Physics 0625 · IGCSE
Density
100 practice questions on Density, with worked solutions and instant marking.
The diagram represents a cuboid block constructed from a metal with density $2.5\,\text{g cm}^{-3}$. What is the mass of the block?
Feb/March 2016
The diagram represents a cuboid block formed from a metal with density $2.5\,\text{g cm}^{-3}$. Its dimensions are $10\,\text{cm} \times 2.0\,\text{cm} \times 2.0\,\text{cm}$. What mass does the block have?
Feb/March 2016
A student is carrying out an investigation into volume and density. The student has a box, as shown in Fig. 1.1, together with a balance, a rule and some dry sand.
Feb/March 2016
The metal block shown has a mass of $240\text{ g}$. Calculate the density of the metal.
Feb/March 2017
A student is trying to determine the density of a small stone. Fig. 2.1 shows a measuring cylinder containing water, resting on a balance. The stone is then placed in the water, as shown in Fig. 2.2.
Feb/March 2017
Fig. 4.1 illustrates a Galilean thermometer. This thermometer is used to measure the approximate temperature of the air around it.
Feb/March 2017
A measuring cylinder holds $30\,\text{cm}^3$ of a liquid. Additional liquid is poured in until the surface reaches the $50\,\text{cm}^3$ mark. The balance reading rises by $30\,\text{g}$. What is the density of the liquid?
Feb/March 2018
A measuring cylinder holds $30\,\text{cm}^3$ of a liquid. More of the liquid is poured in until the liquid surface is at the $50\,\text{cm}^3$ mark. The balance reading rises by $30\,\text{g}$. Find the density of the liquid.
Feb/March 2018
A student has a stack of A4 paper for his computer printer. Fig. 1.1 gives the dimensions of the paper stack. Fig. 1.1 (not to scale) shows a rectangular pile with length 30.0 cm, width 20.0 cm and height 5.0 cm.
Feb/March 2018
A solid ball has a volume of $4.0\,\text{cm}^3$. Its density is $1.6\,\text{g cm}^{-3}$. Calculate the mass of the ball.
Feb/March 2019
A spherical ball has a volume of $4.0\,\text{cm}^3$. Its density is $1.6\,\text{g cm}^{-3}$. What is the mass of the ball?
Feb/March 2019
A measuring cylinder has $40\,\text{cm}^3$ of water in it. A solid metal ball is placed into the water, and the water level increases to $56\,\text{cm}^3$. The ball has a mass of $80\,\text{g}$. What is the density of the metal from which the ball is made?
Feb/March 2020
A measuring cylinder is holding $40\,\text{cm}^3$ of water. A solid metal ball is placed into the water, and the volume reading increases to $56\,\text{cm}^3$. The ball has a mass of $80\,\text{g}$. What is the density of the metal that the ball is made from?
Feb/March 2020
When the bottle is empty, its mass is $20\,\text{g}$. The volume of the bottle is $10\,\text{cm}^3$. If it is filled with liquid, the combined mass becomes $150\,\text{g}$. Calculate the density of the liquid.
Feb/March 2021
An empty small bottle has a mass of $20\,\text{g}$. The bottle’s volume is $10\,\text{cm}^3$. If the bottle is filled with liquid, its total mass becomes $150\,\text{g}$. What is the density of the liquid?
Feb/March 2021
Fig. 2.1 shows a measuring cylinder partly filled with water. Fig. 2.2 shows that same measuring cylinder after a stone has been lowered into it. In Fig. 2.2, the object is labelled stone. On both cylinders, the scale is marked in cm$^3$.
Feb/March 2021
A swimming pool with a rectangular shape measures $50\,\text{m}$ in length and $25\,\text{m}$ in width. The water in it is $2\,\text{m}$ deep. The density of the water is $1000\,\text{kg m}^{-3}$. What is the mass of the water in the pool?
Feb/March 2023
A swimming pool with a rectangular shape measures $50\,\text{m}$ in length and $25\,\text{m}$ in width. Water fills it to a depth of $2\,\text{m}$. The water has a density of $1000\,\text{kg m}^{-3}$. Calculate the mass of water in the pool.
Feb/March 2023
Fig. 1.1 depicts two strips of staples.
Feb/March 2023
The table shows information about four liquids, W, X, Y and Z. None of the liquids is miscible with any of the others. All four liquids are placed in the same container and then arrange themselves into four distinct layers. Which statement is correct?
Feb/March 2024
Calculate the volume of the piece of metal.
Feb/March 2024
Describe the method the student uses to determine the density of the liquid with the equipment.
