Square practice problems - page 19 of 150

Number of problems found: 3000

Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers.
Circumference - increase
If we increase the length of the side of the square by one-third, the circumference of the square will increase by 18 cm. Calculate the length of the side of the square.
Folded square
ABCD is a square. The square is folded on the midpoint of AB, and A is folded onto the fold, creating a shaded region. The perimeter of the shaded figure is 75. Find the area of square ABCD
Area of square
Calculate the area of the square whose perimeter is 24 dm.
Equation
Equation f(x) = 0 has roots x₁ = 25, x₂ = 64, x₃ = 9. How many roots have equation f(x²) = 0?
Proof I
When added to the product of two consecutive integers larger one, we get the square larger one. Is this true or not?
Number square comparison
Calculate how many times the square of the number 1/100 is less than 1/1000. (numbers in fraction form)
Playground grass area
The playground has the shape of a square. One side is 28m long. The grass is in the middle of the field. What area does the grass cover?
Tablecloth table size
A square tablecloth measures 80 cm so that it protrudes 33 cm on the sides; calculate how big it is.
Forest square map
A forest with a square plan has an area of 4 square km. What side will the square have on a 1:50,000 scale map?
Expression writing forms
Write the expression n, which is: (a) Six greater than twice the expression y; b) equal to the square root of the sum of the expression y and the number 3; (c) three times less than four times the expression y.
Numeric expression product
Calculate the product of numeric expressions A and B if: A = 10 - (9 -8) - (6 -7) B = 4-10² + 5.10 + 9
Sqrt between ints
Which two consecutive integers does the square root lie in? * √45 √23 √71 √7 √86
Value of the expression
If x=4 and y=-3, what is the value of the expression x² + 2xy - 4x + 3y + y²?
Quotient and product
What is the sum of the quotient of [8/5 divided by 8/10] added to the product of [8/14 x 7/12 x 3/8]?
The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
Unknown number 4
I think number. When I divided its square root by its 1/9, I got a number 1. What number am I thinking?
Square glass
What is the square window glass area with the side 4 dm? Do you know how many cm² is?
Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0.
Square side length
Calculate the length of the side of a square in cm, whose circumference is 88.8 dm

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