BHS CalcuSolve 2014.

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Presentation transcript:

BHS CalcuSolve 2014

Good Morning and Welcome to the Brentwood 2014 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. 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. If you need help or further direction, please find a Brentwood Ambassador or see Mrs. Anderson, Mrs. Hagerty, or Ms Greiner. Relax, Have Fun, and Good Luck! 2014 BHS CalcuSolve

Warm Up Answers Pg. 47, What’s the Message? Peanuts Authors Braille Skating Penguin Senator New deal Redhead Emperor Aviator Monster Prophet Pianist Villain general Pg. 29, Names and Numbers Grumpy, Happy, Doc, Dopey, Sneezy, Sleepy, Bashful George Washington, Abraham Lincoln, Thomas Jefferson, Theodore Roosevelt Sight, hearing, touch, taste, smell Virginia, Massachusetts, New Hampshire, New York, Connecticut, Maryland, Rhode Island, Delaware, Pennsylvania, North Carolina, New Jersey, South Carolina, Georgia Dasher, Dancer, Prancer, Vixen, Comet, Cupid, Donner, Blitzen, Rudolph Mercury and Venus Red, orange, yellow, green, blue, indigo, violet New York City, Philadelphia, Washington, D.C. Alberta, British Columbia, Manitoba, New Brunswick, Newfoundland, Nova Scotia, Ontario, Prince Edward Island, Quebec, Saskatchewan, Northwest Territories, Yukon Territory Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune 2014 BHS CalcuSolve

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. 2014 BHS CalcuSolve

Group Question – Round #1 Callie’s mom is 4 times as old as she is. Callie’s brother is 4 years older than Callie. In 11 years, Callie’s age, plus her brother’s age will equal their mother’s age now. Callie’s mom is younger than 60 now. How old is Callie’s brother now? 2014 BHS CalcuSolve

Group Question – Round #1 Solution Answer: Callie’s brother is 17 years old Callie’s age now Callie’s mothers age now Callie’s brother’s age now 11 years from now Callie’s age + her brother’s age 5 20 9 16 + 20 = 36 10 40 14 21 + 15 = 36 12 48 16 23 + 27 = 50 13 52 17 24 + 28 = 52 2014 BHS CalcuSolve

Individual Question – Round #2 Question Megan wrote down all the three digit numbers that can be written using each of the numerals 1,2 and 3 exactly once. What is the difference between the biggest and smallest even numbers Megan wrote?   2014 BHS CalcuSolve

Individual Question – Round #2 Clue Hint: The largest even number you can make is 312 2014 BHS CalcuSolve

Individual Question – Round #2 Solution Answer: 180 All of the numbers Megan can make using 3, 2, and 1 only once: 321 312 231 213 132 123 Largest even number – smallest even number = 312 – 132 = 180 2014 BHS CalcuSolve

Individual Question – Round #3 Question A total of 50 nickels are put into 3 piles so that each pile has a different prime number of nickels. What is the largest possible number of nickels that could be in one pile? 2014 BHS CalcuSolve

Individual Question – Round #3 Clue Hint: One (1) is not a prime number. 2014 BHS CalcuSolve

Individual Question – Round #3 Solution Answer: 43 nickels The first fifteen prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 Pile #1 Pile #2 Pile #3 Total Nickels 2 3 45 50 5 43 2014 BHS CalcuSolve

Individual Question – Round #4 Question A model train is 18 inches long. If it is built with a scale of 1 inch to 2 ½ feet, how long, in feet, is the real train? 2014 BHS CalcuSolve

Individual Question – Round #4 Clue Hint: A 1 inch model train would be 30 inches long in real life 2014 BHS CalcuSolve

Individual Question – Round # 4 Solution Answer: 45 feet 18 x 30 = 540 inches 540 / 12 = 45 feet Model Real Life 1 inch 30 inches (2 ½ feet) 18 inches 540 inches (45 feet) 2014 BHS CalcuSolve

Individual Question – Round # 5 Question Marc and Jared counted 75 SUVs in the parking lot and some Minivans. There are 5 SUVs for every 3 Minivans, how many Minivans are in the parking lot? 2014 BHS CalcuSolve

Individual Question – Round # 5 Clue Hint: There are more than 30, but less than 50 Minivans in the parking lot. 2014 BHS CalcuSolve

Individual Question – Round # 5 Solution Answer: 45 Minivans 75 / 5 = 15 15 x 3 = 45 SUVs 5 75 Minivans 3 45 2014 BHS CalcuSolve

Individual Question – Round # 6 Question Molly read 20% of her book on Monday, 25% of the remainder of her book on Tuesday, 50% of the remainder of her book on Wednesday. After reading on Wednesday, she had 36 pages left. How many pages long was Molly’s book? 2014 BHS CalcuSolve

Individual Question – Round # 6 Clue Hint: Molly’s book has more than 100 pages. 2014 BHS CalcuSolve

Individual Question – Round # 6 Solution Answer: Molly’s book has 120 pages Pages left when starting to read Pages Read Pages left after reading Monday 120 24 (20%) 96 Tuesday 24 (25%) 72 Wednesday 36 (50%) 36 2014 BHS CalcuSolve

Individual Question – Round # 7 Question Leia wants to put a fence around her garden. The width of her garden is 1/3 of the length of her garden. The width is 60 inches. Fencing for the garden comes in 5 ft sections. The gate will be one five foot piece. How many pieces of regualr fencing will she need for her garden? 2014 BHS CalcuSolve

Individual Question – Round # 7 Clue Hint: There are 12 inches in a foot 2014 BHS CalcuSolve

Individual Question – Round # 7 Solution Answer: 7 sections of fencing 6 sections (length) +2 sections (width) 8 sections of fence However, because the gate will also take up 5 feet, you would only need 7 sections of regular fencing Length = 180 in/15 ft Width = 60 in/ 5 ft 2014 BHS CalcuSolve

Individual Question – Round # 8 Question Mari spent 1/5 of her baby-sitting money on bands for her loom. She spends one-third of her remaining money on a new video game. The cost of the video game was $16. How much money did Mari earn from babysitting? 2014 BHS CalcuSolve

Individual Question – Round # 8 Clue Hint: The bands cost more than $10. 2014 BHS CalcuSolve

Individual Question – Round # 8 Solution Answer: $60 Babysitting Money Bands Video game $12 x 5 = $60 $48 $12 $12 $12 $12 $12 $16 $16 $16 $48 2014 BHS CalcuSolve

Group Question – Round # 9 Question Marc went to a buffet with his family for his birthday. The cost of an adult dinner is 1 ½ times the cost of a child’s dinner. The total cost of Marc’s parent’s dinner was the same as the total cost of the dinner for Marc and his 2 siblings. The family spent $72 on dinner. What is the difference between the cost of an adult and child dinner? 2014 BHS CalcuSolve

Group Question – Round # 9 Solution Answer: $6 Adult dinners Child dinners $18 - $12 = $6 $18 $18 $36 $72 $12 $12 $12 $36 2014 BHS CalcuSolve