Examples for secondary school students - page 75 of 232

Number of problems found: 4622

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 >
Oscillation time
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.
Oscillator deflection
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.
Machine depreciation
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?
Bank withdrawal time
We will deposit € 8,500 into the bank at 1.3% interest and withdraw € 8,700. How many years do we have to wait? Round to 2 decimal places.
Fountain work possibilities
There are seven fountains in the city. Only five always work. How many possibilities do five fountains work at the same time?
Paper example compilation
The examiner has prepared 20 examples from arithmetic. He wants to choose seven samples for the paper. The order of the examples does not matter. How many different papers can he compile?

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