Algebra / NT
Geometry
Combo / Logic
Random Math
Question Mark
100

The value of the sum

1+3+5+\cdots+21.

What is 121?

100

The length of the diagonal of a rectangle with side lengths 6 and 7.

What is \sqrt{85}? 

100

A bottle of ketchup expires after 10! =10\cdot 9 \cdot 8\cdots 1 seconds. Yilin steals a bottle of ketchup at 6:07 AM of January 1. On what day does her bottle of ketchup expire?

What is February 12th?

100

First 10 digits of \pi (including ones-digit).

What is 3.141592653?

100

Beans

What does Yilin enjoy?

200

The value of x that satisfies 10^x\cdot100^{2x}=1000^5? 

What is 3?

200

Seven cookies of radius 1 inch are cut from a circle of cookie dough, as shown. Neighboring cookies are tangent, and all except the center cookie are tangent to the edge of the dough. The leftover scrap is reshaped to form another cookie of the same thickness. The radius in feet of this new scrap is this number.

What is \frac{\sqrt2}{12}?

200

Christine wants to visit Yilin after school today and knows the street where she lives but doesn't know her house number. Yilin tells her, "My house number has two digits, and exactly three of the following four statements about it are true."

(1) It is prime. (2) It is even. (3) It is divisible by 7. (4) One of its digits is 9.

After 67 seconds, Christine figured out Yilin's house number. This number is the units digit of the house number.

What is 8?

200

A partition of this shape that splits it into four similar polygons.

Look at board

200

Yilin has been fully responsible for this action in the list of things that will give you a warning.

Who exploded a ketchup packet?

300

The prime factorization of 6776.

What is 2^3\cdot7\cdot11^2? 

300

A shape is created by joining seven unit cubes, as shown. This is the ratio of the volume in cubic units to the surface area in square units (ignore units in your ratio)? 

What is 7:30?

300

A regular octahedron has eight equilateral triangle faces with four faces meeting at each vertex. Lucas will make the regular octahedron shown on the right by folding the piece of paper shown on the left. This numbered face will end up to the right of Q.

What is 1?

300

 \sqrt{6} accurate to 2 decimal places.

What is 2.44?

300

A mind game where if you think about it, you lose.

What is the game?

400

The number of primes in the first 10 terms of the following number sequence:

\{2, 121, 11211, \cdots\}

What is 1?

400

The number of rectangles in this figure.

What is 11?

400

When 7 fair standard 6-sided dice are thrown, the probability that the sum of the numbers on the top faces is 10 can be written as \frac{n}{6^7} for this positive integer value of n.

What is 84?

400

There are three eight-digit positive integers which are equal to the sum of the eighth powers of their digits. These numbers are 24678051 and 88593477, and ___.

What is 24678050?

400

We play a game. Winner gets points.

Meow

500

Given the equations x+y=6, y+z=7, z+x=67, this is the value of  \frac{x^2-z^2}{y}. 

What is \frac{67}{27}?

500

Regular hexagon ABCDEF has side length 2. Let G be the midpoint of \overline{AB}, and let H be the midpoint of \overline{DE}. This is the perimeter of quadrilateral GCHF.

What is 4\sqrt7?

500

Yilin the goon is sitting at (0, 0) and wants to go an island at (6, 7). She can only jump up or to the right. She has ___ ways to get to the island.

What is 1716?

500

Lucas is creating a password for his hidden album. The password is 100 characters, with each character being a digit from 0-9. For added security, he will not make any two consecutive characters the same, and "67" will appear nowhere in his password. There are ___ digits in the number of passwords he can create.

What is 95?

500

Draw the nerd emoji. It can be from any app, but you have to specify which before you start.

Yes