Examples for secondary school students - page 59 of 213
Number of problems found: 4256
- Thirteen 37581
Thirteen skiers compete in the big slalom. The first four advance to the finals. How many options are there? - Interest 37571
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 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in%. - The six
The six boys will be led up the hill by a two-seater lift. How many options are there?
- Different 37541
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? - Doesn't 37531
How many ways can you draw eight playing cards from 32 playing cards when their order doesn't matter? - Depreciated 37521
The initial price of the machine is 12000 euros. 21% of its price is depreciated yearly due to wear and tear. What value will the machine have after five years? - Divided 37473
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.
- Probability 37381
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. - Subjected 37351
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 >
- Oscillating 37271
Calculate the oscillation time T of the undamped harmonic oscillating motion of a particle of mass m = 10 g if the force holding the particle in this motion has a value of F = 0,05 N at a deflection of x = 3 cm. - Instantaneous 37201
The amplitude of the linear undamped harmonic oscillator is A = 12 cm, and the frequency f = 15 Hz. What is its instantaneous deflection at time a) t1 = 0.02s, b) t2 = 0.04s, when it was zero at time t = 0 s? - Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was. - Depreciated 37171
The initial price of the machine is 23,000 euros. Every year, 12% of its cost is depreciated due to wear and tear. What value will the machine have after six years? - Withdraw 37161
We will put € 8,500 into the bank at 1.3% interest, and we want to withdraw € 8,700. How many years do we have to wait? Round to 2 decimal places.
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