CIE iGCSE Co-Ordinated Science P1.4 Density Exam Style Questions Paper 1
Question
Which expression is the definition of density?
A massvolume
B volume mass
C area mass
D mass volume
▶️Answer/Explanation
Ans :A
Question
The density of gold is 19 g/cm$^{3}$. The masses and volumes of four coins are given in the table.
Which coin is made of gold?
▶️Answer/Explanation
Ans: B
Question
A metal has a density of 10 g / cm$^{3}$ . A solid, cuboid block of this metal has the dimensions shown.
What is the mass of the block?
(A) 2.0 g
(B) 10 g
(C) 200 g
(D) 1000 g
▶️Answer/Explanation
Ans: D
Question
Five identical solid glass balls, each of mass 5.0 g, are put into a measuring cylinder containing water.
The water level in the measuring cylinder rises from the 30 cm$^{3}$ mark to the 40 cm$^{3}$ mark.
What is the density of the glass from which the balls are made?
(A) 0.50 g/cm$^{3}$
(B) 1.2 g/cm$^{3}$
(C) 1.6 g/cm$^{3}$
(D) 2.5 g/cm$^{3}$
▶️Answer/Explanation
Ans : D
Question
A solid, rectangular piece of wood measures 8.0 m × 1.0 m × 0.10 m. The block has a mass of 440 kg.
What is the density of the wood?
(A) 55 kg/m$^{3}$
(B) 352 kg/m$^{3}$
(C) 550 kg/m$^{3}$
(D) 3520 kg/m$^{3}$
▶️Answer/Explanation
Ans: C
Question
The mass of an empty measuring cylinder is 15 g.
Liquid is poured into it and the total mass is now 95 g.
The reading on the measuring cylinder is shown.
What is the density of the liquid?
(A) 1.3 g/cm$^{3}$
(B) 1.4 g/cm$^{3}$
(C) 1.5 g/cm$^{3}$
(D) 1.7 g/cm$^{3}$
▶️Answer/Explanation
Ans : B
Question
A student places four identical beakers on a bench.
Two beakers contain salt water of density 1.1 g/cm3 and two beakers contain pure water of density 1.0 g/cm3. The quantity of water in each beaker is shown.
Which beaker exerts the greatest pressure on the bench?
▶️Answer/Explanation
Ans: A
Question
The diagram shows a block of metal of mass 72 g.
What is the density of the metal?
(A) 3.0 g/cm3 (B) 6.0 g/cm3 (C) 9.0 g/cm3 (D) 12 g/cm3
▶️Answer/Explanation
Ans: A
Question
A stone of mass 60 g is placed in a measuring cylinder containing water. The water level in the measuring cylinder rises as shown.
What is the density of the stone?
A 0.50 g/cm³
B 0.75 g/cm³
C 1.3 g/cm³
D 2.0 g/cm³
▶️Answer/Explanation
Answer: D 2.0 g/cm³
Explanation: The density of the stone can be calculated using the formula: density = mass/volume. The volume of the stone is equal to the volume of water displaced, which can be determined from the rise in water level in the measuring cylinder.
Question
A solid object is made from a material with density 0.60 g/cm³. The volume of the object is 4.0 cm³. What is the mass of the object?
A. 0.15 g
B. 2.4 g
C. 6.7 g
D. 38 g
▶️Answer/Explanation
Answer: B. 2.4 g
Explanation: Mass = Density × Volume = 0.60 g/cm³ × 4.0 cm³ = 2.4 g.
Question
A solid metal block has a mass of \( 2.0 \times 10^4 \, \text{kg} \) and a volume of \( 2.5 \, \text{m}^3 \). What is the density of the metal?
A. \( 800 \, \text{kg/m}^3 \)
B. \( 5000 \, \text{kg/m}^3 \)
C. \( 8000 \, \text{kg/m}^3 \)
D. \( 50 000 \, \text{kg/m}^3 \)
▶️Answer/Explanation
Answer: C
Explanation: Density is calculated using the formula: density = mass / volume. Substituting the given values: density = \( 2.0 \times 10^4 \, \text{kg} / 2.5 \, \text{m}^3 = 8000 \, \text{kg/m}^3 \).
Question
A solid cube of metal of side 2.0 cm has a mass of 400 g.
What is the density of the metal?
A. 0.020 g/cm³
B. 50 g/cm³
C. 100 g/cm³
D. 200 g/cm³
▶️Answer/Explanation
Answer: B. 50 g/cm³
Explanation: Density is calculated as mass divided by volume. The volume of the cube is \( 2.0 \, \text{cm} \times 2.0 \, \text{cm} \times 2.0 \, \text{cm} = 8.0 \, \text{cm}^3 \). Therefore, the density is \( \frac{400 \, \text{g}}{8.0 \, \text{cm}^3} = 50 \, \text{g/cm}^3 \).
Question
A metal has a density of 20 g/cm³. A bar made of this metal has a volume of 50 cm³. What is the mass of the bar?
A) 0.40 g
B) 2.5 g
C) 70 g
D) 1000 g
▶️Answer/Explanation
Answer: D) 1000 g
Explanation: The mass of the bar can be calculated using the formula \( \text{mass} = \text{density} \times \text{volume} \). Substituting the given values, \( \text{mass} = 20 \, \text{g/cm³} \times 50 \, \text{cm³} = 1000 \, \text{g} \).
Question
Four solid cuboid blocks P, Q, R and S have the dimensions shown in the diagram and masses that are equal.
Which two blocks have the same density?
A. P and Q
B. Q and R
C. Q and S
D. R and S
▶️Answer/Explanation
Answer: C. Q and S
Explanation: Density is calculated as mass divided by volume. Since the masses are equal, the blocks with the same volume will have the same density. Blocks Q and S have the same volume, so they have the same density.
Question
A stone is lowered into a measuring cylinder containing water. The diagrams show the readings on the measuring cylinder with and without the stone.
What is the volume of the stone?
A 40 cm3
B 50 cm3
C 60 cm3
D 95 cm3
▶️Answer/Explanation
Answer: B
Explanation: The volume of the stone is the difference in water level before and after the stone is added, which is 50 cm3.
Question
An object has a mass of 20 kg and a density of 8400 kg/m³. What is the volume of the object?
A. 2.4 × 10⁻³ m³
B. 4.2 × 10² m³
C. 1.6 × 10⁵ m³
D. 1.7 × 10⁵ m³
▶️Answer/Explanation
Answer: A. 2.4 × 10⁻³ m³
Explanation: Volume = mass / density = 20 kg / 8400 kg/m³ = 2.4 × 10⁻³ m³.
Question
The diagrams show four solid objects of equal mass.
Which object is made from the substance with the greatest density?
▶️Answer/Explanation
Answer: A
Explanation: Density is mass per unit volume. Object A has the smallest volume for the same mass, so it has the greatest density.