Basic operations and concepts - math word problems - page 310 of 332
Number of problems found: 6633
- Lines
How many lines can be drawn with 8 points if three points lie on one line and the other any three points do not lie on the same line? - Principal interest months
How many months will it take for a principal of 5,000 euros to earn 350 euros in interest at 5% p.a.? - Isosceles weight
A designer weight is made from a glass cube by cutting off a triangular prism with an isosceles right-triangle base, where the legs of the triangle are each half the length of the cube's edge. What percentage of the cube is removed when making the weight? - Cylindrical tank
The cylinder-shaped tank with a diameter of 100 cm is 50% full and contains 7850 l of water. What is the height of the tank? - Pyramid Roof Sheet Metal
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8 m and a base edge of 4 m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof? - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid. - Distribution function
A continuous random variable X is specified: distribution function, specify the parameters a; b so that the function F (x) is continuous and was the distribution function of the random variable X and express f(x). P (X - Tower Sheet Metal Coverage
The tower has the shape of a regular four-sided pyramid with a base edge of 0.8 m. The height of the tower is 1.2 meters. How many square meters of sheet metal is needed for coverage if we count eight percent for joints and overlap? - Triangle height possibility
Is there a triangle with heights of 4, 7, and 10 meters? - Aquarium Dimensions and Volume
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6600 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge? - The iron roller
The iron roller has a base circumference of 28 π cm. The worker drilled a hole through the top of the roller. After drilling, the given product had a 35% smaller volume than before. The hole's circumference in the base is equal to the height of the roller - 9 rectangles
A large rectangle is divided into 9 small rectangles. How many rectangles are there in total (of all sizes)? - Poster ratio reduction
I will reduce the poster with sides of 2.4 m and 1.6 m in a ratio of 3:8. What are its new dimensions? - Square table
Determine the largest integer n for which the square table n×n can be filled with natural numbers from 1 to n² (n squared) so that at least one square power of the integer is written in each of its 3×3 square parts. - Largest wall
Find the area of the largest wall of a prism with a rectangle base with a height of 4 dm, side c = 5 cm, and side b = 6 cm. - Two cuboids
A cuboid has dimensions of 2 m × 3 m × 4 m. We increase the length of all edges by 50 cm. 1. By what percentage does the surface area of the cuboid increase compared to the original? Round the result to the nearest whole percent. 2. By what percentage doe - Dimensions - crate
A wooden crate with dimensions d=3 m, e=4 m, and f=3 m was placed in a transport container with dimensions a=10 m, b=4 m, and c=3 m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in th - Hexagonal packaging
The cardboard packaging without a lid has the shape of a regular hexagonal prism with a main edge that is 12 cm long and 15 cm high. How much cardboard is used to make five packages if 10% of the cardboard is added for folds? Give results in square decime - Map 2
At what scale is a map made if the distance 1.3 km corresponds to the map segment 4 cm long? - On vacation
Ivan and Katka discovered on vacation a regular pyramid whose base was a square with a side of 230 m and whose height was equal to the radius of a circle with the same area as the base square. Katka labelled the vertices of the square ABCD. Ivan marked on
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