Examples for secondary school students - page 203 of 231
Number of problems found: 4614
- Trapezoid - diagonal
A trapezoid has a length of diagonal AC crossed with diagonal BD in the ratio of 2:1. The triangle created by points A, the cross point of diagonals S, and point D has an area 164 cm². What is the area of the trapezoid? - ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 352 mm. - Three digits number
How many are three-digit integers such that they have no digit repeats? - Chess
How many different ways can you initiate a game of chess (first pass)? - Combinations
How many different combinations of two-digit numbers divisible by four arise from the digits 3, 5, and 7? - Goat and circles
What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which - Sphere in cone
A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions. - Hexadecimal number
What will the hexadecimal number 293 be as a decimal number? - Cone
Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder. - Cuboid
Cuboid ABCDEFGH with 10 cm height has a base edge length 6 cm and 8 cm. Determine the angle between the body diagonal and the base plane (round to degrees). - Cathethus and the inscribed circle
A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle. - A three-digit numbers
Determine the total number of positive three-digit numbers that contain a digit 7. - Building elevation angle
In the building, I focused at an angle 30°. When I moved the 5 m building, I focused at an angle 45°. What is the height of the building? - Water reservoir
The cuboid reservoir contains 1900 hectoliters of water, and the water height is 2.7 m. Determine the bottom dimensions where one dimension is 2.2 m longer than the second. - Calculation
How much is the sum of the square root of six and the square root of 100? - Square roots
What is equal to the product of the square roots of 410881? - Tree
How tall is the tree observed at the visual angle 45°? If I stand 3 m from the tree, my eyes are two meters above the ground. - Line
Write an equation of a line parallel to To 9x + 3y = 8 That Passes Through The Point (-1, -4). Write in the form ax+by=c. - ISO Triangle V2
The perimeter of the isosceles triangle is 474 m, and the base is 48 m longer than the arms. Calculate the area of this triangle. - Triangular prism
The base perpendicular triangular prism is a right triangle whose hypotenuse measures 14 cm and one cathetus 9 cm. The height of the prism is equal to 2/9 of the base's perimeter. Calculate the surface area of the prism.
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