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The operation @ on two numbers produces a number equal to their sum minus 2. The value of (...((1@2)@3)...@2017) i
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The sum of 2018 and a 3-digit number is a square number. Find the smallest possible value of the 3- digit numbers
Suppose n is a positive integer and 3 arbitrary numbers are choosen from the set {1, 2, 3, . . . , 3n+ 1} with their sum equal to 3n + 1. What is the largest possible product of those 3 numbers?
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Each of the integers from 1 to 16 inclusive is put in a different square of a 4 by 4 table. For any two squares sharing a common side, the sum of the numbers in them is recorded. What is the maximum value of the smallest one among the recorded numbers?
Determine how many two-dight numbers satisfy the following property: when the number is added to the number obtained by reversing its digits, the sum is 132
in a magic triangle, each of the six whole numbers 10; 11; 12; 13; 14; 15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. The largest possible value for S is
1.Given the quadrilateral ABCD with two diagonals perpendicular and AB = 8cm, BC = 7cm, AD = 4cm. Evaluate CD.
2.Given three consecutive even natural numbers, which have the product of last two numbers is 80 greater than the product of first two numbers.
Find the largest number.
Answer: The largest number is
Fill in the circles with the numbers 1, 2, 3, 4, 5, 6 and 7. Each number can be used once without repetitions. The sum of the digits inside the circles at the four vertices of the square on the left is 15 and the sum of the digits inside the circles at the vertices of the regular pentagon on the right is 24. How many possible arrangements are there?
Exam number 219:12Fill in the blank with the suitable number (Note: write decimal number with the dot between number part and fraction part. Example: 0.5)Question 1:Given .Find the value of such that its degree is equal to 4.Answer: The value of is Question 2:The value of with is Question 3:Given . The degree of is Question 4:Given .The degree of is Question 5:Given .The value of is Question 6:In this figure, if the length of the line segment is an even number.Then .Question 7:Given .T...
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Exam number 219:12
Fill in the blank with the suitable number (Note: write decimal number with "the dot" between number part and fraction part. Example: 0.5)
Question 1:
Given .
Find the value of "" such that its degree is equal to 4.
Answer: The value of "" is
Question 2:
The value of with is
Question 3:
Given .
The degree of is
Question 4:
Given .
The degree of is
Question 5:
Given .
The value of is
Question 6:
In this figure, if the length of the line segment is an even number.
Then .
Question 7:
Given .
The value of
Question 8:
The value of with is
Question 9:
Given with .
Then the minimum of is
Question 10:
The minimum value of is