Least common multiple (LCM) - practice for 11 year olds - page 7 of 8
Number of problems found: 146
- Dressmaker
The dressmaker left a piece of canvas shorter than 5 meters. She is deciding whether it sew a skirt or dress. The canvas was exactly as much as they consumed had cut up her skirt to 120 cm, or 180 centimeters. What a piece of canvas left her? - Trams 2
Square passes two lines of the tram. One is running every nine minutes, the second interval of 15 minutes. Exactly at noon arrived two tram lines in the square. How soon should a similar situation arise again? - Apples 2
How many minimum apples are in the cart? If possible, is it completely divided into packages of 6, 14, and 21 apples? - 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?
- Buses
At the bus stop at 10 o'clock met buses No. 2 and No. 9. Bus number 2 runs at an interval of 4 minutes and bus number 9 at intervals of 9 minutes. How many times does the bus meet at 18:00 local time? - 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? - 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?
- Lesson exercising
In the lesson on physical education, pupils are first divided into three groups so that each has the same number. They redistributed, but into six groups. And again, it was the same number of children in each group. Finally, they were divided into nine eq - 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? - 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? - Buses
Buses Ikarus and Karosa simultaneously started at 8:00 from the final station. Ikarus is returned to the station after 30 minutes. Karosa after 45 minutes. At what time do both buses again return to the station? - 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 - Square room
What is the size of the smallest square room, which can be paved with tiles with dimensions of 55 cm and 45 cm? How many such tiles are needed?
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