Examples for secondary school students - page 197 of 230
Number of problems found: 4586
- Pyramid - angle
Calculate the regular quadrangular pyramid's surface, the base edge of which is measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees. - Geometric sequence
In the geometric sequence, is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q. - Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface? - Cuboid
Find the cuboid that has the same surface area as the volume. - High wall
I have a wall 2m high. I need a 15-degree angle (upward) to the second wall 4 meters away. How high must the second wall be? - Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume. - Axial section
The axial section of the cylinder has a diagonal 50 cm. The shell size and base surface are in the ratio 2:5. Calculate the volume and surface area of this cylinder. - Neighborhood
I have 7 cups: 1 2 3 4 5 6 7. How many opportunities for standings cups are there if 1 and 2 are always neighborhood? - 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 - Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4, and the area of Lateral Surface Area (LSA) is 24 dm². - 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 cylinder's surface area when its volume is 45 l, and the base's perimeter is three times the height. - Father and son
The father is three times older than his son. Twelve years ago, the father was nine times more senior than the son. How old are father and son? - Antennas
If you give me two antennas, it will be the same. If you give me again your two antennas, I have 5× so many more than you. How many antennas have both men? - Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin. - Profits
Two members will make a profit of 52,000 EUR. The first earned 8% more and the second 10% more and thus earned 56,700 EUR together. How much will each initially earn? - Numbers
Write the smallest three-digit number in divisions 5 and 7, and give the rest 2. - Rectangular trapezoid
Calculate the area of a rectangular trapezoid with a right angle at point A and if |AC| = 4 cm, |BC| = 3 cm, and the diagonal AC is perpendicular to the side BC. - Lion or virgin
We toss the coin, and every throw fits a lion or a virgin with an equal probability of 1/2. Determine how much we have to make throws that, with the probability of 0.9, lions fell at least once. - Car rent
Rental cars are paid a fixed daily fee plus 16 cents per kilometer traveled. Samuel wants to rent a car for a day and work out, which will cost 175 euros. When paying, he got a 20% discount on the daily fee, and the cost per kilometer was unchanged. Samue
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