Pythagorean Theorem
What is the formula for the Pythagorean Theorem?
What is the result of 23 * 24
128
What is the volume of a cylinder?
V = πr2h
Write the number 3,400 in scientific notation.
3.4 x 103
What is the area of a rectangle?
Length * width
In a right triangle, if one leg measures 3 units and the other leg measures 4 units, what is the length of the hypotenuse?
The length of the hypotenuse is 5 units
Simplify x5/x2
x3
What is the volume of a cylinder with a radius of 3 units and a height of 7 units?
197.92 units
Write the number 0.0052 in scientific notation
5.2 x 10 -3
If a square has a length of 43 units what is the perimeter?
172 units
If the hypotenuse of a right triangle is 10 units and one leg is 6 units, what is the length of the other leg?
The length of the other leg is 8 units
What is the result of (32)3
729
What is the volume of a sphere with a radius of 4 units?
268.08 units
What is 6.8 x 105 to standard notation?
680,000
Find the area and perimeter of the shape formed by a semicircle with radius 4 attached to a rectangle with length 8 and width 4, where the diameter of the semicircle coincides with one of the rectangle length.
Area = 32+ 8π
Perimeter = 16 + 4π
A ladder is leaning against a wall. The base of the ladder is 7 feet from the wall, and the ladder reaches 24 feet up the wall. How long is the ladder?
The ladder is 25 feet
Simplify (xy)4/(xy)2
x2y2
What is the volume of a cone with a radius of 5 units and a height of 12 units?
314.16 units
Calculate (2.5 x 104) * (3 x 102), and express the answer in scientific notation.
7.5 x 106
Find the area and perimeter of a regular hexagon with side length of 6.
93.53
A right triangle has legs of lengths 8 and 15 units. What is the area of the triangle?
The area of the triangle is 60 units
Simplify (2x3y2)3/(4x2y)2
128x13y8
What is the formula for the volume of a cube?
v= a * a * a
If a light-year is approximately 9.46 x 1012 kilometers, and a star is 2.7 x 1011 light-years away, what is the distance to the star in kilometers, expressed in scientific notation?
2.55 x 1023 kilometers
Find the area and perimeter of the shape formed by removing a quarter circle of radius 2 from a square with side length 5.
Area = 25 - π
Perimeter = 15 + π