Statistics and Probability
Every day, Sowmya decides to pitch her new therian club to 7 people in her grade. If you are a junior at Walls, then what’s the likelihood that Sowmya (unfortunately) selects you to speak to on any given day, given that there are 150 kids in junior year. (In percent)
~4.667%
Michael has $4000 in his bank account. Every day, he deposits $25. How much money does he have in his account on the 2026th day, assuming his first deposit of $25 was on Day 2?
$54,625
Bob is standing on a building 20 ft. in the air. He wants to build a zipline to the top of a 10 ft. tree that is 30 ft. from the base of the building. How much cord would he need to buy if he could only buy it by the foot?
32 ft.
Mr. Webster is struggling with some math concepts on a timed quiz and needs some help. Quick, what’s the 11th prime number?
31
Shaan bought 67 frisbees for the SWW frisbee team and now has to walk home holding them in his bare hands. He drops 13 along the way, stops by the Webster’s house and donates 34, snacks on 2 on his walk back home, finds 4 of the ones he had dropped and picks them up, and then chucks the rest because he remembers he doesn’t like playing frisbee. If each frisbee costs $9, how much money did the frisbees Shaan threw away and ate cost?
$198
At SWW, 39% of students are part of my little pony club, 28% of students are part of math club, and 55% of students are either in math club, my little pony club, or both. What is the probability that a randomly selected student participates in both math club and my little pony club?
12%
Sowmya already has 68 feet pics in her album. If she adds 8 photos to her collection every day, in how many days will her collection exceed 1000?
117 days
Billy has a lot of junk on his bedroom floor that his mom is making him clean up. His room is 10 ft. by 7ft. And his 6x3 ft. bed takes up a section of his floorspace. If every other inch of his floor is covered with mess and is no more than ½ a foot tall. What would be the minimum cubic feet his closet would need to have to fit all of it.
26 ft.^3
In a room where there are 67 people, 38 are in furry club and 52 are in math club. How many are in both clubs?
23
2 artists take 10 hours to create 2 paintings. How many full paintings could 12 artists make in a full day, assuming all artists work at the same pace?
28
Bobithy and Billbert have identical closets each with 5 math pun shirts, 3 pairs of purple pants in varying shades, 16 pairs of Elmo socks, and 2 pairs of flip-flops. What is the chance that they randomly wear the exact same thing one day assuming they wear one of each type of item.
1/480
Three sisters' ages combined is 51. If the oldest sister is 4 years older than the youngest sister, and the middle sister’s age is equal to the average of the older and younger sisters’ age combined, what is the product of the sisters’ age?
4845
A rainbow sparkly allicorn takes off from the ground, but is unsure if he can clear the 25 ft. building 30 ft. in front of him. What would the minimum angle, rounded to the nearest whole degree, that he would need to take off at in order to not smash into wall?
40 degrees
What is the number of distinct partitions of the positive integer 10 such that every part in the partition is odd (where a partition is a way of writing 10 as a sum of positive integers, ignoring order)?
10 distinct partitions
At exactly 2:00, the minute and hour hands of a standard clock form an angle of this many degrees.
60 degrees
Find 70% of 60%of 50% of 40% of 30% of 20% of 10% of 67.
0.033768
The first three terms of this geometric sequence are 16, -8, and 4. What is the infinite sum of this sequence? (answer in an improper fraction)
32/3
Ronan will disintegrate if we can’t figure out how to turn 135 degrees into radians. What is 135 degrees in radians?
3π/4
Find the number of trailing zeros in 100!
Hint: A trailing zero is created by multiplying by 10, which is 2×5. In any factorial, the number of factors of 2 is always greater than the number of factors of 5.
24
Ronan, the unranked hobby horser, jumps 67 hurdles per 100 minutes with his pony companion. Every 67th hurdle, he takes a 7-minute potty break.
If he maintains a constant pace, how many total hours will it take him to complete 134 hurdles?
3 hours and 34 minutes or 3.5667 hours
If a is 230% of b and b is 78% of c, and a is p% of c, then what is p?
179.4
MK snoozes their alarm at 6:00am, and when the alarm rings again at 6:10am, they snooze it. Given that the time the alarm snoozes for is 15% less every time MK snoozes the alarm, how many times will MK have snoozed their alarm before getting out of bed at 6:30am?
4 times
Pierce runs in a triangle every day from his house. Given that the triangle has a hypotenuse of 85 and a far side length of 67, what is the angle at which he runs from his house? (rounded to the nearest hundredth)
57.02 degrees
The unique prime factorization of this lowest three-digit number is written in exponential notation as 2 cubed times 5 cubed.
1000
Find the derivative of f(x)*g(x) where f(x) = 3x2-6 and
g(x) = 4x^3 - 5x
Answer:
(3x^2-6)(12x^2-5) + (4x^3-5x)(6x)