1???
2???
3???
4???
5???
100
Arvin ate 11 halves of tarts, Bernice ate 12 quarters of tarts, Chrisandra ate 13 eighths of tarts, and Drake ate 14 sixteenths of tarts. How many tarts were eaten?
What is 11?
100
1434 stands for
What is "I lost the game"?
100
In the figure, 
is parallel to 
. We have 
and 
. Find 
.
What is 67? (not intentional; it's 2026)
100
This area of mathematics studies properties preserved under continuous deformation, like stretching but not tearing (knot theory is a branch of this field)
What is topology?
100
Given the list of six positive integers 
, 
, 
, 
, 
, and 
, how many ordered pairs 
will result in a mean of 
for the entire list?
What is 17?
200
The greatest common divisor of 
and 
is . The least common multiple of and is 
. Find .
What is 48?
200
Number of people in the room going to HMMT
What is (# recorded at start of meeting)?
200
At 
, what is the measure in degrees of the lesser angle formed by the hour hand and the minute hand?
What is 20 degrees?
200
This mathematician introduced the modern notation for functions using the symbol f(x)
Who is Leonhard Euler?
200
How many rectangles are there whose four vertices are points on this grid?
What is 10?
300
In four years Kay will be twice as old as Gordon. Four years after that Shaun will be twice as old as Kay. Four years after that Shaun will be three times as old as Gordon. How many years old is Shaun now?
What is 48?
300
The social deduction game we played up to 4 am at Mathcamp 2025
Blood on the Clocktower
300
In the figure, triangle 
is inscribed in a semicircle with diameter 
of length 
inches, and 
inches. When the area of the shaded region, in square inches, is expressed in the form 
what is the value of 
What is 146?
300
The term “algorithm” comes from the Latinized name of this 9th-century Persian mathematician
Who is al-Khwarizmi?
300
How many subsets of 
contain exactly one prime number?
What is 640?
400
There are relatively prime positive integers 
and so that
Find 
.
What is 19?
400
Name of teacher who walked by during last Jeopardy game and commented on Four Color Theorem
Who is Mr. Appel
400
A triangle with side lengths 
, 
, and 
has a circle with radius 
centered at each vertex. Find so that the total area inside the three circles but outside of the triangle is 
.
What is 90?
400
The first year team USA competed at the IMO.
What is 1974?
400
How many of the natural numbers from 
to 
inclusive, contain the digit at least twice? (The numbers 
and 
are two natural numbers that contain the digit at least twice, but 
or are not.)
What is 26?
500
Let 
be a complex number satisfying 
. Evaluate 
.
What is 36?
500
The first name of the Mathcamp instructor who gave a lecture on hat puzzles
Nikita (this came up last week and on 9/22)
500
Squares 
and 
each with side length overlap so that 
is an equilateral triangle as shown. The area of the region that is in the interior of both squares which is shaded in the diagram is 
, where and are positive integers, and is not divisible by the square of any prime. Find 
.
What is 51?
500
This mathematical symbol introduced in 1655 by John Wallis
What is the infinity symbol?
500
Find the number of positive integers less than 
that are neither multiples of 
nor have any digits that are multiples of .
What is 321?