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CIE iGCSE Co-Ordinated Science P1.4 Density Exam Style Questions Paper 2

Question

Which two pieces of apparatus are used to find the density of a small, irregularly shaped piece of metal?

A. balance and measuring cylinder
B. balance and metre rule
C. beaker and measuring cylinder
D. beaker and metre rule

▶️ Answer/Explanation
Density is calculated as \( \rho = \dfrac{\text{mass}}{\text{volume}} \), so both mass and volume need to be measured.
A balance is used to find the mass of the metal, while a measuring cylinder is used to find its volume by the displacement of water when the metal is submerged.
A metre rule cannot measure the volume of an irregular shape (only regular ones), so it is not suitable here.
Answer: (A)

Question

A stone of mass \(60g\) 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. \(0.50\text{ g/cm}^3\)
B. \(0.75\text{ g/cm}^3\)
C. \(1.3\text{ g/cm}^3\)
D. \(2.0\text{ g/cm}^3\)

▶️ Answer/Explanation
Volume of stone = change in water level = \(80 – 50 = 30\text{ cm}^3\). Density = mass/volume = \(60/30 = 2.0\text{ g/cm}^3\).
Answer: (D)

Question

A solid, rectangular metal block has the dimensions shown.

The mass of the block is 2700 g.
What is the density of the metal?
(A)  $\frac{25 \times 5}{2700}$ g / cm$^{3}$

(B) $\frac{25 \times 5\times 8 }{2700}g$ g / cm$^{3}$

(C) $\frac{2700}{25\times 5}g$ / cm$^{3}$

(D) $\frac{2700}{25\times 5\times 8}$ g / cm$^{3}$

▶️Answer/Explanation

Ans: D

Question

The diagrams show four solid blocks of equal mass.
Which block is made from the least dense material?

▶️Answer/Explanation

Ans : D

Question

An irregularly shaped piece of aluminium is lowered into a measuring cylinder that contains 43 cm3 of water. The aluminium is totally immersed in the water and the water level in the measuring cylinder rises to 51 cm3 . The density of aluminium is 2.7 g/ cm3.

What is the mass of the aluminium?

(A) 15.9 g           (B) 18.9 g           (C) 21.6 g           (D) 127 g

▶️Answer/Explanation

Ans : C

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