TopicalPhysics (9-1) 0972Motion, forces and energyDensityPaper 2

Density — Paper 2 · IGCSE Physics (9-1) 0972

1.4· 34 questions · 34 marks · 41 min · 2018–2025· Multiple choice

Every Cambridge IGCSE Physics (9-1) Paper 2 question on density, laid out as 11 A4 pages with the mark scheme below. Nothing is left out. Free to read, no account.

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Questions11 pages

Question 1: Four identical beakers are filled with equal volumes of liquids P or Q, as shown. Liquid P is more dense than liquid Q. At which point is t…Question 2: An oil tank has a base of area 2.5 m2 and is filled with oil to a depth of 1.2 m. The density of the oil is 800 kg / m3. What is the force …Question 3: A liquid has a volume of 0.040 m3 and a mass of 30 000 g. What is the density of the liquid? A 0.075 kg / m3 B 7.5 kg / m3 C 750 kg / m3 D …Question 4: A manometer is used to measure the pressure of a gas supply. manometer connection to gas supply h liquid Which change gives a greater value…1 / 11
Question 5: A washbasin has an exit pipe covered with a plug of area 12 cm2. A chain is attached to the centre of the plug to assist in pulling the plu…Question 6: The diagrams show four solid blocks with their dimensions and masses. Which block has the greatest density? A area = 10 cm2 B area = 20 cm2…Question 7: The metal surface of a kettle is hot. What happens to the cool air outside the kettle when it comes into contact with the hot kettle? A The…Question 8: A metal has a density of 8.0 g / cm3. A solid cube of mass 1.0 kg is made from this metal. How long is each side of the cube? A 0.50 cm B 2…2 / 11
Question 9: The metal surface of a kettle is hot. What happens to the cool air outside the kettle when it comes into contact with the hot kettle? A The…Question 10: The density of air is 1.2 kg / m3. A room has dimensions 5.0 m × 4.0 m × 3.0 m. What is the mass of the air in the room? A 0.02 kg B 0.10 k…Question 11: An object is 20 cm below the surface of a liquid. The density of the liquid is 1200 kg / m3. What is the pressure on the object due to the …Question 12: The mass of a measuring cylinder is 190 g. 400 cm3 of liquid is put into the measuring cylinder. The total mass of the measuring cylinder a…Question 13: A solid is heated causing it to expand. What effect does this have on its mass and on its density? mass density A decreases decreases B dec…3 / 11
Question 14: Water has a density of 1000 kg / m3. A rectangular swimming pool has an average depth of 1.6 m. The length of the pool is 25 m. The width o…Question 15: An object is 60 cm below the surface of a liquid. The pressure due to the liquid at this depth is 9000 Pa. What is the density of the liqui…Question 16: A room is heated by a radiator. The diagrams X and Y show two possible circulations of hot air, which heat the room. diagram X ceiling diag…4 / 11
Question 17: A metal ball is attached to a cork and is lowered into a measuring cylinder, pulling the cork into the water, as shown. cork 80 cm3 ball 56…Question 18: Which substance in the table has the lowest density? substance mass / g volume / cm3 A nylon 1.2 1.0 B cotton 1.5 1.0 C olive oil 1.8 2.0 D…5 / 11
Question 19: A measuring cylinder contains 30 cm3 of a liquid. cm3 50 40 30 20 10 balance Some more of the liquid is added until the liquid level reache…Question 20: The diagram shows a convection current caused by a piece of ice placed in a beaker of water at room temperature. ice Q P Which row correctl…6 / 11
Question 21: A measuring cylinder contains 30 cm3 of a liquid. cm3 50 40 30 20 10 balance Some more of the liquid is added until the liquid level reache…Question 22: The diagram shows the dimensions of a solid rectangular block of metal of mass m. q p r Which expression is used to calculate the density o…7 / 11
Question 23: A student determines the density of an irregularly shaped stone. The stone is slowly lowered into a measuring cylinder partly filled with w…Question 24: A dam holds water in a reservoir. The height of the water in the reservoir is 15 m. dam water in 15 m reservoir The density of water is 100…Question 25: Which two quantities must be known to determine the density of a material? A mass and area B mass and volume C weight and area D weight and…8 / 11
Question 26: The table shows the mass and volume of three different liquids, X, Y and Z. liquid mass / g volume / cm3 X 120 200 Y 80 67 Z 100 120 The li…Question 27: A chef heats some water in a pan on a hotplate. The temperature of the water rises by 10 C in time t. She then puts the same volume of oil…Question 28: The diagram shows the view of a room heated by a radiator. The arrowed line from X to Y is the path of the convection current in the air. c…9 / 11
Question 29: The mass of an object is 2.5 kg. The volume of the object is 480 cm3. What is the density of the object? A 5.2  10–3 g / cm3 B 5.2 g / cm3…Question 30: A sealed container of volume 2000 cm3 contains air at high pressure. The container is placed on a top-pan balance. The balance reads 200.00…Question 31: The diagrams show two metal blocks, X and Y, suspended from identical force meters. X and Y have identical dimensions. N N 0 0 1 1 2 2 3 3 …10 / 11
Question 32: Agirl has a gold necklace.

