BHS CalcuSolve 2015 2015 BHS CalcuSolve

Good Morning and Welcome to the Brentwood 2015 CalcuSolve Competition! We hope you have a challenging and successful day! While we are waiting for all the teams to arrive, please: 1. Sit at the table to which you were assigned. 2. Make a nametag. Include your first and last name, school name, and team letter on the tag. Please wear the nametag during the entire competition. 3. Each person on your team should take one stapled packet of individual answer sheets and complete all the information on EVERY sheet. Print neatly! Your team letter is displayed on the sign at your table. 4. Begin to practice for the competition by working on the Math Brain Warm-ups that are in your folder. We will go over the answers just before we begin the actual competition. 5. If you need help or further direction, please find a Brentwood Ambassador or see Mrs. Anderson, Mrs. Hagerty, or Ms. Rothey. Relax, Have Fun, and Good Luck! 2015 BHS CalcuSolve

Uncle Kent- frying bacon Aunt Helen- ocean Joyce- hyacinths Ed- car Warm Up Answers  Scent Survey: Lesson 25 Uncle Kent- frying bacon Aunt Helen- ocean Joyce- hyacinths Ed- car Aunt Shirley-pine Aunt Brenda- roses Grandma Frances- baby powder Grandma Hope- lilacs Grandpa John- grass Grandpa Sam- baking bread Baby-sitting, Lesson 16 Kristen- Wednesday- business appointment Dara- Friday- hockey game Chad- Saturday- friends’ anniversary 2015 BHS CalcuSolve

There will be seven Individual Questions. SCORING There will be seven Individual Questions. You will be given 5 minutes to earn 5 points for a correct answer on each Individual Question. OR You may wait for a clue, work an extra 2 minutes and earn 3 points for a correct answer on each Individual Question. There will be two Group Questions. Your team of students will be given 7 minutes to earn 10 points for a correct answer on each Group Question. 2015 BHS CalcuSolve

Group Question – Round #1 On Friday night, John’s family ate ½ of a pepperoni pizza. For lunch on Saturday, John ate 1/3 of the remaining pizza. For dinner on Saturday, John ate ½ of the remaining pizza. What fraction of the whole pizza did John eat for dinner on Saturday? Write your answer as a fraction. 2015 BHS CalcuSolve

Group Question – Round #1 Solution John ate 1/6 of the whole pizza on Saturday night. John ate 1/3 of the remaining pizza Saturday for lunch. Family ate ½ Friday night. John ate ½ of the remaining pizza for dinner Saturday. 2015 BHS CalcuSolve

Individual Question – Round #2 Question A jet travels 3,333 miles in 6 hours. If it maintains the same rate of speed, how many hours will it take the jet to travel 5,555 miles? 2015 BHS CalcuSolve

Individual Question – Round #2 Clue Hint: The jet travels between 500 and 600 miles per hour. 2015 BHS CalcuSolve

Individual Question – Round #2 Solution Answer: 10 hours 3,333 miles / 6 hours = 555.5 miles per hour 5,555 miles / 555.5 mph = 10 hours 2015 BHS CalcuSolve

Individual Question – Round #3 Question Cami takes a field trip to Round Hill Farm with her class. She counts a total of 25 animals in the meadow. Some of the animals are sheep and some are chickens. Cami counts a total of 76 legs. How many sheep are in the meadow? 2015 BHS CalcuSolve

Individual Question – Round #3 Clue Hint: Sheep have 4 legs, chickens have 2 legs 2015 BHS CalcuSolve

Individual Question – Round #3 Solution Use a guess and check strategy Sheep Chickens Total Animals Total Legs 10 (40 legs) 15 (30 legs) 25 70 legs 9 (36 legs) 16 (32 legs) 68 legs 11 (44 legs) 14 (28 legs) 72 legs 12 (48 legs) 13 (26 legs) 74 legs 13 (52 legs) 12 (24 legs) 76 legs 2015 BHS CalcuSolve

Individual Question – Round #4 Question The sum of 3 consecutive numbers is 111. What is the smallest of the three numbers? 2015 BHS CalcuSolve

Individual Question – Round #4 Clue Hint: 1,2,3 and 23,24, 25 are examples of consecutive numbers. 2015 BHS CalcuSolve

