Quadratic equation + square (second power, quadratic) - practice problems - page 12 of 15
Number of problems found: 292
- Specify 3347
We have a number. If we divide its fourth power by its square, we get the number 0.25. Find this number.
- Positive 3298
Which positive number equals twice its square?
- Dimensions 3159
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle.
- Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle.
- Difference 3113
The difference between the two numbers is 82. The first number is eight, less than the square of the second number. Specify these numbers.
- Centimeters - block
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block.
- Trapezium
The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The trapezium area is 128 cm². Calculate the length of the base and the height of the trapezoid.
- Arc-sector
arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ?
- Substitute a number
I think the number is when you substitute it in the expression (x-2). (2x - 1), you get zero. What number can it be?
- Square
The square's side length decreases by 25%, and its area is now 28 cm22 lower. Find the side of the original square.
- Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides?
- Quadratic function 2
Which of the points belong to function f:y= 2x²- 3x + 1 : A(-2, 15) B (3,10) C (1,4)
- Quadratic function
Write the equation of the quadratic function, which includes points A (-1, 10), B (2, 19), C (1,4)
- Primes 2
For what primes p,q,r is true: p²-(q+r)²=647
- Trapezoid
The area of a trapezoid is 135 cm². The sides a, c, and height h are in a ratio of 6:4:3. How long are sides a, c, and height h? Perform calculation.
- Garden
The garden has a rectangular shape, a circumference of 130 m, and an area of 800.25 m². Calculate the dimensions of the garden.
- Square grid
A square grid consists of a square with sides of a length of 1 cm. Draw at least three patterns, each with an area of 6 cm² and a circumference of 12 cm, and their sides in a square grid.
- Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters.
- Water reservoir
The water reservoir is filled through one inlet 4 hours later than both, then another 9 hours later. For how long is each filled out separately?
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