Examples for secondary school students - page 77 of 237
Number of problems found: 4730
- Bank account CZ
We will deposit CZK 6,600 into the bank for one year with an interest rate of 2.5%. The interest tax is 15%. How many crowns will we receive after one year? - Four children
What is the probability that in a family with four children, there are: a) at least three girls b) at least one boy, If the probability of a boy is 0.51? - Spherical section cut
Find the volume of a spherical section if the radius of its base is 10 cm and the magnitude of the central angle ω = 120 degrees. - Trapezoid height angle
In the isosceles trapezoid ABCD, its bases AB = 20 cm, CD = 12 cm and arms AD = BC = 8 cm are given. Specify its height and alpha angle at vertex A - Lotto ticket jackpot
Determine how many different ways a Lotto ticket can be written if we guess six numbers out of 49. At what Jackpot would it already pay to bet so many tickets to be guaranteed to win the 1st prize? The price of one type is €1. - Student exam selection
V III. There are 22 students in the FPR class. How many ways can four students be selected for a DVK class exam? - Candidate selection ways
Out of 10 candidates, we must select three for the commission. How many ways can this be done? - Slalom finalist options
Thirteen skiers compete in the big slalom. The first four advance to the finals. How many options are there? - Bank withdrawal time
We will deposit € 10,500 at the bank at 1.1% interest, and we want to withdraw € 11,000. How many years do we have to wait? Round to 2 decimal places. - Population growth percentage
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in percents. - The six
The six boys will be led up the hill by a two-seater lift. How many options are there? - Service specification ways
There are 15 boys and 20 girls in the brigade. How many different services can be specified if one girl and two boys are on the service? - Card drawing ways
How many ways can you draw eight playing cards from 32 playing cards when their order doesn't matter? - Medal division ways
Ten teams are playing in the Slovak hockey league. Gold, silver, and bronze medals are at stake. How many ways can it be divided? - Covid-19
Data showed that 22% of people in a small town were infected with the COVID-19 virus. A random sample of six residents from this town was selected. Find the probability that exactly two of these residents were infected. - Machine defect probability
The machine produces one part in 2 minutes. The probability that it is defective is 0.05. What probability will the machine produce exactly ten defective parts per shift (8 hours)? - Doctors
The drug successfully treats 90% of cases. Calculate the probability that it will cure at least 18 patients out of 20. - Ball kick speed
The football player kicked a 400 g ball with a force of 480 N during a penalty. How fast did the ball again if it was subjected to an impact force of 0.01 s? - Seeds
The germination of seeds of a certain species of carrot is 96%. What is the probability that at least 25 seeds out of 30 will germinate? - Parametric equation
Point A [6; -2]. Point B = [-3; 1] Write the parametric equation of the line BA so that t belongs to the closed interval < 0;3 >
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