Prime numbers - practice problems - page 8 of 27

Number of problems found: 540

The tailor
The tailor estimated the rest of the fabric in the package at 11 m. By measuring, he found that he could cut the same pieces of this fabric without a residue in 150 cm or 210 cm increments. How many meters of fabric were in the package?
AND-NOT-AND
If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252
Rey collected
Rey collected three glasses of colored marbles. The first glass had 27 red marbles, the second had 36 green marbles, and the third had 54 blue marbles. He placed the marbles into a set of boxes of each kind. What is the greatest number of marbles that he
Marie-Pier
Marie-Pier, Frédéric, and Simon bump into each other in the street on a Tuesday while the three of them are running. Marie-Pier trains every three days, Frédéric every four days, and Simon every Tuesday. If they all keep up with their training pace, in ho
Check divisibility
Check under each column to identify whether each number is divisible by 2, 5, 10, 3, 6, or 9. number; 2; 5; 10; 3; 6; 9 54180; ; ; ; ; ; 624 ; ; ; ; ; ; 2700 ; ; ; ; ; ; 5605 ; ; ; ; ; ; 568 ; ; ; ; ; ;
Dance group division
We are planning a dance performance at the school academy. How many students have to take part in it if we want them to be able to split into groups of four, six, and twelve?
Purchased
Milo shopped in a store where the prices of all goods were listed in whole euros. If Milo bought 2 milks, 3 glasses, and 1 pack of sweets, he would pay €49. If he bought 5 more milks, 11 glasses, and 1 pack of sweets, he would pay €154 in total. How many
Number difference puzzle
I am thinking of a number. The difference between nine times and four times the unknown number is 625. What number am I thinking of?
Rectangle area dimensions
We are to create a square in the shape of a rectangle with an area of 288 m² (square) so that the sides are whole numbers. What are all the dimensions of the rectangular box we can make? How many is the solution?
Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers.
Most divisors
Find the number with the most divisors from the natural numbers 1 to 100.
Cherry basket division
There are cherries in a basket. If we can divide them equally among three, four, or five children, how many cherries are there at minimum?
Target extra remainder
The arranger has at his disposal a certain number of colored targets, from which he wants to create a rectangular pattern of a flower bed. If he puts 4,5,6,8,9, or 10 targets in one row, he always has three extra targets. How many targets does it have? De
Athletics team
All athletes in an athletics club can be divided evenly into groups of four, five, six, or seven, with no one left over. What is the average number of athletes per group if there are twelve groups in the section? Use the smallest possible total number of
To the gym
Tony, Emil, and Patrick go to the gym regularly. Tony visits the gym every third day, Emil every fifth day, and Patrick every ninth day. How often does everyone meet at the gym?
Simplest form 3
What fraction is 15 of 35 in simplest form?
The sum 13
What is the sum of the exponents of the prime factors in the prime factorization of 196?
Eights of butter
How many eights of butter (1/8 of kg = 125 g) can be stored in a box with dimensions of 4 dm, 2 dm, and 1.8 dm if an eighth of butter has dimensions of 8 cm, 5 cm, 3 cm?
A number 5
A number is divisible by 24, 25, and 120 if it is increased by 20. Find the number.
What fraction
What fraction of numbers 1 to 30 is prime?

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