# Problems for 6th grade (the sixth graders) - page 12

1. Painter 3 Dad want to paint wall high 250 cm wide and 230 cm with wallpaper. How many meters must buy wallpaper if wallpaper width is 60 cm?
2. Flowerbed 2 Around the square flower bed in a park is sidewalk 2 m wide. The area of ​​this sidewalk is 243 m2. What is the area of the flowerbed?
3. Map 2 At what scale is made map if the distance 8.2 km corresponds on the map segment 5 cm long?
4. Building base Excavation for the building base is 350x600x26000. Calculate its volume in m3.
5. Beer Which beer is better to drink: small beer (0.3 L) for 0.67 € or large (0.5 L) for 1.81 €?
6. Soil pit Workers dug a pit cube with edge 2.5 meters. How many cars shall remove soil if the car suddenly take 4m³ of soil?
7. Rectangle Calculate perimeter of the rectangle with sides a=2.4 m and b=1.9 m.
8. Cubes Carol with cut bar 12 cm x 12 cm x 135 cm to the cubes. Find the sum of all the surfaces of the resulting cubes.
9. Square tiles The room has dimensions 12 meters and 5.6 meters. Determine the number of square tiles and their largest dimension to exactly cover the floor.
10. Seven-segmet Lenka is amused that he punched a calculator (seven-segment display) numbers and used only digits 2 to 9. Some numbers have the property that their image in the axial or central symmetry was again give some number. Determine the maximum number of three-d
11. Remainders It is given a set of numbers { 170; 244; 299; 333; 351; 391; 423; 644 }. Divide this numbers by number 66 and determine set of remainders. As result write sum of this remainders.
12. Trapezium zoom How many times increase area of trapezoid if all sides and altitude increase 5 times?
13. Scientists from the Social Insurance Aaron became sick leave and social insurance granted him sick leave of 13.8211695 EUR per day. Calculate the number of days to save Aaron to roll in the price of 0.1 Eur, if every day they postpone the amount of the last decimal place of his sickness. [
14. Volatile percents Kent is working as a forex trader. Suffered a loss of 65.8 percent. Calculate what percentage must now earn to lift from loss?
15. The tank The tank has 1320 liters of water. The tank has the shape of a prism, its base is an rectangle with sides a = 0,6 m and b = 1,5 m. How high does the water level reach in the tank?
16. Jan Jan is 13 years and Peter 21 years old. For how many years will their ages in the ratio of 7:9?
17. Angles 1 It is true neighboring angles have not common arm?
18. Juice box The juice box has a volume of 200ml with its base is an isosceles triangle with sides a = 4,5cm and a height of 3,4cm. How tall is the box?
19. Work Workers works 5 days a week and has 21 days of vacation a year. Calculate how many days is out of work and express it as a percentage. Consider that a year has 52 weeks.
20. Tourist Tourist walk at 4.1 km/h. Every 5 km have 20-minute break. How many kilometers passed, when started at 4:40 and finished at 10:30?

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