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Statistics Unit Review Packet 1. Wilber is thinking of a number that is divisible by both 6 and 8. What is the smallest possible number that Wilber could be thinking of? 2. Vera’s favorite apples are $1.99 per pound at the local farmers’ market. She bought 13.5 pounds of apples. How much did she spend? Round your answer to the nearest hundredth. 3. A recipe calls for 8 ounces of chocolate chips in each batch. How many pounds of chocolate chips do you need to make six batches? 4. One wing of a bald eagle is 1.0033 meters across. How wide is the eagle’s wingspan when both wings are open? If nine eagles are flying in a row, then what is the length of their total wingspan when all their wings are open? 5. In 2012, Alexis Sablone won gold medal at the X Games in the Women’s Skateboard Street event. Her scores for each run were 85.6, 72.66, 49.33, and 22.8. What was her average score for the event? 6. International Shipping and Domestic Mail Services both ship packages. The International Shipping trucks will only carry loads of 27 packages. In contrast, The Domestic Mail Services trucks will only carry loads of 18 packages. If both businesses ended up shipping the same number of packages this morning, what is the minimum number of packages each company must have shipped? How many trucks did International Shipping fill up? How many trucks did Domestic Mail Services fill up? 7. Evaluate the expression: (6 + 12) ÷ 3 + 3 8. The local weatherman in Madison, Wisconsin tracked the amount of rain that fell during the first week of April. The following data shows the daily rainfall from Sunday through Saturday: 3.175 in, 2.09 in, 1.0018 in, 5.04 in, 3.7 in, 8.25 in, and 2.765 in. What was the total rainfall for the first week of April? 9. Isaiah wants to buy 28 bolts from a bin at the Hardware Depot. Each bolt costs $0.03. How much will Isaiah pay for the bolts? The tax rate is 10.5% in his state. How much tax will he pay? Round your answer to the nearest hundredth. How much is his total with tax? 10. The perimeter of a square is 7.572 inches. What is the measure of each side? 11. The local movie theater sells about 2,700 popcorn buckets a week. The theater manager needs to place an order for popcorn buckets. Each package contains 48 buckets. How many packages should the manager order to make sure she has enough for next week? 12. Breyanna is filling 2.7 ounce bottles with a lavender scented lotion she made for gifts. She was able to fill 9.5 bottles. How many ounces of lavender scented lotion did she make? 13. There are 6 skateboarders. Each has one helmet and 4 pads. How much protective gear is that altogether? Write this problem in two different ways. Solve the problem. 10 5 14. Tory lives 12 mile from the park and 8 mile from her school. How much closer does she live to the school than she lives to the park? 15. Debbie is connecting three garden hoses to make one longer hose. The blue hose is 6.25 feet long, the green hose is 5.855 feet long, and the yellow hose is 7.5 feet long. Find the actual total length. 16. Tory runs a restaurant and buys her produce from the local farmer’s market. This week she spent $183.34 on lettuce that cost $0.89 per pound. How many pounds of lettuce did she purchase? 17. At the Winter Games, one of the events is the snowboard cross. The top five contenders had the following run times: 1.243 min, 1.3 min, 1.43 min, 1.28 min, and 1.519 min. What is the average run time in minutes? 3 1 18. Pauline has 9 4 gallons of gas left in her car’s tank. She used 3 of it to visit her grandmother. How many gallons of gas did she use? How many gallons of gas does she have left after her trip? 19. Angel is on vacation in Colombia with his family. He rented a car to take his family sight-seeing. He drove a total of 384.9 kilometers during his vacation. To convert kilometers to miles, he needs to multiply the total kilometers by 0.62. How many miles did Angel drive? 20. Adrianna is making flower bouquets. She has 60 roses and 80 daisies. If Adrianna wants to make all the arrangements identical and have no flowers left over, what is the greatest number of flower bouquets that she can make? How many roses will be in each bouquet? How many daisies will be in each bouquet? 21. Joel earns a gross salary of $40,560 per year. How much does he earn per month? How much does he earn per week? 22. Write the following as a numerical expression: Divide the sum of 8 and 40 by 2, then add 7. Solve the expression. 