Unit conversion + prime numbers - practice problems
Number of problems found: 40
- Paper
The drawing paper has dimensions 220mm and 308mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares. - Steps
Peter makes steps long 70 cm, John 45 cm long. After how many meters do their footsteps meet? - Tram stop
The blue tram stops every 12 minutes, the red one for 8 minutes. At 8 o'clock, they left the stop together. How many times do they meet at a stop before 11 AM? - Buses 4
Intervals: 1st bus 40 min. 2nd bus 2h 3rd bud 20min How long will it take them to meet - as soon as possible? - Together 5863
Bus A will travel its route in 15 minutes, and bus B will travel its way in 25 minutes. They left together for the first time at 5 a.m. When will they meet again at the site? - The classroom
The classroom is 9 meters long. The width of the classroom is smaller and can be passed in equally long steps of 55 CM or 70 CM. Find the width of the classroom. - Blades
1st blade 2,5 m, 2nd blade. .1.75 m. How many can the same long pieces of these two blades do the biggest? How long is one piece? - Together 36443
Three buses are leaving the bus station. The circuit of the first bus lasts 1 hour, 24 minutes, the second 150 minutes, and the third 2 hours. When will they leave together? - Two buses
The first bus runs for 15 minutes. The second bus runs after 21 minutes. Together they both leave at 7:00 on Monday. When and what day will they meet? - Newspapers 5601
Four deliver newspapers. One takes 60 minutes, the second 40 minutes, the third 120 minutes, and the fourth 80 minutes. If they left at the same time, at 8 o'clock, when will they meet again at the place they left? - Trolleybus 7058
The trolleybus and the city transport bus left the terminal station at 6:00 a.m. at the same time. Both will return to it again by trolleybus after 40 minutes of travel, bus after 55 minutes of travel. At what time will both means of transport meet again - Drivers
Driver Franta and driver Karel are friends. They leave the start-stop at the same time in the afternoon - at 13.30. When will they meet again if Franta goes around his route in 50 minutes and Karel in 40 minutes? - Three buses
Three public transport buses depart together from the bus station in the morning. The first bus returns to the station after 18 minutes, the second after 12 minutes, and a third after 24 minutes. How long will again together at the station? Please express - Intervals 3044
At 9:00 a.m., three local buses met at the stop. The first bus has intervals of 20 minutes, the second every 25 minutes, and the third every 30 minutes. At what time will they meet again at this stop? - Leftovers 43921
There is less than 50 m of fabric in the package. If we cut only for blouses or only for dresses, we will not have any leftovers. 1.5 m of fabric is used for one blouse and 3.2 m for one dress. Determine the amount of fabric in the package. - Intervals 12201
Trams of five lines run at intervals of 5, 8, 10, 12, and 15 minutes. At noon they left the station at the same time. What time will they meet again? How many times will each tram pass the stop during that time? - Altogether 82457
Mr. Novák needs three wooden poles 21 dm, 350 cm, and 2.8 m long. He needs to cut them into smaller pieces of the same length, as long as possible. How long will he get and how many pieces will he have altogether? - The tailor
The tailor estimated the rest of the fabric in the package at 11 m. By measuring, he found that he could cut the same pieces of this fabric without a residue in 150 cm or 210 cm increments. How many meters of fabric were in the package? - Trolleybuses 14313
Trolleybuses on different lines depart from the same terminal station at 4:10 in the morning. The first returns to the final station regularly in 1 hour, the second in 40 minutes, the third in 2 hours, and the fourth in 1 hour and 20 minutes. At what time - Four poplars
Four poplars are growing along the way. The distances between them are 35 m, 14 m, and 91 m. At least how many poplars need to be dropped to create the same spacing between the trees? How many meters will it be?
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