Grade - examples - page 20

  1. Equilateral triangle
    3angle_in_circle How long should be the minimum radius of the circular plate to be cut equilateral triangle with side 19 cm from it?
  2. Ships
    titanic_1 At 8:40 the ship set sail at 12 km/h. At 19:10 followed by at 29 km/h sail boat. When sail boat catches up the ship? How many minutes will catch up took?
  3. Shelf
    bookshelf.JPG How many ways are there to arrange 6 books on a shelf?
  4. Hexagon A
    hexagon Calculate area of regular hexagon inscribed in circle with radius r=9 cm.
  5. RBA
    ksu Regional Building Authority has an annual budget of EUR 1806814. In previous calendar year has processed 804 approval procedures. How much does an average of one building approval costs (eg unsuccessful revoke)?
  6. Leg and height
    right_triangles Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m.
  7. Similarity coefficient
    eqlateral_triangles The ratio of similarity of two equilateral triangles is 3.5 (ie 7:2). The length of the side of smaller triangle is 2.4 cm. Calculate the perimeter and area of ​​the larger triangle.
  8. Orchard
    orchard 9 trees in 2 lines grows in the orchard. How many trees are in the orchard?
  9. Gold wire
    gold_wire From one gram of gold was pulled wire 2.1 km length. What is it diameter if density of Au is ρ=19.5 g/cm3?
  10. I think number
    hats I think number.When I add 841 to it and subtract 157, I get a number that is 22 greater than 996. What number I thinking?
  11. Balls
    steel_ball Three metal balls with volumes V1=71 cm3 V2=78 cm3 and V3=64 cm3 melted into one ball. Determine it's surface area.
  12. Circle
    circle How big is area of circle if its circumference is 80.6 cm?
  13. Regular quadrangular pyramid
    6 How many square meters is needed to cover the tower the shape of regular quadrangular pyramid base edge 10 meters, if the deviation lateral edges from the base plane is 68 °? Calculate coverage waste 10%.
  14. Metallurgical enterprise
    iron_industry Metallurgical company daily produces 318 tons of cast iron. How many tons of coke it burns to melt cast iron when 10 tons of cast consumes 6 tons of coke?
  15. Number ratio
    ratio2 Calculate two positive numbers that its ratio is 6:6 and difference was 0.
  16. Axial section
    cylinder_cut Axial section of the cylinder has a diagonal 31 cm long and we know that the area of the side and the area of base is in ratio 3:2. Calculate the height and radius of the cylinder base.
  17. Center
    triangle_axis Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[11,4] B[13,-7] C[-17,-18].
  18. Ratio
    ratio_1 6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers?
  19. Chocolates
    Chocolate In the market have 4 kinds of chocolates. How many ways can we buy 19 chocolates?
  20. Plumber
    klempir Plumber had to cut the metal strip with dimensions 380 cm and 60 cm to the largest squares so that no waste. Calculate the length of the sides of a square. How many squares cut it?

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