Prime numbers - math word problems - page 17 of 24
Number of problems found: 461
- Motorcycles 4313
Three racing motorcycles drive at different speeds on the autodrome. One motorcycle can go around the circuit in 2 minutes, the second in 4 minutes, and the third in 7 minutes. If all three bikes enter the race track simultaneously, how long before they a - Centipede 4257
Centipede Mirka consists of a head and several articles. Each pair has one pair of legs. When it got cold, she decided to get dressed. Therefore, she put on a sock on her left foot in the third article from the end and then on every other third article. S - Symmetry
Eva loves symmetry in shapes and numbers. Yesterday she invented an entirely new kind of symmetry - divisible symmetry. She wrote all five-digit numbers with different digits with the following property: The first digit is divisible by 1, the second by 2, - Neither 4182
Hanka gave Simon a riddle: guess a pair of numbers whose GCD is 7, and LCM is 90. Katy wanted Šimon to guess such a pair for which GCD is 7, and LCM is 91. Which riddle could Šimon guess? A: Katy B: Hankina C: neither D: Both
- Organizes 4152
Shepherd has less than 500 sheep. If he organizes them in 4 rows, he will remain three sheep. If he manages them in 5 rows, he will remain four sheep. If he arranges them in 6 rows, he will remain five sheep. But it can manage them exactly in 7 rows. How - Revolutions 4145
Kamil was on a cyclist trial. Under the hill, he set the front gear to a 42-tooth cog and the rear to a 35-tooth cog. After how many revolutions of the front gear will both wheels reach the same relative position? - Summands
Find two summands of the number 42 so that its product is minimized. - Measured 4046
Peter cut the two bars into equal parts but made them as large as possible. One rod measured 42 cm, the other 63 cm. How many cuts did he have to make? - Maximally 4036
Mr. Novák wants to pave the terrace with tiles of two sizes to be as small as possible. Its terrace is square with a side 3 meters long. There is a wall of the house on two sides of the terrace. Next to the wall, he wants to put small tiles, the rest larg
- Odd-numbered 4033
Mr. O. came up with two codes for the vault, which he alternates after a week. Both codes have the product of the digit 120. In an even week, it uses the smallest possible number as the code with this property. In the odd week, the largest. No number 1 in - Ornamental shrubs
Children committed to planting 240 ornamental shrubs. Their commitment, however, was exceeded by 48 shrubs. Write the ratio (r) of actually planted shrubs and commitment by the lowest possible integers a/b. - Probability 4020
There are numbers from 1 to 20 in the hat. What is the probability that we will pull out from the hat: a / one-digit number b / prime number c / number greater than 11 d / a number divisible by six Thank you - Specify: 4001
Specify: a = D (240,320) b = n (40.64) - Apples and pears
Mom divided 24 apples and 15 pears among the children. Each child received the same number of apples and pears - the same number as their siblings. How many apples (j=?) and pears (h=?) were received for each child?
- Lcm simple
Find the least common multiple of these two numbers: 140 175. - Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. On the second line, write a total of this number, and its one fifth. She wrote a sum of this number and its one nines on the third row. - Infinitely 3818
We have 2 numbers. If we multiplied the first number's third root by the second number's square root, we would get the number 18. Determine these 2 numbers. Calculate only the integer solution if the problem has infinitely many solutions in the set of rea - 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. - Two-digit number
I am a two-digit number less than 20. When I divide by three, you get the rest 1. When you divide me by four, you also get the rest 1. What number am I?
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