens TVs on sale for $988, but the original price was $1199.99. What was the percentage taken off of the original price?
3. On Cyber Monday, the same TV that people were fighting over on Friday for $988 were available for an even lower price of $898. What is the additional percentage taken off of the $988 price?
4. Black Friday was great for Wal-Mart, but bad for other electronics companies. For example, Circuit City shares have fallen 24% since the end of November, when the price war started. If at the end of November one share of Circuit City stock was worth $0.13, what is the price of one share now? (Fun Facts: Circuit City shares were worth $7.98 during November 2007, and $27.29 in November 2006! Ouch!)
5. I wanted to purchase new clothes for my wife, so I looked at kohls.com. Their offer was an additional 15% off and free shipping on purchases over $100. I found a cute jacket that was originally $42, but is on sale at 60% off. Shipping on this item is normally $7.95. How much will I save compared to regular price if I am able to find $100 worth of merchandise to buy in order to receive free shipping and the additional 15% off?
Special Bonus!!! What is the Wal-Mart effect?
Answers are dure by noon on Friday, December 5th
1. My wife went to Wal-Mart at 3:30am to be in the store in time for the sales at 5:00am. There were people that camped out in the Wal-Mart from 10:00pm Thursday waiting to purchase a TV at 5:00am on Friday morning. They were a little cranky… Anyways, what is the percent difference between my wife’s waiting time compared to the “campers” waiting time?
2. People were able to make great purchases on expensive items, but there was a limit to the number of these items that the store kept in stock for the sale. There were four flat screens TVs on sale for $988, but the original price was $1199.99. What was the percentage taken off of the original price?
3. On Cyber Monday, the same TV that people were fighting over on Friday for $988 were available for an even lower price of $898. What is the additional percentage taken off of the $988 price?
4. Black Friday was great for Wal-Mart, but bad for other electronics companies. For example, Circuit City shares have fallen 24% since the end of November, when the price war started. If at the end of November one share of Circuit City stock was worth $0.13, what is the price of one share now? (Fun Facts: Circuit City shares were worth $7.98 during November 2007, and $27.29 in November 2006! Ouch!)
5. I wanted to purchase new clothes for my wife, so I looked at kohls.com. Their offer was an additional 15% off and free shipping on purchases over $100. I found a cute jacket that was originally $42, but is on sale at 60% off. Shipping on this item is normally $7.95. How much will I save compared to regular price if I am able to find $100 worth of merchandise to buy in order to receive free shipping and the additional 15% off?
Special Bonus!!! What is the Wal-Mart effect?
Friday, November 21, 2008
Problems of the Week--11/23/08
Get a head start!
These problems are due in my folder by Wednesday at the end of school, or by Friday noon by email. Have a Happy Thanksgiving!
1. How many distinct factors does 2008 have?
2. What is the sum of the first 2008 integers?
3. The sum of 2008 integers is 6023. What is the value of the smallest integer?
4. Mrs. Roche has planned a dinner for 15 people this Thanksgiving. She bought 22.5 lbs of turkey, plus potatoes, cranberry salad, rolls and all of the traditional holiday food. Unfortunately, her son forgot to tell her that he was bringing three of her friends. If Mrs. Roche wants to feed each person the same amount of turkey that she had originally planned, how much additional turkey must she purchase to accommodate these additional guests? Yes, the babies will eat the same amount as the adults. Express your answer as a decimal to the nearest tenth.
5. Thanksgiving Dinner 2008 is to be a special event for the Skeen family. They have decided to put each of the factors of 2008 into a bowl once. Each factor will be selected by one family member using a random number generator. Each family member will then run or walk a distance in yards that is 10 times the value of the factor he or she chose before eating dinner. What is the total number of yards Mr. Skeen’s family will run or walk before they eat their Thanksgiving dinner?
Special Bonus! Write this number in miles.
These problems are due in my folder by Wednesday at the end of school, or by Friday noon by email. Have a Happy Thanksgiving!
1. How many distinct factors does 2008 have?
2. What is the sum of the first 2008 integers?
3. The sum of 2008 integers is 6023. What is the value of the smallest integer?
4. Mrs. Roche has planned a dinner for 15 people this Thanksgiving. She bought 22.5 lbs of turkey, plus potatoes, cranberry salad, rolls and all of the traditional holiday food. Unfortunately, her son forgot to tell her that he was bringing three of her friends. If Mrs. Roche wants to feed each person the same amount of turkey that she had originally planned, how much additional turkey must she purchase to accommodate these additional guests? Yes, the babies will eat the same amount as the adults. Express your answer as a decimal to the nearest tenth.
