Divisibility - practice problems - page 9 of 22
Number of problems found: 434
- 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
- Destination 18323
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 Eva 50 cm. They went out on the same step. How many times did their steps retrace before reaching their destination?
- Two-digit 17443
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.
- Probability 17013
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?
- Yesterday 13711
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
Paľo, Jano, Karol, and Rišo were taking an intelligence test. Palo correctly answered half of the questions plus seven, Jano to a third plus 18, Karol to a quarter plus 21, and Risho to a fifth plus 25. After the test, Karol said, "I feel I was doing quit
- 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
Mother studied multi-digit numbers in which odd and even digits regularly alternate. Those that start with an odd digit she called comical and those that start with an even digit she called cheerful. (E.g. The number 32387 is comical, the number 4529 is c
- Intervals 12201
Trams of five lines run at intervals of 5, 8, 10, 12, and 15 minutes. At noon, they left the station at the same time. What time will they meet again? How many times will each tram pass the stop during that time?
- Whenever 12151
Mickey got so many candies that all the digits in this number were the same. Prove that whenever he can divide such several candies into 72 equal piles, he can also divide them into 37 equal piles. (Note: candies cannot be broken)
- Common divisors
Find all common divisors of numbers 30 and 45.
- Sum of the digits
How many are two-digit natural numbers that have the sum of the digit 9?
- Math test
In mathematics, there were 25 problems of three kinds: light 2 points, medium 3 points, and heavy 5 points, and the best score was 84 points. How many points did Jane have when she solved all the easy examples, half of the medium, and one-third of the dif
- Length of a string
What are the smallest string length we can cut into 18 equal parts and even 27 equal parts (in decimeters)?
- Number
What number should be placed instead of the asterisk in the number 702*8 to get a number divisible by 6?
- Seven numbers
Write seven 4-digit numbers divisible by three and at the same time by 4.
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