Expression of a variable from the formula - practice for 14 year olds - page 56 of 59
Number of problems found: 1162
- Trapezoid
Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio of 6:4:3. How long are a,c and h? Make calculation. - Average mark
Calculate the average mark in English if a student got a couple of 3's, 20% less two than 3, and 50% more 1's than the 2's. - Broken tree
The tree was 35 meters high. The tree broke at the height of 10 m above the ground. Top, but does not fall off. It is refuted on the ground. How far from the base of the tree lay its peak? - Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge if you know that the prism volume is 2187 cm³.
- Alfa, beta, gama
In the ABC triangle, is the size of the internal angle BETA 8 degrees larger than the size of the internal angle ALFA and the size of the internal angle GAMA is twice the size of the angle BETA? Determine the size of the interior angles of the triangle AB - Acceleration
The car accelerates at a rate of 0.5 m/s². How long does it travel 400 meters, and what will be its speed? - Vinegar
What percentage of vinegar do we get if we mix 1 dm³ of eight percent vinegar with 1.5 dm³ of six percent vinegar? - Tiles
How much will you pay CZK for laying tiles in a square room with a diagonal of 8 m if 1 m² cost CZK 420? - RT leg and perimeter
The right triangle ABC with hypotenuse c has the length of a leg a= 84 and the perimeter of the triangle o = 269. Calculate the size of the sides of the triangle ABC.
- Prism
The volume of a tetrahedral prism is 2.43 m³. The prism's base is a parallelogram with a side of 2,5dm and height ha = 18cm. Calculate the height of the prism. - Rhombus A2p
The rhombus area is 13 cm², and its height is 5cm long. Find the perimeter of this rhombus. - 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? - Brass tube
The outer perimeter of the brass tube (ρ = 8.5 g/cm³) is 38 cm. Its mass is 5 kg, length 54 cm. What is the pipe wall thickness? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder.
- Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the golden cross? - Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r. - Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 12 cm and u2 = 15 cm. Prism height is twice the base edge length. - 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 - Positive number z
The positive number z is 10% greater than the number y. How many percent is y smaller than z? Report the result rounded to one decimal place.
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