Basic operations and concepts - math word problems - page 292 of 332
Number of problems found: 6633
- Z7–I–4 2018 MO Betka
Karel was playing with gears assembled into a gear train. When he turned one wheel, all the others turned too. The first wheel had 32 teeth and the second had 24 teeth. When the third wheel (which is in the middle of the gear train) made exactly eight ful - Digits
Write the smallest and largest 2-digit natural number. - Gold ring
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i - Wagons and cranes
The same cranes are unloading 96 wagons. There would be fewer wagons for each crane if there were two more cranes. How many cranes were there? - Engine power
Calculate the engine power of a truck moving at a constant speed of v= 30 km/h on a road with a 5% gradient when the weight of the truck with the load m= 5000 kg! - Seven workers
Seven workers clear the glade in 22 hours. How many workers would be needed to complete the task in 8 hours? - Cube cuboid minimum
Let us have a cube whose edge length is expressed in centimeters and is a natural number. What is the smallest number of such identical cubes that can be made into a cuboid with dimensions of 24 cm, 32 cm, and 60 cm? How long will the edge of these cubes - The pool - optimization
A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Earth's diameter
The Earth's diameter on the equator is approximately 12750 km. How long does the Gripen fly over the Earth above the equator at 10 km if it is at an average speed of 1500 km/h? - Hexagons
There is a square ABCD, a square EFGD, and a rectangle HIJD. Points J and G lie on side CD, with DJ less than DG, and points H and E lie on side DA, with DH less than DE. We also know that DJ equals GC. Hexagon ABCGFE has a perimeter of 96 cm, hexagon EFG - Sewerage
A heavy rain came onto a football pitch with dimensions 110 m x 70 m and during 15 minutes water fell to a height of 80 mm on each m². The pitch is constructed so that it is drained and water can flow away through 4 channels, each with an internal cross-s - There 26
There are 200 sweets in a jar, measured to the nearest 10. They weigh 600 grams to the nearest 10 grams. What is the least possible mass of each sweet in grams? 2 d. p - Cube weight edge
The cube with an edge of 1 cm weighs 0.2 kg. What is the weight of a cube made of the same material with an edge 4 cm long? - Cube volume increase
The edge of an 8 cm cube is increased by 20%. By how much does the volume increase compared to the original cube? - Sphere radius
We reduce the radius of the sphere by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Cube surface area
The cube's surface was originally 216 centimeters square. It has shrunk from 216 to 54 centimeters square. Calculate the percent change in the edge of the cube. - Martin history grades
Martin has an arithmetic average of 2.8 out of five history grades. If he only gets one from now, how many ones would he have to get at least so that the arithmetic mean of his history grades is less than 2? - Lottery
The lottery is 47000 elk, in which 4800 wins. What is the probability that the purchase of 6 elks won nothing? - Ice Cream Cones Volume
How many cone-shaped cones will we have to take to fill 20 l of creams (to the brim) if the cone has an inner base diameter of 6 cm and a height of 8 cm. Make a drawing, and write the answer. - Cleaner injury hours
Four cleaners will clean the hotel in 15 hours. How long will they clean if, after 8 hours, one gets injured and leaves?
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