Due November 1st at noon
1. At 11:20, what is the angle formed by the hands on a clock? Assume that the hour hand moves gradually, so the hour hand is between 11 and 12. (Yes, that is harder.) Partial credit given for the hour hand not moving.
2. Before heading out to do some Trick-or-Treating, Alexa had to choose which container to take with her to hold all of her candy. She had her plastic, spherical pumpkin with a radius of 5” from last year, or a bag she found in the kitchen. The bag measured 5” by 9” by 11.5” and had the same shape as a rectangular prism when it was open. Which of these containers has the greatest volume?
3. As Alexa’s mother was waiting for her to return from Trick-or-Treating, she started looking at the nutrition information on the bag from the candy she was distributing. According to this bag of candy bars, a serving size is equivalent to four candy bars, there are eight servings per bag and 200 calories per serving. According to this information, how many calories are in one candy bar? How many calories are in an entire bag of candy bars?
4. When Alexa returned home from Trick-or-Treating she spread all of her candy out on the kitchen table. She noticed that she had 14 Tootsie Pops, but she had exactly three different colors of Tootsie Pops (brown, red and purple). She had exactly twice as many purple as brown and less than 25% of the 14 Tootsie Pops were brown. According to this information, what is the average value of the possible amounts of red Tootsie Pops she could have had?
5. If every fourth trick-or -treater is a vampire, and every 6th, robot, how many of each will you see if seventy-five trick -or treaters come to your door?
6. Icha-Bo has searched the pumpkin patches and found 3 “perfect” spherical pumpkins. He measured and recorded the circumference of each pumpkin. From the least to greatest pumpkin the circumferences measured 22, 44 and 66 inches. What is the volume, in cubic inches, of each of the pumpkins? Use π = 3.14.
7. Icha-Bo noticed the ratio of the circumferences of the pumpkins was 22:44:66 from the least to the greatest circumference. What is this ratio in its simplest form?
8. The mean weight of 9 pumpkins is 16 pounds. One of the pumpkins is removed. The mean weight of the remaining 8 pumpkins is 13 pounds. What is the weight of the pumpkin that was removed, in pounds?
9. The weights of the 8 remaining pumpkins are 11, 12, 14, 18, 15, 14, 8, 12 pounds. What is the median pumpkin weight?
10. A different set of 9 pumpkins has been divided into two groups. The mean weight of the 5 pumpkins that each weighs more than 10 pounds is 12 pounds. The mean weight of the 4 pumpkins that each weighs less than 10 pounds is 3 pounds. What is the mean weight per pumpkin for this group of 9 pumpkins?
11. Emma wants to be a princess for Halloween. When she gets to the costume store she realizes there are many options. There are five different princess crowns, eight different princess dresses, and three different pairs of princess shoes. How many possible combinations are there for Emma’s princess costume consisting of one crown, one dress and one pair of shoes?
12. Michael and Oliver went trick-or-treating and came back with A LOT of candy. However, when Emma gets back they find that, not only does she have more candy, she has better candy than they do. Emma agrees to trade some of the candy but they have to follow her trading rules.
3 smarties packs = 1 fun-size candy bar
2 tootsie pops = 1 skittles pack
15 candy corn = 1 smarties pack
5 candy corn = 2 bit-o-honeys
3 tootsie pops = 1 fun-size candy bar
Based on Emma’s rules, what item is the most valuable?
13. Based on Emma’s exchange rates above, how many of the least valuable item is required to get one of the most valuable item?
14. Thomas dressed us as a skeleton. He went out to frighten the kids on Halloween night. He fell down, and you guessed it, he suffered some broken bones. He went to see a doctor the following day. The doctor said it would take seven weeks for him to heal. In what month would Thomas be healed?
15. One of my favorite cartoons is Charlie Brown and the Great Pumpkin. Last year, the world record for the largest pumpkin was broken. Find the weight of the world’s largest pumpkin in grams.
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