Angles
Area
Surface Area
Volume
Triangles
100
Find the value of x
by Adit Kadepurkar
48 degrees
100
Bob baked two dozen cookies. The total area of the all the cookies combined is 2712.96 square inches. What is the circumference of a cookie (to the nearest hundredth, use pi=3.14)?
By Etta Sou
37.68 inches
by Etta Sou
100
A 4"x5"x6" rectangular prism is cut into 1 cubic inch cubes. How much did the surface area increase?
by Chris Ge
572 square inches
by Chris Ge
100
The sum of all the edges of a cube is 60 cm. What is the cube's volume in meters?
by Shreya Prasanna
0.000125 meters cubed
by Shreya Prasanna*
100
In the diagram below all angles are right angles. How long is the laser beam? How far is it from Alderaan? Round all answers to the hundredths place.
by Adrian Kao
360.56 meters and 565.69 meters respectively
by Adrian Kao
200
Two pairs of parallel lines intersect as shown in the diagram below. What is the relationship between the two angles shown and what is the value of x?
by: Anonymous
The angles are alternate exterior angles. x is 80
by: Anonymous
200
A rectangle has a length of 8 and a width of 10. A semicircle is fitted to the longer side. What is the area of the combined shape (round to the hundredths place, use pi=3.14)?
by Shelley Li
119.25
by Shelley Li
200
The G-Man is painting an entire room (including the ceiling and floor) hot pink. The room is 10'x15'x20'. He wants to apply three layers of paint and each gallon will cover 20 square feet (one layer) and costs $50.25. How much will all this paint cost?
by Natasha Chang
$9798.75
by Natasha Chang
200
John drops his 5x5x5 cube into a tub of red paint. In anger he throws the cube against the wall and breaks it into 1x1x1 pieces. How many of the pieces are red?
by Samrit Grover
98 pieces
by Samrit Grover
200
Find a value of x which completes the right triangle with sides of 5x, 12x, and 26
by Katherine Bauer
x=2
by Katherine Bauer
300
What is x+y?
By Einez Wu
x+y=225
by Einez Wu
300
Bob has 64mm of wood to install a fence around his waterbear farm (in a rectangle). What is the largest possible area of his farm in meters? What are the dimensions?
by Kaylee Wei
0.000256 square meters
by Kaylee Wei*
300
You have a 7x7x7 inch cube. You remove a 1x1x1 inch cube from the center of each face. What is the surface area of the new shape?
by Ananya Srinivasan
318 square inches
by Ananya Srinivasan
300
A sphere of diameter 5 cm is dropped into a cylindrical vessel half filled with water. The diameter of the vessel is 20 cm. If the sphere is completely submerged, how many cm did the water rise (round to the hundredths place and use pi=3.14)?
by Meher Jain
0.21 cm
by Meher Jain
300
Panda-man and his nemesis have been fighting for 21 hours straight. Eventually his nemesis activates his stasis field and traps Panda-man. He will free Panda-man if he can name a Pythagorean triple where one of the numbers is 21. What is the Pythagorean triple that Panda-man should say?
by Nisheet Panda
21, 20, and 29
by Nisheet Panda
400
What is the total interior angle measure of a 20-sided polygon?
by Andrew Liang
3240 degrees
by: Andrew Liang
400
The length of a rectangle is 6 cm shorter than 5 times the width. The perimeter is 108 cm. What is the length and what is the width?
by Madhav Thanksala
44 cm and 10 cm respectively
by: Madhav Thanksala*
400
You have a rectangular prism. You cut off the top 3 meters and the bottom 1 meters and the prism becomes a cube. The surface area was decreased by 96 square meters after you do this. What was the surface area of the prism before cutting (round to the hundredths place)?
by Fuyi Yang
312 squaremeters
by Fuyi Yang
400
A cylinder's height has been decreased by 30%. Its radius has been decreased 50%. How much has the volume of the cylinder been decreased as a percentage?
by Pranav Reddy
82.5%
by: Pranav Reddy*
400
Imagine a right triangle that has a hypotenuse of 10 and an altitude to the hypotenuse that is 6 units long. What would be the area of the triangle? Explain.
by Nathan Zhang
The triangle must have an area of zero because it cannot exist.
by Nathan Zhang
500
How many acute angles can be formed
by Selena Tang
14 acute angles
by: Selena Tang
500
The four small trapezoids are all congruent. AD is 10 inches long and BC is 5 inches long. What is the perimeter of a small trapezoid? (the figure is obviously not drawn to scale)
by Darren Choe
12.5 inches
by Darren Choe*
500
The surface area of a compound shape formed by putting a cone with a slant height of 4 inches on top of a 5 inch tall cylinder is 192.325 square inches. They both have the same radius. What is the radius of the cone (use pi=3.14)?
by Chantale Tso
3.5 inches
by Chantale Tso
500
Bob has a lightsaber made of two cylinders with different lengths and radii. The handle is 8 inches long and 2 inches in diameter. The blade is 3 feet long and half as wide as the handle. What is the total volume of the lightsaber in cubic inches? Use pi=3.14 and round to the hundredth place
by Brian Loh
53.41 inches cubed
by Brian Loh*
500
There is a triangle with corners at the points (6, -4, 3), (2, 5, -9), and (-7, -1, 11). Is the triangle obtuse, acute, or right? Give the numbers.
by Sohani Sawant
Obtuse
by Sohani Sawant