Feb/March 2025
A student wants to find the density of an irregularly-shaped stone. He first measures the mass of the stone. He then places the stone into a measuring cylinder that contains water. The diagrams illustrate the measuring cylinder before and after the stone is put into it. How should the student work out the density of the stone?
May/June 2016
The diagrams display the dimensions and masses of four regular solid shapes. Each shape is made from a different metal. Which metal has the greatest density?
May/June 2016
Diagram 1 illustrates a measuring cylinder with water inside. Diagram 2 shows that same measuring cylinder and water after $10$ identical solid glass spheres have been placed in it. Each sphere has a mass of $10\,\text{g}$. What is the density of the glass used to make the spheres?
May/June 2016
The diagram shows the measuring cylinder’s mass readings before and after a quantity of liquid is poured into it. What is the density of the liquid?
May/June 2017
A steel ball bearing has a mass of $24\,\text{g}$ and a density of $8.0\,\text{g cm}^{-3}$. It is placed into a measuring cylinder that already contains $12\,\text{cm}^3$ of water. What will the new water level be in the cylinder?
May/June 2017
A measuring cylinder that contains water only is put on an electronic balance. A small stone with an irregular shape is then fully immersed in the water. The diagrams display the apparatus before the stone is immersed and after it has been immersed. What is the density of the stone’s material?
May/June 2017
The diagram shows the masses of a measuring cylinder before and after some liquid has been poured into it. What is the density of the liquid?
May/June 2017
A steel ball bearing has a mass of $24\,\text{g}$ and a density of $8.0\,\text{g cm}^{-3}$. It is placed into a measuring cylinder that already contains $12\,\text{cm}^3$ of water. What will the new water level be in the cylinder?
May/June 2017
To paint the walls of a room, a tin of paint has a total mass of 7000 g and a volume of 5000 cm$^3$. The empty tin has a mass of 500 g.
May/June 2017
A piece of wood has a volume of $210\,\text{cm}^3$ and a mass of $180\,\text{g}$.
May/June 2017
Three liquids P, Q and R have different densities and are immiscible. The liquids are poured into a measuring cylinder and left to settle. A small block is then dropped into the measuring cylinder and ends up at rest, as shown. Which statement about the block’s density is correct?
May/June 2018
The diagram illustrates a quantity of liquid in a measuring cylinder. The liquid has a mass of $16\,\text{g}$. What is the liquid's density?
May/June 2018
Two objects P and Q are put into a beaker of liquid. Object P stays afloat in the liquid, while object Q goes to the bottom. Which row could show the densities of object P, object Q and the liquid?
May/June 2018
The diagram depicts a quantity of liquid in a measuring cylinder. The liquid has a mass of $16\ \text{g}$. What is the liquid's density?
May/June 2018
The diagram depicts liquid in a measuring cylinder. The liquid has a mass of $16\text{ g}$. What is the liquid’s density?
May/June 2018
Fig. 2.1 depicts a 250 cm^3 beaker holding some liquid; the beaker is tagged "beaker" and the contents are labelled "unknown volume of liquid".
May/June 2018
Fig. 2.1 displays a wooden raft. This raft is built from 8 logs. Every log is made from the same kind of wood.
May/June 2018
The diagrams illustrate four solid blocks, together with their dimensions and masses. Which block has the highest density?
May/June 2019
The density of a metal is $8.0\,\text{g cm}^{-3}$. A solid cube with a mass of $1.0\,\text{kg}$ is made from this metal. What is the length of each side of the cube?
May/June 2019
X, Y and Z are three solid objects with regular shapes. Their dimensions and masses are shown in the diagrams. Which objects have equal density?
May/June 2019
The diagrams illustrate four solid blocks, along with their dimensions and masses. Which block has the highest density?
May/June 2019
A metal has a density of $8.0\,\text{g cm}^{-3}$. A solid cube with a mass of $1.0\,\text{kg}$ is made from this metal. What is the length of one side of the cube?
May/June 2019
X, Y and Z are three solid objects with regular shapes. The diagrams give their dimensions and masses. Which objects have equal density?
May/June 2019
The student determines the mass of the object. State the name of the apparatus used to measure mass.
May/June 2019
There is some oil in a bottle.
May/June 2019
Fig. 1.1 presents three metal blocks. All three blocks have equal mass. Their volumes are not the same. Each block is constructed from a different metal. The table lists the density of each metal.
May/June 2019
The diagram depicts a stone with an irregular shape. Which property of the stone can be determined by lowering it into a measuring cylinder that is half-filled with water?
May/June 2021
An empty flask has a mass of $34\,\text{g}$. A volume of $20\,\text{cm}^3$ of liquid is poured into the flask. The combined mass of the flask and the liquid is $50\,\text{g}$. Calculate the density of the liquid.
