Grade - examples - page 34

1. Triangle KLB
It is given equilateral triangle ABC. From point L which is the midpoint of the side BC of the triangle it is drwn perpendicular to the side AB. Intersection of perpendicular and the side AB is point K. How many % of the area of the triangle ABC is area o
2. Cathethus and the inscribed circle
In a right triangle is given one cathethus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle.
3. Box
Calculate the angle between box base 9 x 14 and body diagonal length 18.
4. Do you solve this?
Determine area S of rectangle and length of its sides if its perimeter is 102 cm.
5. Subsets
How many are all subsets of set ??
6. Machine
Price of the new machine is € 62000. Every year is depreciated 15% of residual value. What will be the value of the machine after 3 years?
7. Circumscribing
Determine the radius of the circumscribed circle to the right triangle with legs 9 cm and 6 cm.
8. Opposite numbers
Calculate opposite numbers (additive inverse) to given ones:
9. Workers
Workers digging a jump pit in the school yard. Pit has a cuboid shape with a length 12 m, a width 20 dm and depth 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is need to the excavate this pit?
10. Distance
Calculate distance between two points X[18; 19] and W[20; 3].
11. Balance
The rod are 1.9 m long hanging weights 4 kg and 1 kg on ends. Where are centre of rod (distance from weight 4 kg) to be in balance?
12. Balls
From the urn in which are 7 white balls and 17 red, gradually drag 3-times without replacement. What is the probability that pulls balls are in order: red red red?
13. Glass mosaic
How many dm2 glass is nessesary to produc 97 slides of a regular 6-gon, whose side has length 21 cm? Assume that cutting glass waste is 10%.
14. Weight of air
What is the weight of air in the living room measuring width 5 m length 2 m and height 2.8 m? Air density is ρ = 1.2 kg/m3.
15. Rectangle A2dim
Calculate the side of the rectangle, if you know that its area is of 2590 m2 and one side is 74 m.
16. Tank
In the middle of a cylindrical tank with a bottom diameter 251 cm is standing rod which is 13 cm above the water surface. If we bank rod its end reach surface of the water just by the tank wall. How deep is the tank?
17. Car
Car travels 1/3 of the trip on the first day, second day 2/5 of the trip and left even 340 km for next days. How long is the trip?
18. CDs
Adam has 9 CDs more than Filip and 10 CDs less than Dominica. Filip has 7 CDs. How many CDs has Adam and how many CDs has Dominika?
19. Inscribed rectangle
The circle area is 216. Determine the area of inscribed rectangle with one side 5 long.
20. Thrift woman
Calculate how long grandmother will save to new shoes priced 108 euros if save 3 Eur monthly.

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