Reason - high school - practice problems - page 12 of 31
Number of problems found: 608
- One three
We throw two dice. What is the probability that number three falls maximally once? - Triangle 8320
Is there a triangle with heights of 4, 7, and 10 meters? - Possibilities 8237
How many different possibilities of settling friends A B C D E F on six seats if A wants to sit next to C - Bookshelf and books
How many ways can we place seven books on a bookshelf?
- 4-digit 8231
How many 4-digit numeric pin codes can be created so that not all four digits are identical? - Probability of intersection
Three students have a probability of 0.7,0.5, and 0.4 to graduate from university, respectively. What is the probability that at least one of them will be graduated? - Friction coefficient
What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07 - A jackpot
How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i.e., home win or away win. - Uphill and downhill
The cyclist moves uphill at a constant speed of v1 = 10 km/h. When he reaches the top of the hill, he turns and passes the same track downhill at a speed of v2 = 40 km/h. What is the average speed of a cyclist?
- Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of gravi - Incorrectly 8075
Katka solved an example from mathematics. She could calculate 50% of the examples, guess the remaining questions, and guess one-fifth of them. She had 12 answers incorrectly. How many tasks did the test contain? - Prospering students
There are girls and 30 boys in the class. Boys are prospering 28, girls all. How many girls are in the class and how many boys are there, if all the prospering students are 95%? - Employees 8068
One thousand employees work in the company. At the end of the year, 10% of all men and 20% of all women received bonuses. Thus, the company rewarded 14% of the total number of employees. How many men and women work in the company? - Determine 8010
Determine the cone's base's radius if its shell develops into a circular section with radius "s" = 10 and center angle x = 60 °. r = ?, o =?
- Necklaces 8006
Elena has four beads: yellow, two pink, and green. How many different colored necklaces can he create? - Probability 7991
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.) - Distribute 7988
Tomas was to distribute 259 cards with pictures of football players among three friends. And each subsequent friend had to get 2x more cards than the previous one. How many cards did the other friend receive? - Equilateral 7962
After a long dinner, inside a lounge in the shape of a square ABCD, a drunken shopper E lies in such a way that the triangle DEC is equilateral. Spy F lies on the edge of BC, with |EB|=|EF|. What is the size of the angle CEF? - Four-digit 7953
How many four-digit codes on the wheel lock can we create from the digit 0,1,2,3,4,5,6,7,8,9 if it is true that we cannot repeat the numbers?
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