Examples for secondary school students - page 177 of 230
Number of problems found: 4586
- 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) - Subsequent 3312
We have to distribute 1200 euros to the five successful Olympic solvers so that the second and each subsequent one gets 50 euros less than the previous one. How many euros did each get? - Collecting 3306
Four friends received money for collecting paper as follows: Mirko received a quarter of the total amount, Robo received a third of the rest of the money, and Boris received half of the money left by Mirko and Robo. Peter has 16 euros left. How many euros - Rectangle
The length of the rectangle is 12 cm greater than three times its width. What dimensions and area does this rectangle have if its circumference is 104 cm? - Magnitudes 3304
In triangle ABC, the interior angle at vertex B is 10 degrees greater than the angle at vertex A, and the angle at vertex C is three times greater than the angle at vertex B. Calculate the magnitudes of the interior angles of the triangle. - Remuneration 3303
The annual remuneration of the two employees was a total of EUR 18,750. The remuneration of one of them in 6 months was the same as the other in a year. How big was the annual reward for each of them? - Everyone 3299
The three brothers had 24 apples. Everyone kept half and divided half between the two brothers. Everyone had as many apples as they had three years ago. How old were they? - Probability 3296
The storm broke the telephone cable connecting places A and B at 2.5 km. What is the probability that this happened at a maximum length of 450 m from location A?
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