Quiz Bowl. All eight students will solve problems as part of a quiz bowl . Students will work together to answer questions and compete head to head against other teams . Teams will be seated at tables. A moderator will ask a question using a microphone.
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Round 1 will consist of 10 questions.
All teams that provide the correct answer to a question posed by a moderator will earn 5 points.
You have 6 black socks, 12 white socks, and 8 pink socks. It’s pitch dark and you’re packing for a trip. You reach into your drawer, blindly choose an individual sock, and pack it.
How many socks do you need to choose to be sure you packed at least one pair of pink socks?
given that ABC is a right triangle,
and ABFG and ACDE are both squares.
3x – 5y = 17
y = 12 + 2x
Two of the angles in a triangle measure 48º and 84º. What type of triangle is this? Be as specific as you can.
Working together, Gertrude and Bertha can clear their entire driveway in 30 minutes. Working alone it takes Gertrude 40 minutes to shovel the whole driveway. How long does it take Bertha to shovel the whole driveway on her own?
Gertrude working alone:
Driveway Gertrude shovels in 40 minutes
Both working together
Driveway Bertha shovels in 30 minutes
Driveway Gertrude shovels in 30 minutes
So Bertha working alone would take 30 * 4 = 120 minutes
If you roll two identical fair dice, what is the probability of rolling “snake eyes” – in other words rolling a 2?
A serving of grapes is 2/3 of a cup. How many servings are in a 6 ½ cup package of grapes?
Give your answer as a mixed number of servings.
-1.125, ,- , 0.6,
from least to greatest.
3|-2x – 4| > 12
What is the sum of the whole numbers from 1 to 100? In other words, 1 + 2 + 3 + 4 + 5 + … + 98 + 99 + 100 = ???
Round 2 will consist of 3 questions that each have multiple answers.
Each team will earn 1 point for each correct answer and 1 bonus point if the team provides all of the possible answers.
List all the handshakes.
List all the prime numbers less than 100 that are the sum of 3 (not necessarily distinct) perfect cubes.
Cubes: 1, 8, 27, 64, 125…
A triangle has 3 sides, the lengths of which are whole numbers of centimeters. Two sides of the triangle are 3 cm and 5 cm, respectively. List all the possible lengths for the 3rd side.
If 5 is the longest side length, then
x + 3 > 5 and x ≤ 5, so x = 3, 4, 5.
If x is the longest side length, then x > 5 and 3 + 5 > x, so x = 6, 7.
x is any integer from 3 to 7 (including 3 and 7)
Round 3 will consist of 5 questions.
The first team to give a correct answer to the runner will get 3 points.
The first team with the correct answer will then receive a follow-up question for 2 bonus points.
Q: A super tripledon is found by taking an integer raising it to the 3rd power, then multiplying it by 3 and then adding 3 to the result.
What is the super tripledon of 3?
Q: Determine the slope-intercept equation of a line that passes through points (2,-3) & (5, 5).
F: What is the slope of a line that passes through the origin and is perpendicular to the previous line?
Q: How many distinguishable arrangements are there for the letters in the word “Drexel”?
Q: A right triangle has side lengths of x, 5, and 12. What are the 2 possible exact values for x?
Let’s say 5 and 12 are the legs, then
52 + 122 = x2.
I recognize that as a 5, 12, 13 triangle, but could also solve: 25 + 144 = x2, so 169 = x2.
x = 13
The other case is that 12 is the hypotenuse. 52 + x2 = 122, or 25 + x2 = 144.
x2 = 144 – 25 = 119
x = √119
F: A triangle has sides 7, 9, 12. Classify the triangle as acute, right or obtuse.
Q: Is the number of 2-digit numbers in which both 2 digits are odd greater than, less than, or the same as the number of 2-digit numbers in which both 2 digits are even?