Divisibility - practice problems - page 9 of 23

Number of problems found: 450

Columns of two and three
When students in one class stand in columns of two, there is none left. When he stands in columns of three, there is one student left. There are five more double columns than three columns. How many students are in the class?
Principle - 3CC
According to a certain principle, three-digit natural numbers are divided into two groups: The 1st group includes, for example, the numbers: 158, 237, 689, 982, 731, 422, … The 2nd group includes, for example, the numbers: 244, 385, 596, 897, … Discover t
Four-digit numbers
Find four-digit numbers where all the digits are different. For numbers, the sum of the third and fourth digits is twice the sum of the first two digits, and the sum of the first and fourth digits is equal to the sum of the second and third digits. The di
Tram stop
The blue tram stops every 12 minutes, and the red one stops for 8 minutes. At 8 o'clock, they left the stop together. How many times do they meet at a stop before 11 AM?
Probability
How probable is a randomly selected three-digit number divisible by five or seven?
Consecutive even sum
The sum of eight consecutive even natural numbers is 1,688. Determine the largest of the numbers.
The florist
A consignment of 200 roses arrived at the florist in the morning. She sold more than half of them during the day. She wants to tie bouquets of the remaining roses. One rose will always be left if she ties a bouquet of three, four, five, or six roses. Dete
Five-digit divisibility
Find the smallest five-digit number A432B that is divisible by 15.
Integer cube
The length of the cube edge is an integer. Its volume is in cm³, a five-digit number divisible by 1331. What is the length of the edge of this cube?
Tiles
The tile is square and has a side of 15 cm. What dimensions can a rectangle composed of 90 tiles have so that no tile remains?
An example
An example is playfully for grade 6 from Math, and I don't know how to explain it to my daughter when I don't want to use the calculator to calculate the cube root. Thus: The student made a cuboid from a block of 16x18x48 mm of plasticine. What will be th
Family step retrace
The family went on a trip to a ruin 6 km away. The father had a step length of 0.75 m, the mother of 0.6 m, and little Eve 50 cm. They went out on the same step. How many times did their steps retrace before reaching their destination?
Even number creation
How many are all even two-digit numbers that We can create from the digits 2, 4, and 7? The numerals can be repeated in the created number.
Number divisibility probability
What is the probability that a randomly written two-digit number from number 20 to number 99 will be divisible by 11, the power of number 3, or a prime number?
Children's home
Nicholas gave the children's home 54 oranges, 81 chocolate figurines, and 135 apples as gifts. Every child received the same gift, and nothing was left. a) How many packages could be prepared? b) what did the children find in the package?
Day week calculation
If the day before yesterday was the day of the week, what day of the week would it be from today in 50 days? (0 = Monday, 6 = Sunday)
Twenty-five
How many are three-digit natural numbers divisible by 25?
Intelligence test
Paul, Jano, Charles, and Rick were taking an intelligence test. Palo correctly answered half of the questions plus seven, Jano to a third plus 18, Charles to a quarter plus 21, and Risho to a fifth plus 25. After the test, Charles said, "I feel I was doin
By six
From digits 1,2,3,4, we create the long integer number 123412341234..., which will have 962 digits. Is this number divisible by 6?
Z6 – I – 6 MO 2019
A mother was studying multi-digit numbers in which odd and even digits alternate regularly. She called those starting with an odd digit 'comical' and those starting with an even digit 'cheerful'. (For example, the number 32387 is comical, and the number 4

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