Basic functions - math word problems

  1. Tractors
    tractors Fields go plow two tractors with various performance. The first tractor plow whole field in 11 hours, the second tractor plow whole field 19 hours longer. How long take plow whole field with two tractors?
  2. Circumference - a simple
    circle_radius What is the ratio of the circumference of any circle and its diameter? Write the result as a real number rounded to 2 decimal places.
  3. Big factorial
    sierpinski How many zeros end number 116! ?
  4. VAT
    tax VAT is a tax which the state artificially betrays goods and services for final consumption. VAT in Slovakia is 20%. Calculate how much percent pay less tax residents of Liechtenstein, when VAT is only 8%.
  5. Elections
    gaspar_billboard In elections candidate 10 political parties. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes.
  6. Window
    buranie_otvoru Peter demolish box hole in the wall for window frame 147×51 cm. When they came masters fitted frame and window will be found that glass is 13.3 cm from the hole in each direction. Calculate how much percent less light enters the window than hole?
  7. Density - simple example
    mercury Material of density of 532 kg/m3 occupies a container volume of 79 cm3. What is its mass?
  8. Discounts on rail (ZSSK)
    preukazy_zssk The railway company ZSSK offers a discount of 15% (REGIONAL) for 5 Eur/year. Calculate the real discount rate as a percentage, where passengers will travel 19 Eur per week.
  9. Logarithmic equation
    nat_log_ln Solve equation: log33(3x + 21) = 0
  10. 3y inflation
    bread Price of the roll rise in the first year by 9%, the second year fell by 5% and in the third year increased by 3%. Calculate the average annual increase in price of the roll.
  11. Cone in cylinder
    cone_in_cylinder The cylinder is inscribed cone. Determine the ratio of the volume of cone and cylinder. The ratio express as a decimal number and as percentage.
  12. Cone in cube
    kuzel_kocka The cube is inscribed cone. Determine the ratio of the volume of cone and cube. The ratio express as a decimal number and as percentage.
  13. Two doctors
    dr_cvach Doctor A will determine the correct diagnosis with a probability 93% and doctor B with a probability 79%. Calculate probability of correct diagnosis if patient is diagnosed by both doctors.
  14. Insurance
    tornado The owner of the house is insured against natural disasters and pays 0.04% annually of the value of house 77 Eur. Calculate the value of the house. Calculate the probability of disaster, if you know that 48% of the insurance is to pay damages.
  15. Number ratio
    ratio2 Calculate two positive numbers that its ratio is 6:6 and difference was 0.
  16. Monkey
    monkey Monkey fell in 40 meters deep well. Every day it climbs 3 meters, at night it dropped back by 2 m. On what day it gets out from the well?
  17. Solidarity
    salt Imagine a word solidarity means that salt donation to the needy, who have neither the salt. If we take word solidarity has word base salt + gift (only in Slovakian language). Calculate how many kilos of salt sympathetic citizen "gives" government a year i
  18. Maximum area of rhombus
    rhombus Calculate the interior angles at which equilateral rhombus has a maximum area.
  19. Shape
    some_airplane Plane shape has a maximum area 677 mm2. Calculate its perimeter if perimeter is the smallest possible.
  20. Farmer
    krava The farmer farming 293 ha of arable land and the remaining 20% are meadows and pastures. How much land farmer owns?

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