Grade - examples - page 138

  1. Population
    population_2 What is the population of the city with 3% annual growth, if in 10 years the city will have 60,000 residents?
  2. Geometric sequence 5
    sequence About members of geometric sequence we know: ? ? Calculate a1 (first member) and q (common ratio or q-coefficient)
  3. Cuboid easy
    cuboid_11 The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid.
  4. Cube
    cubes_14 One cube has edge increased 5 times. How many times will larger its surface area and volume?
  5. Cost reduction
    mp3_1 Two MP3 players whose price was equal to originally have been discounted the first by 20%, the second by 35%. After the price reduction was the difference in their prices 750, - CZK. What was the original price of each of the two players?
  6. Badminton
    clock_4 Peter's badminton class starts a quarter past two PM. He came at 13:16 . Does Peter arrive on time?
  7. Cruise liner
    parnik_1 Cruise liner runs along the river between points A and B. The journey downstream takes 40 minutes 1 hour upriver. The flow rate of the river is 3 km/h. What is the speed of cruise liner?
  8. Family parcels
    map_4 In father will he divided the land so that the older son had three bigger part than younger son. Later elder son gave 2.5 ha field to younger and they had both the same. Determine the area of family parcel.
  9. Mountain
    manga_parbat Mountain has the elevation 7450 meters and in the morning is the middle portion thereof in the clouds. How many meters of height is in the sky if bellow the clouds is 2,000 meters and above clouds are two fifths of elevation of the mountain?
  10. Milk
    milk_1 Mum bought 16 cartons of milk. One carton of milk weight 0.925 kg. How many weight all purchase?
  11. Sugar 9
    cukr_6 150 kg of sugar beet yields 24 kg of sugar. From how many tons of sugar beet can be obtained three tons of sugar?
  12. Regular octagon
    220px-N_uholnik Draw the regular octagon ABCDEFGH inscribed with the circle k (S; r = 2.5 cm). Select point S' so that |SS'| = 4.5 cm. Draw S (S '): ABCDEFGH - A'B'C'D'E'F'G'H'.
  13. Virus
    virus We have a virus that lives one hour. Every half hour produce two child viruses. What will be the living population of the virus after 3.5 hours?
  14. MO Z6-6-1
    kruhy_1 Write integers greater than 1 to the blanks in the following figure, so that each darker box was product of the numbers in the neighboring lighter boxes. What number is in the middle box?
  15. Isosceles trapezoid
    rr_lichobeznik Calculate the circumference and the contents of the isosceles trapezoid if you know the size of the bases is 8 and 12 cm and the size of the arms is 5 cm.
  16. Clay
    lopatka How many cubic centimeters of clay is in a pit of dimensions 4 m x 3 m x 3 m?
  17. Rounding
    approx The following numbers round to the thousandth:
  18. TVs
    tv Production of television sets increased from 3,500 units to 4,200 units. Calculate the percentage of production increase.
  19. Two numbers
    fractal_6 The sum of the two numbers is 1. Find both numbers if you know that half of the first is equal to one seventh of the second number.
  20. Is right triangle
    triangle_1111_4 Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m

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