Take Care (with the angles)
After attending a Sabrina Carpenter concert, Alexander Dang lays three identical 5‑ft‑wide square shaped eggs end‑to‑end and side‑by‑side to make a giant rectangular “egg carpet” What’s the area, in ft², of the carpet?
Alexander Dang finds that x+5=17 written on his locker. Could it be Sabrina Carpenter's number? Solve for x before the bell rings!
12
Alexander Dang peers into a room: “All but 6 are voting for Matt, all but 8 are voting for Josh, and all but 4 are Elle. How many people are chillin’ in total?
10
5G=3G+42. What is G?
What is 21?
Need an EGG‑cellent June‑Term plan? This department chair will crack the syllabus wide open.
Who is Ms. Eggert?
The diamond Alex plans to give Sabrina Carpenter is in the shape of Rhombus ABCD which has perimeter 52 m and diagonal AC=24 m. What’s its area? Alex calls it a “diamond flex".
120
If 3(x-2)=4x-8. y=15. Alexander mumbles, I wouldn't want to find my ex (he doesn't have one). Find x.
2
Alex looks into another room. Inside are 20 students: 10 in Rizz Class, 13 in Multivariable Calculus, 9 in Butter Churning Class, and 9 take ≥ 2 classes. How many take all three?
3
Bubbles and Sky (pronounced Ski) are at two stations which are 320 miles apart. A train starts at a certain time from Bubble's station and travels towards Sky at 70 mph. After 2 hours, another train starts from Sky's station and travels towards Bubbles at 20 mph. At what time do they meet?
4 hours.
Name the math teacher whose last name doubles as a Thanksgiving side dish (and a key ingredient in a beef wellington) and who volleys for the MS Girls’ Tennis team. Talk about serving!
Dr. Alexis Chestnut-Andrews.
Bombardino Crocodillo says "In isosceles triangle AMC with medians MV=CU=12 perpendicular, find the area."
Alex says, “Median? I barely know ’em!”
What is 96?
Alex is n years older than Sabrina Carpenter. Last year he was 5 times her age (maybe they shouldn't be dating after all); this year his age is her age squared. Find n.
9
Thirteen JV Tennis Players have UTRs 1-13. (Alex and Tyler are the 12 and 13 UTR ones). You repeatedly scan left‑to‑right, adding the players to the varsity team in UTR ascending order. For how many of the 13! orderings does the whole JV team get picked up in exactly two passes?
4096
How many ways are there to arrange the letters in the word butter?
What is 360?
His last name is a little icky (please don't be mad at me), and along with his friends Domestic and Product he makes up entirety of the GDP of the math department. He's such a great person that his friendship with the other members of the math department are like flower petals on a STEM.
Who is our very own Mr. Charles Grossen?
Right triangle ABC has legs 20 and 21. Including the legs, how many integer‑length segments can Ashton Hall draw from B to hypotenuse AC? (Alex likes to call them “hypot‑lines.” No one laughs at his jokes).
What is 13?
Points (sqrt(pi), a) and (sqrt(pi), b) are distinct points on the graph of y^2 + x^4 = 2x^2y + 1. What is |a - b|? No jokes here. Math is no laughing matter.
What is 2?
Sabrina Carpenter said her number was "monotonous". A number is “monotonous” if its digits strictly climb or strictly slide. Assuming a phone number must be positive and can have an arbitrary amount of digits, how many numbers must Alex call this afternoon?
1524
What is the sum of the infinite geometric series:
1, 2/5, 4/25, 8/125. . .
5/3
Climb this doctor’s ‘ladder’ of logic: his surname matches a biblical staircase, but he’d rather ascend through calculus.
- ..- .-. -. .. .--.
Who is Dr. Erik Jacobsen?
John Pork, Tim Cheese, and Justin Cheddar eat too many Sabrina Carpenter themed burgers and turn into three circles of radius 1 that are mutually tangent and inscribed into a larger circle. Alex wants to find the big circle’s radius.
3/2+sqrt(3)/2
Let P(x) = (7 - 1)(x - 2)(x - 3). For how many polynomials Q(x) does there exist a polynomial R(x) of degree 3 such that P(Q(x)) = P(x) - R(x)?
Hint: don't try the pythagorean theorem, it doesn't work.
What is 22?
Consider sequences of positive real numbers of the form x, 2000, y, ..., in which every term after the first is 1 less than the product of its two immediate neighbors. For how many different values of z does the term 2001 appear somewhere in the sequence?
4
How many distinct 9-letter arrangements of the word VENEZUELA are there in which no two identical letters are adjacent?
What is 55440?
The number of faculty in the math department.
Oh wait, I have to give a hint. I guess I'm pretty excited about the Sabrina Carpenter skin getting added to Fortnite.
14