Examples for secondary school students - page 103 of 237
Number of problems found: 4730
- Combinatorial examples
1. In the class you have 15 pupils. In how many ways can we select four for examination? 2. In how many ways can we select from seven-card cards (32 cards) any two cards? 3. In how many ways can we divide 12 pupils into two six-member teams? 4. In how man - Tetrahedral pyramid 8
Let all the side edges of the tetrahedral pyramid ABCDV be equally long and its base let us be a rectangle. Find its volume if you know the deviations A=52° B=56° between the planes of adjacent sidewalls and the base plane. The height of the pyramid is h= - Class children calculation
In the beginning, there are two boys and x girls. Then another three children will come to the class. In the end, there are three times fewer boys than girls. How many girls and boys are in the class - Strawberry picking reward
For picking strawberries, the girls divided a reward of CZK 15,100 according to their performance. Lucy received CZK 400 more than Sarah, Jane received half of what Lucy and Sarah got together, and Camille received CZK 500 less than Jane. How many CZK did - LED circuit calculation
The LED parameters are: ULed is 3 V, Current 100 mA Take measures so that the LED at the U 12 V supply is not destroyed. Perform the calculation and also the wiring diagram. - Car meeting distance
At 7:00 AM, a truck left town A at a speed of 40 km/h. Opposite him, a passenger car left town B at 8:30 AM at a speed of 70 km/h. The distance between cities A and B is 225 km. At what distance from city A will the two cars compete? - Hockey team calculation
There were 16 more forwards than defensemen on the hockey team. As part of the investigation, the coach was tasked with dismissing a quarter of the attackers and four defenders from the team. After the release, 22 forwards and defensemen remained on the t - Birth
Let's assume that the probability of the birth of a boy and a girl in the family is the same. What is the probability that the youngest and oldest child in a family with five children is a boy? - Adding
Divide number 135 into two additions, one adding 30 more than 2/5 of the other. Write the bigger one. - Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p? - Power line pole
From point A, the power pole is visible at an angle of 18 degrees. From place B, which we reach if we go from place A 30 m towards the pillar at an angle of 10 degrees. Find the height of the power pole. - Growth of wood
The annual growth of wood in the forest is estimated at 2%. In how many years will make the forest volume double? - Percents from percent
How much is 13% of 20% of 500 greater than 8% of 14% of 200? - Four-element combinations
How many four-element combinations can we make from 10 elements? - The university
At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the - Lemonade
Eve added one liter of 100% fruit juice to three liters of water, leaving two liters for Alice and Bertha. She then added two more liters of water to the remaining two liters of lemonade and offered it to other friends. a. What percentage of juice did Ali - Combination element calculation
How many elements is it possible to form twice as many second-class combinations as a fourth-class combination? - Raindrops
The train runs at a speed of 14 m/s, and raindrops draw lines on the windows, forming an angle of 60 degrees with the horizontal. What speed do drops fall? - Delegation - b&g
There are 22 girls and nine boys in the class. How many ways can a delegation be created with three girls and one boy? - Barrel capacity calculation
The barrel is filled with water to 65% of its capacity. After adding three 10-liter buckets of water, the filling capacity of the barrel is already 77%. How many liters of water will fit in the barrel?
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