5. Thanksgiving Dinner 2008 is to be a special event for the Skeen family. They have decided to put each of the factors of 2008 into a bowl once. Each factor will be selected by one family member using a random number generator. Each family member will then run or walk a distance in yards that is 10 times the value of the factor he or she chose before eating dinner. What is the total number of yards Mr. Skeen’s family will run or walk before they eat their Thanksgiving dinner?
Special Bonus! Write this number in miles.
Monday, November 17, 2008
New Points Rewards System
Instead of receiving direct points for the problems that you complete correctly, all students will have the opportunity to receive points as follows:
1) All students completing more than half of the problems of the week automatically receive 20 points. I can tell the difference between someone randomly writing an answer and actually trying to answer the questions...
2) The top ten students will receive additional points as follows:
First place: 100 points
Second place: 90 points
Third place: 80 points
Fourth place: 70 points
And so on down to tenth place.
The extra rewards (cookies, cake and gift card) as still the same each quarter.
Email me at wlittle@calvertschool.org if you have any questions.
1) All students completing more than half of the problems of the week automatically receive 20 points. I can tell the difference between someone randomly writing an answer and actually trying to answer the questions...
2) The top ten students will receive additional points as follows:
First place: 100 points
Second place: 90 points
Third place: 80 points
Fourth place: 70 points
And so on down to tenth place.
The extra rewards (cookies, cake and gift card) as still the same each quarter.
Email me at wlittle@calvertschool.org if you have any questions.
Problems of the Week
Due Friday, November 21st by noon EST
1. Space junk is debris orbiting Earth that, for the most part, has broken off of spacecrafts or rockets, or has just been abandoned. Some of these items are far enough from Earth that they will remain in orbit forever; however, much of this “junk” will be pulled into Earth’s atmosphere by gravity. On average, one item per day falls victim to gravity. At this rate, in what year will 2300 pieces of space junk enter the atmosphere if you start counting today (November 17, 2008).
Ans: 2015
2. Two pieces of space junk are following the same orbit path, one is 1000 miles behind the other. If the front piece of space junk is traveling at a speed of 17,000 miles per hour and the other piece of space junk is traveling 17,500 miles per hour, how many miles will the front piece of junk travel before the second piece catches up to it?
Ans: 34,000 miles (2 hours)
3. A piece of space of space junk is traveling 16,500 miles per hour 8550 miles above the center of the earth. How many hours does it take the space junk to orbit one full time around the earth? Express your answer as a decimal to the nearest tenth.
Ans: 3.3 hours
4. The number that results when a number is multiplied by itself CANNOT end in which digits? NOTE: Please read this question carefully. What is it called when you multiply a number by itself? Now, which digits cannot be the last digit? For example 2 × 2 = 4, so 4 can be the last digit.
Ans: 2,3,7 and 8
5. This question was submitted (inspired) by Robby Vint.
Robby plays fantasy football at Fox Sports, but I am going to use the scoring system for Yahoo!. He can’t decide whether to start Joe Flacco or Matt Cassel. Both players have played in 9 games. Joe Flacco has thrown for 1649 yards and 7 touchdowns, but has 7 interceptions. He has run for 85 yards and 2 touchdowns. He has also received for 43 yards. Matt Cassel has thrown for 1800 yards and 7 touchdowns, but has 7 interceptions. He has run for 123 yards and 1 touchdown.
According to Yahoo! Sports’ scoring system, each quarterback gets points in the following ways:
Passing Yards (20 yards per point)
Passing Touchdowns (4 points each)
Interceptions (-2 points each)
Rushing Yards (10 yards per point)
Rushing Touchdowns (6 points each)
Reception Yards (10 yards per point)
Based on total number of fantasy points, who should Robby start next week?
Ans: Matt Cassel
1. Space junk is debris orbiting Earth that, for the most part, has broken off of spacecrafts or rockets, or has just been abandoned. Some of these items are far enough from Earth that they will remain in orbit forever; however, much of this “junk” will be pulled into Earth’s atmosphere by gravity. On average, one item per day falls victim to gravity. At this rate, in what year will 2300 pieces of space junk enter the atmosphere if you start counting today (November 17, 2008).
