Basic functions - math problems

Number of problems found: 2472

  • The notebook
    notes After rising by 40%, the notebook cost 10.50 euros. How much did this notebook cost if it increased in price by only 20% instead of 40%?
  • Annual growth
    exp_growth2 The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
  • Granddaughter
    calendar In 2014, the sum of the ages of Meghan's aunt, her daughter and her granddaughter was equal to 100 years. In what year was the granddaughter born, if we know that the age of each can be expressed as the power of two?
  • Shepherd
    sheep Kuba makes a deal with a shepherd to take care of his sheep. Shepherd said Kuba that after a year of service, he would receive twenty gold coins and one sheep. But Kuba resigned just after the seventh month of service. But shepherd rewarded him and paid h
  • Fraction to decimal infinite
    decimals2 Determine which digit is at 1000th place after the decimal point in the decimal expansion of the fraction 9/28.
  • Weighted harmonic average
    workers Ten workers will do some work in 2 minutes, five workers in 10 minutes and three workers in 6 minutes. How many minutes per average worker per worker?
  • Harmonic mean
    means_math If x, y, z form a harmonic progression, then y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5.
  • HP - harmonic progression
    exp_growth Determine the 10th term of the harmonic progression 6,4,3,…
  • All pairs
    cisla Determine all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s (a) denotes the digit sum of the natural number a.
  • Group of children
    family There is a group of children. There is a boy named Adam in each of the three children subgroup and a girl named Beata in each quartet (four-member subgroup). How many children can be in such a group and what are their names in that case?
  • Cuboid edges
    cuboid_3colors The lengths of the cuboid edges are in the ratio 2: 3: 4. Find their length if you know that the surface of the cuboid is 468 m2.
  • Eight chairs
    family There are eight chairs by the table and one more child sitting on each one. There are two times more girls than boys. How many girls and how many boys can there be?
  • Quarter of an hour
    clocks2 If the clock showed a quarter of an hour more, it would be 10 minutes to 10 hours. How many hours do they show?
  • Seasonal sale
    bicycle_gears The bike became cheaper on the seasonal sale by 22%, which is 88 euros. At what price is it sold now?
  • Clothes
    sveter CZK 2,400 cost clothes, a sweater by 150% than a T-shirt, trousers 2x more than a sweater, a jacket as a sweater and trousers together. What did the individual clothes cost?
  • 15% of
    bank2 15% of the revenue from sales was CZK 24,000 and it had to be written off as sales tax. What was the net profit on sales?
  • 120 nuts
    oriesky Divide 120 nuts in a ratio of 4: 6.
  • RC time constant
    capacitor You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material.
  • Three groups
    workers In the company, employees are divided into three groups. In the first group, which includes 12% of the company's total number of employees, the average salary is CZK 40,000, in the second group CZK 35,000, in the third group CZK 25,000. The average salary
  • Two shops
    ski In two different shops, the same skis had the same price. In the first, however, they first became more expensive by 20% and then cheaper by 5%. In the second, they were first cheaper by 5% and then more expensive by 30%, so after these adjustments in the

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