Prime numbers - practice problems - page 9 of 25
Number of problems found: 493
- The classroom
The classroom is 9 meters long. Its width 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? - The land
The owner wants to divide the land with dimensions of 220 m and 308 m into equally large square plots with the largest possible area. How long will one side of the plot be? - Three-fifths 34771
Calculate three-fifths of the ratio of the product and the sum of all prime divisors of 240.
- Four-sevenths 34451
In how many parts do I have to divide the line whose endpoints are the images of the numbers 0 and 1 on the number axis so that they can be displayed: three-fifths, four-sevenths, five-eighths, and six-sixths - Square gardens
The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the square's side length. - Rectangles - integers
How many different rectangles with integer side lengths have an area S = 60 cm²? - Prime divisors
Find 2/3 of the sum's ratio and the product of all prime divisors of the number 120. - Chairs
The two dining rooms in the recreational building have equally arranged chairs around the tables. A maximum of 78 people can dine in the first dining room and 54 in the second. How many chairs can be around one table?
- Summer camp
Some boys or girls signed up for the summer camp, which has a maximum capacity of 200 children. The main leader noticed that during the evening start, he could arrange the participants exactly in the twelve-step, sixteen-step, or eighteen-step, and no one - 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? - Three
Three buses follow the same circular route. The first driver is the slowest because he has many stops, and it takes him 90 minutes to cross the route. The second driver will pass the circuit in 1 hour. The third driver has the fewest stops, and the circui - 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?
- Divisible by nine
How many three-digit natural numbers in total are divisible without a remainder by the number 9?
- Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs. - 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? - Three ships
There are three ships moored in the port, which sail together. The first ship returns after two weeks, the second after four weeks, and the third after eight weeks. In how many weeks will the ships meet in the port for the first time? How many times have - Non-repeating 30101
1. How many different options are there for exchanging a ten-euro bill with one-euro, two-euro, and five-euro bills? a) 5 b) 8 c) 14 d) 10 2. How many non-repeating three-digit numbers can be written using odd digits? a) 999 b) 225 c) 60 d) 25 - Census pyramid
Vojta added five different prime numbers to the top row of the census pyramid. Their sum was 50. What was the biggest number he could get "down"?
1. What is the probability that we write an even number from the numbers from 1 to 20? 2. We randomly draw one ticket From the eighteen tickets numbered 1 - 18. What is the probability that the ticket drawn will have: a) a number divisible by 3 c) a primeDo you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
