Unit conversion + greatest common divisor (GCD) - practice problems
Number of problems found: 16
- 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. - 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? - 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? - 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? - 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? - Hectares
The tractor plows on the first day of 4.5 ha, the second day of 6.3 ha, and the third day of 5.4 ha. It worked whole hours a day, and its hourly performance did not change and was the highest possible. How many hectares did it plow in one hour (what is it - Rectangular flowerbed
Around the rectangular flowerbed with dimensions of 5.25 m and 3.50 m, roses should be planted at the same distance from each other so that the roses are located in each corner of the flower bed and are consumed as little as possible. How far do we plant - Dimensions 6201
Mr. John's plot of land has dimensions of 252 dm and 28 m. How far apart must he place the fence posts, so they are the same distance on both sides? How many will he need to fence the entire property? - Pexeso
Drawing paper has dimensions of 60cm and 840mm. Pupils have to divide it into squares to make a pexeso. What dimension must squares have if their side is larger than 3cm and less than 10cm? - Paving - joints
We are paving with rectangular pavement 18 cm × 24 cm was placed side by side in height in a row and the second row in width etc. How many times will the joints meet at a distance of 10 m? - 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 - Gardens colony
The garden's colony, with dimensions of 180 m and 300 m, is to be completely divided into the same large squares of the highest area. Calculate how many such squares can be obtained and determine the length of the square side. - Square tiles
The room has dimensions of 12 meters and 5.6 meters. Determine the number of square tiles and their largest dimension to exactly cover the floor. - 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.
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