# Natural numbers - 6th grade (11y) - math problems

1. By six 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?
2. Quotient Find quotient before the bracket - the largest divisor 51 a + 34 b + 68 121y-99z-33
3. Three lines At 6 am, three bus lines are departing from the station. The first line has an interval of 24 minutes. The second line has an interval of 15 minutes. The third line runs at regular intervals of more than 1 minute. The third line runs at the same time as th
4. Sum of the digits How many are two-digit natural numbers that have the sum of the digits 9?
5. Number What number should be placed instead of the asterisk in number 702*8 to get a number divisible by 6?
6. School trip On a school trip, 17 of the 28 children bought ice cream or chocolate in a candy store. Twelve children bought chocolate, and nine children bought ice cream. How many children bought ice cream and chocolate? How many children did not buy ice cream? How man
7. Common divisors Find all common divisors of numbers 30 and 45.
8. Seven numbers Write seven 4-digit numbers that are divisible by 3 and at the same time by 4.
9. Examination 2 In an examination, a teacher awards 2 marks for every correct answer and subtract a mark for every wrong answer. If there are 20 questions and a child scored 25 marks how many correct answer did the child get?
10. Students at cinema All pupils from the school went to the cinema for a film performance. The cinema has 400 seats, 2 rows of 20 seats remain unoccupied. 10 places were occupied by teachers. How many students were there?
11. Last page Two consecutive sheets dropped out of the book. The sum of the numbers on the sides of the dropped sheets is 154. What is the number of the last page of the dropped sheets?
12. Digits How many odd four-digit numbers can we create from digits: 0, 3,5,6,7?
13. Sum of four numbers The sum of four consecutive natural numbers is 114. Find them.
14. Seven times Which number seven times is just as higher as 27, how much is smaller than 29?
15. Dance group 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. Number of songs Write an expression for the number of songs they need for this show. Evan and Peter have a radio show that has 2 parts. They need 4 fewer than 11 songs in the first part. In the second part, they need 5 fewer than 3 times the number of songs in the first p
17. The King The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them?
18. Hens and pigs Hens and pigs have 46 feet in total. At least how much can heads have?
19. Each with each Five pupils from 3A class played table tennis. How many matches did they play with each other?
20. Trees in alley There are four trees in the alley between which the distances are 35m, 15m and 95m. Trees must be laid in the spaces so that the distance is the same and the maximum. How many trees will they put in and what will be the distance between them?

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