Grade - examples - page 72

  1. 3d vector component
    vectors_1 The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?
  2. Cylinder surface, volume
    cyl The area of the cylinder surface and the cylinder jacket are in the ratio 3: 5. The height of the cylinder is 5 cm shorter than the radius of the base. Calculate surface area and volume of cylinder.
  3. 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?
  4. Cups
    pohare We have three cups. In the cups we had fluid and boredom we started to shed. 1 We shed one-third of the fluid from the second glass into the first and third. 2 Then we shed one quarter cup of liquid from the first to the second and to the third. 3 Then
  5. Barrel with liquid
    barrel Barrel with grain weight 297 kg. When it shed 48% of grain, ha weight 174 kg. What is the weight of empty barrel?
  6. 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
  7. 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?
  8. Floating floor
    floor In the new building is considered a floating floor worker in each room. 30 minutes lay 9 m2 of the floor. How long 3 workers laid the floor in 4 rooms with a total area of 90 m2?
  9. 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?
  10. 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?
  11. Iron
    250px-Iron_electrolytic_and_1cm3_cube Iron ore contains 57% iron. How much ore is needed to produce 20 tons of iron?
  12. Decibel
    db A circuit has an input power of 50 mW. Its output power is 8 mW. What is the loss in decibels?
  13. Plane
    rovnobezky On how many parts divide plane 6 parallels?
  14. Ski lessons
    skiing_2 On the ski course leaves 80 pupils. They live in triple and quadruple rooms. Count if rooms is the 23. How many are triple and quadruple rooms?
  15. Mr Novak
    Salary-increase Mr Novak earns an average 1249 euros. When increasing the salary they gave him a choice: ? What is better choice for Mr Novak?
  16. 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?
  17. Meridian
    Globe What is the distance (length) the Earth's meridian 23° when the radius of the Earth is 6370 km?
  18. 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.
  19. Wind drift
    airplane The plane flies at 860 km/h, passing distance 3000 kilometers with the wind and once again against the wind for 6 h 59 min. What is the wind speed?
  20. Sphere vs cube
    koule_krychle How many % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere?

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