Percentages + area of a shape - practice problems - last page
Number of problems found: 200
- Box
The cardboard is a box-shaped quadrangular prism with a rhombic base. Rhombus has a side 5 cm, one diagonal 8 cm long, and the box's height is 12 cm. The package will open at the top. How many cm² of cardboard do we need to cover overlap and joints that a - Tower
The top of the tower is a regular hexagonal pyramid with a base edge 6.1 meters long and a height 11.7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 9% of metal for waste. - Prism
The prism's base is a rhombus with a side 30 cm and a height 27 cm long. The height of the prism is 180% longer than the side length of the rhombus. Calculate the volume of the prism. - Ray
Light ray loses 1/14 of brightness passing through a glass plate. What is the brightness of the ray after passing through 10 identical plates?
- Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube - Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 30%. What is the percentage change in the area of the hop garden? - Square
If we increase the side of the square, increase its area of 91%. What is the percentage we increase the side of the square? - Cube zoom
How many percents do we increase the volume and surface of the cube if we magnify its edge by 47 %? - Right Δ
A right triangle has the length of one leg 72 cm and the hypotenuse 90 cm size. Calculate the height of the triangle.
- Wheat
The rectangle-shaped field with dimensions 1268 m and 745 m harvested last year was 4959 q wheat. (1 q = 1 quintal = 100 kg). During the year, it was necessary to fix the pipe and therefore did kick wide 4 m parallel to the side of the field 745 m, were n - Expansion
If one side of the rectangle is larger 2-times and the second 4-times, what percentage increases the area of the rectangle? - Rectangle
In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle? - Wire
One pull of wire is reduced by its diameter by 14%. What will be the wire diameter with diameter 19 mm over 10 pulls? - Pipeline
How much percent has changed (reduced) the pipe cross-section area if the circular shape changed to square with the same perimeter?
- Rectangles
How many rectangles with area 3152 cm² whose sides are natural numbers? - Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm². - Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth - Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm. - Glass mosaic
How many dm² glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length 21 cm? Assume that cutting glass waste is 10%.
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