Grade - examples - page 20

The rectangular crossroads comes passenger car and an ambulance, the ambulance left. Passenger car is at 43 km/h and ambulance 52 km/h. Calculate such a relative speed of the ambulance moves to the car.
2. n-gon II
What is the side length of the regular 5-gon circumscribed circle of radius 11 cm?
3. Canopy
Mr Peter has metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 3.3 m2?
4. Pentagon
Within a regular pentagon ABCDE point P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch.
5. Civil protection
Students on civil protection exercise went 5800 m long trip. How many kilometers is it approximately?
6. Homework
The monthly fee for the phone is 12 USD and for phone unit 0.08 USD. How much family pay phone in the first quarter Q1, if on January 1 had on the counter 97362 units and on April 1 97946 units.
7. Percent calculation
Calculate 61% if 85% is 38.
8. Isosceles trapezium
Trapezoid YSED (YS||ED) is isosceles. The size of the angle at vertex Y is 17 degrees. Calculate the size of the angle at vertex E.
9. Compound interest
Calculate time when deposit in the bank with interest 2.5% p.a. doubles.
10. Rectangles
How many rectangles with area 3032 cm2 whose sides is natural numbers are?
11. Estate
Semicircle estate must be fence. The straight section has 26 meters long fence. How many meters of fence should buy?
12. Angle between lines
Calculate the angle between these two lines: ? ?
13. Tetrapack
How high should be the milk box in the shape of a prism with base dimensions 8 cm and 8.8 cm if its volume is 1 liter?
14. n-gon
Gabo draw n-gon, which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon?
15. Stairway
What angle rising stairway if step height in 17 cm and width 27 cm?
16. Climb
Road has climbing 1:27. How big is a angle corresponds to this climbing?
17. Pension or fraud
Imagine that your entire working life working honestly and pay taxes and to Social Insurance (in Slovakia). You have a gross wage 730 Euros, you pay social insurance (you and your employer) monthly € 263 during 44 years and your retirement is 354 Eur.
18. Goat and circles
What is the radius of a circle centered on the other circle and the intersection of the two circles is equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which g
19. Tetrahedral pyramid
Calculate the volume and surface of the regular tetrahedral pyramid if content area of the base is 20 cm2 and deviation angle of the side edges from the plane of the base is 60 degrees.
20. Square 2
Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate area of the square ABCD.

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