# Grade - examples - page 62

1. Steps
Adult step has a length 76 cm. How many steps will he goes distance 50 meters? How many meters he goes when he makes 700 steps?
2. Square and circle
Into square is inscribed circle with diameter 10 cm.What is difference between circumference square and circle?
3. Car rent
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
4. Factors
Can the expression ? be factored into rational factors?
5. Variations 3rd class
From how many elements we can create 13,800 variations 3rd class without repeating?
6. Trapezium
Determine the height of the trapezium ABCD, which has area 77.5 cm2 and base lengths 16 cm and 15 cm.
7. Solution
In 469 dl red solution is 84 dl red color and in 102 dl blue solution is 52 dl blue color. How many dl of red and blue dl color solution must be mixed to get a mixture of 247 dl contain 116 dl of color?
8. Rhombus IV
Calculate the length of the diagonals of the rhombus, whose lengths are in the ratio 1: 2 and a rhombus side is 35 cm.
9. Derivation
Exists a function whose derivation is the same function?
10. Louvers
The company charges for office equipment louvers total 262 Eur. From the delivery bill is obvious that the louvers are 76 Eur expensive than their installation. What percentage of the total charged is the installation of louvers?
11. Circles
For the circle c1(S1; r1=146 cm) and c2(S2; r2 = 144 cm) is distance of centers |S1S2| = 295 cm. Determine the distance between the circles.
12. Painting rooms
If Dano paint three hours daily given work he complete in 7.5 days. How many hours a day would have to work to finish the job 1.5 days earlier?
13. Raffle
In the pool is numbers from 1 to 115. What is the probability that a randomly selected number is not a prime number?
14. Special cube
Calculate the edge of cube, if its surface and its volume is numerically equal number.
15. Father and son
Father is 48 years old, son 23. When will be the father twice older than a son?
16. Logs
The log has diameter 30 cm. What's largest beam with a rectangular cross-section can carve from it?
17. Rotary cylinder
The rotating cylinder has a surface area 69.08 cm2. The area of the shell is 62.8 cm 2. What is the diameter of the cylinder?
18. Bus stop
Determine at what time the bus leaves from the bus stop outside the village, if you know that when you leave home at 8:00 and go at speed 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go speed at 4 km/h, you come to the
19. Chord - TS
The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS?
20. 3-bracket 2
May be the smallest angle in the triangle greater than 40°?

Do you have an interesting mathematical example that you can't solve it? Enter it, and we can try to solve it.

To this e-mail address, we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.