Basic operations and concepts - math word problems - page 213 of 322
Number of problems found: 6439
- Calculation 3620
The mine foreman calculated that 2 pumps must be in operation for 17.5 hours to drain the tunnel. He wanted to speed up the emptying of the shaft and added 3 more identical pumps. How long will it take to empty the shaft? Please also show your calculation - Calculate 2482
The train left Košice at 2:45 PM to Poprad, 120 km away. At 5:45 PM, we met in Poprad with an oncoming train from Žilina, 140 km from Poprad. Calculate what time the train left Žilina if you know that it was 8 km/h faster than the train from Košice. - Z9–I–4 MO 2017
Numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 were prepared for a train journey with three wagons. They wanted to sit out so that three numbers were seated in each carriage, and the largest of the three was equal to the sum of the remaining two. The conductor sai - Elevator efficiency
To what height will an elevator motor with a power of 25 kW and an efficiency of 48.6% transport a cabin weighing 445 kg with seven people (the average weight of one person is 64 kg) if it takes 54 seconds? - Concerning 6294
Two isosceles triangles have the same angle at the apex concerning the base. One has a 17 cm long arm and a 10 cm long base. The second has a base length of 8 cm. Determine the length of his arm. - Sputnik
The first Earth satellite was flying at a speed of 8000 m/s. At that rate, he circled the Earth in 82 minutes. Jet flies at an average speed of 800 km/h. How long would it take to circle the Earth around? - Pupils - dataset
The following data on the height and the corresponding number of pupils were found in the measurement of 63 pupils: the height; number of pupils 159cm; 1 161cm; 1 162cm; 2 163cm; 1 164cm; 2 165cm; 2 166cm; 3 167cm; 2 168cm; 4 169cm; 3 170cm; 5 171cm; 6 17 - Beta's number
Beta thought of a natural number with different digits and wrote it on the board. Below wrote the digits of the original number on the back and thus got a new number. By adding these two numbers, he got a number with the same number of digits as the inten - Supporting 82880
Roman and Mathias made a swing in the park by taking a 5 m-long pole and supporting it in the middle. Roman, weighing 52 kg, sat down at the left end. Where should Mathias sit to achieve balance if he weighs 60 kg? Enter the distance measured in meters fr - Nitrogen gas
In a cylinder with a piston, there is nitrogen N2 with a volume of 5 liters, a temperature of 25 degrees Celsius, and a pressure of 200 kPa. We very slowly compress the gas in the cylinder to half its volume while its temperature does not change. Determin - Electric cooker
During which time does an electric cooker with power input P = 500 W and efficiency n = 75% heat water with mass m = 2 kg and temperature t1 = 10°C to the boiling point (t2 = 100°C)? The specific heat capacity of water is c = 4 180 J/kg/K. - Trains for people
It is said that the train is synonymous to delay. Calculate the average travel speed by train long 85 km, with a regular train leaving at 7:00 and arriving at 8:18, but the train is late and has a departure at 8:10 and arrives at 9:27. - Probability 63304
One hundred fifty pupils go to the 9th year of primary school. Of these, 66 have no siblings, 39 pupils have one sibling, 18 pupils have two siblings, and the remaining pupils have more siblings. What is the percentage probability that a randomly selected - Relay
The relay race will be run for the class of Katka, Alice, Michaela, and Erika. Determine how many different orders there are in which the girls can run, as long as each of them can run in any position. - A committee
A committee of 6 is chosen from 8 men and 7 women. If a particular man must be included, find how many committees are possible. - Research in school
For particular research in high school, four pupils are selected from a class of 30 pupils. Calculate the number of all possible results of the selection and further calculate the number of all possible results if it depends on the order in which the stud - Sequentially 63274
In the pocket, there are six tickets marked with numbers 1 to 6. How many ways can we sequentially, taking into account the order, select 3 of them if the chosen tickets do not return to the pocket? - Tournament's 32031
Twelve men and four women attended the chess tournament. How many different women's placements can be in the tournament's final table if no two participants have scored the same number of points? - Participants 8335
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? What is the prize for 15 participants in the competition? - Dining 5004
The dining room offers three types of soups and four types of main courses. How many ways can we choose soup and the main course?
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