Algebra - math word problems

  1. Chord
    chord In a circle with radius r=60 cm is chord 4× longer than its distance from the center. What is the length of the chord?
  2. Rectangles
    rectangles How many rectangles with area 8713 cm2 whose sides is natural numbers are?
  3. Guess number
    divide With what number should be divided number 9727 to be reduced by 70%?
  4. Secret number
    secret_num Determine the secret number n, which reversed decrease by 16.4 if the number increase by 16.4.
  5. Angles
    triangle The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other internal angles of a triangle.
  6. Rectangle SS
    rectangle Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
  7. Tourist
    map Tourist walk at 4.1 km/h. Every 5 km have 20-minute break. How many kilometers passed, when started at 4:40 and finished at 10:30?
  8. Heron backlaw
    heron_math Calculate missing side in a triangle with sides 17 and 34 and area 275.
  9. Seedcake
    pletenky Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros?
  10. Circle
    circle How big is area of circle if its circumference is 80.6 cm?
  11. Quadratic equation
    Parabola_tangent Quadratic equation ? has roots x1 = -26 and x2 = -86. Calculate the coefficients b and c.
  12. Number
    fractions_1 Calculate the integer number which, divided by 34 gives 10 and the rest 25.
  13. Thrift woman
    babky Calculate how long grandmother will save to new shoes priced 108 euros if save 3 Eur monthly.
  14. Cap
    cone_hat Jesters hat is shaped by a rotating cone. Calculate how much paper is needed to the cap 54 cm high when the head circumference is 47 cm.
  15. Compound interest
    exponential_usd Calculate time when deposit in the bank with interest 2.5% p.a. doubles.
  16. Chestnuts
    gastany Neil has 5-times chestnuts less than Adrian. Together they have 894 chestnuts. How many chestnuts has Neil and Adrian?
  17. Demographics
    population The population grew in the city in 10 years from 42000 to 54500. What is the average annual percentage increase of population?
  18. Wood in the forest
    drevo The amount of wood in the forest was estimated at 6000 m3. How much wood will be in forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m3 each year?
  19. Barrel of oil
    dieselbarrel Barrel of oil weighs 283 kg. When it mold 26% oil, weighed 216 kg. What is the mass of the empty barrel?
  20. Right triangle
    righttriangle Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.

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