23. Burger-Rama has circular tables in their outdoor eating area. The circumference of the table top is 16.642 meters. The formula for circumference of a circle is 𝐶 = 𝜋𝑑. What is the diameter of the circle? (Use 3.14 for 𝜋.) 24. Five swimmers are entered into a competition. Their results were 9.8 sec, 9.75 sec, 9.805 sec, 9.719 sec, and 9.81 sec. What is the difference in time between the fastest and the slowest swimmers? 5 5 25. David purchased 10 pounds of granola. Thomas purchased 11 pounds of 8 6 granola. Find the total weight of their purchases. 26. A swimming pool at the local park is 25 feet long, 20 feet wide, and 5 feet deep. How much water can the pool hold? 27. Lorena loves to collect mineral samples. She has an amethyst that has a mass of 110.125 grams. Her opal sample has a mass of 80.4902 grams. Her favorite, hematite, has a mass of 195.68 grams. What is the total mass of the three samples? What is the difference between the heaviest and the lightest samples? 28. A triangle has a base of 4.3 cm and a height of 7.12 cm. Use the formula 𝐴 = 1 1 𝑏ℎ to find the area of the triangle. (Hint: = 0.5) 2 2 2 29. Last year, Priscilla’s doctor measured her height and she was 4 feet tall. This 5 9 year, she measured 4 6 feet tall. How much did she grow within the past year? 30. Erika’s new SUV holds 19.9 gallons of gas and gets an average of 15.75 miles per gallon. How many miles can she expect to go on a full tank of gas? 31. Tara works part-time afterschool at the Shoe Boutique. She makes $8.50 an hour as a sales clerk. Her last paycheck shows that she worked 38.6 hours over the past two weeks. How much did Tara make before taxes? 32. A club has 42 girls and 70 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make? How many girls will be in each group? How many boys will be in each group? 33. The chart below shows the average number of points scored by the top ten ranking teams during the 2010 World Cup Soccer games. What is the average among these ten teams? Rank 1 2 3 4 5 6 7 8 9 10 Team Brazil Italy Argentina Germany England Spain France Germany Netherlands Uruguay Average Points 2.23 1.9 1.72 1.93 1.64 1.77 1.59 2.08 1.78 1.4 34. Plot the ordered pairs (2, 4) and (5, 4). Plot one more point to create a right triangle and provide the coordinates of the point. 35. Keira weighs (0.049 x 103) kilograms. Evaluate the expression to find Keira’s weight in kilograms. How many grams does she weigh? 3 36. John and Trisha each bought 2 bags of chocolate. John has 1 8 bags of chocolate left over. Trisha has 1.4 bags of chocolate left over. Who ate more chocolate and how much did that person eat? 37. The town plans building a new statue that will sit on top of a cement platform. The figure below shows the model of the platform. It will be made out of cube shaped bricks that measure 1 feet long on each side. What is the total volume of the platform? 38. Write the first 5 numbers in the first pattern which starts at 0 and follows the rule of “adding 4”. Write the first 5 numbers in the second pattern which starts at 0 and follows the rule of “adding 5”. What do you notice about the numbers in the two sequences? How do the rules affect the pattern? Write a list of ordered pairs using the two sequences of numbers where the first quantity in each ordered pair comes from the first sequence. Graph the points on a coordinate grid. 39. Pam is 5 feet 4 inches tall. Julie is 70 inches tall. Who is taller? By how much? 1 2 40. Derrick ate 3 of his jelly beans. He gave 5 of his remaining jelly beans to his cousin and put the rest of the jelly beans equally into 3 bins. If each bin contained 2 jelly beans, how many jelly beans did he have in the beginning? Answer Key 1. 24 2. $26.87 3. 3 lbs. 4. 2.0066 m; 9.0297 m 5. 57.5975 points 6. 54 packages, 2 trucks, 3 trucks 7. 9 8. 26.0218 inches 9. $0.84; $0.09; $0.93 10. 1.893 in 11. 57 packages 12. 25.65 oz 13. 6(1 + 4) 6x1+6x4 30 5 14. 24 mile 15. 19.605 feet 16. 206 lbs 17. 1.3544 min 1 1 18. 3 4 gal, 6 2 gal 19. 238.638 mi 20. 20 bouquets, 3 roses, 4 daisies 21. $3,380 per month; $780 per week 22. [(8 + 40) ÷ 2] + 7; 31 23. 5.3 m 24. 0.091 sec 11 25. 22 24 pounds 26. 2,500 cubic feet 27. 386.2952 g; 115.1898 g 28. 15.308 cm2 11 29. 18 ft. 30. 313.425 mi 31. $328.10 32. 14 groups, 3 girls, 5 boys 33. 1.804 points 34. Answers will vary 35. 36. 37. 38. 49 kg; 49,000 grams 5 John; 8 or 0.625 66 ft3 “Add 4” Sequence: 0, 4, 8, 12, 15 “Add 5” Sequence: 0, 5, 10, 15, 20 39. Julie; 6 inches 40. 45 jelly beans