November Problems
Number Theory | Measurement | Geometry |
Designs, Algebra, and Features | Knowledge, Statistics, and Probability |
Quantity Idea
Start out basic...
Dining Decisions
one. Mrs. Phillpott is a cook with the Thornberry family members. She generally tends to make a 5 pound roast for dinner on Thursdays. She knows that it requires 2 1/2 hrs to cook this roast. Her boss is acquiring a dinner party and she must make much more meals. She decides that she desires fifteen lbs of meat. The situation is always that she only has a single oven and it will not hold a roast bigger than ten pounds. How could she solve this problem? Answer in paragraph form.
Change
two. Sadie went to the store with a $10 bill. She spent $4.76. Give 6 possible ways she could get her change. She cannot use the same number of coins twice. (You cannot say five one particular dollar bills, two dimes, 4 pennies, and then a $5 bill 2 dimes and 4 pennies.) She must use each type of United States coin at least once.
Now try to work this out...
Bagging Potatoes
3. A farmer grows 196 lbs of potatoes. He sells them to a grocer who divides them into five pound and two pound bags. If the grocer uses the same range of five pound and 2 pound bags, how many bags of each did he use?
Mug-Making Mary (from The challenge SOLVER 6)
4. Mary McDonald tends to make mugs in Miami. She can make two sizes of mugs: a small mug that she sells for $2.50 and a large mug that she sells for $5.75. Yesterday Mary made $56. Before she opened her shop in the morning, she had 200 mugs in her inventory. At the end of the day she has 188. How many mugs of each price did she sell?
This will really challenge you...
5. Find out how much per ounce each of these sells for. Then arrange them from the most expensive to the least expensive.
Gas $1.65 per gallon Snapple $1.29 for 16 oz.
Gatorade $1.59 for 20 oz. Lipton Iced Tea $1.19 for 16 oz.
Ocean Spray $2.54 for 30 oz. Evian Water $1.49 for 9 oz.
NyQuil $8.35 for 6 oz. Pepto Bismol $3.85 for 4 oz.
Whiteout $1.39 for .8 oz. Scope $$.99 for 1.five oz.
Measurement
Begin out simple...
Space Measurement
6. An object weighing 5 pounds on Earth will weigh two kilos on Mercury. The Statue of Liberty weighs 225 tons. What would it weigh on Mercury?
Now try to work this out...
Garden
7. Farmer Brown is making a garden 14 1/2 feet long and 8 3/4 feet wide. He puts up a fence 23 1/2 feet long and 17 3/4 feet wide. What is the distance from the fence to the edge of the garden?
This will really challenge you...
TV Time
8. Gretchen is going to "Best Buy" to get a new TV. She already has a cabinet and she wants to be sure that the new TV will fit. Her cabinet is 24 inches wide by 24 inches high by 12 inches deep. She wants to have one inches on each side, 1 inch on top and one inch behind so the TV will slide in easily. Which of these would be her best choice?
Volume of 5280 cu. in. w = 22", h = 20" Volume of 5290 cu. in. d = 10", base and height the same Volume of 5566 cu. in. w = 22", d = 11"
Geometry
Start out basic...
Meow!
9. Draw a cat, but you may only use regular polygons and you must use at least 6 different ones.
Now try to work this out...
Toothpick Fun
ten. Carl is given 24 toothpicks and told to construct a geometric solid. He must use all of the toothpicks. Which solid could he make? Draw a picture to support your reply. How many balls of clay would he need to maintain his structure together?
This will really challenge you...
Painting Problem
11. Brett has an assignment to paint all of the geometric solids for a museum display. His directions are to use the least amount of colors on each solid, but no sides that touch should be painted the same color. Tell how many colors will be needed for each solid: cube, triangular prism, hexagonal prism, octagonal pyramid, pentagonal pyramid. Is it true that the greater the range of sides, the much more colors that are needed? Explain your solution in a few sentences and draw a picture.
Styles, Algebra, And Features
Start out straightforward...
Round Robin
12. Six teams are involved in a round robin tournament. In such a tournament, each team plays every other team once and only once. It does not matter who wins the games. Therefore,
Pandora Necklaces, how many games in all are played? You may want to call your teams A,
Cheapest Pandora Bracelets,B,C OR 1,two,
Discount Pandora Charms,3.
Now try to work this out...
Dots
13. Oblong numbers can be represented by rectangular arrays in which the number of dots in each row is one more than the number of dots in each column. The first 3 oblong numberstwo, 6,
Pandora Bead, and 12are represented below. Show the next 5 oblong numbers. How many dots are needed to represent the tenth oblong amount?
** *** ****
*** ****
****
This will really challenge you...
Lucky Leaf Lettuce
14. Monday, the Produce manager,
Buy Tiffany, Arthur Applegate, stacked the display case with 80 heads of lettuce. By the end of the day, some of the lettuce had been sold. On Tuesday, the manager surveyed the display case and counted the amount of heads that were left. He decided to add an equal range of heads. (He doubled the leftovers.) By the end of the day, he had sold the same amount of heads as Monday.
On Wednesday, the manager decided to triple the number of heads that he had left. He sold the same range that day, too. At the end of this day there were no heads of lettuce left. How many were sold each day?
Info,
Pandora Armband Leder, Stats, And Likelihood
Start out basic...
Car Colors
fifteen. Raheem, Cary, and Jamar are getting a discussion about which color car is the most popular. Raheem says white, Cary says black, and Jamar says silver. They stood at the intersection of Ridge Avenue and Domino Lane for an hour and kept a count. The results were: black=40; silver=60; white=80. Show two different ways that they could display their results.
Now try to work this out...
Brrrrrr!!!!!
16. Here are the average temperatures in Hawaii for 7 weeks in 1999 and the same 7 weeks in 2000. Determine which type of graph would be the most appropriate and make it. Don't forget labels, title,
Tiffany Bracelets, and the correct scale. Justify why you chose that type of graph.
1999 87 92 98 99 98 101 90
2000 91 92 99 102 100 88 89
This will really challenge you...
Randomly Speaking
17. There are an equal number of pennies, nickels,
Cheap Tiffany, dimes, and quarters in a bag. What is the probability that the combined value of the four coins randomly selected with replacement will be $.41? Express your reply as a fraction in simplest form.
November Solutions
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