Ans: 2015
2. Two pieces of space junk are following the same orbit path, one is 1000 miles behind the other. If the front piece of space junk is traveling at a speed of 17,000 miles per hour and the other piece of space junk is traveling 17,500 miles per hour, how many miles will the front piece of junk travel before the second piece catches up to it?
Ans: 34,000 miles (2 hours)
3. A piece of space of space junk is traveling 16,500 miles per hour 8550 miles above the center of the earth. How many hours does it take the space junk to orbit one full time around the earth? Express your answer as a decimal to the nearest tenth.
Ans: 3.3 hours
4. The number that results when a number is multiplied by itself CANNOT end in which digits? NOTE: Please read this question carefully. What is it called when you multiply a number by itself? Now, which digits cannot be the last digit? For example 2 × 2 = 4, so 4 can be the last digit.
Ans: 2,3,7 and 8
5. This question was submitted (inspired) by Robby Vint.
Robby plays fantasy football at Fox Sports, but I am going to use the scoring system for Yahoo!. He can’t decide whether to start Joe Flacco or Matt Cassel. Both players have played in 9 games. Joe Flacco has thrown for 1649 yards and 7 touchdowns, but has 7 interceptions. He has run for 85 yards and 2 touchdowns. He has also received for 43 yards. Matt Cassel has thrown for 1800 yards and 7 touchdowns, but has 7 interceptions. He has run for 123 yards and 1 touchdown.
According to Yahoo! Sports’ scoring system, each quarterback gets points in the following ways:
Passing Yards (20 yards per point)
Passing Touchdowns (4 points each)
Interceptions (-2 points each)
Rushing Yards (10 yards per point)
Rushing Touchdowns (6 points each)
Reception Yards (10 yards per point)
Based on total number of fantasy points, who should Robby start next week?
Ans: Matt Cassel
Tuesday, November 11, 2008
Special Problem from Mr. Skeen
You can receive 4 bonus points for answering this question!
Calvert School collected money for UNICEF during Halloween. They collected bills and coins. They collected $1,827 in bills. Some teachers counted the coins, but are having trouble figuring out how much it equals in cash.
The coins broke down like this:
Can you help the teachers figure out how much Calvert donated to UNICEF?
Calvert School collected money for UNICEF during Halloween. They collected bills and coins. They collected $1,827 in bills. Some teachers counted the coins, but are having trouble figuring out how much it equals in cash.
The coins broke down like this:
Can you help the teachers figure out how much Calvert donated to UNICEF?
Saturday, November 8, 2008
Problems of the Week
Problems of the Week: Due Friday, November 14th by noon EST
1. Maclean purchased a new oven. The cost of the oven was $10,258, and she made a down payment of $820. If Maclean pays the same amount each month for 12 months, how much will her monthly payment be? It is a really nice oven...
2. If 4x – 2 = 5x – 3, what is the value of x? Yes, the x values must match.
3. The Merwin family rented a truck for a $52.95 fee plus $0.35/mi. They spent $33.75 to fill the tank with gasoline before returning the truck. If the Merwin family spent $140.95, including gasoline, to rent the truck, how many miles was the truck driven? I don't know why she needed the truck, but maybe she wanted a safe place to carry her guitar.
4. At 10:00am, Mr. Little leaves his house in a car at a rate of 60 mi/h. At the same time, Mrs. Little, driving in another car, leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the cars be 330 miles apart? Don't worry, we will turn around and drive back home once you finish answering the question.
5. If a▲b = ab + b for all non-negative numbers, what is the value of 4▲3?
6. At Chipotle, a burrito with extra guacamole costs $7.75. Three burritos with two extra guacamole costs $21.60. What is the price of each burrito and each extra guacamole?
1. Maclean purchased a new oven. The cost of the oven was $10,258, and she made a down payment of $820. If Maclean pays the same amount each month for 12 months, how much will her monthly payment be? It is a really nice oven...
2. If 4x – 2 = 5x – 3, what is the value of x? Yes, the x values must match.
3. The Merwin family rented a truck for a $52.95 fee plus $0.35/mi. They spent $33.75 to fill the tank with gasoline before returning the truck. If the Merwin family spent $140.95, including gasoline, to rent the truck, how many miles was the truck driven? I don't know why she needed the truck, but maybe she wanted a safe place to carry her guitar.
