Themes, topics - math word problems - page 13 of 169
Number of problems found: 3370
- Equality of Moments
A lever with a mass of 3 kg and a length of 2 m has weights of 5 kg and 8 kg attached at its two ends. Find the point where the lever must be supported so that it is in balance. - Large 2
A large gear has 72 teeth, a medium gear has 56 teeth, and a small gear has 27 teeth. How many revolutions will the smallest gear make when the largest gear turns 120 times? - Into the bottle
A bottle can hold water weighing no more than 1 kg. Can the same bottle hold gasoline of the same mass? - Construct 22
Construct a rhombus ABCD if the diagonals are f = 7 cm and e = 5 cm. - Between terminals
A resistor is connected to a 220 V source. A current of 220 mA flows through the resistor. Determine the current that flows through the resistor when it is connected to a 24 V voltage source. - On a mass
Forces F₁ and F₂, each with a magnitude of 40 N, act on a mass point M. Their resultant has a magnitude of 60 N. Determine the angle between forces F₁ and F₂. - Police on time
A boat carrying smugglers has left the shore and is travelling at 85 km/h. After 10 minutes, a police boat starts chasing it at 110 km/h. International waters, where the possibility of apprehending the smugglers ends, begin 30 km from the coast. Will the - All zeros
How many zeros does the product of the numbers 10 × 11 × 12 × 13 × 14 × 15 × 20 × 21 × 22 × 23 × 24 × 25 end with? - Map - route
A map has a scale of 1:40,000. How many centimetres will a route of 4.8 km be shown as on the map? - Ice rink
A rectangular ice rink measuring 15 m × 20 m needs to be covered with a layer of ice 4.5 cm thick. How many litres of water are needed to create the ice? - Pack of cream
A mother uses one pack of cream in 12 weeks, and a daughter uses it in 14 weeks. They used the cream together for four weeks, after which only the daughter used it. How many more weeks did the cream last? - X-ray intensity
The intensity of X-ray radiation is halved when passing through a 13.5 mm thick lead layer. Determine the thickness of the lead plate that will reduce the radiation intensity to one tenth of its original value, given that the intensity decreases exponenti - In a football
In a football tournament of eight teams, where each team played each other exactly once, points were awarded as follows: the winner received 3 points, the loser received 0 points, and in the event of a draw, each team received 1 point. At the end of the t - Traffic accidents
Of the total number of traffic accidents, 80% occur within built-up areas and 20% outside them. If the number of traffic accidents within built-up areas were reduced by 40%, by what percentage would the total number of traffic accidents decrease? - Blueberries - total
Peter can fill a container with blueberries in 3 hours, and Jane in 2 hours. How long will it take them to fill the container together? - Horses 6
A farmer bought feed for 6 horses for 5 months. After two months, he sold 2 horses. How many months will the remaining feed last? - On a bicycle 5
Clara left the town square on her bicycle and rode toward the city at an average speed of 20 km/h. Johnny left the same square on his bicycle 15 minutes after Clara and rode in the same direction at an average speed of 30 km/h. How long did it take Johnny - Instantaneous water heater
Water flows into and out of an instant water heater simultaneously. If water only flows in, the empty heater would be filled in 18 minutes. If water only flows out, the full heater would be emptied in 20 minutes. How many minutes will it take to fill the - Cyclist 30 A cyclist covered a distance of 18 km in 32 minutes at a constant speed. What distance in kilometres would he have covered at the same speed in 80 minutes?
- We are delayed
A train had to travel the distance from A to B at an average speed of 56 km/h. After a 1.5-hour journey from station A, the train stopped for 30 minutes. To reach station B on schedule, it had to travel the remaining distance at an average speed of 63 km/
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