Algebra
Logic and Reasoning
Geometry
Unit Circle!
Word Problems
100
2x2+5=23
|x|*2x=?
What is 24?
100
1, 3, 6, 10, x, 21
x=?
What is 15?
100
The line y=2x+1 is cut into a segment from (-1,-1) to (3,7). What is the equation for the segment’s perpendicular bisector?
What is y=-1/2x+7/2 or equivalent?
100
What are the values of sine, cosine, and tangent at 60 degrees respectively?
(1/2, sqrt(3)/2, and sqrt(3))
100
How many prime numbers are between 10 and 25?
What is 6?
200
5x2-x=4
This is the sum of both x values.
What is 1/5?
200
There are a series of five circles. The first has a radius of 2in.. Each circle after the first has a circumference of π more than the last. What is the difference in area from the first to the last circle?
What is 12π?
200
A triangle has sides of length 5m, 5m, and 6m. What is the area of this triangle?
What is 12m?
200
A a right triangle has a hypotenuse of 12cm and one of its angles is 38 degrees. Find the length of the leg adjacent to the 38 degree angle.
What is 9.5cm?
200
From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35 degrees. Find the height of the tree to the nearest foot.
What is 33?
300
2x+3y=18
y/x=x/9y
x+y=?
What is 8?
300
How many squares are in the picture?
What is 14?
300
A square and a circle are merged together, a side of the square passing through the circle’s center, and the corners of the square meeting with the circle’s circumference. The radius of the circle is 2m. Find the area of the merged shape.
What is 2π+16m?
300
A right triangle has an angle 52 degrees and the leg opposite of the angle measures 16m. What is the difference between the two legs’ distances?
What is 3.5m?
300
Bob is a stamp collector. He collected 2 more stamps today than he did yesterday, and twice as many stamps today as he did 2 days ago. He previously had 3 times as many stamps as he collected today, and he now has 31. How many stamps did he collect these past few days?
What is 13?
400
x=3y
2y=z
2x/y=2z+2
xyz/2=?
What is 3?
400
You are at an unmarked intersection ... one way is the City of Lies and another way is the City of Truth.
Citizens of the City of Lies always lie.
Citizens of the City of Truth always tell the truth.
A citizen of one of those cities (you don't know which) is at the intersection. What question could you ask to them to find the way to the City of Truth?
What is "In which of those two directions do you live?"
400
Two triangles are adjoined. They are both right triangles. The first right triangle has legs with length 2in.. The second triangle’s first leg is adjoined to the first triangle’s hypotenuse. Both triangles are isosceles. Find the shape’s perimeter.
What is 8+2sqrt(2)in. or equivalent?
400
sin^2(x) -5sin(x)+4=0
x=?
What is Pi/2 or equivalent?
400
Dylan is flying a kite and let’s out 300ft of string which makes an angle of 60 degrees to the ground. A hill makes an angle of 30 degrees to the horizontal. How high straight above the ground is the kite?
What is 150(sqrt3)-150 or equivalent?
500
3x-4=y+4z
6x+2=3y+8z
y2=?
What is 100?
500
You must take two different tablets (A and B) each day.
If you forget one, or take more than one of any type, you will get sick.
Unfortunately they look exactly the same, and to make matters worse, with only two days supply left, you drop all 4 tablets on the floor together!
What can you do?
What is, Take half of each tablet today, the rest tomorrow.
500
A sphere falls onto the ground and faces break off so that a cube remains. The volume of the cube is 64cm^3. How much of the sphere fell off to make a cube (answer in cm^3)?
What is
500
3tan(x)cos^2(x)=1+sin^2(x)
x=? (From 0 to 90 degrees)
26.57 and 45 degrees. Or equivalent (.4636 and pi/4 in radians)
500
Sean arrives at school at 7:30. It takes him five times as long to drive to school as it does to brush his teeth. It takes him 5 less minutes to pack his lunch as it does to drive to school. He takes 15 minutes to eat breakfast. Sean takes a third of the time that he eats breakfast to get dressed. It takes three less minutes for Sean to brush his teeth than it does for him to get dressed. Assuming he performs these actions one after the other, what time does he wake up?
What is 6:53?