Prime numbers + divisibility - practice problems - page 9 of 11
Number of problems found: 212
- Troops
If the general sorts troops into the crowd by nine, left 6. How many soldiers have the regiment if we know they are less than 300? - Trams
Tram no. 3,7,10,11 rode together from the depot at 5 AM. Tram No. 3 returns after 2 hours, tram No. 7 an hour and a half, no. 10 in 45 minutes, and no. 11 in 30 minutes. For how many minutes and when do these trams meet again? - 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 - Matches
George poured out-of-the-box matches and composed their triangles, and no match was left. Then he tried squares, hexagons, and octagons, and no match was left. How many matches must be at least in the box?
- Bundle of candies
The store has 168 chocolates, 224 caramel candies, and 196 hard candies. How many packages can we do, and how many candies will be in each package? - Ski tow
The ski club has 168 pupils and uses a lift with 60 seats, while students always follow the same sequence in filling seats. How often while riding a ski lift has the skier sitting in the same seat as the first run? - The exhibition
The teacher paid 280 CZK for four students for admission to the exhibition. How many students were at the exhibition? Hint: admission cost is a whole number. - Three Titanics
Three steamers sailed from the same port on the same day. The first came back on the third, the fourth 4th day, and the third returned on the sixth. How many days after leaving, the steamers meet again in the harbor? - Grandson and granddad
Grandson with grandpa, they counted how many years have together. Their product is 365. How many years is the sum of their years?
- Tiles
The room has dimensions of 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover the room's floor. - 9.A
Class 9A attends more than 20 students but fewer than 40 students. A third of the pupils wrote a math test to mark 1, the sixth to mark 2, and the ninth to mark 3. No one gets mark 4. How many students of class 9A wrote a test to mark 5? - Numbers
Write the smallest three-digit number in divisions 5 and 7, and gives the rest 2. - Four-digit number
Find a four-digit number, which quadrupled written backward is the same number. - Parachutists
During freefall, parachutists were first held in groups of 4, then 6, then 9, 12, and finally 18 members. How many parachutists jump at least should be, if at each group must all be involved.
- Florist's
The flower shop has 72 white and 90 red roses. How many identical bouquets can they most tie together so that all the roses are used? - Tailor master
There are less than 50m of textile in the tailoring workshop. No textile is left when cutting on a blouse (consumption 1.5m). No textile is left when using a cloth (consumption of 3.2m). How many meters of textiles are in a tailor's workshop? - Plumber
The plumber had to cut the metal strip with dimensions of 380 cm and 60 cm to the largest squares to no waste. Calculate the length of the sides of a square. How many squares cut it? - Spartakiada
Practitioners lined up in rectangles with a row with four, five, or six exercisers, one always missing an entire rectangle. How many exercisers were on the field, if they have estimated not been more than 100? - Around the flowerbed
Around a rectangular flowerbed with dimensions 5.25 m and 3.5 m are to be planted roses equally spaced so that the roses are found in every corner of the flowerbed and consumed as little as possible. a) At what distance are planted roses? b) How many rose
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