Friendly Hills Team Assignments for Meet 1

SOLUTIONS
1.Rewrite as one fraction a/4 + b/5
You need a common denominator; 5a/20 = 4b/20 or 5a+4b over 20.

2. How many centimeters is 2.5 m + 12 mm -3 cm.
Convert all to cm 250 cm + 1.2 cm -3 cm = 248.2 cm.

3. Simplify 5-7 over -12 - -4
5-7 = -2
-12 - -4 = -12+4 = -8
So we have -2/-8 which reduces to 1/4 (Remember a negative divided by a negative is a positive.)

4. The product of two consecutive numbers is 2756. What is the sum of the consecutive numbers?
First estimate. 50x50 is 2500, 60x60 is 3600. So it's between 50 and 60. Since the last digit is 6, it must be the product of 2x3 or 7x8. Since 2756 is closer to 2500 let's try 52x53 which equals 2756. So what are they asking for? The sum. 52+53 =105

5. Rich, David, Tom and John divided up some money. Rich got twice as much as David. Tom got 3/4 as much as John, and John got three times as much as David. If David got $20, how much money was divided up?
D=$20
Work up from the bottom John got 3 times as much as David. J=$60
T= 3/4 of $60. So T=$45
R= 2*David or 2*20 so R=$40
Total amount divided up = $20+$60+$45+40=$165

TEAM EVENT

1. 14 = 4/9 x. Multiply both sides of the equation by 9/4 to get 14x9/4=x. Reduce to 63/2

2. Find the GCF of 1260, 693, and 630. Break down each number to it's factors.
1260 = 10x126 = 2x5x3x42 = 2x5x3x2x3x7 - 2x2x3x3x5x7
693 = 9x77= 3x3x7x11
630=9x7x2x5=2x3x3x5x7
Note that two 3's and a 7 are factors of all three. So 3x3x7=63. 63 is the greatest common factor of 1260, 693, and 630.

More solutions available at the math league website.

TEAM ASSIGNMENTS

1. GT = Gold Team
2. RT = Red Team
3. GA = Gold Alternates
4. RA = Red Alternates
In case of absences students will move up to the next team.

GT Elizabeth Whitcomb
GT Greta Prokosch
GT Monte Fischer
GT Matt Richards
GT Logan Woods
GT Matthew Morse
RT Brigham Williams
RT Caleb Golberg
RT Allie Prokosch
RT Daniel O'Reilly
RT Alex Nilles
RT Jack Korte
RT Kieran White
GA Vic Fischer
GA Nathan Whitcomb
GA Carter Henry
GA Tobiah Markovitz
GA Dev Bhakta
GA Frank
GA Lendale Smith
GA Luc Kaderlik
RA Laura Skemp
RA Hannah Kirby
RA Charlie Rutman
RA Thomas Miranda
RA Mandi Wen
RA Sarah Miller
RA Oliver McEllistrom
RA Tommy Buell
RA Danielle Stiel
RA Maureen Anderson
RA Devin Chastain

SCORES FROM SEPT 26
Team B - 16
Team C - 8
Team E - 4
Some unlabelled team - 12

Elizabeth Whitcomb 14
Greta Prokosch---- 13
Monte Fischer----- 10
Matt Richards----- 10
Logan Woods-------- 8
Matthew Morse------ 6
Brigham Williams--- 6
Allie Prokosch----- 6
Daniel O'Reilly---- 6
Alex Nilles-------- 4
Jack Korte--------- 6
Kieran White------- 4
Vic Fischer-------- 4
Nathan Whitcomb---- 0
Carter Henry------- 2
Tobiah Markovitz--- 4
Frank Sullivan----- 4
Lendale Smith------ 0
Luc Kaderlik------- 0
Hannah Kirby------- 0
Thomas Miranda----- 2
Mandi Wen---------- 0
Danielle Stiel----- 0