Prime numbers + unit conversion - 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. - Morning 82968
The new truck makes one trip with sand in 18 minutes, and the older truck takes one-third as long to make one trip. Both will leave at the same time in the morning. How long will it take for them to meet again, and how many times will they meet in an eigh - 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? - Dimensions 80848
We want to cover a wall with dimensions of 4m x 250cm with square marble tiles with the largest possible dimensions of the sides of the tiles so that there are no losses caused, for example, by cutting them during tiling. How many tiles will we need for t
- Owl A,B,C
Owl a gives a hoot every 7 minutes. Owl b gives a hoot every 9 minutes. Owl c gives a hoot every 5 minutes except when he has heard owl a or b give a hoot within the previous 2.5 minutes. If this happens, owl c doesn't give a hoot. If all three owls give - Lengths 69314
We must cut three steel bars with 24 dm, 3 m, and 160 cm lengths into equal lengths. Find their maximum length and number. - 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? - Eights of butter
How many eights of butter (1/8 of kg = 125 g) can be stored in a box with dimensions of 4 dm, 2 dm, and 1.8 dm if an eighth of butter has dimensions of 8 cm, 5 cm, 3 cm? - Smallest 44681
What is the smallest width of the pool to be divided without rest into equally wide tracks, either 80cm or 1m, or 120cm?
- 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. - 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. - 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? - Intervals 27081
Three lines depart from the bus terminal at 5:30 in the morning. At what time will all three buses meet again at the terminus first, if one has intervals of 10 minutes, the second 12 minutes, and the third 15 minutes? - 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?
- 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? - Destination 18323
The family went on a trip to a ruin 6 km away. The father had a step length of 0.75 m, the mother of 0.6 m, and little Eva 50 cm. They went out on the same step. How many times did their steps retrace before reaching their destination? - 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 - 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? - Terminal 8255
Two trams left the station at 9 o'clock. Line 1 goes around the track in 96 minutes. Line 2 returns to the final in 72 minutes. At what time do both teams meet again at the same terminal?
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