Length + least common multiple (LCM) - practice problems
Number of problems found: 31
- Rectangular 82582
We have to pave the smallest possible square with rectangular tiles with 168 cm and 280 cm sides. What will its side of the square be? - Rectangle-shaped 80074
Pupils had to stack rectangle-shaped pictures with dimensions of 210mm and 84mm so as to cover the square. What is the smallest square we can cover like this, and how many images do we need? - 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? - A rope
Paul can cut a rope into equal lengths with no rope left over. The lengths can be 15cm, 18cm, or 25cm. What is the shortest possible length of the rope?
- 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. - Determine 36601
The plumbers have to cut sheet metal measuring 220 cm and 308 cm into squares of equal size so that the squares are as large as possible and the sheet metal is used without residue. How many such squares will they cut? Determine the side of this square. - 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. - Tractor wheels
The tractor's front wheel has a circumference of 18 dm and the rear 60 dm. We will make a red mark on the lowest point of both wheels. The tractor then starts. At what distance from the start will both marks appear identically at the bottom again?
- Two gears
Two gears with 13 and 7 teeth rotate locked into each other. We want both wheels to be in the starting position again. How many turns does a big wheel have to make? - Actions 19163
Peter went for a walk with his younger brother Jirka. Peter makes steps 70 cm long, Jirka 45 cm. How many meters do their actions meet again if they walk the same foot? - 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? - Length of a string
What are the smallest string length we can cut into 18 equal parts and even 27 equal parts (in decimeters)? - Flowerbeds
What is the smallest length of flowerbeds we must prepare to plant seedlings at grids of 20,30,25,40 cm?
- 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? - Trees in alley
There are four trees in the alley between which the distances are 35m, 15m, and 95m. Trees must be laid in the spaces so that the distance is equal and maximum. How many trees will they put in, and what will be the distance between them? - Glass panel
A rectangular glass panel with dimensions of 72 cm and 96 cm will cut the glazier on the largest square possible. What is the length of the side of each square? How many squares does the glazier cut? - 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? - Individual 6270
Divide three lines with lengths of 12 cm, 24 cm, and 64 cm into equally long and, at the same time, the most extended possible parts. How long will the individual parts be, and how many will there be?
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