Mathematics

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• Triangular prism - regular
  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.
• Permille of alcohol
  I have 2 per mille of alcohol in my blood. How many milliliters is it when I have 5 liters of blood?
• In the classroom
  There are 30 boys and a few girls in the class. In the six months, 28 boys and all girls benefited, which was 95% of all pupils. How many pupils are there in the classroom?
• Hemisphere cut
  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.
• Five element
  The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S₆ = 63. Find the fifth element a₅.
• Kostka
  Kostka je vepsána do koule o poloměru r = 6 cm. Kolik procent tvoří objem kostky z objemu koule?
• Troops
  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?

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