AQA GCSE Physics Physics Paper 1 (Foundation), June 2024: Question 4

9 marks · Standard Demand difficulty · Short Answer

Investigate density using a measuring cylinder and a balance, including range of volumes, errors from string thickness and zero error, calculating volume and mass, and the density equation.

Practise this question

Question

A series of seven sub-questions (0.4.1 to 0.4.7) about determining the density of a metal ring using a measuring cylinder and a balance. Includes diagrams of a measuring cylinder (Figure 8) showing water level at 5.0 cm³ and a balance (Figure 9) showing a zero error reading of 0.02 g, alongside multiple-choice and calculation tasks.
Question text

04 Figure 8 shows a measuring cylinder containing some water.

Figure 8

04.1 What range of volumes can be measured using the measuring cylinder?

[1 mark]

Tick ( ) one box.

0.0 to 0.2 cm3

0.0 to 2.0 cm3

0.0 to 10.0 cm3 18

A student used the measuring cylinder to measure the volume of a metal ring.

04.2 The student tied the metal ring to some very thin string and lowered the ring into the

measuring cylinder.

The student could have used thick string instead of thin string.

How would using thick string have affected the measured volume of the metal ring?

[1 mark]

Tick ( ) one box.

*17* The measured volume would be smaller.

The measured volume would not be affected.

The measured volume would be larger.

04.3 Table 1 shows the results.

Table 1

Volume of water Volume of water and ring Volume of ring

in cm3 in cm3 in cm3

5.0 5.4 X

Calculate value X in Table 1.

[1 mark]

19 X = cm3

04.4 The student measured the volume of the ring three times.

The results were all the same.

Which of the following describes the student’s results?

[1 mark]

*18* Tick ( ) one box.

The results are anomalies.

The results are repeatable.

The results contain random errors.20

04.5 The student used a balance to measure the mass of the ring.

Figure 9 shows the balance.

Figure 9

The student noticed that the balance had a reading of 0.02 g when there was no

object on the balance.

How should the student correct this error after the mass of the ring had

been measured?

[1 mark]

Tick ( ) one box.

Add 0.02 to the measurement

Divide the measurement by 0.02

Multiply the measurement by 0.02

Subtract 0.02 from the measurement21

Use the Physics Equations Sheet to answer questions 04.6 and 04.7.

04.6 Write down the equation which links density (ρ), mass (m) and volume (V).

[1 mark]

04.7 A different metal ring has a volume of 0.3 cm3.

The density of this ring is 22 g/cm3.

Calculate the mass of this ring.

Give your answer in grams.

*20* [3 marks]

Mass = g

Mark scheme

Show the mark scheme Mark scheme for Question 4 detailing acceptable answers for sub-questions 0.4.1 through 0.4.7, including multiple-choice box selections, table calculations, equation recall, and density calculation steps.

Question 4

AO /

Question Answers Extra information Mark

Spec. Ref.

04.1 0.0 to 10.0 cm3 1 AO3

4.3.1.1

RPA5

AO /

Spec. Ref.

04.2 the measured volume would be 1 AO3

larger 4.3.1.1

RPA5

AO /

Spec. Ref.

04.3 0.4 (cm3) 1 AO2

4.3.1.1

RPA5

AO /

Spec. Ref.

04.4 the results are repeatable 1 AO3

4.3.1.1

RPA5

AO /

Spec. Ref.

04.5 subtract 0.02 from the 1 AO3

measurement 4.3.1.1

– – – RPA5

AO /

Spec. Ref.

04.6 mass 1 AO1

density =

volume 4.3.1.1

or RPA5

m

ρ =

V

AO /

Spec. Ref.

04.7 m 1 AO2 13

22 =

0.3 4.3.1.1

RPA5

m = 22 × 0.3 1

m = 6.6 (g) 1

Total Question 4 9

How to answer it

Measuring Density and Volume Study Guide

What this question tests

This question assesses your practical skills and understanding of required practical work (RPA5: Density), specifically using measuring cylinders to find volume, handling systematic errors in balances, recognising repeatability, and applying the density equation (density = mass / volume).

Part 0.4.1

Range of a Measuring Cylinder

✅ Correct Answer

0.0 to 10.0 cm³

1 mark

💡 Key Knowledge

  • The range of a measuring device is from its lowest scale division to its highest scale division.
  • Looking at Figure 8, the scale starts at 0.0 cm³ at the bottom and goes up to 10.0 cm³ at the top.
Part 0.4.2

Effect of String Thickness on Volume Measurement

✅ Correct Answer

The measured volume would be larger.

1 mark

❌ Common Errors & Misconceptions

Students sometimes think the string does not matter because it's "just string". However, thicker string displaces a greater volume of water itself, which incorrectly adds to the volume reading of the metal ring.

Part 0.4.3

Calculating Volume (Displacement Method)

✅ Correct Answer

X = 0.4 cm³

1 mark

📐 Calculation Steps

  1. Identify values: Initial water volume = 5.0 cm³; Water and ring volume = 5.4 cm³.
  2. Subtract: 5.4 - 5.0 = 0.4 cm³.
  3. Check units: Ensure your final answer includes the correct unit ( cm³ ) if not already printed on the answer line.
Part 0.4.4

Evaluating Experimental Results

✅ Correct Answer

The results are repeatable.

1 mark

💡 Key Knowledge

  • Repeatable: When the same student obtains the same (or very similar) results using the same method and equipment.
  • Reproducible: If a different person (or method) gets the same results.
Part 0.4.5

Zero Error Correction

✅ Correct Answer

Subtract 0.02 from the measurement

1 mark

🧠 Exam Technique

A reading of 0.02 g with no object on the balance is a zero error (a type of systematic error). Because the balance is reading 0.02 g too high right from the start, you must subtract 0.02 g from any final measured mass.

Part 0.4.6

Recall of the Density Equation

✅ Correct Answer

density = mass / volume (or ρ = m / V )

1 mark

❌ Common Errors

Avoid writing upside-down formulas like volume ÷ mass. Memorise the triangle or formula: density is how tightly packed mass is in a given volume (kg/m³ or g/cm³).

Part 0.4.7

Calculating Mass from Density and Volume

✅ Correct Answer

Mass = 6.6 g

3 marks

📐 Step-by-Step Calculation

  1. Write equation / substitute: 22 = m / 0.3 (1 mark)
  2. Rearrange: m = 22 × 0.3 (1 mark)
  3. Calculate final value: 6.6 g (1 mark)

Topics

Physics · Required Practicals · P3: Particle Model of Matter · Required Practicals

Question and mark scheme from the AQA GCSE Physics examination, Physics Paper 1 (Foundation), June 2024. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.