Examples for secondary school students - page 190 of 222
Number of problems found: 4435
- 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
- Holidays
Of the 35 students in the class, seven were on holiday in Germany and just as many in Italy. Five students visited Austria. There were 21 students in none of these countries. One student visited all three. There were two students in Italy and Austria and
- Two months
Mars has two months, Phobos and Deimos. Phobos orbit around Mars in 7 hours 39 minutes, and Deimos in 30 hours 14 minutes. How long will the relative positions of the three celestial bodies repeat?
- Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid; its height is $b cm, and the length of the edges of the base is 6 cm.
- Regular quadrangular pyramid
How many square meters are needed to cover the shape of a regular quadrangular pyramid base edge of 10 meters if the deviation lateral edges from the base plane are 68°? Calculate waste 10%.
- Four-digit number
Find a four-digit number, which quadrupled written backward is the same number.
- The confectionery
The confectionery sold five kinds of ice cream. If the order of ice cream does not matter, how many ways can I buy three kinds?
- Copiers
The new copier is copying a folder of papers 5 minutes faster than the old one. The operator used a new one, but it was out of toner, and the exchange took 5 minutes at that time, copied on the old one. The whole work was done in 9 min. How long would the
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