Grade - examples - page 62

  1. Resistors
    resistors Two resistors connected in series give the resulting resistance 70Ω and 14.7Ω in parallel. Determine the resistance of this resistors.
  2. Conserving water
    pipes Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in pipeline. Residential house has 129 m of hot water pipelines 5/8" and the hot water has a price of 7 Eur/m3.
  3. Shadow and light
    stin Nine meters height poplar tree has a shadow 16.2 meters long. How long shadow have at the same time Joe if he is 1,4m tall?
  4. Scale
    valec_vykres Cylinder was drawn in scale 2:1. How many times is the volume of the cylinder smaller in reality?
  5. Drive
    school-bus At the bus stop 8 people take out and 10 people take into bus. Next stop 6 take out and 5 take in. On the third stop 6 take out and 3 take in. The bus traveled further with 39 people. How many passengers were originally at the bus?
  6. Brothers and sisters
    family Lenka has as many brothers as sisters. Her brothers have twice as many sisters as brothers. How many brothers and sisters are in the family?
  7. Euclid 5
    euclid_3 Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm.
  8. Tree trunk
    kmen Calculate the average tree trunk with a circumference of 149 cm.
  9. Peleton
    tdf6 Cycling race was run at an average speed of 45 km/h. One cyclist lost with defect 8 minutes. How long and how far he must go at speed 51 km/h to catch peleton again?
  10. Wire cut
    Cut-Wire A wire of length 7 m was cut into equal lengths using 4 cuts. How long is each piece?
  11. Sports games
    kureci_olympiada Pupils of same school participated district sports games. When dividing into teams found that in the case of the creation teams with 4 pupils remaining 1 pupil, in the case of a five-member teams remaining 2 pupils and in the case of six-members teams r
  12. Function
    lin_functions For linear function f(x) = ax + ​​b ‬ is f(14)=179; f(15)=154. Calculate m, if f(m) = 2019 .
  13. Cable car
    lanovka Cable car rises at an angle 45° and connects the upper and lower station with an altitude difference of 744 m. How long is "endless" tow rope?
  14. Factors
    factors Can the expression ? be factored into rational factors?
  15. Tin with oil
    konzerva Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. Canned surface is 1884 cm2. Calculate how many liters of oil is in the tin.
  16. Car rent
    car_5 Rental cars are paid a fixed daily fee plus 16 cents for each kilometer traveled. Samuel want to rent a car for a day and worked out that will pay 175 euros. When paying he got a 20% discount on the daily fee, the cost per kilometer is unchanged. Samuel th
  17. Inclined plane
    naklonena_rovina On the inclined plane with an angle of inclination of 30 ° we will put body (fixed point) with mass 2 kg. Determine the acceleration of the body motion on an inclined plane.
  18. 4-gon
    trapezoid It is true that a 4-gon whose two sides are parallel and the other two has equal length, is a parallelogram?
  19. Clock hands
    watch_3 The hands on the clock shows the time 12 hours and 2 minutes. Calculate the size of a sharp angle between clock hands three hours later.
  20. Trapezium
    trapezium_1 Determine the height of the trapezium ABCD, which has area 77.5 cm2 and base lengths 16 cm and 15 cm.

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