Examples for secondary school students - page 141 of 231
Number of problems found: 4612
- Camera Blind Spot Length
The camera with a viewing angle of 120 ° was placed horizontally on the observatory at 30 m. What length d of the section at the tower's base can the camera not capture? - A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm? - Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area. - Alice
Alice spent 5/11 of her money on a backpack. She has 42 dollars left. How much was her backpack? - Bulbs - short lifespan
The life of the bulbs has a normal distribution with a mean value of 2000 hours and a standard deviation of 200 hours. What is the probability that the light bulb will last for at least 2100 hours? - Normal Distribution Probability The waiting time in the buffet is governed by the normal distribution with a mean value of 130 seconds and a variance of 400. What is the probability that someone will wait less than a minute and a half?
- A regular
A regular triangular prism with a base edge of 20 dm and a height of 30 dm is drawn. Find the volume of the prism and the area of the shell. - Prism and wall diagonal
The ABCDA'B'C'D' prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC' is 11.4 cm long. Calculate the surface area and volume of the prism. - Garden measurements
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter and area of the rectangle. - Right angled triangle 3
Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find the length of its unknown sides. - Two equations
Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5 - Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof; if 5.5% of the sheet, we must add for joints and waste. - Coordinates of the vertices
Calculate the coordinates of the vertices of a triangle if the equations of its sides are 7x-4y-1 = 0 x-2y + 7 = 0 2x + y + 4 = 0 - The room
The room has a cuboid shape with dimensions: length of 50m and width of 60 dm, and height of 300 cm. Calculate how much this room will cost (a floor is not painted) if the window and door area is 15% of the total area and 1m² costs 15 euros. - Water Lilies Doubling Days
Water lilies grow on the pond, and their number doubles every day. We will cover the whole level in 12 days. In how many days will one-eighth of the surface be covered? - Water lilies Water lilies are growing on the pond, and their number doubles every day. If the whole layer is covered in 12 days, how many days will it take to cover eight layers?
- Oil Storage Cans Liters
We have to store seven cans of oil of 25 liters each in 45 cans, some of which are five liters and some three liters. How many three-liter cans and how many five-liter cans do we have? - Largest angle of the triangle
Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a - A bridge
The bridge over the river has the shape of an arc. The bridge is 10 feet above the water at the center of the river. At 27 feet from the river's edge, the bridge is 9 feet above the water. How wide is the river? - Savings distribution
Petr had 20% more savings than Jana, who saved half of what Markéta did. Together they saved CZK 2,520. How much CZK did each of them save?
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