Examples for secondary school students - page 58 of 213
Number of problems found: 4256
- Three-digit 38371
How many odd three-digit numbers can you make of the five cards with the numbers 1, 2, 3, 5, and 6? - Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°. - Separated 38223
What is the intensity of the electric field at a point that lies in the middle between two point charges Q1 = 5.10-5 C and Q2 = 7.10-5 C, which is separated by r = 20 cm? The charges are placed in a vacuum. - Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds.
- Cups on the shelf
We should place two green, three red, and two yellow cups side by side on the shelf. a) How many different ways of setting up can arise? b) How many different ways of arranging can arise if cups of the same color stand side by side? - Different 38123
How many ways can we put seven different books on the shelf? - Starting 38113
How many ways can we put 19 students in a row when starting a gym? - Annual interest
A loan of 10 000 euros is to be repaid in annual payments over ten years. Assuming a fixed 10% annual interest rate compounded annually, calculate: (a) the amount of each annual repayment (b) the total interest paid. - Probability 38083
The police solved 21 crimes in the monitored period. The probability of solving a crime is 0.64. What is the probability that the police: a) just solved 7 crimes b) did not solve at least 2 criminal offenses P.S. Let's assume ideal police officers
- Probability 38041
Seven women and 3 men work in one office. According to the new regulation, reducing the number of employees by three is necessary. In a random sample of employees, what is the probability that they will be fired: a. One woman and two men b. At least one w - Interest rate
We borrowed CZK 50,000. The annual interest rate was 6%. We have to repay the entire debt in 5 years. How much will we pay? (use the compound interest relationship). - Installment 38011
We borrowed CZK 150,000 at a monthly interest rate of 2%. At the end of each month, interest is added, and we immediately pay an installment of CZK 30,000. How much will we owe in 5 months? - Instantaneous 37961
A plane wave has an amplitude u0 = 40 cm and a frequency f = 10 Hz. The speed of wave propagation through the medium is v = 40 cm. S-1. At a distance x = 10 cm from the starting point, the wave has an instantaneous deflection u = 15 cm. How long does it t - 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?
- Probability 37651
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. - Isosceles 37621
In the isosceles trapezoid ABCD, its bases AB = 20cm, CD = 12cm and arms AD = BC = 8cm are given. Specify its height and alpha angle at vertex A - Guaranteed 37611
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. - Selected 37601
V III. There are 22 students in the FPR class. How many ways can four students be selected for a DVK class exam?
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