Examples for secondary school students - page 175 of 230
Number of problems found: 4586
- Subsequent 3427
Find how many strings there are in the first row if there are 44 strings in the eighth row, and in each subsequent row, there are five more strings than in the previous row. - Sphere vs cube
How much % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere? - Roots count
Substitute the numbers 0,1,2,3 into the equation as x: (x - 1) (x - 3) (x + 1) = 0 Which of them is its solution? Is there another number that solves this equation? - Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is the volume of a sphere inscribed in that cube? - Determine 3412
The average age of the siblings Standy, Radek, and Patricia are ten years. Standa is twice as old as Radek, and Patricia is two years younger than Radek. Determine the age of each sibling. - Wall height
Calculate the surface and volume of a regular quadrangular pyramid if side a = 6 cm and wall height v = 0.8dm. - Four sides of trapezoid
The trapezoid is given by the length of four sides: 40.5, 42.5, 52.8 35.0. Calculate its area. - Three dice
What is the probability that when we roll three dice, we roll the number 1,2,3? - Axial cut
The cone surface is 388.84 cm2, and the axial cut is an equilateral triangle. Find the cone volume. - Pyramid 4sides
Calculate the volume and the surface of a regular quadrangular pyramid when the edge of the base is 4 cm long, and the pyramid's height is 7 cm. - Support colum
Calculate the support column's volume and surface. It is shaped as a vertical quadrangular prism whose base is a rhombus with diagonals u1 = 102 cm and u2 = 64 cm. The column height is 1. 5m. - Traffic cones
Forty identical traffic cones with a base diameter d = 3 dm and height v = 6 dm will be painted orange outside (without the base). If we need 50 cm³ of paint to cover 1 m² and 1 liter of paint costs 80 SKK, how many SKK crowns will we pay? - Roof 8
How many liters of air is under the tower's roof, which has the shape of a regular six-sided pyramid with a 3,6-meter-long bottom edge and a 2,5-meter height? Calculate the supporting columns occupy about 7% of the volume under the roof. - Apples
A 2 kg of apples cost a certain sum of money. This sum equals the number of kilograms for which we pay 72 CZK. How much is 1 kg of apples? - Cylindrical 3395
The cylindrical vase is 28 cm high. Its inner diameter d = 1.1 dm. How many liters of water will fit in it if the bottom thickness is 1.5 cm? - Cylindrical 3394
The cylindrical container with a diameter of 1.8 m contains 2000 l of water. What height does the water reach? - Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm. - Cube diagonals
If you know the length of the body diagonal u = 216 cm, determine the cube's volume and surface area. - Precision 3390
The price of the device is reduced by one-fifth every year. How long before the price of the device drops to one-tenth of the price? Specify years and months with precision. - Algebrogram
Solve cryptarithmetic (alphametics) for a sum of three numbers: BEK KEMR SOMR ________ HERCI
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