Prime numbers - math word problems - page 14 of 25
Number of problems found: 493
- Exercisers
How many exercisers are in the gym (minimum number) if there is one left after ordering into three, four, and five steps?
- Interested 7090
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
- 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
- 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?
- Athletes
At the stadium, athletes could enter two-steps, three-steps, four-steps, five-steps, and six-steps. There were more than 100 but less than 200. How many athletes were there?
- 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?
- Inverted nine
In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1, 8, 7, 4,9?
- PIN code
The PIN on Michael's credit card is a four-digit number. Michael told his friend: • It is a prime number - a number greater than 1, which is only divisible by the number one and by itself. • The first digit is larger than the second. • The second digit is
- Two buses
The first bus runs for 15 minutes, and the second bus runs after 21 minutes. Together, they both leave at 7:00 on Monday. When and what day will they meet?
- Container
The container-shaped box with internal dimensions of 3.9 m, 3.25 m, and 2.6 m was completely filled with goods in the same cubic boxes. How long edge could this box have?
- Minimum surface
Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm, respectively, can be packed.
- Diofant equation
250x + 120y = 5640
- Cube root
Find the cube root of 18
- Counting number
What is the smallest counting number divisible by 2,5,7,8 and 15?
- Sum of two primes
Christian Goldbach, a mathematician, found out that every even number greater than two can be expressed as a sum of two prime numbers. Write or express 2018 as a sum of two prime numbers.
- 7 digit number
If 3c54d10 is divisible by 330, what is the sum of c and d?
- Prime factors
Write 98 as a product of prime factors.
- Two rectangles
I cut out two rectangles with 54 cm² and 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together, I get a rectangle with an area of 144 cm². What dimensions can this large rectangle have? Write all options. Explain your
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