Algebra
Geometry
Number Theory
Combinatorics
Culture
100
While eating out, Arihunt and Daniel each tipped their server 2$. Arihunt tipped 10% of his bill and Daniel tipped 20% of his bill. What was the difference, in dollars, between their bills?
10
100
What is 126?
100
How many three-digit numbers are multiples of 24
37
100
A box contains 5 green balls, 3 yellow balls, and 2 purple balls.
You randomly pick two balls without replacement.
What is the probability that both balls you pick are yellow?
1/15
100
A fish with soy sauce and ginger is usually served on a long rectangular platter during Chinese New Year. This is used to symbolize Niánnián yǒuyú which is that there will be abundance and surplus every year. The rectangular platter consists of positive integer side lengths x and y feet such that the area of the platter in square yards is numerically equal to the perimeter of the platter in feet. Find the number of all possible pairs of (x,y).
15
200
The average (mean) of 20 numbers is 30, and the average of 30 other numbers is 20. What is the average of all 50 numbers?
24
200
Square 
has side length 
. Point 
is on 
, and the area of 
is 
. What is 
?
We are given that the area of 
is , and that 
.
The area of a triangle is:
Using 
as the height of ,
and solving for 
,
b= 8
200
How many multiples of 
are factors of 
?
4 => 1, 5, 401, 2005
200
There are four different colored candies: red, blue, yellow, and green. How many ways can you choose two candies from these four?
6
200
Dr. Martin Luther King Jr led 3 marches from Selma to Montgomery, Alabama to protest against racial segregation and Jim Crow laws that barred colored individuals from voting. The third and most successful march lasted 5 days from March 21 to March 25, 1965. On Days 1–2 (March 21–22), the marchers walked at an average speed of 2.5 miles per hour for the same number of hours each day. On Days 3–5 (March 23–25), the marchers increased their pace to 3 miles per hour, but walked 1 hour less per day than they did during Days 1–2. How many hours did the protesters and MLK march?
19.5
300
Find the sum of all coefficients in (x+y)^5
32
300
A rectangle with a diagonal of length x is twice as long as it is wide. What is the area of the rectangle?
Let's set the length to 
and the width to 
, so the rectangle has area 
and diagonal 
(by Pythagoras' theorem).
Now we can plug this value into the answer choices and test which one will give our desired area of . (Note that all of the answer choices contain 
, so keep in mind that 
We eventually find that 
, so the correct answer is 2x^2/5
300
Domino's Pizza serves pizza pies consisting of diameter 10, 14 and 21 inches. Considering the pies are perfect circles, what is the greatest amount of crust(circumference) you cannot order?
67 pi
300
Jatobi and David are play a game in which they take turns each rolling two unbiased cubical dice. The first one who rolls a sum of six wins. David rolls the dice first. What is the probability that David wins? Answer as a fraction in simplest form.
36/67
300
A popular dish on Eid-Al-Adha are kebabs, meat served on toothpicks. Someone uses these kebabs to create regular unit hexagons on a table. If hexagons can share sides, what is the maximum number of unit hexagons a person can create with 89 kebabs?
24
400
Find the sum of all possible integer values of n such that n^3 + 2n^2 - 84n + 152 is prime.
8
400
In rectangle ABCD, AB = 12 and BC = 9 Let M be the midpoint of CD and Q be the midpoint of DM. Find the floor functioned area of quadrilateral AQMB.
Floor function means the greatest integer less than the actual value
67
400
n the year 
, the United States will host the International Mathematical Olympiad. Let 
and 
be distinct positive integers such that the product 
. What is the largest possible value of the sum 
?
667+3+1= 671
400
How many combinations of the word PURPLE exist such that
1. the two P are always together
2. the E and the U are never together
72
400
Rangoli is an Indian tradition where people crush colored flowers and limestone into colored grains and use the color to create intricate designs near their home. Arihunt wants to design a 2 by 4 block divided into unit squares and use 5 rangoli colors: red, green, blue, yellow, purple. A square touching another square in any means cannot have the same color as that square and every color must be used once. Find the number of ways this is possible
1440
500
A polynomial j(x)= (x^2 + 5x-3)(2x^2+5x-3)(3x^2+5x-3)...(8x^2+5x-3)(9x^2+5x-3)(10x^2+5x-3)
What is the sum of the reciprocals of all roots of j(x)
50/3= 6.66666666666667
500
A 2D design of a soccer ball has one black pentagon surrounded by five white hexagons with each one having one of its sides as the side of the pentagon. This pattern is repeated so many times that there are 12 pentagons and 20 hexagons. Tuff soccer player Naeem decides to recreate this pattern using toothpicks as the sides. What is the minimum number of toothpicks Naeem needs?
90
500
Let N be represented as (1+2+3+4...2022+2023+2024+2025)
How many factors does N have?
30
500
Mr. Milo, Ms. Ahmed, Ms. Huang, Mr. Baker, Mr. Popovici, and Mr. Lao are waiting for their Thanksgiving presents. Daniel randomly gives 6 presents labeled with their names to them. What is the probability that exactly 5 of them get the present with their name on it.
TRICK QUESTION
Not possible (if 5 people get the right present, then the sixth person also receives the right present)
500
Fill in the blanks
FriDAY more like Fri___
YAY