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Density and the Particle Model Practice Problems with Solutions - IGCSE Year 7

IGCSE Year 7 | Physics | Density and the Particle Model
Name: _________________________ Date: _________________________ Score: _______ / 40

Density is mass per unit volume, measured in kg/m³, and water lands on 1000 kg/m³, so this Year 7 sheet ties mass and volume through a single ratio. The key also answers that particles in a solid vibrate about fixed positions.

Key Takeaways

Section A: Multiple Choice Questions (1 Mark Each)

Choose the correct option for each question.
1. Density is defined as
(a) mass per unit volume(b) volume per unit mass(c) mass × volume(d) weight per unit area
2. The unit of density is
(a) kg/m³(b) kg(c) m³(d) N/m³
3. The density of water is approximately
(a) 1000 kg/m³(b) 1 kg/m³(c) 100 kg/m³(d) 10,000 kg/m³
4. Which state of matter usually has the highest density?
(a) solid(b) liquid(c) gas(d) all states are equal
5. In a gas, the particles
(a) are spread far apart and move freely(b) vibrate in fixed positions(c) are tightly packed in rows(d) have no energy at all
6. In a solid, the particles
(a) vibrate about fixed positions(b) move around freely(c) are far apart(d) escape into the air

Section B: Short Answer Type Questions (2 Marks Each)

Show all steps clearly.
7. Define density and give its unit.
8. Write the formula linking density, mass and volume.
9. What happens to the particles when a solid melts?
10. Why can a gas be compressed easily?
11. What is the density of water?
12. Describe the arrangement of particles in a liquid.
13. How does the density of most substances change when they are heated?
14. Give two properties of solids that come from their particle arrangement.

Section C: Numericals & Word Problems (3 Marks Each)

Apply the concepts to solve the problems. Show all working.
15. A block has a mass of 200 g and a volume of 100 cm³. Using density = mass ÷ volume, find its density in g/cm³.
16. A cube of side 2 cm has a mass of 40 g. Using volume = side³ and density = mass ÷ volume, find its density.
17. A liquid of density 1.2 g/cm³ fills a container of volume 50 cm³. Using mass = density × volume, find the mass of the liquid.
18. An object of mass 3 kg has a density of 1500 kg/m³. Using volume = mass ÷ density, find its volume.
19. A stone of mass 250 g is dropped into a measuring cylinder and displaces 100 cm³ of water. Using density = mass ÷ volume, find its density.
20. A rectangular block measures 2 cm × 3 cm × 4 cm and has a mass of 96 g. Find its volume and then its density.

Answer Key

1. a) mass per unit volume
2. a) kg/m³
3. a) 1000 kg/m³
4. a) solid
5. a) are spread far apart and move freely
6. a) vibrate about fixed positions
7. Refer to solution guide.
8. Refer to solution guide.
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10. Refer to solution guide.
11. Refer to solution guide.
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20. Refer to solution guide.
End of Worksheet

People Also Ask

What is density?

Mass per unit volume, option (a) in this worksheet (Q1).

What is the unit of density?

kg/m³, option (a) in this worksheet (Q2).

How do particles in a solid behave?

They vibrate about fixed positions, from the answer key on this page.

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