Grade - examples - page 70

  1. Freight and passenger car
    1999_Daewoo_Leganza The truck starts at 8 pm at 30 km/h. Passenger car starts at 8 pm at 40 km/h. Passenger arrives in the destination city 1 hour and 45 min earlier. What is the distance between the city of departure and destination city?
  2. Digging companies
    companies Company A would dig a pit for 12 days, company B for 15 days, company C for 20 days and the company D for 24 days. Work began together companies C and D, but after three days joined them other two companies. How long took to dig a pit?
  3. Isosceles IV
    iso_triangle In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle.
  4. Arc
    vysek What area of a circle occupied the flowers planted in the arc of a circle with radius 4 m with central angle 45°?
  5. Square Number
    squared-number If to a square of integer number add 31, we get the square of next integer number. What is the original number?
  6. For thinkings
    glass_cubes The glass cube dive into the aquarium, which has a length of 25 cm, width 20 cm and height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge?
  7. 3d vector component
    vectors_1 The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?
  8. Round table
    obrus-kruhovy Round table with diameter d = 105 cm is coated by square tablecloth with a side length 121 cm. About how many cm is higher center of tablecloth than its cornes?
  9. Guess number
    divide With what number should be divided number 9727 to be reduced by 70%?
  10. Golden ratio
    ratio Divide line of length 14 cm into two sections that the ratio of shorter to greater is same as ratio of greater section to whole length of the line.
  11. Decibel
    db A circuit has an input power of 58 mW. Its output power is 6 mW. What is the loss in decibels?
  12. One and a half chicken
    chicken_1 One and a half chicken bears one and a half egg in one and a half day. How many eggs can withstand from 6 chicken in 6 days?
  13. Square
    namestie Rectangular square has side lengths 183 and 244 meters. How many meters will measure the path that leads straight diagonally from one corner to the other?
  14. Scale of the map
    map_5 Determine the scale of the map, which is the actual distance of 120 km l represented by segment long 6 cm.
  15. Homework
    fruit In the crate are 18 plums, 27 apricot and 36 nuts. How many pieces of fruit left in the crate when Peter took 8 ninth: 1. nuts 2. apricots 3. fruit 4. drupe
  16. Iron
    250px-Iron_electrolytic_and_1cm3_cube Iron ore contains 57% iron. How much ore is needed to produce 20 tons of iron?
  17. Trunk
    kufor_auta Calculate length of the biggest fishing rod can be inserted into the trunk of a car with dimensions 165 x 99 × 85 cm?
  18. Bicycles
    cyclist_11 You're the owner of the transport 's learning playground. Buy bicycles of two colors but you've got to spend accurately 120000 Kč. Blue bike costs 3600Kč and red bicycle 3200Kč.
  19. Katy
    shipment Kate paid for the package on delivery of four meters textile 688 CZK. What is the price of one meter textile when shipping and handling amounted to 48 CZK?
  20. Nuts
    nuts How many we must have at least nuts if we can equally divide it to 10 children, 11 children or 19 children and any nut left?

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