Number Sense
28^2=?
784
The ratio of red paint to blue paint to green paint is 4:6:9. The amount of green paint there are is 36 gallons. What is the number of red paint?
16 gallons
What is the area of a cylinder that has a radius of 5 and height of 13?
325pi
You have 7 socks, 3 yellow and 4 red. What is the probability of drawing 2 red socks in your first 2 draw?
12/49
What is the area of a square that has two diagonals of 12?
72
What is the hypotenuse for a right triangle that have two short legs of 7 and 24?
25
1
What is the volume of a sphere that has a diameter of 3?
36pi cubed
how many numbers between 500 and 1000 contain the numbers 3 and 4?
10
What is total degree measure of corner 1,2,3,4,5?(Picture will be drawn)
180
Estimate 2^20, both team can answer, whoever is more close gets the point.
1048576
You know that is is how on the equator. Then, is the speed faster when the Earth rotates around the sun at midnight or the speed faster in noon? Or is it equal?
Midnight
What is the sum of the 5 angles?
180
how many numbers can you make with only using three of the numbers 1,3,3,4,5? (No Repetition)
24
This question has two parts. 1. How can you draw the smallest equilateral triangle in a unit square. 2. After you drew the triangle, please calculate the triangle's area squared.
3/16
8!=?
6720
There are 5 people trying to cross a bridge. There can be only 2 people crossing the bridge each time. The time they use is 2, 4, 7, 10, and 12 minuets. Also, you need a torch held by someone when crossing the bridge. What is the shortest time the people would take?
35min
The shown triangle π΄π΅πΆ is isosceles with β‘π΄π΅πΆ = 40Β°. The two angles indicated β‘πΈπ΄π΅ and β‘π·πΆπ΄ are equally big. How big is the angle β‘πΆπΉπΈ? (The triangle will be drawn)
70
there is a chicken, a bag of rice, and a wolf. The chicken will eat the rice without you supervising, the wolf will eat the chicken without you supervising. You are now crossing the river, how can you let the three things cross safely?(You can only take one thing with you when you cross the river.)
First, take the chicken to the other side. Then, take the chicken to the other side. The wolf can't eat the chicken because you are supervising. Then, take the wolf back with you. Take the rice and go to the other side. Then, take the chicken back. Then, take the wolf to the other side. Finally, takr the chicken to the other side.
What is the area of a triangle that has three sides of x*2 6/7, 2x/7, and 3x when x=14?
3sqrt559, you get half points for answering sqrt5031
105^2=?
11025
There are 4 people, captured by a monster. The monster gave them four hats. There 2 black hats and two white hats. At least one of them need to guess their hat color correctly. Nobody will talk before they know their hat color. (The picture will be drawn) Is it possible to let them go if you are one of them. If so, please show your process.
It is possible. Prisoner A sees that there are two different hats he can see, so he can't determine the hat color on his head, so he stays quiet. Then, the prisoner B knows that Prisoner C's hat color is different from his. Thus, B will be able to know that he is wearing a black hat.
When two circles share the same center with radius of 1 and 3. The shaded area are equal(will be drawn), what is the degree measure of corner x?
40
two girls and three boys are seated in a row of desks, what is the probability that two boys are seated on the two sides?
3/10
simplify 0=x^2-4x+1
using the quadraatic equation formula, we know that the equation simplified will be x=[4+-sqrt(16-4)]/2