Fractions + planimetrics - practice problems
Number of problems found: 333
- Circle graph
Erica surveyed students at her school about their favorite type of music. She made a circle graph to show the results. The central angle for the section of the graph that represents country music measures 72°. If 45 classmates chose the country as their f - 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. - George
George decided to use blue paint to paint a wall with two windows. The wall is 12 7/8 ft by 8 ft. Both windows are 3 1/2 ft by 4 1/2 ft rectangles. Find the area the paint needs to cover. - Bradley
Bradley is making a box that has a length of 14 7/8 inches and a width of 5 1/3 inches. How much wood does he need to make the box?
- A farmer 9
A farmer has 3 hectares of an orchard. ½ of the land is occupied by apples, ⅙ of the remainder is occupied by lemon trees, and tree tomatoes occupy the rest of it. Find the fraction of the land occupied by tree tomatoes. - Sonya
Sonya, Jill, and Donna run each Monday. Jill ran 6/12 of an hour, and Donna ran 5/12 of an hour. If the girls ran a total of one whole hour, what fraction of an hour did Sonya run? - Rectangle 83
Rectangle land has a dimension of 8 km times 10 9/10 km. What is the area? Write your answer as a fraction or as a whole or mixed number. - A blanket
A blanket is 60 inches by 72 inches. If you want to make it 1/3 smaller, what size would it be? - The width 2
The width of stamp M is 4/3 inches, and the length is 7/5 inches. The dimensions of stamp M are 7/6 times the dimensions of stamp P. What is the length of stamp P in inches?
- A room
A room is 8 2/3 m by 5 1/4 m. What is the area of the room? - Square yards
What is 4 1/3 yards times 5 2/3 yards? - The length 19
The length and width of a rectangle are 1/6 inches and 3/8 inches. What is the perimeter (in inches) of the rectangle? - A rectangular 12
A rectangular mobile phone has a length of 13 1/3cm and a width of 5 1/3 cm. What is the perimeter of the phone? - 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
- Nisha
Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of 33cm squared and a width of 7 1/2 centimeters. What is the height of this painting? - Linda
Linda gave her sister 2/5 of her money, spent 1/3, and saved the remainder. If Linda saved $28.00, how much money did she have at first? - An electorate
In an electorate, 3/4 th of the voters are Tamils. Of the remaining 2/3 rd are Muslims, and the others are Sinhalese. If the number of Sinhalese in that electorate is 587, find the number of voters in that electorate. - 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.
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