Fractions + square (second power, quadratic) - practice problems
Number of problems found: 299
- Evaluate 37
Evaluate the function K(x) = 2x²+3x-2 what is the value of K(½)
- A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m².
- Mowing lawn
Tara is mowing her lawn. She mows 3/5 of her 925-square-meter lawn before stopping to chat with a neighbor. How many square meters does Tara have left to mow after chatting with her neighbor?
- Square yards
What is 4 1/3 yards times 5 2/3 yards?
- NYC block
Bijan wants to go running during his family's vacation to New York City. To do so, he will run a neighborhood block 20 times. Bijan runs a total of 8 miles. The block has a length of 3/20 miles. Use the formula for the perimeter of the neighborhood block
- The bedroom
The area of the rectangular bedroom is 136 5/8 square feet. If its width is 12 3/4 feet, find its length in simplest form.
- Native plants
In a garden, 5/6 of the area is filled with native plants. The native plants take up 107/4 m². Let g represent the total area of the garden. Find g = total area of the garden.
- A sandbox
3/4 a sandbox has an area of 20 square feet. The length is 6 1/2 feet. What is the width of the sandbox?
- The playground 2
The dome is built on the playground. The dome covers an area of 1 2/3 square meters, which is 5/840 of the total area of the playground. What is the total area of the playground?
- A rectangle 13
A rectangle has an area of 15 square inches. What is the unknown side length if one side length is 1 2/3 inches wide?
- ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region.
- A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume.
- The frustum
A frustum of a pyramid is 4 cm at the top and 7 cm at the bottom square, and it's 6 cm high. Calculate the volume of the frustum.
- Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters?
- A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²?
- Much 37741
How much is half the half the cube half?
- Calculate 37881
Calculate the square of the half of the sum of the numbers 3/5 and -1/3.
- Simplest form
Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power.
- Calculate 68454
Calculate how many times the square of the number 1/100 is less than 1/1000. (numbers in fraction form)
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