Square + reason - practice problems
Number of problems found: 126
- Squares 5479
Draw two stone squares. They have a total of 34 stones. What edges do the squares have? - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - Playground 2908
The fencing of the square playground cost € 462, while the 1m fencing cost € 11. What is its playground area? - Contradiction 55571
Use the truth table to evaluate the truth of the compound statement (a) [P ∧ (Q ∨ R)] ⇔ [(P ∧ Q) ∨ (P ∧ R)] (b) ¬(P ⇒ ¬Q) ⇒ (¬P ∧ Q) and decide each time whether it is a tautology or A contradiction.
- Squares
From the square with the integer side, cut out the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square? - Asymmetric 5407
Find the smallest natural number k for which the number 11 on k is asymmetric. (e.g. 11² = 121) - Multiplied 82243
Zuzka divided 52 by 2 8 times and multiplied by 2 6 times. What number did she get? - Equation 6738
Solve the given equation in the set N: 1 - x + x² - x³ + x4 - x5 +…. + = 1/3 - Determine 3274
Nine cleaners clean 3150 m² of the floor in 7 days. Determine how many m² of floor eight cleaners will clean in 9 days.
- Directly 55591
If n is a natural number that gives a division of 2 or 3 when divided by 5, then n gives a residue of 4 when divided by 5. Prove directly - Multiply 3766
Peter had a number in mind and said: When I divide this unknown number by the square root of 27 and then multiply by three, I get an unknown number. What number did Peter think? - Unknown number 24
I think the number: a - is the same as the square area with the 12th circumference. What is this number? b - its half is seven times bigger than its quarter. Is this the number? - Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - QuizQ2
The square of the first number is equal to three-fifths of the second number. Determine both numbers if you know that the second number is five times greater than the first, and neither of the numbers is not equal to zero.
- Root
The root of the equation (x-10)² +4 = x² +35x is (equal or greater or less than zero). ... - Chessboard 80533
How many ways can one white and one black square be selected on an 8x8 chessboard if the selected squares cannot lie in the same row or column? - Digits A, B, C
For the various digits A, B, and C is true: the square root of the BC is equal to the A, and the sum B+C is equal to A. Calculate A + 2B + 3C. (BC is a two-digit number, not a product). - Substitute 2633
I think the number is when you substitute it in the expression (x-2). (2x - 1), you get zero. What number can it be? - Suzan
My daughter reaches X years in X squared, said Susan's father in 2009 during her birthday celebration. When will the given fact become a reality, and how many years at that time will Susan have?
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