Mastering Density & Pressure
Mathematics
Grade 7
12 questions
~24 mins
0 views0 downloads
About This Worksheet
A worksheet covering Density & Pressure concepts for Grade 7 students, focusing on ratios, proportions, and rates of change.
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Mastering Density & Pressure
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
If a box with a volume of 10 cubic meters contains 50 kg of material, what is the density of the material? (Density = Mass / Volume)
[2 marks]2.
A water tank has a pressure of 300 kPa at a depth of 10 meters. What is the pressure at a depth of 15 meters, assuming pressure increases by 10 kPa per meter?
[3 marks]3.
Calculate the ratio of mass to volume for a substance with a mass of 200 grams and volume of 50 cm³.
[2 marks]4.
A block of wood has a volume of 2 liters and a mass of 3 kg. What is its density?
[2 marks]5.
If the pressure exerted by a gas doubles when its volume halves, what is the rate of change of pressure with respect to volume?
[3 marks]6.
A swimmer pushes water with a force of 200 N over an area of 0.5 m². What is the pressure exerted on the water?
[2 marks]7.
A rectangular tank measures 4 meters by 3 meters and has a water depth of 2 meters. What is the water pressure at the bottom, assuming atmospheric pressure is negligible and pressure increases by 10 kPa per meter of water?
[3 marks]8.
A metal cylinder of volume 0.5 m³ has a mass of 250 kg. What is its density?
[2 marks]9.
In a fluid, if the pressure at point A is 150 kPa and at point B is 120 kPa, with both points at the same height, what is the difference in pressure?
[2 marks]10.
A submarine descends to a depth where the pressure is 2000 kPa. If the pressure increases by 10 kPa per meter of depth, how deep is the submarine?
[3 marks]11.
Challenge: A container of water has a mass of 10 kg and a volume of 0.01 m³. What is the density, and how does it compare to the density of pure water (1,000 kg/m³)?
[4 marks]12.
Real-world Application: A tank is filled with oil that has a density of 850 kg/m³. If the pressure at the bottom of the tank is 50 kPa, what is the height of the oil column? (Use g = 9.8 m/s² and pressure due to height = density × g × height).
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet