# Natural numbers - problems

1. 600 pencils 600 pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done?
2. Three numbers 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?
3. Dozen 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
4. Find the sum Find the sum of all natural numbers from 1 and 100, which are divisible by 2 or 5
5. Peter and Paul Peter and Paul together have 26 years. Four years ago, Paul was twice older than Peter. How much is Paul and how much Peter?
6. Voting 400 employees cast their votes in a board member election that has only 2 candidates. 120 people vote for candidate A, while half of the remaining voters abstain. How many votes does candidate B receive?
7. Hens and pigs Hens and pigs have 46 feet in total. At least how much can heads have?
8. Sum of four numbers The sum of four consecutive natural numbers is 114. Find them.
9. Each with each Five pupils from 3A class played table tennis. How many matches did they play with each other?
10. Reminder and quotient 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,
11. Reminder and quotient 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.
12. Collection of stamps Jano, Rado, and Fero have created a collection of stamps in a ratio of 5: 6: 9. Two of them had 429 stamps together. How many stamps did their shared collection have?
13. Brick One brick is 6 kg and half a brick heavy. What is the weight of one brick?
14. Chocolate Leslie bought 8 same chocolates for 16 Eur. How many euros will he pay for 25 chocolates?
15. Divisibility Is the number 761082 exactly divisible by 9? (the result is the integer and/or remainder is zero)
16. Monkey Monkey fell in 23 meters deep well. Every day it climbs 3 meters, at night it dropped back by 2 m. On what day it gets out from the well?
17. Diophantus We know little about this Greek mathematician from Alexandria, except that he lived around 3rd century A.D. Thanks to an admirer of his, who described his life by means of an algebraic riddle, we know at least something about his life. Diophantus's youth l
18. Z9-I-4 Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row she wrote a sum of this number and its one nines. Fi
19. No. of divisors How many different divisors has number ??
20. Textbooks After check of textbooks found that every 10-th textbook should be withdrawn. Together 58 textbooks were withdrawn. How many textbooks were in stock before withdrawn and how many after withdrawn?

Do you have an interesting mathematical problem that you can't solve it? Enter it, and we can try to solve it.

To this e-mail address, we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.