POSS Domain 3: Mathematical Usage Welcome to your POSS Domain 3: Mathematical Usage 1. POSS: Mathematical Usage If a cylindrical tank holds 600 liters of water and is filled at a rate of 20 liters per minute, how many minutes does it take to fill a quarter of the tank? 5 7.5 15 30 None 2. POSS: Mathematical Usage A pipe discharges water into a tank at 150 liters per minute. Another pipe can drain the tank at a rate of 100 liters per minute. If the tank is initially empty and both pipes are opened, how many liters will be in the tank after one hour? 3,000 2,000 3,600 1,800 None 3. POSS: Mathematical Usage A power plant uses 320 tons of coal per day. If each train car carries 40 tons, how many train cars are needed per week (7 days)? 56 48 64 72 None 4. POSS: Mathematical Usage What is the percentage increase if the output of a turbine goes from 150 MW to 180 MW? 16.67% 20% 25% 30% None 5. POSS: Mathematical Usage If 3 operators can monitor 9 machines, how many operators are needed to monitor 45 machines? 9 15 5 18 None 6. POSS: Mathematical Usage A flow meter measures 300 liters per minute. How many cubic meters of water pass through the meter in 2 hours? 36 30 24 12 None 7. POSS: Mathematical Usage A chemical mixture requires a ratio of 5:3 of chemicals A to B. If 40 kg of chemical B is used, how much of chemical A is needed? 66.67 kg 75 kg 50 kg 60 kg None 8. POSS: Mathematical Usage A water tank has an inflow rate of 100 liters per minute and an outflow rate of 75 liters per minute. How much water is added to the tank in 4 hours? 6,000 liters 5,000 liters 4,000 liters 3,000 liters None 9. POSS: Mathematical Usage What is the ratio of the circumference to the diameter of any circle? 3.14159 3 2 4 None 10. POSS: Mathematical Usage A vehicle travels 120 kilometers in 1.5 hours. What is the average speed in kilometers per hour? 90 80 70 60 None 11. POSS: Mathematical Usage A pump can fill a tank in 6 hours and another pump can fill the same tank in 4 hours. If both pumps operate simultaneously, how long will it take to fill the tank? 2.4 hours 3 hours 1.5 hours 2.5 hours None 12. POSS: Mathematical Usage If the mass of a cube is directly proportional to the cube of its side length, by what factor does the mass increase if the side length doubles? 2 4 6 8 None 13. POSS: Mathematical Usage A tank's water level rises by 0.5 meters every hour. If it starts at 1 meter deep, what is the depth after 7 hours? 4.5 meters 5 meters 4 meters 3.5 meters None 14. POSS: Mathematical Usage A motor runs at 360 revolutions per minute (RPM). How many revolutions does it make in 10 seconds? 600 60 360 30 None 15. POSS: Mathematical Usage If a machine uses 15 kW of power and operates for 10 hours a day, how much energy does it consume in a day? 150 kWh 1500 kWh 1.5 kWh 15 kWh None 16. POSS: Mathematical Usage A chemical solution requires a mixture in the ratio 7:3 of water to chemical. If 210 liters of chemical are used, how many liters of water are required? 490 liters 630 liters 300 liters 700 liters None 17. POSS: Mathematical Usage A pump increases the pressure of water from 10 psi to 50 psi. By what percentage did the pressure increase? 400% 50% 500% 40% None 18. POSS: Mathematical Usage A train travels 360 kilometers in 3 hours. What is its speed in meters per second? 33.33 m/s 100 m/s 300 m/s 40 m/s None 19. POSS: Mathematical Usage If a valve releases 10 cubic meters of water into a tank every 15 minutes, how much water does it release in 5 hours? 200 cubic meters 150 cubic meters 250 cubic meters 100 cubic meters None 20. POSS: Mathematical Usage A conveyor belt moves 300 tons of coal per hour. If the plant operates the conveyor belt for 8 hours a day, how much coal is moved in one day? 2,400 tons 1,200 tons 3,600 tons 2,500 tons None 1 out of 20 Time is Up! Time's up
