UAB Middle School Math Tournament
Team Ciphering Round
October 26, 2024
6th Grade Representatives and Runners to the front of the room!
Practice
24 is 60% of what number?
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Practice Answer
40
Problem 6.1
6.1
What is the greatest common factor of 182 and 70?
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6.1 Answer
14
Problem 6.2
6.2
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6.2 Answer
25
Problem 6.3
6.3
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Joe went to school at 8:00 AM. He has 4 classes, each lasting 60 minutes and a lunch break for 30 minutes. What time did he leave school?
STOP
6.3 Answer
12:30 PM
Problem 6.4
6.4
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Simplify the fraction:
133/361
STOP
6.4 Answer
7/19
Problem 6.5
6.5
Tina doesn’t sleep much, so she ends up counting the number of minutes she has to sleep every night. If Tina went to sleep at 3:14 AM and woke up at 7:32 AM, how many minutes of sleep did she get that night?
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6.5 Answer
258
7th Grade Representatives and Runners to the front of the room!
Problem 7.1
7.1
If 25% of P is 50% of D which is 75% of R, what is the value of P if R is 320?
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7.1 Answer
30
Problem 7.2
7.2
Determine the slope of a line that passes through (9, 4) and
(36, 7)
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7.2 Answer
1/9
Problem 7.3
7.3
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The sum of 4 consecutive odd integers is 96. What are their values?
STOP
7.3 Answer
[21, 23, 25, 27]
Problem 7.4
7.4
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Solve for x:
4(x+3)-6 = x+3
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7.4 Answer
x = 1
Problem 7.5
7.5
A car can travel 25 miles on a gallon of gas. If it travels 385 miles, how many gallons of gas does it use?
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7.5 Answer
15.4
8th Grade Representatives and Runners to the front of the room!
Problem 8.1
8.1
Determine the x and y intercepts of the following linear equation:
y = -4x + 20
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8.1 Answer
(0, 20), (5,0)
Problem 8.2
8.2
A sports club has 300 members. For a home game, 100 of the members decided to wear matching hats while 200 decided to wear matching jerseys. If 50 did not wear either, how many wore both?
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8.2 Answer
50
Problem 8.3
8.3
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What is the y-intercept of a linear equation that produces a line that passes through (1, 15) and (4, 24).
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8.3 Answer
(0, 12)
Problem 8.4
8.4
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Solve for x:
STOP
8.4 Answer
x = 16
Problem 8.5
8.5
Evaluate the following:
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7.5 Answer
12
That concludes the ciphering round!