# Examples for 7th grade (seventh) - page 7

1. Plums
In the bowl are plums. How many would be there if we can divide it equally among 8, 10 and 11 children?
2. Bicycle wheel
A bicycle wheel has a diameter of 60 cm. Approximately how many times does wheel rotate at 2.5 km long trip?
3. Rhombus 2
Calculate the area of rhombus which has a height v=48 mm and shorter diagonal u = 60 mm long.
4. Cube
The cube weighs 11 kg. How weight is cube of the same material, if its dimensions are 3-times smaller?
5. Metallurgical enterprise
Metallurgical company daily produces 318 tons of cast iron. How many tons of coke it burns to melt cast iron when 10 tons of cast consumes 6 tons of coke?
6. Circle
How big is area of circle if its circumference is 80.6 cm?
7. Number ratio
Calculate two positive numbers that its ratio is 6:6 and difference was 0.
8. Plumber
Plumber had to cut the metal strip with dimensions 380 cm and 60 cm to the largest squares so that no waste. Calculate the length of the sides of a square. How many squares cut it?
9. Ratio
6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers?
10. Speed of Slovakian trains
Rudolf decided to take the train from the station 'Trnava' to 'Zemianske Kostoľany'. In the train timetables found train R 725 Remata : km0Bratislava hl.st.12:574Bratislava-Vinohrady13:0113:0219Pezinok13:1213:1346Trnava13:3013:3263Leopoldov13:4514:0168H
11. Right isosceles
Calculate area of the isosceles right triangle which perimeter is 41 cm.
12. Chocolate
How many times should be broken chocolate consisting of 10 × 12 pieces to get the 120 parts?
13. Parquet floor
Three workers laid parquet floor for 2.301 hour. The first one would do this work alone 7 hours, the second in 6 hours. For how many hours would fulfill this work the third worker, if he worked alone?
14. Pool
Mr. Peter build a pool shape of a four-sided prism with rhombus base in the garden. Base edge length is 8 m, distance of the opposite walls of the pool is 7 m. Estimated depth is 144 cm. How many hectoliters of water consume Mr. Peter to fill the pool?
15. Air
Room is 40.1 m long, 25.2 dm wide and 369 cm high. How many people can simultaneously be in this room if for hygiene reasons is calculated 5100 dm3 of air per person?
16. Cu wire
Copper wire has a length l = 980 m and diameter d = 8 mm. Calculate the weight if density of copper is ρ = 8500 kg/m3. Result round to one decimal place.