Examples for 8th grade - page 68

  1. Saw
    kotuc Imagine that the saw blade with diameter 35 cm has one tooth colored with a different color. How long is path describing by the tip of the tooth after 7 minutes, if the blade is rotated 4704 times?
  2. Peleton
    tdf6 Cycling race was run at an average speed of 33 km/h. One cyclist lost with defect 6 minutes. How long and how far he must go at speed 38 km/h to catch peleton again?
  3. Triangle in circle
    triangle_in_circle Vertices of the triangle ABC lies on a circle with radius 6 so that it is divided into three parts in the ratio 3:2:5. Calculate the circumference of the triangle ABC.
  4. Solution
    chemistry In 300 dl red solution is 154 dl red color and in 132 dl blue solution is 12 dl blue color. How many dl of red and blue dl color solution must be mixed to get a mixture of 499 dl contain 168 dl of color?
  5. Cone
    cones Circular cone of height 16 cm and volume 5024 cm3 is at third of the height (measured from the bottom) cut plane parallel to base. Calculate the radius and circumference of the circular cut.
  6. Arc and segment
    odsek_kruh Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. Radius of the circle is 49 and corresponding angle is ?.
  7. Rectangular field
    field One dimension of the rectangular field is 258 m greater than second dimension. If each side of the rectangle increases by 11 m, increases the surface field is 3377 m2 . Determine dimencions of the field.
  8. 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 128 m of hot water pipelines 3/4" and the hot water has a price of 14.4 Eur/m3.
  9. Pump
    pumpa What power has a pump output to move 4502 hl of water to a height of 32 m for 5 hours?
  10. Railways - golden parachutes
    pavel-kravec_kdh As often happens in Slovakia habit, the state's financial institution which takes from poverty and gorilas give. A hardworking punishing taxes. Let's look at a short work of director Railway Company ZSSK - Mgr . P. K. : 18 months 'work' as director r
  11. Lunch for free
    Gastrolistky Gastro ticket are "free" and therefore they should be retained. This think many employees in Slovakia. Calculate how much money employee yearly earn if he get 217 gastro tickets of 2.7 € and you know that the company issuing gastro tickets get 4.4% fee of
  12. The game of blind man's buff
    socposit.JPG Slovak levy system makes the gross wage deductions from your pay state employees. It has two components - part employee pays and part pays by the employer Suppose that the super gross wage paid 24% employer. After deducting these contributions we receive g
  13. Cube 1-2-3
    cube_shield_1 Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
  14. Vehicle tank
    fuel_pump2 A vehicle tank was 3/5 full of petrol. When 21 liters of fuel was added it was 5/6 full. How many liters of petrol can the tank hold?
  15. Right triangle eq2
    rt_2 Hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle.
  16. Diagonal of square
    ctverec_mo_1 Calculate the side of a square when its diagonal is 10 cm.
  17. Probably member
    math_series Look at the series 2,6,25,96,285, ? What number should come next?
  18. Rainfall
    rain_2 The annual average rainfall in India was in Cherrapunji in the year 1981 26 461 mm. How many hectoliters of water fell on 1 m2? Would fit this amount of water into a cube of three meters?
  19. Unions now
    roh The plant has 1,250 employees. The Trade Unions (former ROH, OH) is 18% male, 23% female. Plant management reported that in the trade union is 20% of all employees. How many men and women are in plant and how many are men and women in trade unions?
  20. Sale
    usd A camera has a listed price of $751.98 before tax. If the sales tax rate is 9.25%, find the total cost of the camera with sales tax included.

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