Grade - examples - page 156

  1. Regular n-gon
    regular_polygons Which regular polygon have a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm?
  2. AP - basics
    ap Determine first member and differentiate of the the following sequence: a3-a5=24 a4-2a5=61
  3. Cargo load
    truck_5 How many products weighing 12.5 kg can be loaded on a cargo car with a load of 1.5 t to load two-thirds?
  4. Map scale
    rectangles_12 On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters?
  5. Trapezium
    lichobeznik_mo_z8_2 The lengths of a parallel sides of a trapezium are (2x+3) and (x+8) and the distance between them is (x+4). if the area of the trapezium is 590 , find the value of x.
  6. Sequence - 5 members
    schody Write first five members of the sequence ?
  7. Content area and percents
    squares_8 Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
  8. Tree trunk
    tram From the tree trunk, the diameter at the narrower end is 28 cm, a beam of square cross-section is to be made. Calculate the longest side of the largest possible square cross-section.
  9. Zahrada
    fence_1 Zahrada má rozměry 5m a 400cm. Kolik pletiva třeba na oplocení pozemku?
  10. Volleyball
    volejbal 8 girls wants to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of this girls may trainer to choose?
  11. Two sisters
    cd_disc Two sisters together have 54 CDs. 6/8 CDs has younger sister and is equal to 3/5 of CDs older sisters. How many CDs has each of the sisters?
  12. Cube walls
    krychle_6 Find the volume and surface area of the cube if the area of one wall is 40cm2.
  13. Z9–I–4 MO 2017
    vlak2 Numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 were prepared for a train journey with three wagons. They wanted to sit out so that three numbers were seated in each carriage and the largest of each of the three was equal to the sum of the remaining two. The conducto
  14. Wine
    vino_1 A bottle of wine costs 21 euros; and wine is 20 times more expensive than a bottle. How much a bottle cost?
  15. Acid solution
    h2so4 By adding 250 grams of a 96% solution of sulfuric acid to its 3% solution its initial concentration was changed to 25%. How many grams of 3% of the acid were used for dilution?
  16. Identity
    numbers_49 123456789 = 100 Use only three plus or minus characters to correct previous identity/equation.
  17. Boxes
    krabice 200 boxes have been straightened in three rows. The first was 13 more than in the second, and in the second was one fifth more than in the third one. How many boxes are in each row?
  18. Tadeus
    mince_2 Tadeus and Jolana have a total of CZK 15. Jolana has half that of Tadeus. Nevertheless, Jolana has 3 coins and Tadeus 2. Which coin does Tadeus have and which Jolan?
  19. Blackberries
    ribezle Damián gathered for 19 days 9.5 kg of blackberries. Milada gathered for two days 1.6 kg of currants. How much would collect Damián blackberries per day and how much currants Miladka per day?
  20. Triangular prism
    hranol_5 The perpendicular triangular prism is a right triangle with a 5 cm leg. The content of the largest wall of the prism is 130 cm2 and the body height is 10 cm. Calculate the body volume.

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