Prime numbers - math word problems - page 15 of 27
Number of problems found: 540
- 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? - Bricks pyramid
How many 50 cm x 32 cm x 30 cm bricks are needed to build a 272 m x 272 m x 278 m pyramid? - Year 2018
The product of the three positive numbers is 2018. What are the numbers? - Ladder rung cutting
To make a ladder, the craftsman needs to cut as many rungs of the same length as possible. He is to cut them from two boards, one is 220 cm long, and the other is 308 cm long. How long will the bars be, and how many will there be? - LCD two fractions
What is the least common denominator of 11/15 and 12/19? - Trees in alley
There are four trees in the alley between which the distances are 35 m, 15 m, and 95 m. Trees must be laid in the spaces so that the distance is equal and maximum. How many trees will they put in, and what will be the distance between them? - Z7–I–5 MO 2018
At the Rose garden centre, one shop ordered a total of 120 roses in red and yellow, the second shop a total of 105 roses in red and white, and the third shop a total of 45 roses in yellow and white. The garden centre fulfilled the order, in such a way tha - Hectares
The tractor plows on the first day of 4.5 ha, the second day of 6.3 ha, and the third day of 5.4 ha. It worked whole hours a day, and its hourly performance did not change and was the highest possible. How many hectares did it plow in one hour (what is it - On the bed
We want to plant several rows of cauliflower seedlings and several rows of lettuce seedlings alternately on the bed. The cauliflower seedlings are planted 45 cm apart, the lettuce seedlings 25 cm apart. Planting seedlings of both types of plants starts fr - Trams Cycle Meeting Time
Three trams left the tram depot at once. The first has a 20-minute cycle, the second a 40-minute cycle, and the third a 65-minute cycle. After how many minutes will the same trams meet if they run continuously (drivers take turns)? - 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. - Paper Cut Largest Square
The paper has dimensions of 220 mm and 308 mm. We need to cut it into as large a square as possible. What will be the side of this square? - Prime number
Jan wrote any number from 1 to 20. What is the probability that he wrote the prime number? - Exercisers
How many exercisers are in the gym (minimum number) if there is one left after ordering into three, four, and five steps? - Z7–I–1 MO 2018
A single digit different from zero is written on each of three cards (the digits on different cards are not necessarily different). We know that any three-digit number formed from these cards is divisible by six. Moreover, a three-digit number divisible b - Bombastic number
We call a natural number N bombastic if it contains no zero in its notation and if no smaller natural number has the same product of digits as the number N. Charles first became interested in bombastic prime numbers and claimed that there were not many of - Z7–I–4 2018 MO Betka
Karel was playing with gears assembled into a gear train. When he turned one wheel, all the others turned too. The first wheel had 32 teeth and the second had 24 teeth. When the third wheel (which is in the middle of the gear train) made exactly eight ful - Bus Trolley Meeting Time
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 - Dance ensemble
The dance ensemble took the stage in pairs. During dancing, the dancers gradually formed groups of four, six, and nine. How many dancers have an ensemble? - Clock's gears
In the clock machine, three gears fit together. The largest has 168 teeth, the middle 90 teeth, and the smallest 48 teeth. The middle wheel turns around its axis in 90 seconds. How many times during the day do all the gears meet in the starting position?
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