# Grade - examples - page 93

1. Circle and hexagon Calculate the radius of a circle whose circumference is 8.4 cm longer than the circumference of the inscribed regular hexagon.
2. Surveyor Calculate the area of ​​what may vary rectangular, if it focused by surveyor and found the dimensions 18 x 15 m while in each of the four joint points can be position deviation 25 cm?
3. Tram stop At the tram stop met tram No. 4 and no. 5 at 10 AM. Tram no. 4 runs every 5 minutes, tram No. 5 at an interval of 7 minutes. How many times will meet until 12 o'clock?
4. Street Straight streets is long x = 1425 meters. At the beginning and at the end of the street are poles. The poles are spaced 25 m. How many poles are on the street?
5. Harvester Harvester has cutting width 4 m and harvested grain in the field, which is 87 meters wide. Harvester moves along the length of the field for six minutes, going back (without cutting) it takes half the time. Each turn at the end field take one minute. How m
6. Null points Calculate the roots of the equation: ?
7. Third dimension Calculate the third dimension of the cuboid: a) V = 224 m3, a = 7 m, b = 4 m b) V = 216 dm3, a = 9 dm, c = 4 dm
8. Purchase Three buyers pay € 468. The first paid 3-times more than second, third half over second. How many euros paid each of them?
9. MO-Z5-3-66 tiles The picture shows a square tiles with side 10 dm which is composed of four identical small rectangles and squares. Circumference of small square is five times smaller than the circumference of the entire tile. Determine the dimensions of the rectangle.
10. Stand-by power Determine the year-round consumption of appliances in stand-by mode. Stand-by mode is regime the unit continuously 24 hours consume a tiny amount of electricity. Typically are televisions, electric ovens, radios, computers, monitors, satellite receivers, w
11. Mother and daughter 2 The mother is 40 years older than her daughter. How old is the mother if her age is eight thirds age of daughter? The regular quadrangular prism has a base edge a = 7.1 cm and side edge = 18.2 cm long. Calculate its volume and surface area.
13. CD disc A compact disc has a diameter of 11.8 cm. What is the surface area of the disc in square centimeters?
14. VAT lottery Father earns 993 euro a month, mother 918 euro per month. Calculate what amount they paid as value added tax (VAT) to the government if the VAT rate is 20%. Assume that the family will spend their entire monthly income.
15. Doctors In the city operates 171 doctors. The city has 128934 citizens. How many citizens are per one doctor?
16. The ship The ship went upstream speed of 20 km/h in relation to water. River flows at speed 10 km/h. After half an hour, he stopped and returned downstream to the starting point. How long it took way back when even if downstream speed of ship is 20 km/h in relation
17. Shoes Joseph had one pair of sandals, one pair of hiking shoes, 1 pair of botas, one pair of church shoes. How many pieces of shoes had together?
18. Fog The car started in fog at speed 30 km/h. After a 12-minute drive, the fog dissipated and the driver drove next 12 minutes distance 17 km. On the last 17 km long again the driving conditions deteriorated and the driver drove the speed of 51 km/h. a) Calcu
19. Efficiency A certain device consumes 28 kW and delivers 14 kW. Find its efficiency.
20. Three elephants Three elephants eat three piles of hay in 150 minutes. For how long does 96 elephants eat  96 stacks of hay?

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