Examples for secondary school students - page 177 of 230
Number of problems found: 4597
- Sawmill factory
Peter works in the factory. The bus stop is 10 km from the factory. Therefore, when the bus arrives for Peter, the driver always leaves the factory and takes him to work. They arrived at the saw exactly at 8:00. Today, the bus arrived 11 minutes earlier, - Probability 3349
We have natural numbers 3, 4, 6, 10, and 12. Calculate the probability that the sum of three randomly selected three different numbers is less than 20. - Above Earth
To what height must a boy be raised above the earth to see one-fifth of its surface? - Specify 3347
We have a number. If we divide its fourth power by its square, we get the number 0.25. Find this number. - Function 3345
Perform the inverse function from f: y = 4x + 5. - Airplane
Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high does he fly? - Calculate 3339
A1 + a3 = 15 a1 + a2 + a3 = 21 Calculate a1 and q (quotient of the geometric sequence). - Water tank
The water tank has a cylindrical shape with a base diameter of 4.2 m and is 80 cm deep. How many minutes will it take to fill it 10 cm below the edge of the tank if water flows 2 liters per second? - Water reservoir
The reservoir shape of a cylinder has a diameter of 8 m and a height of 2.8 m. The device indicates that the reservoir contains 800 hectoliters of water. Calculate how much % of the volume is used. - Dispersion 3335
What is the value of the variance of the data in the file if the calculated standard deviation = 2? a) Dispersion = 6 b) Dispersion = 4 c) Dispersion = 9 d) Dispersion = 2 - Alcohol mixture
We have to produce 0.2 kg of 60% alcohol from 55% and 80% alcohol. How many of them do we use in the solution? - Produced 3333 How much 55% alcohol do we need to add to 1500 grams of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol produced?
- Together 3331
The group has 12 red girls and 25 blue girls in costumes. How many of them can we put together a group of 6 girls so that the four girls have red outfits? - Vacation
Karel and his parents flew on vacation. When checking in at the airport, their 3 pieces of luggage had a total weight of 44 kg. Father's luggage weighed three times as much as Karl's luggage, and mother's luggage weighed half as much as father's luggage. - CuZn
Brass is an alloy of copper and zinc. The 10-centimeter brass cube weighs 8.6 kg. Copper density is 8930 kg/m3, the zinc density is 7130 kg/m³. Calculate how many kilograms of copper and zinc a cube contains. - Numbers 3323
The sum of two numbers is zero. A quarter of the first equals half of the second. What are the numbers? - Probability 3322
We have the numbers 4, 6, 8, 10, and 12. What is the probability that with a randomly selected triangle, these will be the lengths of the sides of a scalene triangle? - Modifications 3317
Workshop A can fulfill a specific order in 8 changes, workshop B in 10 modifications. How many shifts will the job be completed if workshop A works on only the first two shifts and both workshops work on the remaining shifts? - Simultaneously 3316
We would fill the water tank with one inlet in 36 minutes and the other in 45 minutes. How long will it take to fill the tank if water flows through the first inlet for 9 minutes and then both simultaneously? - Distance of the parallels
Find the distance of the parallels, which equations are: x = 3-4t, y = 2 + t and x = -4t, y = 1 + t (instructions: select a point on one line and find its distance from the other line)
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