Divisibility - math word problems

  1. Children's home
    jablka The children's home received a gift to Nicholas of 54 oranges, 81 chocolate figurines, and 135 apples. 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?
  2. Twenty-five
    prime How many three-digit natural numbers are divisible by 25?
  3. Intelligence test
    test Paľo, Jano, Karol, and Rišo were doing an intelligence test. Palo correctly answered half of the questions plus 7 questions, Jano to a third plus 18 questions, Karol to a quarter plus 21 questions and Risho to a fifth plus 25 questions. After the test, K
  4. By six
    numbers_1 From the digits 1,2,3,4 we create the long integer number 123412341234. .. .. , which will have 962 digits. Is this number divisible by 6?
  5. Common divisors
    prime Find all common divisors of numbers 30 and 45.
  6. Sum of the digits
    numbers2 How many are two-digit natural numbers that have the sum of the digits 9?
  7. Math test
    numbers_1 In mathematics, there were 25 problems of three kinds: light 2 points, medium 3 points, heavy 5 points, the best score is 84 points. How many points did Jane have when she solved all the easy examples, half medium and one-third difficult?
  8. Length of a string
    meter What is the smallest length of a string that we can cut into 18 equal parts and even 27 equal parts (in decimeters)?
  9. Number
    prime What number should be placed instead of the asterisk in number 702*8 to get a number divisible by 6?
  10. Seven numbers
    numbers Write seven 4-digit numbers that are divisible by 3 and at the same time by 4.
  11. Red and white
    tulipany Simona picked 63 tulips in the garden and tied bicolor bouquets for her girlfriends. The tulips were only red and white. She put as many tulips in each bouquet, three of which were always red. How much could Simon tear off white tulips? Write all the optio
  12. Twos
    2019 Vojta started writing the number of this year 2019202020192020 into the workbook. . And so he kept going. When he wrote 2020 digits, he no longer enjoyed it. How many twos did he write?
  13. Banknotes
    penize How many different ways can the cashier payout € 310 if he uses only 50 and 20 euro banknotes? Find all solutions.
  14. Digits
    pin_keyboard How many odd four-digit numbers can we create from digits: 0, 3,5,6,7?
  15. Dance group
    dancers The dance group formed groups of 4, 5, and 6 members. Always one dancer remains. How many dancers were there in the whole group?
  16. Dozen
    plusminus_13 What is the product of 26 and 5? Write the answer in Arabic numeral. Add up the digits. How many of this is in a dozen? Divide #114 by this
  17. Three numbers
    dices2_9 We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers?
  18. Hens and pigs
    pigs_2 Hens and pigs have 46 feet in total. At least how much can heads have?
  19. Reminder and quotient
    prime_5 There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S, D:S are with the remainder of 1,
  20. Reminder and quotient
    prime_4 There are given numbers A = 135, B = 315. Find the smallest natural number R greater than 1 so that the proportions R:A, R:B are with the remainder 1.

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