May/June 2021
A measuring cylinder holds $40\,\text{cm}^3$ of water. A stone with mass $94\,\text{g}$ is lowered into the water until it is completely submerged, as shown. Calculate the density of the stone.
May/June 2021
The tank illustrated has dimensions $5.0\,\text{m} \times 4.0\,\text{m} \times 4.0\,\text{m}$. It is filled completely with water of density $1000\,\text{kg m}^{-3}$. What is the mass of the water in the tank?
May/June 2021
An empty flask has a mass of $34\,\text{g}$. A volume of $20\,\text{cm}^3$ of liquid is poured into the flask. Together, the flask and liquid have a total mass of $50\,\text{g}$. What is the density of the liquid?
May/June 2021
A measuring cylinder holds $40\,\text{cm}^3$ of water. A stone with mass $94\,\text{g}$ is lowered into the water until it is completely submerged, as shown. What is the density of the stone?
May/June 2021
The tank in the diagram measures $5.0\,\text{m} \times 4.0\,\text{m} \times 4.0\,\text{m}$. It is full of water with density $1000\,\text{kg m}^{-3}$. What is the mass of the water in the tank?
May/June 2021
A liquid-in-glass thermometer is filled with mercury.
May/June 2021
A scientist is given a measuring cylinder, a beaker of sea water and an electronic balance. Describe an experiment to find the density of the sea water. Include any equations in your answer.
May/June 2021
A measuring cylinder initially holds $30\,\text{cm}^3$ of a liquid. Further liquid is then added until the level comes to the $50\,\text{cm}^3$ mark. The reading on the balance goes up by $30\,\text{g}$. Determine the density of the liquid.
May/June 2022
A measuring cylinder holds $30\,\text{cm}^3$ of a liquid. Extra liquid is then poured in until the liquid level reaches the $50\,\text{cm}^3$ mark. The balance reading rises by $30\,\text{g}$. What is the density of the liquid?
May/June 2022
A measuring cylinder initially holds $30\,\text{cm}^3$ of a liquid. More of the liquid is then poured in until the level reaches the $50\,\text{cm}^3$ mark. The balance reading rises by $30\,\text{g}$. What is the density of the liquid?
May/June 2022
A measuring cylinder holds $30\,\text{cm}^3$ of a liquid. Additional liquid is then poured in until the level reaches the $50\,\text{cm}^3$ mark. The balance reading rises by $30\,\text{g}$. Determine the density of the liquid.
May/June 2022
A measuring cylinder initially holds $30\,\text{cm}^3$ of a liquid. Extra liquid is poured in until the level of the liquid reaches the $50\,\text{cm}^3$ mark. The balance reading rises by $30\,\text{g}$. Determine the density of the liquid.
May/June 2022
A measuring cylinder initially holds $30\,\text{cm}^3$ of a liquid. Additional liquid is poured in until the level reaches the $50\,\text{cm}^3$ mark. The balance reading rises by $30\,\text{g}$. What is the density of the liquid?
May/June 2022
A student is finding the density of an irregularly shaped stone. The stone is carefully placed into a measuring cylinder that is already part-filled with water. Which other apparatus is needed for the student to work out the density of the irregularly shaped stone?
May/June 2023
Which two measurements have to be known to work out the density of a material?
May/June 2023
A measuring cylinder that contains $50\,\text{cm}^3$ of water is placed on a balance. A solid object is then added to the cylinder, and the water level increases to $75\,\text{cm}^3$. What is the density of the object?
May/June 2023
A student measures the density of an irregular stone. The stone is carefully placed into a measuring cylinder that already contains some water. What other apparatus is needed for the student to work out the density of the irregularly shaped stone?
May/June 2023
Which pair of quantities need to be known in order to calculate the density of a material?
May/June 2023
A student measures the diameter of a set of identical steel balls. Fig. 1.1 illustrates the arrangement she uses.
May/June 2023
A plastic bottle holds $750\,\text{cm}^3$ of oil. The diagram shows the bottle's mass being measured first when it is full and then when it is empty. What is the density of the oil?
May/June 2024
The diagram shows a quantity of liquid in a measuring cylinder. The liquid has a mass of $16\,\text{g}$. Calculate the density of the liquid.
May/June 2024
An object has a mass of $2.5\,\text{kg}$. Its volume is $480\,\text{cm}^3$. What is the object's density?
May/June 2024
A closed container with a volume of $2000\,\text{cm}^3$ contains air at high pressure. The container is placed on a top-pan balance. The balance shows $200.00\,\text{g}$. A vacuum pump removes all the air, and the balance reading then falls to $196.00\,\text{g}$. What is the density of the pressurised air?
