first composite natural number
4
2+2
3
The day before two days after the day before tomorrow is Saturday. What day is it today?
Friday
definition of a rhombus
4 sided shape with equal sides
What is Mr. Jacobs's classroom number?
231
Branch of math that is named after the words "Earth" and "measure" in Greek
Geometry
(8+9)*8
136
You own a farm but you have very bad managment so you've somehow forgotten how many chickens and rabbits you have. After hours of counting, you find that there are 20 heads and 76 feet in total. How many chickens and many rabbits do you have?
2 chickens, 18 rabbits
formula for the volume of a sphere
4/3 * π * r^3
Touch grass
( ͡° ͜ʖ ͡°)
Well-known rule that can be easily used to test if a number is divisble by 3
Add all the digits and check if that sum is divisible by 3 (e.g. 59049 -> 27, and since 27 is divisible by 3 so is 59049)
17+(5*28)/7
37
How many blocks are there in total? Remember that blocks cannot "float"
37
If ST=6, PY=5, what is the volume of this pyramid? The pyramid's lateral faces are all isosceles congruent triangles and the base is a square.
48
In an exam, for each correct answer, an exam taker will receive 8 points; for each wrong answer, the exam taker will lose 5 points. Duke answered 18 questions in total and received 92 points. How many questions did he get wrong?
4
the mathematical constant e ~ 2.718 is named after _____
Euler
9*11*13
1287
You have to guess a four digit number. Here are the clues: 1234 has two correct digits in the right place, 8901 has two correct digits, both in the wrong place, 3587 has one digit in the right place, and 1001 has no correct digits. What is the number?
9284
A rectangle has a width of 1 and a height of unknown length x > 1. When the rectangle is cut in half across its long side, the two new rectangles are similar to the original rectangle. What is x?
sqrt(2)
log2(3) * log3(5) * log5(7) * log7(8)?
3
The time in years it took to prove Fermat's last theorem since it was first conjectured. Closest answer wins
358
11^4
14641
What are the missing numbers (including red box) and where do they go?
7 at the top, 9 a the left, 3 at the bottom, 8 at the bottom right
In the image above, the 4 circles have a radius of 1 and the centers form a square. What is the shaded area?
2π - 4
Alice and Bob take turns flipping coins. The winner is the first player to land a heads wins, and Alice flips first. Bob claims that this is unfair, and insists that he flips two times after each time that Alice rolls. If they follow Bob's rules, what it is the probability that Alice still wins?
4/7