Reason + natural numbers - practice problems - page 21 of 28
Number of problems found: 543
- Circumference 6382
Jan bought a large rectangle plot with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of the same length. Their longer sides are three consecutive natural numbers. Find out each plot's dimens - Accommodated 6380
The hotel has single and double rooms. There are 7 more single rooms than double rooms. How many people are accommodated in double rooms if the hotel is fully booked and has a capacity of 100 people? - Following 6367
Uncle Rudolf weaves baskets, which he then sells in the market. On Monday, he knitted 7 baskets; he worked one more every other day than the previous day. How many times more baskets did he knit by the following Monday dinner, compared to the first day, i - House numbering
The residential house has three entrances numbered even numbers, successive immediately behind. The sum of the two numbers on the outside entrances is 68. Calculate the middle of these three numbers. - Together
If eight men, ten women, and 16 children collect ₹1024 in 4 days, how many days will be required for six men, five women, and four boys to collect ₹768? (₹ is Indian Rupee) - Triangles
Hanka cut the 20 cm long straws into three pieces. Each piece had a length in cm. Then, with these three pieces, she tried to make a triangle. a) What circuit has each of the triangles? b) How long can the longest side measure? c) How many different trian - Children 6303
A total of 56 children went on a trip to the pupils of the two fourth grades. That 4A was four pupils more than 4. B How many pupils from each class went on a trip? - Orienteering 6301
Twenty-six girls and 39 boys took part in the orienteering race. Create as many of the same teams as possible so that no competitor is left. How many boys and how many girls are on the team? - Birthday 6277
Peter got a new bike for his birthday. His bike was equipped with many gears. How many gear options does Peter have if you have three wheels at the front and eight wheels at the back? List them all - Triangles
Ivo wants to draw all the triangles whose two sides of which have a length of 4 cm and 9 cm, and the length of the third side is expressed in whole centimeters. How many triangles does he have? - Multiply 6257
If we multiply the numbers of the last three pages of the book on pyramids, we get the product 23639616. How many pages does the book have if the last page's number is steam? - Find two
Find two consecutive natural numbers whose product is one larger than their sum. Searched numbers are expressed by a fraction whose numerator is the difference between these numbers, and the denominator is their sum. - Siblings 5964
Zuzka, Karin and Samko are siblings. Zuzka is 9 times older than Samko. Karin is nine years younger than Zuzka. How old is anyone if they are all under the age of 20? - Establishes 5921
The boy establishes collections of spiders and beetles. So far, he has only a total of 8. When asked how many beetles he has, he replied: "My entire collection has 54 legs. "How many spiders and how many beetles? - Determine 5893
Determine the largest integer n for which the square table n×n can be filled with natural numbers from 1 to n² (n squared) so that at least one square power of the integer is written in each of its 3×3 square parts. - Decorative 5887
Lenka tried to write the word Easter in decorative letters. To train the font, she wanted to write it on paper several times in a row. Which letter did she write as the 273rd in a row? - Possibilities 5822
Peter forgot the four-digit code to his school locker lock. Fortunately, his mother remembered some information about him. He knows that the first binary number is divisible by 15 and the second by 7. However, Peter is a big loser, so he has to try all th - Disassembled 5815
The children disassembled 48 bananas on the trip. Some children took 1 banana each, 6 children took 2 bananas each, and last, Anina was the only one who did not take even 1 banana. How many children were on the trip? - Christmas 5740
When the mothers sat down on the benches at the Christmas gazebo, only one mother sat on the last bench. When the six of them sat down, one mother remained standing. How many mothers were there on the gazebo, and how many benches could they sit on? - Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number?
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