Which apparatus does she need to find the density of the gold?

balance "tinder: thermometer ruler
A Jv v v v k…Question 33: The diagram shows one liquid floating on top of another liquid. liquid P liquid Q Which statement explains why liquid P floats on top of li…Question 34: Which statement about convection is not correct? A It enables water in a pan on a cooker to get evenly heated. B It happens in liquids and …11 / 11

Mark scheme34 answers

Answers below. Sit the paper first if you are practising.

Pastlit

Physics (9-1) 0972 · Density — Paper 2

IGCSE · topical answer key — answer key (teacher use)

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Questions as text

Q1 · Four identical beakers are filled with equal volumes of liquids P or Q, as shown 0972/21 May/June 2018

13 Four identical beakers are filled with equal volumes of liquids P or Q, as shown. Liquid P is more dense than liquid Q. At which point is the pressure the least? liquid P B liquid Q D A C

1 marks

Answer: D

This question in 0972/21 May/June 2018

Q2 · An oil tank has a base of area 2.5 m2 and is filled with oil to a depth of 1.2 m 0972/21 May/June 2018

14 An oil tank has a base of area 2.5 m2 and is filled with oil to a depth of 1.2 m. The density of the oil is 800 kg / m3. What is the force exerted on the base of the tank due to the oil? A 960 N B 2400 N C 9600 N D 24 000 N

1 marks

Answer: D

This question in 0972/21 May/June 2018

Q3 · A liquid has a volume of 0.040 m3 and a mass of 30 000 g 0972/21 Oct/Nov 2018

5 A liquid has a volume of 0.040 m3 and a mass of 30 000 g. What is the density of the liquid? A 0.075 kg / m3 B 7.5 kg / m3 C 750 kg / m3 D 7500 kg / m3

1 marks

Answer: C

This question in 0972/21 Oct/Nov 2018

Q4 · A manometer is used to measure the pressure of a gas supply 0972/21 Oct/Nov 2018

12 A manometer is used to measure the pressure of a gas supply. manometer connection to gas supply h liquid Which change gives a greater value of height h ? A using a less dense liquid B using a more dense liquid C using a narrower tube D using a wider tube

1 marks

Answer: A

This question in 0972/21 Oct/Nov 2018

Q5 · A washbasin has an exit pipe covered with a plug of area 12 cm2 0972/21 Oct/Nov 2018

13 A washbasin has an exit pipe covered with a plug of area 12 cm2. A chain is attached to the centre of the plug to assist in pulling the plug away from the exit hole. The washbasin contains water to a depth of 0.080 m. The density of the water is 1000 kg / m3. chain plug What is the force acting on the plug due to the water? A 0.96 N B 800 N C 9600 N D 80 000 N

1 marks

Answer: A

This question in 0972/21 Oct/Nov 2018

Q6 · The diagrams show four solid blocks with their dimensions and masses 0972/21 May/June 2019

5 The diagrams show four solid blocks with their dimensions and masses. Which block has the greatest density? A area = 10 cm2 B area = 20 cm2 2.0 cm 2.0 cm mass = 14 g mass = 48 g C area = 10 cm2 D area = 20 cm2 2.0 cm 2.0 cm mass = 54 g mass = 68 g

1 marks

Answer: C

This question in 0972/21 May/June 2019

Q7 · The metal surface of a kettle is hot 0972/21 May/June 2019

18 The metal surface of a kettle is hot. What happens to the cool air outside the kettle when it comes into contact with the hot kettle? A The density of the air decreases and the air falls. B The density of the air decreases and the air rises. C The density of the air increases and the air falls. D The density of the air increases and the air rises.

