pythagorean theorem
area and perimeter
volume
trigonometry
area of shaded regions
100
if a right triangle has a hypotenuse of 26 feet and a leg length of 17 feet what is the length of the other length?
What is 19.67 feet
100
a triangle has a base of 9 inches and an altitude of 12 what is the area
What is 54 inches squared
100
Sally has a chocolate box whose length is 12 cm, height 8 cm, and width 6 cm. Find the volume of a box.
What is 576 cm cubed
100
A man is walking along a straight road. He notices the top of a tower subtending an angle of 60 degrees with the ground at the point where he is standing. If the height of the tower is 25 m, then what is the distance (in meters) of the man from the tower?
What is 14.43 meters
100
A 3×4 rectangle sits inside a 11×10 rectangle What is the area of the shaded region?
What is 98 units squared
200
Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?
What is 4 feet tall
200
Jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. What is the length of Jason’s tool shed?
What is 12 meters long
200
Jim made a rectangular prism whose length is 4 in., height 10 in., and width 6 in. Find the volume of a rectangular prism
What is 240 in cubed
200
A ship of height 12 m is sighted from a lighthouse. From the top of the lighthouse, the angle of depression to the top of the mast and the base of the ship equal 30 degrees and 45 degrees respectively. How far is the ship from the lighthouse ?
What is 28.39
200
A 7×5 rectangle sits inside a circle with radius of 6 What is the area of the shaded region?
What is 78.1 units squared
300
A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase to the nearest tenth of a foot?
What is 30 inches
300
Steve built a square dog pen that has a perimeter of 152 inches. What is the length of one side of Steve's dog pen?
What is 38 inches
300
Circumference of a sphere is 10 yds. Find the volume of the sphere to the nearest whole number.
What is 17 yards cubed
300
A little boy is flying a kite. The string of the kite makes an angle of 30 degrees with the ground. If the height of the kite is 15 m, find the length of the string that the boy has used.
What is 30 m
300
A 4×6 rectangle sits inside a circle with radius of 11 What is the area of the shaded region?
What is 356.13 units squared
400
To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?
What is 22 meters
400
A sandbox has a width of 6 feet. The sandbox is 5 times as long as it is wide. What is the perimeter of the sandbox?
What is 72 feet
400
Five metal cubes with sides of 5 cm are melted and casted into a spherical ball. Find the volume of the sphere that is formed.
What is 625 cubic cm
400
A pole of height 50 ft has a shadow of length 28.87 ft at a particular instant of time. Find the angle of elevation of the sun at this point of time.
What is 60 degrees
400
A circle with radius of 1 sits inside a 3×3 square What is the area of the shaded region?
What is 5.85 units squared
500
A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
What is 127.3 feet
500
What is the area of the screen which diagonal is 10 in and the ratio of dimensions is 3 : 4?
What is 48 in squared
500
A water tank is 90 m long and 60 m wide. What is the volume of the water in the tank, if the depth of water is 30 m?
What is 162,000 m cubed
500
Two men on the same side of a tall building notice the angle of elevation to the top of the building to be 30 degrees and 60 degrees respectively. If the height of the building is known to be 70 m, find the distance between the two men.
What is 80.83 meters
500
A circle with radius of 4 sits inside a 11×12 rectangle. What is the area of the shaded region?
What is 50.27 units squared
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