Natural numbers + prime numbers - practice problems - page 14 of 16
Number of problems found: 306
- 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. - MO C–I–1 2018
An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones. - Morning 82968
The new truck makes one trip with sand in 18 minutes, and the older truck takes one-third as long to make one trip. Both will leave at the same time in the morning. How long will it take for them to meet again, and how many times will they meet in an eigh - 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?
- 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? - Two rulers
We have two rulers. Scale interval on the first rulers is a spaced 1 cm and on the second is 15 mm. Rulers are attached to match initial divider commas. What next dividers commas coincide? Find at least three cases. - Trolleybuses 14313
Trolleybuses on different lines depart from the same terminal station at 4:10 in the morning. The first returns to the final station regularly in 1 hour, the second in 40 minutes, the third in 2 hours, and the fourth in 1 hour and 20 minutes. At what time - What fraction
What fraction of numbers 1 to 30 is prime? - Z7-I-4 stars 4949
Write instead of stars digits, so the next write of the product of the two numbers is valid: ∗ ∗ ∗ · ∗ ∗ ∗ ∗ ∗ ∗ ∗ 4 9 4 9 ∗ ∗ ∗ ∗ ∗ ∗ 4 ∗ ∗
- Different 29943
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"? - Six-digit primes
Find all six-digit prime numbers that contain each one of digits 1,2,4,5,7 and 8 just once. How many are they? - Drivers
Driver Franta and driver Karel are friends. They leave the start-stop at the same time in the afternoon - at 13.30. When will they meet again if Franta goes around his route in 50 minutes and Karel in 40 minutes? - Three buses
Three public transport buses depart together from the bus station in the morning. The first bus returns to the station after 18 minutes, the second after 12 minutes, and a third after 24 minutes. How long will again together at the station? Please express - Trolleybus 7058
The trolleybus and the city transport bus left the terminal station at 6:00 a.m. at the same time. Both will return to it again by trolleybus after 40 minutes of travel, bus after 55 minutes of travel. At what time will both means of transport meet again
- The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor, no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in - Different 6975
Three different bus lines, 80, 81, and 82, depart from the final station at 5h 20min. Line 80 departs every 30 minutes, line 81 every 20 minutes, and line 82 every 40 minutes. What time will they leave again? - Cuboid
The volume of the cuboid is 245 cm³. Each cuboid edge length can be expressed by an integer greater than 1 cm. What is the surface area of the cuboid? - Newspapers 5601
Four deliver newspapers. One takes 60 minutes, the second 40 minutes, the third 120 minutes, and the fourth 80 minutes. If they left at the same time, at 8 o'clock, when will they meet again at the place they left? - Average monthly salary
A total of 10 teachers work at one small school in Moravia. The monthly salary of each is 21,500 CZK or 21,800 CZK or 22,500 CZK, according to their education and age. The average monthly salary for this school's teacher is 21 850 CZK. How many teachers o
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Natural numbers - math word problems. Prime numbers - math word problems.