Length + prime numbers - practice problems - page 2 of 3
Number of problems found: 55
- Pegs
From two sticks 240 cm and 210 cm long, it is necessary to cut the longest possible pegs for flowers so that no residues remain. How many pegs will it be? - 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? - Identical cubes
From the smallest number of identical cubes whose edge length is expressed by a natural number, can we build a block with dimensions 12dm x 16dm x 20dm? - 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)? - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - Flowerbeds
What is the smallest length of flowerbeds we must prepare to plant seedlings at grids of 20,30,25,40 cm? - Cutting paper
Divide a rectangular paper with dimensions 220mm and 308mm into squares of the same size so that they are as large as possible. Specify the length of the side of the square. - 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? - Craftsman 7263
To make a ladder, the craftsman needs to cut as many rungs of the same length as possible. He is to cut them from two boards, one is 220cm long, and the other is 308cm long. How long will the bars be, and how many will there 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? - Dimensions 7131
The paper has dimensions 220mm and 308mm. We need to cut it into as large a square as possible. What will be the side of this square? - Container
The container-shaped box with internal dimensions of 3.9 m, 3.25 m, and 2.6 m was completely filled with goods in the same cubic boxes. How long edge could this box have? - Minimum surface
Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area, into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm, respectively, can be packed. - 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? - 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? - Circumference of the garden
The garden is 90 m long. What is the smallest width if it is possible to walk (circumference) in steps of 80 cm or 50 cm? - Wide field
The field is 203 meters wide and 319 meters long. What is the greater length of the rope by which length and width can be measured? Find the exact number of times.
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