What's the Mistake
Which Doesn't Belong
Too Much Information
Famous Math Minds
Pop Culture
100
Maye comes up with the following proof:
100
16, 81, 256, 625, 1024
1024
100
A triangle has sides 13,14,15, perimeter 42, and largest angle approximately 67.4 degrees. Sachetan wants to find the area of this triangle, what is it?
84
100
What is A squared plus B squared equals C squared called?
Pythagoreon Theorem
100
Which singer released albums titled Plus, Multiply, Divide, Equals, and Subtract?
Ed Sheeran
200
Haoran comes up with the following proof:
200
Tejas is given these numbers:
7/40, 9/75, 11/88, 13/90
13/90 It is the only on that doesn't terminate
200
The Math Honor Society is planning a fundraiser to help pay for math materials. The club has 28 members, although only 21 attended the planning meeting, and four of those students arrived 12 minutes late because their chemistry lab ran over. Last year, the club raised $486 by selling cookies for $2 each and brownies for $3 each. This year, the president, Madhuram, proposes a five-day donation challenge. The donation goal is $3 on the first day, and each subsequent day’s goal is exactly twice the previous day’s goal. Lawrence estimates that printing the posters will cost $18.75, while the faculty adviser offers to contribute $25 toward supplies. The posters will be printed on paper measuring 8.5 by 11 inches, with a blue border one inch wide. The club plans to advertise the challenge during the morning announcements at 8:15 a.m. What is the donation goal for the fifth day alone?
$48
200
This person is refered as the "Mozart of Math"?
(Hint: At just eight years old, he scored a 760 on the SAT math section.)
Terence Tao
200
In Mean Girls (2004), what iconic phrase does Cady Heron say that leads the Mathletes to victory?
The Limit Does Not Exist
300
On the board.
x3 = 1 does not always mean x=1.
300
Matthew has 5 triangles with sides: (5,12,13), (13,14,15), (9,10, 17), (7,15, 20), (8,13, 15). Which one should he remove?
(8,13,15)
300
A monic quadratic has roots r,s, with r+s=7 and rs=10. Its vertex is (3.5,-2.25). Find r^3+s^3.
133
300
This Swiss scientist's came up with the principle states that as the speed of a moving fluid increases, the pressure within that fluid decreases, a concept crucial to how airplane wings achieve lift.
Bernoulli
300
In The Big Bang Theory, what number does Sheldon call "the best number"?
(Hint: It is a prime number from 60-90)
73
400
Sophie writes an incorrect proof that pi = 4:
The mistake is assuming that getting closer to the circle makes the staircase’s perimeter approach its circumference. Every staircase still consists of horizontal and vertical segments totaling 4. The tiny zigzags preserve extra length even as they become invisible, so their lengths do not approach the circle’s circumference, pi.
400
Noli writes out the following equations on the board:
x3 - 1, x5 +x +1, x4+ x2+ 1, x4 +x+1
Which one should Samuel erase?
x4 +x+1, the only one not divisible by x2+x+1
400
A bag contains six red cards numbered 1–6, five blue cards numbered 1–5, and four green cards numbered 1–4. Red, blue, and green cards are worth two, three, and five prize points, respectively. Eliza draws three cards randomly without replacement. What is the probability of drawing one of each color, with all three numbers different?
64/455
400
_____ was so deep into drawing geometric circles in the sand that when Roman soldiers invaded Syracuse, he reportedly snapped at an intruder, "Do not disturb my circles!" right before being killed.
Archimedes
400
When Tony Stark is cracking the code to Time Travel he says 4 different mathematical concepts, name one of them for 200 points, 2 for 400.
The Möbius Strip, Eigenvalues, Planck Scale, The Deutsch Proposition
500
Dr. Lyerly shows his Calculus students this proof:
x2 = x * x
x * x = x + x + ... + x (a total of x times)
d/dx(x + x + ... + x) = 1 + 1 + ... + 1 (a total of x times)
1 + 1 + ... + 1 = x
Therefore, d/dx(x2) = x
The mistake is treating the number of terms as constant when it depends on x.
Differentiating a fixed sum of n copies of x gives n. But here, the proof says there are x copies, so the number of terms changes with x. You cannot apply the fixed-sum rule that way.
Also, “x copies of x” only makes literal sense for nonnegative integer x, while differentiation requires a function defined near x.
500
A. Leanna finding the number of paths from (0,0) to (5,5), using only unit steps right or up, that never go above y=x.
B. Andy finding the number of ways to divide a regular heptagon (7-gon) into triangles using diagonals that do not cross inside it.
C. Lilly finding the number of ways to pair 10 equally spaced points on a circle using five chords that do not intersect.
D. Justing finding the number of ways to select three vertices of a regular heptagon(7-gon).
D, the only one that doesn't equal 42
500
A monic fourth-degree polynomial P(x) has constant term 29, and the sum of its complex roots, counted with multiplicity, is 10. If P(1)=P(2)=P(3)=P(4)=5, find P(5).
29
500
______ is a 9th-century Persian scholar working in Baghdad's House of Wisdom, wrote a foundational text on equations that gave us the word algebra and his own name turned into the word algorithm. He is also in the AP World History curriculum.
Al-Khwarizmi
500
In her 2005 album Aerial, this ‘Running Up That Hill’ singer performs a song featuring digits of pi.
Kate Bush