1 marks

Answer: B

This question in 0972/21 May/June 2019

Q8 · A metal has a density of 8.0 g / cm3 0972/22 May/June 2019

5 A metal has a density of 8.0 g / cm3. A solid cube of mass 1.0 kg is made from this metal. How long is each side of the cube? A 0.50 cm B 2.0 cm C 5.0 cm D 42 cm

1 marks

Answer: C

This question in 0972/22 May/June 2019

Q9 · The metal surface of a kettle is hot 0972/22 May/June 2019

18 The metal surface of a kettle is hot. What happens to the cool air outside the kettle when it comes into contact with the hot kettle? A The density of the air decreases and the air falls. B The density of the air decreases and the air rises. C The density of the air increases and the air falls. D The density of the air increases and the air rises.

1 marks

Answer: B

This question in 0972/22 May/June 2019

Q10 · The density of air is 1.2 kg / m3 0972/21 Oct/Nov 2019

5 The density of air is 1.2 kg / m3. A room has dimensions 5.0 m × 4.0 m × 3.0 m. What is the mass of the air in the room? A 0.02 kg B 0.10 kg C 50 kg D 72 kg

1 marks

Answer: D

This question in 0972/21 Oct/Nov 2019

Q11 · An object is 20 cm below the surface of a liquid 0972/21 Oct/Nov 2019

14 An object is 20 cm below the surface of a liquid. The density of the liquid is 1200 kg / m3. What is the pressure on the object due to the liquid? A 600 Pa B 2400 Pa C 60 000 Pa D 240 000 Pa

1 marks

Answer: B

This question in 0972/21 Oct/Nov 2019

Q12 · The mass of a measuring cylinder is 190 g 0972/21 May/June 2020

6 The mass of a measuring cylinder is 190 g. 400 cm3 of liquid is put into the measuring cylinder. The total mass of the measuring cylinder and the liquid is 560 g. Four solid objects are lowered in turn into the liquid. The densities of the objects are shown. 1 0.40 g / cm3 2 0.90 g / cm3 3 1.2 g / cm3 4 2.7 g / cm3 Which objects will float in the liquid? A 1 only B 1 and 2 only C 1, 2 and 3 D 3 and 4 only

1 marks

Answer: B

This question in 0972/21 May/June 2020

Q13 · A solid is heated causing it to expand 0972/21 May/June 2020

16 A solid is heated causing it to expand. What effect does this have on its mass and on its density? mass density A decreases decreases B decreases stays constant C stays constant decreases D stays constant stays constant

1 marks

Answer: C

This question in 0972/21 May/June 2020

Q14 · Water has a density of 1000 kg / m3 0972/22 May/June 2020

6 Water has a density of 1000 kg / m3. A rectangular swimming pool has an average depth of 1.6 m. The length of the pool is 25 m. The width of the pool is 10 m. What is the mass of the water in the swimming pool? A 2.5 kg B 400 kg C 400 000 kg D 800 000 kg

1 marks

Answer: C

This question in 0972/22 May/June 2020

Q15 · An object is 60 cm below the surface of a liquid 0972/22 May/June 2020

13 An object is 60 cm below the surface of a liquid. The pressure due to the liquid at this depth is 9000 Pa. What is the density of the liquid? A 15 kg / m3 B 540 kg / m3 C 1500 kg / m3 D 54 000 kg / m3

1 marks

Answer: C

This question in 0972/22 May/June 2020

Q16 · A room is heated by a radiator 0972/22 May/June 2020

18 A room is heated by a radiator. The diagrams X and Y show two possible circulations of hot air, which heat the room. diagram X ceiling diagram Y ceiling radiator radiator floor floor Which diagram and reason explain the heating of the room by convection? diagram reason A X air density decreases when air is heated B X air density increases when air is heated C Y air density decreases when air is heated D Y air density increases when air is heated