Individual Question – Round # 4 Solution The smallest number is 36. Use a guess and check strategy. Number 1 Number Total 30 31 32 93 33 34 99 36 37 38 111 2015 BHS CalcuSolve

Individual Question – Round # 5 Question The area of a rectangle is 150 square feet. The perimeter of the same rectangle is 50 feet. What is the difference between the length and width of the rectangle in feet? Remember to label your answer! 2015 BHS CalcuSolve

Individual Question – Round # 5 Clue Hint: Area = length x width Perimeter = add up all of the sides 2015 BHS CalcuSolve

Individual Question – Round # 5 Solution Answer: 5 feet 15 feet – 10 feet = 5 feet Length Width Area Perimeter 12 feet 16 feet 192 feet2 56 feet 11 feet 15 feet 165 feet2 52 feet 10 feet 150 feet2 50 feet 2015 BHS CalcuSolve

Individual Question – Round # 6 Question Dante has a baseball card collection that he wants to arrange in an album. He can arrange his album with 3 cards per page and not have cards left over. Dante can arrange his album with 5 cards per page and not have cards left over. He can also arrange his album with 7 cards per page and not have any cards left over. What is the smallest number of baseball cards Dante could have?   2015 BHS CalcuSolve

Individual Question – Round # 6 Clue Hint: A common multiple of 3 and 5 is 15. 2015 BHS CalcuSolve

Individual Question – Round # 6 Solution Answer: 105 baseball cards Find a common multiple of 3, 5, and 7 3: 3, 6, 9,12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105 2015 BHS CalcuSolve

Individual Question – Round # 7 Question Lucy babysits for her younger brother and sister. Her parents pay her $10 per hour for any time up at 8:00 PM, and $7 per hour for any time after 8:00 PM. Yesterday, Lucy’s parents went to a wedding and left at 3:30 PM. If Lucy earned $62.50, what time did Lucy’s parents come home? 2015 BHS CalcuSolve

Individual Question – Round # 7 Clue Hint: Lucy’s parents came home before midnight. 2015 BHS CalcuSolve

Individual Question – Round # 7 Solution Lucy’s parents came home at 10:30 PM. From 3:30 to 4:00, Lucy would earn $5. From 4:00 to 8:00, Lucy would earn 4 X $10 or $40. She earns a total of $45 babysitting from 3:30 – 8:00. Subtract $45 from $62.50 and you get $17.50. Lucy earned $17.50 babysitting after 8:00. She would earn $14 babysitting from 8:00 – 10:00. She earned $3.50 babysitting after 10:00, which would be an extra half hour. 2015 BHS CalcuSolve

Individual Question – Round # 8 Question The Pittsburgh Slugger’s baseball team is selling raffle tickets to raise money for new uniforms. Joe, Elijah, and Rocco sell a total of 120 tickets. Elijah sells 2 times as many tickets as Joe, and Rocco sells 2 ½ times as many tickets as Elijah. How many more tickets does Rocco sell than Joe? 2015 BHS CalcuSolve

Individual Question – Round # 8 Clue Hint: Joes sells less than 20 tickets.   2015 BHS CalcuSolve

Individual Question – Round # 8 Solution Joe sells 15 tickets. Joe Elijah 120 Rocco There are 8 equal segments. Divide 120 by 8 to see that each segment is 15 tickets. Joe sells 15, Elijah sells 30, and Rocco sells 75. Rocco sells 60 more tickets than Joe. 2015 BHS CalcuSolve

Group Question – Round # 9 Question The Willis Tower, previously known as The Sears Tower, in Chicago is about 1,460 feet tall. Mr. Bear takes the elevator ¾ of the way up to his office. He then takes an elevator 1/5 of the remaining way down to have lunch in the cafeteria. How many feet off of the ground is the cafeteria where Mr. Bear has lunch? Write your answer in feet. 2015 BHS CalcuSolve

Group Question – Round # 9 Solution The cafeteria is 876 feet off of the ground. ¾ of 1460 = 1,095 feet. Mr. Bear’s office is 1,095 feet off of the ground. The cafeteria is 1/5 of the way down from Mr. Bear’s office. 1/5 of 1,095 is 219 feet. 1,095 feet – 219 feet = 876 feet 2015 BHS CalcuSolve