Square practice problems
A square is a regular quadrilateral with four equal sides and four right angles (90°). It is both a rectangle (all angles equal) and a rhombus (all sides equal), making it the most symmetric quadrilateral. Key formulas include area A = s² and perimeter P = 4s, where s is the side length. The diagonals of a square are equal, perpendicular, and bisect each other at 45° angles, with length d = s√2. Squares appear throughout mathematics in coordinate systems, tessellations, graph paper, and as fundamental shapes in geometry. Understanding squares is essential for area calculations, the Pythagorean theorem, and algebraic expressions involving squared terms.Number of problems found: 3013
- Mean proportional
What will be the mean proportion between 4 and 25? - GP - negative term
The first term of a geometric progression is −3 and the square of the second term equals its 4th term. Find the 7th term of the progression. - Squares of odd
Find the average of squares of consecutive odd numbers from 1 to 13. - Five added
Five is added to the square root of the product of nine, and a number is equal to eight. Find the number. - Sqrt of sum
Find one-third of the square root of 81, the sum of 12, and the product of 3 and 12. - Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares. - Twice squared
If the square of twice a number is 81, what is the number? Give a positive number x. - The product 19
The product of two consecutive positive integers is 306. Find the integers. - Suppose 10 Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B.
- Dataset: 2
Dataset: 4, 9, 7, 8, 5, 2 a. What number is n in xn? b. Find ∑x c. Find ∑(x-2)2 d. Find √∑(x-2)²/6 - Difference of squares
If the difference between two numbers is 3 and the difference of their squares is 39, then find the larger number. - Mean proportional
If x+7 is the mean proportional between (x+3) and (x+12), find the value of x . - Evaluation order quiz
Which of the following is NOT true about the expression given below? (10 +4)²- 25 ... - Square park
Amyra goes for a walk in a square park. The perimeter of the park is 1,235 m. Find the side length of the park. - Number 77
Find a number which is as much greater than 31 as it is less than 77. Many failed to do it! - Sum of squares The product of two numbers is 12. If the sum of their squares is 40, find the numbers.
- Powers of three
Simplify to a single power of 3: 35/3 Words: start fraction, 3, to the power 5, divided by, 3, end fraction. - Fredrik Fredrik knows that x² + ax + b = 0 has only one solution, and this is x1 = - 3/2 Find the values of a and b.
- Insert two > GP
If 4, 36, 324 are in a geometric progression, insert two more numbers into this progression so that it still forms a geometric progression. - The product 15
The product of two consecutive even numbers is 48. If the square of the smaller number is 35, what is the other number?
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