Algebra
Geometry
Conceptual
Random
100
If x + β(x + 6) = 6, what is x?
3 (x=10 is an extraneous solution)
100
If the side length of a cube doubles, by what factor does its volume increase?
8
100
Leon walks around a square once. Naoki walks around a circle whose circumference is the same as the squareβs perimeter. Which shape encloses more area?
The circle
100
How many roots does x^3-1 have?
3
200
π + π = 8
πΒ² + πΒ² = 40
πβππ‘ ππ ππ?
12
200
What is the change in surface area of a rectanglisimer prism if the dimensions are changed from 4*5*6 to 2*8*7?
+24 sq. units (The answer must be positive in order to earn the point)
200
If there are two cones and a cylinder with the same radius, is the volume of the two cones combined or the cylinder greater?
The volume of the cylinder
200
What is the Math Club Instagram?
hillsdalemathclub (go follow!)
300
A fly is travelling at a constant speed of 70 meters per minute, between two walls that are closing in. Once it touches a wall, it turns around and runs toward another wall until the walls squash it. The walls take 1.5 hours to close. How many meters did the fly travel?
105 meters
300
WEEKLY DOUBLE: What of the ratio of the area of a cone with height 8 and radius 2 to the area of a cone with height 4 and radius 4?
32pi/3 to 64pi/3,
so 1:2
300
Leoncraft game takes 2 seconds to load 100 chunks. If the runtime is proportional to nΒ², about how long will it take to load 200 chunks?
8 seconds
300
What is 10!/(5!*5!)?
252
400
WEEKLY DOUBLE: Naoki leaves Hillsdale at 1:00pm and walks at a speed of 4 mph. Leon, staying late studying, leaves at 2:00pm and bikes at 10 mph. At what time does Leon catch up to Naoki?
2:40 pm
400
I am walking to a park 100 meters away from my house. However, based on the shape of the roads, I have to take one right angle left turn somewhere in the roads. All roads are straight, and I turn onto the longer road. If the length of the roads are integers, after how many meters would I take the turn?
36 meters
400
Leonkart game does not allow duplicate usernames. To do this, it compares each name with every other name in a list. If there are n names, about how many comparisons does it make in terms of n?
n^2
400
What is the next digit of pi? 3.141592653589793238_
4
500
What is the product of Β³ββ Γ β΄ββ Γ β΅ββ Γ Β·Β·Β· Γ Β²β°Β²βΆβββββ ?
1013
500
What is the angle x?
20 degrees
500
What is the normal shape (all sides have the same length) with the most sides that can be put in a flooring without leaving any gaps?
Hexagon
500
Name all the officers of Math Club (must name all to get 500)
Naoki, Leon, Thomas, Carver, Aravind, Aayush