6 th Grade Winter Break Packet: Due January 5, 2016

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1 Name: St. Brigid Catholic Academy Date: #: 6 th Grade Winter Break Packet: Due January 5, 2016 Some of these problems are taken from past state math exams, while others are just review questions. Some of the problems are from fifth grade, so try your best to answer all the questions. DO NOT PANIC if you have trouble This packet will be counted as a project grade. Make sure you show all of your work. 1. Arnold s entire workout consisted of 10 minutes of warm-up exercises, 25 minutes of lifting weights, and 15 minutes of the treadmill. What was the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout? (A) 1: 1 (B) 1: 2 (C) 3: 10 (D) 5: 8 2. Wyatt hiked 6 miles in 2 hours. At this same rate, what is the total number of miles Wyatt could hike in 9 hours? (A) 3 (B) 7 (C) 21 (D) A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 1 gallon of punch? A 3 cups (B) 1 cups (C) 1 cup (D) cup 4. A high-speed elevator can rise 480 feet in 30 seconds. Which expression represents the rate, in feet per minute, of the elevator? (A) (B) (C) (D) A group of students organized a car wash to raise money for a local charity. The students charged $5.00 for each car they washed. In 3 hours, they washed 12 cars. At that rate, how much money could they earn from washing cars for eight hours? (A) $40.00 (B) $60.00 (C) $85.00 (D) $160.00

2 6. What is the greatest common factor of 56 and 92? (A) 2 (B) 4 (C) 7 (D) 8 7. The water level in an ocean bay changes at an average rate of 3 meters per hour. At this rate, how many hours would it take for the water level to change 12 meters? (A) (B) (C) 4 (D) A company paid $48 for 2 cases of printer paper. Each case contained 12 packages of paper. Next month, the company s office manager needs to order 180 packages of the same paper. If the price per package does not change, what would be the total cost of next month s order? (A) $90 (B) $360 (C) $720 (D) $1, The picture below shows the five hours on Maple Street and the five houses on Oak Street: Each house number on Maple Street is six more than the house number to its left. Each house number on Oak Street is eight more than the house number to its left. How much greater is the house number on the last house on Oak Street than the house number of the last house on Maple Street? (A) 2 (B) 6 (C) 8 (D) A leaky faucet is losing water and is filling a 5-gallon bucket every 20 hours. At that rate, how many gallons of water will the faucet leak in 48 hours? Show your work on a separate piece of paper.

3 11. Jason has a coupon for $2.50 off any electronic book from an online book store. If the original price, in dollars, of an electronic book is p and the discounted price, in dollars, is d, which table shows the relationship between p and d? 12. Last year, Chesa made 32 one-cup servings of soup for a school party. This year, she will make two times the amount of soup that she made last year. How many gallons of soup will Chesa make this year? (A) 64 (B) 16 (C) 4 (D) The table below shows different possibilities for the number of games a team would need to win to maintain a certain percentage of wins. Which ratio of the number of games won to the number of games played could also be included in this table? (A) 18: 20 (B) 30: 20 (C) 18: 30 (D) 50: 30

4 14. A recipe for lemonade calls for 1 cup of sugar and 5 cups of water. How much sugar is used per cup of water? (A) cup (B) cup (C) cup (D) cup 15. Sam paid $8.28 for 18 stamps. At this rate, how much would it cost Sam to buy 12 stamps? (A) $2.19 (B) $2.28 (C) $3.72 (D) $ The area of an airplane s wings is related to the airplane s lifting force, which holds the airplane in the air. The table below lists several wing areas and the corresponding lifting forces. The ratio of lifting force to area is equivalent for all pairs in the table. What are the values of x and y? (A) x = 375 square feet and y = 7,500 pounds (B) x = 335 square feet and y = 7,500 pounds (C) x = 375 square feet and y = 6,300 pounds (D) x = 335 square feet and y = 6,300 pounds 17. Simon used 3 pears and 9 apples to make a fruit salad. What was the ratio of the number of pears to the number of apples in the fruit salad? (A) 1: 3 (B) 1: 4 (C) 1: 6 (D) 1: 9

5 18. Bryan s dog eats 8 ounces of dog food each day. Bryan bought a 28-pound bag of dog food. How many 8-ounce servings are in a 28-pound bag of dog food? (A) 14 (B) 56 (C) 224 (D) Residents of a small city voted on whether to allow a construction company to build a new bodega. The number of votes in favor of the bodega center was 4,400. The number of votes against the bodega was 3,600. What percent of the voters were in favor of building the bodega? (A) 25% (B) 55% (C) 39% (D) 60% 20. The table below lists four masses and their corresponding approximate weights on Earth. The ratio of weight to mass is constant. Which statement describes the ratio of weight to mass and the value of x in the table? (A) The ratio is, and x = 90 (B) The ratio is, and x = 110 (C) The ratio is, and x = 90 (D) The ratio is, and x = 110

6 21. A scientist studied the migration patterns of two types of whales. The humpback whales traveled 2,240 miles in 28 days. The gray whales traveled 2,368 miles in 32 days. If the humpback whales had traveled at the same rate for 32 days, how many more miles would they have traveled than the gray whales? (A) 128 (B) 192 (C) 280 (D) Darnell s car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to travel 350 miles. If the price of gasoline was approximately $4.00 per gallon, how much less, to the nearest cent per mile, did it cost to run the car after the mechanic worked on it? Show your work on a separate piece of paper. Answer cent(s) per mile 23. Atlantic Auditorium has 850 seats. Tickets were sold for 816 of the seats. For what percent of the seat were tickets sold? Show your work on a separate piece of paper. Answer % 24. Melanie babysat 2 hours each night for 10 nights. She earned a total of $180 babysitting. Melanie wants to calculate her hourly rate. How much did Melanie earn per hour babysitting? (A) $9 (B) $15 (C) $18 (D) $ Hunter swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1,800 laps. What was his average rate in laps per hour? Show your work on a separate piece of paper.

7 26. The table below shows how much money a grocery store receives for selling different amounts of asparagus. If the unit rate is constant, what are the total sales for 12 pounds of asparagrus? (A) $22.50 (B) $25.00 (C) $30.00 (D) $ Last year, the girls basketball team had 8 fifth-grade students and 7 sixth-grade students. What was the ratio of sixth-grade students to fifth-grade students on the team? (A) 8: 15 (B) 8: 7 (C) 7:8 (D) 15: What is one topic in math that you feel you have mastered this year so far? 29. What is one topic that you are still struggling with this year? 30. What suggestions do you have for Ms. Fong regarding her lessons, teaching style, amount of homework, tests, etc.?