Natural numbers + prime numbers - practice problems - page 5 of 16
Number of problems found: 307
- The drama club
The drama club meets in the auditorium every six days, and the choir meets there every five days. If the groups are both meeting in the auditorium today, then how many days from now will they next have to share the auditorium? - 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? - Digits of age
The product of the digits of Andrew's age six years ago is the same and not equal to 0. Andrew's age is also the youngest possible age with these two conditions. After how many years will the product of the digits of Andrew's age again be the same as toda - Three-step 78424
In the physical education lesson, students entered the two-step, three-step, four-step, six-step, and eight-step classes, but there was always one student left. How many students practiced if there were more than 40 and less than 50?
- Together 40541
The first bus leaves every 10 minutes, the second every quarter of an hour, and the third every 18 minutes. At noon, all three lines left together from the station U Kachny. At what time did all the lines go again at the same time? - Individual 4881
There are 32 rooms in the hostel. Some have double beds, others have four beds and the rest have 7 beds. There are a total of 139 beds in the hostel. How many are there if a two-digit number gives the numbers of individual species? - Organizes 4152
Shepherd has less than 500 sheep. If he organizes them in 4 rows, he will remain three sheep. If he manages them in 5 rows, he will remain four sheep. If he arranges them in 6 rows, he will remain five sheep. But it can manage them exactly in 7 rows. How - Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits, but in reverse order, we get product 3 478. Find the original number. - Competition 5095
Ninety boys and 48 girls signed up for the sports competition. How many members of boys' and girls' teams can we assemble so that they have the largest number of members and the same number of members in the boys' and girls' teams?
- Performance 57041
We are planning a dance performance at the school academy. How many students have to take part in it if we want them to be able to split into groups of four, six, and twelve? - Regularly 7749
Three steamers leave the port. The first regularly returns after three months, the second after four, and the third after six months. How long before they meet again in the port? - Participate 5543
The dance group is preparing for a performance. The program includes dances in pairs, fours, and fives. How many members does a group have to have to dance all these dances and have all their members participate in each dance? - Revolutions 4145
Kamil was on a cyclist trial. Under the hill, he set the front gear to a 42-tooth cog and the rear to a 35-tooth cog. After how many revolutions of the front gear will both wheels reach the same relative position? - Parakeets 80471
Mr. Spacek keeps birds. It has more than 50 and less than 100. Parakeets make up a ninth and canaries a quarter of the total. How many birds did he keep?
- Ratio
Alena collected 7.8 kg of blueberries, 2.6 kg of blackberries, and 3.9 kg of cranberries. Express the ratio in the smallest natural numbers in this order. - LCD two fractions
What is the least common denominator of 11/15 and 12/19? - Dinosaurs
More than 30 and less than 60 dinosaurs have met at the pond. A quarter of them bathed and 1/7 saws, and the rest gripped. How many were at the pond? How many were there? - Florist
The florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses? - 3 buses
Morning at 5:00 am, three buses started from one place. The first travel in five-minute intervals, the second at 10-minute intervals, and the third at 25-minute intervals. At what hour will the three buses again come from the same place?
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