# Problems for 6th grade (the sixth graders) - page 8

1. Denominator Calculate the missing denominator x: ?
2. Pedestrian and cyclist Pedestrian out with a speed of 4 km/hour from city center and after 1hour and 10 minutes came after him cyclist at speed of 18 km/h. At how many minutes he catches up with pedestrian?
3. Tiles Hall has dimensions 325 &time; 170 dm. What is the largest size of square tiles that can be entire hall tiled and how many we need them?
4. Exhibition The teacher paid for 280 Kč for 4.A students for admission to the exhibition. How many students were on the exhibition?
5. Hiker Hiker went half of trip the first day, the third of trip the second day and remaines 15 km. How long trip he planned?
6. Garden How many steps of 76 cm circumvent square garden with area 1.8 ha?
7. Bus driver The bus driver rides 174 km in the morning, afternoon rides 26 km more. How many kilometers traveled in 5 days if he rides on the same line?
8. Do you solve this? Determine area S of rectangle and length of its sides if its perimeter is 102 cm.
9. Opposite numbers Calculate opposite numbers (additive inverse) to given ones:
10. 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.
11. Rectangle A2dim Calculate the side of the rectangle, if you know that its area is of 2590 m2 and one side is 74 m.
12. 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?
13. Thrift woman Calculate how long grandmother will save to new shoes priced 108 euros if save 3 Eur monthly.
14. School books At the beginning of the school year, the teacher gave out 480 books and 220 textbooks. How many students were in the class?
15. Pairs From the five girls and four boys teachers have to choose one pair of boy and girl. A) How many such pairs of (M + F)? B) How many pairs where only boys (M + M)? C) How many are all possible pairs? Students of canoeists trip traveled in three days 102 km. Second day traveled 15% more than first day and at the third day 9 km over the second day. How many kilometers traveled each day?
17. 3-bracket May be the largest angle in the triangle less than 20°?
18. Count of roots How many solutions has equation x. y = 7757 with two unknowns on the set of natural numbers?
19. Company After increasing the number of employees by 15% company has 253 employees. How many employees take?
20. Intersections How many intersections have circles with radius 16 mm and 15 mm, if the distance of their centers is 16 mm.

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