Power - high school - practice problems - page 9 of 11
Number of problems found: 214
- Square
The square's side length decreases by 25%. Now it has an area of 28 cm² lower. Find the side of the original square. - Quadratic function
Write the equation of the quadratic function, which includes points A (-1, 10), B (2, 19), C (1,4) - Cube 9
What was the cube's original edge length after cutting 39 small cubes with an edge of 2 dm left 200 dm³? - Variations 3rd class
From how many elements can we create 13,800 variations of the 3rd class without repeating?
- Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ. - Two boxes-cubes
Two boxes of a cube with edges a=28 cm and b = 92 cm are to be replaced by one cube-shaped box (same overall volume). How long will its edge be? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - Chord AB
What is the chord AB's length if its distance from the center S of the circle k(S, 92 cm) is 10 cm? - Hollow sphere
The steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³
- Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface? - Decides
Decide by calculation how many candidates out of a total of 1000 candidates for the position of CEO meet the eligibility requirements for the desired performance of this top management position with at least 67% probability - provided, of course, that the - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - Surface of the cylinder
Calculate the surface area of the cylinder when its volume is 45 l, and the base's perimeter is three times the height. - Square roots
What is equal to the product of the square roots of 295936?
- Elevator
In homes with more floors, elevators are used. For passenger transport, the most commonly used traction elevator counterweight. The top of the shaft engine room with the engine. The car is suspended on a rope, which is guided up over two pulleys to the co - Workman - shift
The worker produces 300 components per shift. How many components would be produced in the 18 shifts if his performance gradually increased every shift by 3 components? - Diagonals in the diamond
The length of one diagonal in a diamond is 24 cm greater than the length of the second diagonal, and the diamond area is 50 m². Determine the sizes of the diagonals. - Tiles
From how many tiles, 20 cm by 30 cm, we can build a square of maximum dimensions if we have maximum 275 tiles. - Leg
Determine the trapezoid area with bases 32 and 12; the height is 2 shorter than its leg.
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Power - practice problems. Examples for secondary school students.