Divisibility - practice for 13 year olds
Number of problems found: 147
- Relay teams
There are 159 students to be grouped into relay teams. Each team should have the same number of students. Can each team have 3,5 or 6 students? Explain. - A number 8
A number K is such that when it is divided by 27, 30, or 45, the remainder is 3. Find the smallest possible value of K - Same remainder
Find the greatest number that will divide 43, 91, and 183 so as to leave the same the remainder in each case. - Probability 81964
Calculate the probability of the event that you sit in seats 1 to 30 in the cinema at: a) seat marked with a prime number b) seat marked with an even number c) a seat marked with a number divisible by 3 or 4 - Probability 81117
Martin forgot the 4-digit PIN, and he remembered the first three numbers. The fourth number is odd. What is the probability in % that he will be able to determine the PIN? He has only one attempt. - Five-digit 80104
How many different five-digit numbers with different digits can be made from the digits 0, 2, 4, 6, 7, 8, and 9? How many of them are divisible by 4? How many of them are divisible by 10? How many of them are even? - Divisible 79464
The teacher wrote a number less than 50,000 on the board. The first student said: This number is divisible by 2 The second student said: This number is divisible by 3 And so on, down to the last one who claimed it was divisible by 13. Two in a row lied. W - A six-sided
A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than two? - Divisible 72004
Find the natural number between the numbers 70 and 80 divisible without the remainder 5, 3, 15, and 25. - Consecutive 68154
Determine the group of numbers for which the following relations hold: a) The sum of the searched three consecutive even numbers equals 978. b) The sum of the searched four consecutive odd numbers equals 312. - Four-digit 67444
Emil forgot the PIN for his payment card. It knows that it is four-digit, starts with 1, ends with 2, and does not repeat digits; its digit sum is 15. How many such codes are there? List all the options. - Divisible 67434
The number of Beata's house is 2018. The numbers of Jura's and Dan's houses are made up of the same numbers. A) What number of Jura's house can be if it is divisible by 4? List all the options. B) What can Dan's house number be if it is divisible by 5? Li - Conditions 66544
I have a box that contains white, milk, and dark chocolate candies. The ratio of white to milk candies is 3:4. The ratio of white to dark candies is 4:3. The least amount of candies in the box if the conditions of the ratio of candies are met. - Prepared 66494
Benches were prepared around the fire. When seven tourists sit on them, one tourist will sit alone on the last bench. When six of them all sat down, one had to stand. How many tourists were at the campfire if we know there were less than 100, and how many - Probability 64764
Petra wrote natural numbers from 1 to 20 on 20 tickets. Milady had one ticket pulled out. What is the probability that Milada will pull out a ticket with a number divisible by three? - Even five-digit
How many can even five-digit natural numbers with different digits be created from the digits 0 - 6? - Find whole
Find whole numbers between 155 and 232 that are divisible by 2, 5, and 10. - What is 16
What is the sum of three consecutive even integers such that six more than twice the second is 2/3 of the first increased by 3/2 of the third? - Difference 56811
I think the number. The difference between nine times and four times the unknown number is 625. What number do I think? - Rectangular 56801
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?
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