Themes, topics - math word problems - page 14 of 169
Number of problems found: 3370
- On the board
A division problem with two positive numbers was written on the board. David noticed that if he increased the dividend by 2 and the divisor by 7, the quotient would not change. By how much should the divisor be increased so that when the dividend is incre - Green
The green combine harvests a field in 18 hours. If it works together with the red combine, they harvest the field in 6 hours. How long would it take the red combine to harvest the field alone? - Express the unknown
Using the formula p = F ÷ S, express the unknown F. - Condensation
How many litres of water must be evaporated from 400 kg of a 10% soda solution to obtain a 16% solution? - Diagonals
Construct a rhombus whose diagonals have lengths of 10 cm and 8 cm and make an angle of 115° with each other. - Train - start-up
A train weighing 1,200 tonnes is supposed to reach a speed of 15 m/s in 45 s when starting up. Determine its acceleration and the magnitude of the force it must exert if the friction force is 0.005 of the train's weight. - A car acceleration
A car increased its speed from 21.6 km/h to 108 km/h over a 54-metre-long track. Determine its acceleration, assuming that the motion is uniformly accelerated. - Preparing the mixture
The seller prepared 25 kg of a mixture priced at 264 CZK per kg. The first type cost 180 CZK per kg and the second 390 CZK per kg. How much of each did he need? - Heating water
5 kg of water warmed up by 10 °C. How much heat did the water absorb? (Remember that 1 kg of water requires 4,200 J of heat to raise its temperature by 1 °C.) - In an electrical 3
In an electrical circuit, R₁ = 4,000 Ω, R₂ = 8,000 Ω, and R₃ = 6,000 Ω are connected in series. The power supply has a voltage of 100 V. Calculate the voltage across R₁, R₂, and R₃. - Workers
The first worker can complete a job in 40 hours, the second in 50 hours, and the third in 80 hours. How long will it take them to complete the job if they all work together? - Shear friction
How much force must be applied to a box weighing 300 kg to move it at a constant speed along a horizontal floor, if the coefficient of sliding friction between the box and the floor is 0.5? - Princesses
Princesses Anna and Elsa are picking strawberries, which have ripened in huge quantities after a long winter. Anna can pick one bed in 120 minutes, and Elsa is faster and can finish an equally large bed in 15 minutes. How many minutes would it take the ro - MO Z7 2025
Adela and Susan ate plums. On the first day, Adela ate three quarters of what Susan ate that day. On the second day, Susan ate three halves of what Adela ate that day. Together, they ate 31 plums over the two days, and each girl ate a whole number of plum - Heating 2
The heating element of a stove has an electrical resistance of 80 ohms and is connected to a voltage of 230 V. Calculate the electrical energy consumed in a year (365 days) if it is switched on for 2 hours a day. How much will the energy consumed cost if - Create 2
Create a suitable table and fill in the data: Producing four machines takes a total of 80 hours. Each machine takes the same amount of time to produce. How long does it take to produce 1 machine, 2 machines, and 5 machines? - Air 2
The air distance between New York and Los Angeles is 3,962 km. How many km does 1 cm on a map represent if the map scale is 1:1,000,000? - Spiral - iron
An electric iron is connected to a 230 V power source. Its heating element has an electrical resistance of 100 ohms. Calculate the power of the iron and the electric current flowing through the element. - Factorization and primes
How many times does the digit 2 appear in the prime factorisation of 2,024? - Tank 28
A tank fills in 120 hours. When drained for irrigation, it empties in 10 days. How long will it take to fill if filling and draining occur simultaneously?
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