ultimate math championship 2007 sixth grade. e 2 e 3 e 4 e 5 e 8 a 1 a 2 a 3 a 4 a 5 d 1 d 2 d 3 e 1...
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Ultimate Math Ultimate Math ChampionshipChampionship
20072007Sixth GradeSixth Grade
E 2
E 3
E 4
E 5
E 8
A 1
A 2
A 3
A 4
A 5
D 1
D 2
D 3
E 1
Easy (E) Easy (E) (25 pts)(25 pts)
Easy (E) Easy (E) (25 pts)(25 pts)
Average (A) Average (A) (50 pts)(50 pts)
Difficult (D)Difficult (D)(100 pts)(100 pts)
F 2
F 3
F 1
D 4
E 6
E 7
FinalFinal(Wager)(Wager)
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25 points
Which list of numbers is ordered from least to greatest?A ¼, 1 ¼ , 0.4, 0.04B 0.04, 0.4, ¼ , 1 ¼ C 0.04, ¼, 0.4, 1 ¼ D 0.4, ¼, 0.04, 1 ¼
E 1
A N S W E R:A N S W E R:
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25 points
C: 0.04, ¼, 0.4, 1 ¼
E 1
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25 points
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E 2What value of k makes the following equation true?
k ÷ 4 = 36A 32B 144C 9D 12
A N S W E R:A N S W E R:
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25 pointsE 2
B: 144
It takes a machine 16 minutes to fill 200 bottles of soda. At this rate, how many minutes will it take the machine to fill 500 bottles of soda?A 40 minutesB 30 minutesC 28 minutesD 25 minutes
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25 points
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E 3
A N S W E R:A N S W E R:
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25 pointsE 3
A: 40 minutes
Which of the following fractions is closer to 0?
A 5/6 C -¾
B -2/3 D 5/12
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25 points
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E 4
A N S W E R:A N S W E R:
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25 pointsE 4
D: 5/12
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E 5A certain map uses a scale of 1 inch equals 30 miles. How many miles are represented by 5 inches on this map?A 5B 120C 30D 150
A N S W E R:A N S W E R:
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25 pointsE 5
D: 150
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25 points
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E 6What is the product of 3/8 and 1/8?
A 5/8B 3/64 C 1/2D 1/4
A N S W E R:A N S W E R:
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25 pointsE6
B: 3/64
What is the greatest common divisor of 48, 32, and 56?
A 6 C 8 B 9 D 2
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E7
A N S W E R:A N S W E R:
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25 pointsE 7
C: 8
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E 88 + 8 ÷ 4 + 3 =A 10B 7C 15D 13
A N S W E R:A N S W E R:
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25 pointsE 8
D: 13
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50 points
The vice president of sales took a client out to lunch. If the lunch was $ 64 and she gave a 20% tip, how
much money did she spend on lunch?A $12.80B $51.20C $76.80D $77.80
A 1
A N S W E R:A N S W E R:
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50 pointsA 1
C: $76.80
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50 points
A group of hikers climbed from Salt Flats (elevation -55 feet) to Talon Peak (elevation 730 feet). What is the difference in elevation between Talon Peak and Salt Flats?
A 675 feet C 775 feetB 785 feet D 685 feet
A 2
A N S W E R:A N S W E R:
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50 pointsA 2
B: 785 feet
A farmer harvested 18,000 pounds of almonds in a 8-acre orchard. Which proportion could be solved to find X, the expected harvest from a 30-acre orchard?A 8 = X 18,000 30 B 8 = 30
18,000 XC 30 = X 18,000 8 D 30 = 8
18,000 X
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50 pointsA 3
A N S W E R: A N S W E R:
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50 pointsA 3
B: 8 = 30
18,000 X
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50 points
The Ramirez family went on vacation. They started with $2,400. If they spent $200 each day, which expression represents how much money they had after x days?
A 2200x C 2400 + 200xB 200x D 2400 - 200x
A 4
A N S W E R:A N S W E R:
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50 points
D: 2400 - 200x
A 4
Marisela had some change in her pocket. After her friend gave her $0.65, Marisela had $1.55 altogether. Which equation can she use to find the original amount of money, m, she had in her pocket?A m + 0.65 = 1.55 C m = 1.55 X 0.65B 1.55 = m – 0.65 D m + 1.55 = 0.65
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50 pointsA 5
A N S W E R:A N S W E R:
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50 points
A: m + 0.65 = 1.55
A 5
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100 pointsD 1A square with a side of x is inside a square with a side of 4, as pictured below. Which expression represents the area of the shaded region in terms of x?
A 16 - 2x C 16 - 4xB 16 + x² D 16 - x²
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100 points
D: 16 - x²
D 1
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100 pointsD2
When wheel B turns 3 revolutions, wheel A turns 5 revolutions. When wheel A
turns 40 revolutions, how many revolutions does wheel B turn?
A 4 C 24B 16 D 80
A N S W E R:A N S W E R:
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100 pointsD 2
C : 24
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100 pointsD3 If 50% of a number is 40, what is 75% of the number?
A 40 C 80 B 60 D 120
A N S W E R:A N S W E R:
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100 pointsD3
B: 60
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100 pointsD4 If the rectangle below has length of 15 inches and perimeter p inches. Which
equation could be used to find the width of the rectangle ?
A w = p/2 -15B w = 15 – pC w = 2(p) -15D w = 15- p/2
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100 pointsD 4
A: w = p/2 -15
The three angles of a triangle are in the ratio 3:4:5. What is the measure of the middle angle?
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WAGERT 1
A N S W E R:A N S W E R:
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WAGERT 1
60
The perimeter of a rectangular field is 3 times its length. If the perimeter is 240 m, find the width of the field.
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WAGERT 2
A N S W E R:A N S W E R:
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WAGERT 2
40
What is the y-intercept of the graph of 4x + 2y = 12?
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WAGERT 3
A N S W E R:A N S W E R:
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WAGERT 3
(0,6)