Z9–I–1
All nine fields of given shape are to be filled with natural numbers so that:
• each of the numbers 2, 4, 6, and 8 is used at least once,
• four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square,
• in the circle is the sum of the numbers of adjacent cells of the inner square.
Find out the smallest and the largest number that can be written in a circle.
• each of the numbers 2, 4, 6, and 8 is used at least once,
• four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square,
• in the circle is the sum of the numbers of adjacent cells of the inner square.
Find out the smallest and the largest number that can be written in a circle.
Correct answer:

You need to know the following knowledge to solve this word math problem:
planimetricsbasic operations and conceptsnumbersthemes, topicsGrade of the word problem
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Twenty
Twenty rabbits are put in 4 cells so that there are a different number of rabbits in each cell containing at least three rabbits. What is the largest possible number of rabbits in one cell?
- 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.
- Difference 68664
The digits 1, 2, 4, and 8 form two four-digit numbers so that all 4 digits are used in the notation of each number. Calculate the difference between such largest even number and smallest odd number (in that order).
- Half-planes 36831
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest.
- Natural numbers
Determine the number of all natural numbers greater than 200 in which the digits 1, 2, 4, 6, and 8 occur at most once each.
- Different 66994
There are 180 balls in three different colors in the bag. What is the smallest number of marbles to be selected so that there are at least 3 of the same color among them if the marble of the same color is the same in all three colors?
- Four-digit 65124
Please find out how many different four-digit numbers we can create from the digits 3 and 8 so that the two digits three and two digits eight are used in each four-digit number created.