Divisibility - practice for 13 year olds - page 6 of 8
Number of problems found: 155
- 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, - 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 - 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. - Pet store
They sold fish from one aquarium from the breeding product (Zverimex). Ondrej wanted half of all the fish, but to avoid cutting any fish, he got half the fish more than he wanted. Matej wanted half of the remaining fish, but like Ondrej, he got half the f
- Divisibility
Write all the integers x divisible by seven and eight simultaneously, for which the following applies: 100 < x < 200. - Grandmother
Grandmother wants to give the candies to grandchildren so that when she gives five candy everyone, three are missing, and when she gives four candies, 3 are surplus. How many grandchildren have a grandmother, and how many sweets have? - Two-digit 3456
Write all the two-digit numbers that can be composed of the digit 7,8,9 without repeating the digits. Which ones are divisible b) two, c) three d) six? - Sometimes 2814
Adam was at some of his favorite football team's home games last season. Sometimes, he bought a seat ticket for €9, sometimes a standing ticket for €5. He spent a total of €76. How many times did Adam buy a seat ticket, and how many times did he buy a sta - Beginning 2799
Three friends were playing bullets. They did not have the same number of marbles at the start of the game. They had them in a ratio of 2:7:5, while Mišo and Jano had a total of 77 bullets. How many marbles did their friend Peter have at the beginning? Cou
- Granddaughter 2789
Grandma and her granddaughter Barunka have a birthday on the same day. During six consecutive birthday celebrations, Grandma's age was always divisible by Barunka's age. How many birthdays did Grandma celebrate at the last of these six celebrations? Grand - Determine 2757
The sum of all divisors of a certain odd number is 78. Determine the sum of all divisors of twice this unknown number. What is an unknown number? - Backpacking 2579
Aleš, Karel, and Simon went on a trip at 6:45. They arrived at the finish line at 9:15. They carried one backpack with them and took turns after 20 minutes. Karel carried the first section, and at 8.30 by Simon. a) Who carried the backpack in the second s - Divisibility by 12
Replace the letters A and B with digits so that the resulting number x is divisible by twelve /find all options/. x = 2A3B How many are the overall solutions? - Shepherd
The shepherd has fewer than 500 sheep; where they can be up to 2, 3, 4, 5, 6 row is always one remain, and as can be increased up to 7 rows of the sheep, and it is not increased any ovine. How many sheep have a shepherd?
- Sheep
Shepherd is tending the sheep. Tourists asked him how much they had. The shepherd said, "there are fewer than 500. If I lined up in 4-row, three remain. If in 5-row, four remain. If in 6-row, five remain. But I can form 7-row." How many sheep have a sheph - Tissues
The store got three kinds of tissues - 132 children, 156 women, and 204 men. Tissues for each species were packed into boxes after the number of pieces was the same for all three types (and greatest). Determine the number if you know that every box has mo - Daughters
The man conducting the census asks a woman the age of three daughters. Woman says when multiplying the age, get the number 72; if their ages add up, get a number of our house, as you see. The man says: That is not enough to calculate their ages. She says: - Trees
Loggers wanted to seed more than 700 and less than 800 trees. If they seed in rows of 37, leave them eight trees. If they seed in rows of 43, left the 11 trees. How many trees must seed? - Trams
Tram no. 3,7,10,11 rode together from the depot at 5 AM. Tram No. 3 returns after 2 hours, tram No. 7 an hour and a half, no. 10 in 45 minutes, and no. 11 in 30 minutes. For how many minutes and when do these trams meet again?
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