May/June 2024
A student wants to determine the volume of a piece of metal. The student may use any of the pieces of equipment shown in Fig. 2.1.
May/June 2024
The masses and volumes for four objects are given. Which object would float in a liquid with density $1.4\ \text{g cm}^{-3}$?
May/June 2025
Each of the four hollow glass balls, P, Q, R and S, has a volume of $30\,\text{cm}^3$. The mass of each ball is given. Which balls will float in a liquid of density $0.95\,\text{g cm}^{-3}$?
May/June 2025
There are four hollow glass spheres, P, Q, R and S, and each one has a volume of $30\,\text{cm}^3$. The mass of every sphere is given. Which spheres will float in a liquid with density $0.95\,\text{g cm}^{-3}$?
May/June 2025
The diagrams depict two metal blocks, X and Y, each hanging from the same type of force meter. X and Y are the same size. Which statement correctly describes X and Y?
May/June 2025
A girl is wearing a gold necklace. Which apparatus is required to determine the density of the gold?
May/June 2025
A student works out the density of copper. She has a rectangular block of copper. What other apparatus is required?
May/June 2025
Three samples of different liquids each have the same mass. Their volumes are $190\,\text{cm}^3$, $200\,\text{cm}^3$ and $235\,\text{cm}^3$. All three liquids are poured into a large measuring cylinder, where they settle into three distinct layers since they do not mix. What readings will be shown on the measuring cylinder at the two interfaces between the samples?
May/June 2025
The diagrams illustrate an empty rectangular box and the same box after it has been filled with liquid. The empty box has a mass of $60\,\text{g}$. Once it is filled with liquid, the combined mass of the box and the liquid becomes $300\,\text{g}$. The liquid has a density of $1.2\,\text{g cm}^{-3}$. Calculate the volume of the liquid in the box.
Oct/Nov 2016
A student uses a measuring cylinder and a balance to determine the density of oil. The diagram shows the setup used. Which calculation finds the density of the oil?
Oct/Nov 2016
The diagrams illustrate an empty container and the same container after it has been filled with liquid. The mass of the empty container is $120\ \text{g}$. After the liquid is added, the combined mass of the container and the liquid becomes $600\ \text{g}$. The volume of liquid in the container is $600\ \text{cm}^3$. What is the density of the liquid?
Oct/Nov 2016
The diagrams display a rectangular box in its empty state and the same box after being filled with liquid. The mass of the empty box is $60\ \text{g}$. Once the liquid is added, the combined mass of the box and the liquid is $300\ \text{g}$. The liquid has a density of $1.2\ \text{g cm}^{-3}$. Determine the volume of the liquid in the box.
Oct/Nov 2016
A student uses a balance and a measuring cylinder to determine the density of oil. The diagram shows the setup used. Which calculation gives the density of the oil?
Oct/Nov 2016
The diagrams illustrate an empty container and the same container after it has been filled with liquid. The mass of the empty container is $120\,\text{g}$. After the liquid has been added, the combined mass of the container and the liquid becomes $600\,\text{g}$. The volume of the liquid in the container is $600\,\text{cm}^3$. Calculate the density of the liquid.
Oct/Nov 2016
Fig. 2.1 displays a block of wood.
Oct/Nov 2016
What information is required to determine the density of a regularly shaped block?
Oct/Nov 2017
What makes a balloon full of hot air rise?
Oct/Nov 2017
What information is required to determine the density of a regularly shaped block?
Oct/Nov 2017
What is required to determine the density of a regularly shaped block?
Oct/Nov 2017
What makes a balloon filled with hot air rise?
Oct/Nov 2017
Fig. 3.1 depicts a warning marker bobbing on the lake’s surface. A metal chain connects the marker to a heavy object resting on the lake bed.
Oct/Nov 2017
Fig. 3.1 depicts a glass vase that is used to display flowers.
Oct/Nov 2017
Fig. 2.1 presents a metal item that a scientist found with a metal detector. She wants to identify the metal from which the item is made, so she must determine its density.
Oct/Nov 2017
Each edge of the plastic cube measures 8.0 cm. Figure 3.1 depicts the cube. The cube has a mass of 0.44 kg.
Oct/Nov 2017
Fig. 1.1 shows a cylinder of copper with density 9000 kg/m$^3$. Its volume is 75 cm$^3$.
Oct/Nov 2017
Fig. 2.1 shows a measuring cylinder holding a coloured liquid. There is $82\,\text{cm}^3$ of the liquid in the measuring cylinder. The liquid has a density of $950\,\text{kg m}^{-3}$.
Oct/Nov 2017
The volume of a liquid is $0.040\ \text{m}^3$ and its mass is $30\,000\ \text{g}$. What is the density of the liquid?
Oct/Nov 2018