Reason - practice problems - page 6 of 99
Number of problems found: 1979
- Several resistors
We have a box with the same resistors, so all of them have a resistance value of 200 ohms. Draw the connection of several resistors so that the resulting resistance is: a) 100 b) 120 (only 4 resistors) - Indistinguishable 81236
There are 32 red socks and 32 blue socks in a drawer. The left and right socks are indistinguishable. You pull your socks out of the drawer in the dark. How many do you have to take out to make sure you have a pair when you look at them? - Doppler effect
The observer moves away from the source at a speed of 12 m/s. The source produces sound with a frequency of f=475 Hz. What is f2 (frequency of sound perceived by the observer)? v= 340 m/s. - Twenty-five 81187
Twenty-five prizes are drawn in a raffle with 500 tickets. How many tickets do we need to buy to ensure I win at least 3 prizes?
- Equilateral 81142
The rotating body was created by rotating an equilateral triangle with a side length of a=2 cm around one of its sides. Calculate the volume of this rotating body. - Quatrefoil 81138
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - Probability 81115
The probability of sprouting each avocado pit is 0.9. We planted 3 stones. What is the probability that exactly two of them will sprout? - Introduced 81104
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3? - Quadrilateral 81097
The quadrilateral ABCD is symmetrical about the diagonal AC. The length of AC is 12 cm, the length of BC is 6 cm, and the interior angle at vertex B is right. points E and F are given on the sides AB, and AD so that the triangle ECF is equilateral. Determ
- Children 81061
Amalia has as many brothers as sisters. Her brother Ivan has 3 sisters. How many children are there in their family? - Respondents 81024
Out of 32 people, 22 like fish. Four fewer people will enjoy the mushrooms. Those who eat mushrooms or fish are 7 times more than those who do not eat mushrooms or fish. How many of the respondents have fish and mushrooms? - Thanks 81022
Pavla is 2x older than Irena. Four years ago, Pavla was 6 times older than Irena was then. In how many years will the ages of Pavla and Irena be in the ratio of 4:3? Thanks - Minutes 80992
Three eggs are cooked in 15 minutes; how long will it take to cook 15 eggs at once? - Participants 80965
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting?
- SKMO
Petra had written natural numbers from 1 to 9. She added two of these numbers, deleted them, and wrote the resulting sum instead of the summaries. She thus had eight numbers written down, which she managed to divide into two groups with the same product. - Multiply 80797
When I multiply two equal natural numbers, I get the same result as when I add them together. Which ones are they? - Increases 80774
A bus travels between places A and B. If it increases its average speed by 5 km/h, the travel time will be reduced by 20 minutes. If he reduces his original speed by 4 km/h, the driving time is increased by 20 minutes. What is the average speed of the bus - Increases 80772
The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3? - Three-digit 80768
Nikola had one three-digit and one two-digit number written in her notebook. Each of these numbers was made up of different digits. The difference in Nicole's numbers was 976. What was their sum?
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