1 marks

Answer: A

This question in 0972/22 May/June 2020

Q17 · A metal ball is attached to a cork and is lowered into a measuring cylinder, pulling the… 0972/21 Oct/Nov 2020

6 A metal ball is attached to a cork and is lowered into a measuring cylinder, pulling the cork into the water, as shown. cork 80 cm3 ball 56 cm3 48 cm3 water ball and cork ball fully submerged both ball and cork above the water but cork above the water fully submerged The mass of the cork is 4.8 g. What is the density of the cork? A 0.15 g / cm3 B 0.20 g / cm3 C 0.60 g / cm3 D 5.0 g / cm3

1 marks

Answer: B

This question in 0972/21 Oct/Nov 2020

Q18 · Which substance in the table has the lowest density? 0972/21 Oct/Nov 2021

4 Which substance in the table has the lowest density? substance mass / g volume / cm3 A nylon 1.2 1.0 B cotton 1.5 1.0 C olive oil 1.8 2.0 D water 2.0 2.0

1 marks

Answer: C

This question in 0972/21 Oct/Nov 2021

Q19 · A measuring cylinder contains 30 cm3 of a liquid 0972/21 May/June 2022

5 A measuring cylinder contains 30 cm3 of a liquid. cm3 50 40 30 20 10 balance Some more of the liquid is added until the liquid level reaches the 50 cm3 mark. The reading on the balance increases by 30 g. What is the density of the liquid? A 0.60 g / cm3 B 0.67 g / cm3 C 1.5 g / cm3 D 1.7 g / cm3

1 marks

Answer: C

This question in 0972/21 May/June 2022

Q20 · The diagram shows a convection current caused by a piece of ice placed in a beaker of… 0972/21 May/June 2022

20 The diagram shows a convection current caused by a piece of ice placed in a beaker of water at room temperature. ice Q P Which row correctly compares the temperatures and densities at water points P and Q? temperature at P density at P A higher than at Q higher than at Q B higher than at Q lower than at Q C lower than at Q higher than at Q D lower than at Q lower than at Q

1 marks

Answer: C

This question in 0972/21 May/June 2022

Q21 · A measuring cylinder contains 30 cm3 of a liquid 0972/22 May/June 2022

5 A measuring cylinder contains 30 cm3 of a liquid. cm3 50 40 30 20 10 balance Some more of the liquid is added until the liquid level reaches the 50 cm3 mark. The reading on the balance increases by 30 g. What is the density of the liquid? A 0.60 g / cm3 B 0.67 g / cm3 C 1.5 g / cm3 D 1.7 g / cm3

1 marks

Answer: C

This question in 0972/22 May/June 2022

Q22 · The diagram shows the dimensions of a solid rectangular block of metal of mass m 0972/21 Oct/Nov 2022

4 The diagram shows the dimensions of a solid rectangular block of metal of mass m. q p r Which expression is used to calculate the density of the metal? m A ( p × q ) m B ( p × q × r ) C m × p × q D m × p × q × r

1 marks

Answer: B

This question in 0972/21 Oct/Nov 2022

Q23 · A student determines the density of an irregularly shaped stone 0972/21 May/June 2023

6 A student determines the density of an irregularly shaped stone. The stone is slowly lowered into a measuring cylinder partly filled with water. measuring cylinder stone Which other apparatus does the student need to calculate the density of the irregularly shaped stone? A a balance B a thermometer C a metre rule D a stop-watch

1 marks

Answer: A

This question in 0972/21 May/June 2023

Q24 · A dam holds water in a reservoir 0972/21 May/June 2023

13 A dam holds water in a reservoir. The height of the water in the reservoir is 15 m. dam water in 15 m reservoir The density of water is 1000 kg / m3. What is the pressure due to the water at the bottom of the dam? A 6.8 Pa B 1500 Pa C 15 000 Pa D 150 000 Pa

1 marks

Answer: D

This question in 0972/21 May/June 2023

Q25 · Which two quantities must be known to determine the density of a material? 0972/22 May/June 2023

6 Which two quantities must be known to determine the density of a material? A mass and area B mass and volume C weight and area D weight and volume

1 marks

Answer: B

This question in 0972/22 May/June 2023

Q26 · The table shows the mass and volume of three different liquids, X, Y and Z 0972/21 Oct/Nov 2023

