Units - math word problems

  1. Contestants
    penize_2 The three best contestants are to divide the total prize of CZK 4,200. The second gets 20% more than the third. And the first one gets 200 CZK less than the second and the third together. How much will everyone get?
  2. Triangular prism - regular
    prism3s The regular triangular prism is 7 cm high. Its base is an equilateral triangle whose height is 3 cm. Calculate the surface and volume of this prism.
  3. Permille of alcohol
    heart I have 2 per mille of alcohol in my blood. How many milliliters is it when I have 5 liters of blood?
  4. Hemisphere cut
    odsek_gule Calculate the volume of the spherical layer that remains from the hemisphere after the 3 cm section is cut. The height of the hemisphere is 10 cm.
  5. Kostka
    sphere_in_cube Kostka je vepsána do koule o poloměru r = 6 cm. Kolik procent tvoří objem kostky z objemu koule?
  6. Troops
    calendar There are two leaders in the tourist group, with an average age of 30 years and several children with an average age of 10 years. The total age of the group is 12 years. How many children are in the group?
  7. Bent scale
    vaha_1 Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the weight on the scale was bent. How much did they really weigh?
  8. A swiming
    water2 A swiming pool holds 30000lt of water. How many gallons does it hold? 1 gallon= 4.55lt
  9. Compute 4
    14-12-12 Compute the exact value of the area of the triangle with sides 14 mi, 12 mi, and 12 mi long.
  10. The freezer
    freezing 1. The temperature inside a freezer is minus 23 degree Celsius. The temperature falls by a further 12 degree degree Celsius. What is the new temperature? 2. What is the difference between temperatures of 12 degree Celsius and 210 degree Celsius?
  11. Decide 2
    vectors2 Decide whether points A[-2, -5], B[4, 3] and C[16, -1] lie on the same line
  12. Triangular prism
    hranol3b The base of the perpendicular triangular prism is a rectangular triangle with a hypotenuse of 10 cm and one leg of 8 cm. The prism height is 75% of the perimeter of the base. Calculate the volume and surface of the prism.
  13. Block or cuboid
    cuboid The wall diagonals of the block have sizes of √29cm, √34cm, √13cm. Calculate the surface and volume of the block.
  14. Right angle
    triangles_1 If a, b and c are two sides of a triangle ABC, a right angle in A, find the value on each missing side. If b=10, c=6
  15. Penalty daily
    bank_1 John was to pay CZK 1,500. If he does not pay on time, he will be charged a penalty of 0.5 per mille of the amount owed for each day of delay. He will remember in 30 days. How much is the penalty?
  16. A lot of hay
    zajic Martin's grandfather weighed a lot of hay and calculated that for 15 rabbits it last in 100 days. How many days will this lot be enough for 25 rabbits?
  17. The tourist
    eq2 The tourist wanted to walk the route 16 km at a specific time. He, therefore, came out at the necessary constant speed. After a 4 km walk, however, he fell unplanned into the lake, where he almost drowned. It took him 20 minutes to get to the shore and re
  18. Two rectangular boxes
    cuboid_2 Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and 5 cm, 12 cm, 1 dm are to be replaced by a single cube box of the same cubic volume. Calculate its surface.
  19. The largest
    cylinder_in_cube The largest possible cylinder was cut from a 20 cm cube. What is the volume of this cylinder?
  20. The edge of a cube
    cubes How much does the edge of a cube of 54.9 cm3 measure?

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