4. At 10:00am, Mr. Little leaves his house in a car at a rate of 60 mi/h. At the same time, Mrs. Little, driving in another car, leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the cars be 330 miles apart? Don't worry, we will turn around and drive back home once you finish answering the question.
5. If a▲b = ab + b for all non-negative numbers, what is the value of 4▲3?
6. At Chipotle, a burrito with extra guacamole costs $7.75. Three burritos with two extra guacamole costs $21.60. What is the price of each burrito and each extra guacamole?
Monday, November 3, 2008
Problem of the Week
Problems Due Friday, November 7, 2008 at noon, Baltimore, MD time
1. In Mr. Ewen’s class, Chris caught 6 worms. Meleina caught 7 and Sam caught 5. The children put some of their worms in a big jar. The jar then had 8 worms. How many worms were not placed in the jar?
Ans: 10 worms
2. At an amusement park, there are 4 rides that require tickets. The Twister costs 5 tickets, The Slide costs 6, The Rocket costs 3, and The Whipper costs 4. Alex bought 15 tickets. He went on the Rocket first. Then he went on the Twister. How many tickets did he have left?
Ans: 7 tickets
3. Anthony had $600. He spent 2/5 of it on a PS3 player. He then spent 1/3 of the remaining money on a jacket. How much money did Anthony have left?
Ans: $240
4. The MathCounts club had a cupcake sale. They sold 2/3 of their cupcakes in the morning. They sold 1/6 of their cupcakes in the afternoon. They sold 200 cupcakes altogether. How many cupcakes were left to sell?
Ans: 40 cupcakes
5. The teachers went to the AIMS Conference on Monday. Mr. Little arrived early and got the Early Bird Special, $8 for parking. Mr. Doss arrived 15 minutes later and just missed the special. Mr. Doss was parked for 5 hours and paid $26. Mr. Little couldn’t leave until 15 minutes after Mr. Doss in order to keep the Early Bird Special, because the woman working in the parking lot was scary and told him that he had to wait or pay $26. What was the difference in the per hour cost of parking between Mr. Little and Mr. Doss?
Ans: $3.75
1. In Mr. Ewen’s class, Chris caught 6 worms. Meleina caught 7 and Sam caught 5. The children put some of their worms in a big jar. The jar then had 8 worms. How many worms were not placed in the jar?
Ans: 10 worms
2. At an amusement park, there are 4 rides that require tickets. The Twister costs 5 tickets, The Slide costs 6, The Rocket costs 3, and The Whipper costs 4. Alex bought 15 tickets. He went on the Rocket first. Then he went on the Twister. How many tickets did he have left?
Ans: 7 tickets
3. Anthony had $600. He spent 2/5 of it on a PS3 player. He then spent 1/3 of the remaining money on a jacket. How much money did Anthony have left?
Ans: $240
4. The MathCounts club had a cupcake sale. They sold 2/3 of their cupcakes in the morning. They sold 1/6 of their cupcakes in the afternoon. They sold 200 cupcakes altogether. How many cupcakes were left to sell?
Ans: 40 cupcakes
5. The teachers went to the AIMS Conference on Monday. Mr. Little arrived early and got the Early Bird Special, $8 for parking. Mr. Doss arrived 15 minutes later and just missed the special. Mr. Doss was parked for 5 hours and paid $26. Mr. Little couldn’t leave until 15 minutes after Mr. Doss in order to keep the Early Bird Special, because the woman working in the parking lot was scary and told him that he had to wait or pay $26. What was the difference in the per hour cost of parking between Mr. Little and Mr. Doss?
Ans: $3.75
Tuesday, September 9, 2008
5th grade math
The fifth grade students have completed their orientation week and are now in math groups with Mr. Little, Ms. Nessler, Mr. Rossi and Mr. Skeen. Pictured in this post is Mr. Little's math class. The teachers are as excited to dig into the math curriculum as these students! To find out more about the fifth grade math curriculum, visit http://calvertschoolweb.org/wlittle/5th_grade_math.htm.
Saturday, August 30, 2008
Welcome Back!!!
The Calvert Math teachers want to wish you a special welcome back to school. This blog will feature special projects and activities from each grade, as well as a problem of the week which can be completed for Black and Gold points. Use this blog as a portal to websites and blogs created by your math teachers, a home for resources such as study guides, and eventually as a link to your textbook. You can also post suggestions which may be featured on the blog at a later date. Have a great school year!
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