Percentages + area - practice problems
Number of problems found: 105
- Tropical, mild and arctic
How many percent of the Earth's surface lies in the tropical, mild, and arctic range? The border between the ranges is the parallel 23°27' and 66°33'.
The cone-shaped lampshade has a diameter of 30 cm and a height of 10 cm. How many cm² of material will we need when we 10% is waste?
- CZ flag
What percentage of the Czech flag is made up of blue, white and red textiles?
- Alaska vs Montana
Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. Montana has a surface area that is approximately 25% of the surface area of Alaska. What is the approximate surface area of Montana?
- Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof if 5.5% of the sheet we must add for joints and waste.
- The room
The room has a cuboid shape with dimensions: length 50m and width 60dm and height 300cm. Calculate how much this room will cost paint (a floor is not painted) if the window and door area is 15% of the total area and 1m² cost 15 euro.
- Water tank
A 288 hectoliter of water was poured into the tank with dimensions 12 m and 6 m bottom and 2 m depth. What part of the volume of the tank water occupied? Calculate the surface of tank wetted with water.
- Rectangle area
The length of a rectangle of x units is increased by 10%, and its width of y units is increased by 15%. What is the ratio of the area of the old rectangle to the area of the new rectangle?
- Cube surface area
The surface of the cube was originally 216 centimeters square. The surface of the cube has shrunk from 216 to 54 centimeters sq. Calculate how much percent the edge of the cube has decreased.
- Roof 7
The roof has the shape of a regular quadrangular pyramid with a base edge of 12 m and a height of 4 m. How many percent is folds and waste if in construction was consumed 181.4m² of plate?
- Three shapes
1/5 of a circle is shaded. The ratio of area if square to the sum of area of rectangle and that of the circle is 1:2. 60% of the square is shaded and 1/3 of the rectangle is shaded. What is the ratio of the area of circle to that of the rectangle?
- Diameters of circles
How many percent of the area of a larger circle is a smaller circle if the smaller circle has a diameter 120 mm and a larger one has a diameter 300 mm?
- Cutting circles
From the square 1 m sides, we have to cut the circles with a radius of 10 cm. How many discs will we cut, and how many percent will be wasted?
Meadow, with an area of 1,500 square meters, was fertilized with 12 kg of urea. Urea contains 45% nitrogen. How much nitrogen accounted for per 1 m²?
- Surface of wall
Find by what percentage the surface of the cube will decrease if we reduce the surface of each of its walls by 12%.
- Content area and percents
Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
How high can vintner fill keg with crushed red grapes if these grapes occupy a volume of 20 percent? The keg is cylindrical with a diameter of the base 1 m and a volume of 9.42 hl. Start from the premise that says that fermentation will fill the keg (the
Calculate the percentages to two decimal places: a / 15 min in 4 hours B / 35 cm² of 12.5 dm² c / 2dm² of 400 cm² D / 0.2 liters from 2.2 liters
Rectangular hall will have pave by square tiles with a side length 15 cm. The hall has length 18 meters and width 3 m. How many tiles need to buy if 2 percent of the amount is disrupted during the work?
- Normal Distribution
At one college, GPA's are normally distributed with a mean of 3.1 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.7 and 3.5?
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