4 The table shows the mass and volume of three different liquids, X, Y and Z. liquid mass / g volume / cm3 X 120 200 Y 80 67 Z 100 120 The liquids are placed in the same container. The liquids do not mix. Which liquid is at the top of the container and which liquid is at the bottom? liquid at liquid at top bottom A X Y B X Z C Y X D Y Z

1 marks

Answer: A

This question in 0972/21 Oct/Nov 2023

Q27 · A chef heats some water in a pan on a hotplate 0972/21 Oct/Nov 2023

15 A chef heats some water in a pan on a hotplate. The temperature of the water rises by 10 C in time t. She then puts the same volume of oil in an identical pan on the same hotplate. The specific heat capacity of water is 2.5 times that of oil and water is 1.1 times denser than oil. What is the time for the temperature of the oil to rise by 10 C? A 0.36t B 0.44t C 2.3t D 2.8t

1 marks

Answer: A

This question in 0972/21 Oct/Nov 2023

Q28 · The diagram shows the view of a room heated by a radiator 0972/21 Oct/Nov 2023

16 The diagram shows the view of a room heated by a radiator. The arrowed line from X to Y is the path of the convection current in the air. ceiling X Y radiator floor Which row about the air temperature and the air density at X and at Y is correct? air temperature air density A higher at X higher at X B higher at X higher at Y C higher at Y higher at Y D higher at Y higher at X

1 marks

Answer: B

This question in 0972/21 Oct/Nov 2023

Q29 · The mass of an object is 2.5 kg 0972/21 May/June 2024

4 The mass of an object is 2.5 kg. The volume of the object is 480 cm3. What is the density of the object? A 5.2  10–3 g / cm3 B 5.2 g / cm3 C 190 g / cm3 D 1.2  103 g / cm3

1 marks

Answer: B

This question in 0972/21 May/June 2024

Q30 · A sealed container of volume 2000 cm3 contains air at high pressure 0972/22 May/June 2024

4 A sealed container of volume 2000 cm3 contains air at high pressure. The container is placed on a top-pan balance. The balance reads 200.00 g. All the air is removed by a vacuum pump and the balance reading changes to 196.00 g. What was the density of the pressurised air? A 0.00200 g / cm3 B 0.098 g / cm3 C 4.00 g / cm3 D 10.2 g / cm3

1 marks

Answer: A

This question in 0972/22 May/June 2024

Q31 · The diagrams show two metal blocks, X and Y, suspended from identical force meters 0972/21 May/June 2025

3 The diagrams show two metal blocks, X and Y, suspended from identical force meters. X and Y have identical dimensions. N N 0 0 1 1 2 2 3 3 4 4 5 5 6 6 X Y Which statement about X and Y is correct? A They have different volumes and different weights. B They have different volumes and equal weights. C They have equal volumes and equal weights. D They have equal volumes and different weights.

1 marks

Answer: D

This question in 0972/21 May/June 2025

Q32 · Agirl has a gold necklace 0972/21 May/June 2025

4 Agirl has a gold necklace. Which apparatus does she need to find the density of the gold? balance "tinder: thermometer ruler A Jv v v v key B v v v x / = needed Cc v v x x X = not needed D J x x x

1 marks

Answer: C

This question in 0972/21 May/June 2025

Q33 · The diagram shows one liquid floating on top of another liquid 0972/21 Oct/Nov 2025

4 The diagram shows one liquid floating on top of another liquid. liquid P liquid Q Which statement explains why liquid P floats on top of liquid Q? A The mass of liquid Q is greater than the mass of liquid P. B The mass of 1 cm3 of liquid Q is greater than the mass of 1 cm3 of liquid P. C The volume of liquid Q is greater than the volume of liquid P. D The volume of 1 g of liquid Q is greater than the volume of 1 g of liquid P.

1 marks

Answer: B

This question in 0972/21 Oct/Nov 2025

Q34 · Which statement about convection is not correct? 0972/21 Oct/Nov 2025

14 Which statement about convection is not correct? A It enables water in a pan on a cooker to get evenly heated. B It happens in liquids and gases. C It occurs because cooler liquids rise above warmer liquids. D It occurs because the density of a liquid decreases when it is heated.

1 marks

Answer: C

This question in 0972/21 Oct/Nov 2025