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Analysing results and graphs: OCR A‑Level Physics B questions

OCR A-Level Physics B past-paper questions on 2.0.3 Analysing results and graphs, 2016–2025, with mark schemes and examiner’s reports where available.

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  1. The start of question 1

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  2. Q1(a)(ii)

    June 2025 · Paper 3

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  3. Q1(d)(ii)

    June 2025 · Paper 3

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  4. Q2(c)(i)

    June 2025 · Paper 3

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  5. Q4(c)(i)

    June 2025 · Paper 3

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  6. Q4(c)(iii)

    June 2025 · Paper 3

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  7. Q27(b)

    June 2025 · AS Paper 1

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    The start of question 27

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  8. Q27(c)

    June 2025 · AS Paper 1

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  9. Q2(c)(ii)

    June 2025 · AS Paper 2

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  10. The start of question 33

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  11. Q38(b)(ii)

    June 2024 · Paper 1

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  12. Q2(a)

    June 2024 · Paper 2

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  13. Q3(b)

    June 2024 · Paper 3

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  14. The start of question 3

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  15. The start of question 27

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  16. Q8(b)(iii)

    June 2024 · AS Paper 2

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  17. Q1(a)(ii)

    June 2023 · Paper 3

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  18. The start of question 1

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  19. Q19

    June 2023 · AS Paper 1

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  20. The start of question 27

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All 61 questions on Analysing results and graphs, as a list
  1. June 2025, Paper 2, Q1(a) (3 marks): Fig. 1 shows an image of a sheet of gold atoms. Use the image to determine the radius of a gold atom. Explain your choice of the number of significant figures i
  2. June 2025, Paper 3, Q1(a)(ii) (3 marks): Calculate the average velocity of the cupcake case. Include the uncertainty in your answer. Give your answer to an appropriate number of significant figures. Av
  3. June 2025, Paper 3, Q1(d)(ii) (6 marks): This question is about terminal velocity and drag for falling cupcake cases. (ii)* Calculate the values of average velocity squared in Table 1.3. Determine whet
  4. June 2025, Paper 3, Q2(c)(i) (2 marks): Calculate the gradient of the line. Gradient = [2]
  5. June 2025, Paper 3, Q4(c)(i) (2 marks): Complete Table 4.1 and plot the remaining point on Fig. 4.2. [2]
  6. June 2025, Paper 3, Q4(c)(iii) (1 mark): Draw a line of best fit on Fig. 4.2. [1] 17 Fig. 4.2 1.6 1.4 1.2 1.0 T2/s2 0.8 0.6 0.4 0.2 0.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Mass / kg
  7. June 2025, AS Paper 1, Q27(b) (1 mark): Plot the two missing points on the graph. [1]
  8. June 2025, AS Paper 1, Q27(c) (3 marks): Determine the refractive index of the transparent plastic material. Use the gradient of the graph. Refractive index = [3]
  9. June 2025, AS Paper 2, Q2(c)(ii) (2 marks): Describe a graph that the student could draw with these results and explain how the graph would show if the results agreed with Newton’s 2nd law of motion. [2]
  10. June 2024, Paper 1, Q33(b) (2 marks): In another experiment the time t taken for the steel ball to fall from the electromagnet to the trap-door is measured for several values of s. A graph of t 2 ag
  11. June 2024, Paper 1, Q38(b)(ii) (3 marks): Use the graph to calculate a value of absolute zero of temperature. absolute zero of temperature = °C [3]
  12. June 2024, Paper 2, Q2(a) (2 marks): Draw a best-fit line on Fig. 2.2. Calculate the gradient of the line. gradient = V m–1 [2]
  13. June 2024, Paper 3, Q3(b) (3 marks): Draw a scale to –12 on the x-axis and to +12 on the y-axis. Plot a graph of 1 v (on the y-axis) against 1 u (on the x-axis) on Fig. 3.2, and draw a straight lin
  14. June 2024, Paper 3, Q3(c) (3 marks): Determine a value for the focal length of the lens. Use your line on the graph. focal length = m [3] 11 Fig. 3.2
  15. June 2024, AS Paper 1, Q27(e) (1 mark): Fig. 27.1c shows the experiment viewed from above. Fig. 27.1c first order maximum s θ grating centre spot 21.5 cm Show that the first-order maximum occurs at an
  16. June 2024, AS Paper 2, Q8(b)(iii) (6 marks): A student investigates the effect of changing the mass of a trolley on its acceleration when the resultant force acting on it is constant. The trolley is placed
  17. June 2023, Paper 3, Q1(a)(ii) (2 marks): Plot the missing points on the graph in Fig. 1.2 and draw the line of best fit. [2] Fig. 1.2 1000 900 800 potential difference / mV 700 600 500 0 20 40 60 80 10
  18. June 2023, Paper 3, Q1(a)(iii) (3 marks): Find the gradient of the line of best fit and hence calculate the lemon’s internal resistance, in ohms, Ω. Show your working. Internal resistance = Ω [3]
  19. June 2023, AS Paper 1, Q19 (1 mark): The best estimate of the r.p.m. that delivers maximum power is: A 3250 r.p.m. B 3500 r.p.m. C 3750 r.p.m. D 4000 r.p.m. Your answer [1]
  20. June 2023, AS Paper 1, Q27(b) (2 marks): Calculate the average speed of the cone with wedge angle 45°. Give an appropriate number of significant figures. average speed = m s–1 [2]
  21. June 2023, AS Paper 1, Q27(d)(i) (2 marks): Show that the measurements do not support this hypothesis. [2] 22 Four other students are asked to suggest how to improve the measurements. Drop the cones from
  22. June 2023, AS Paper 2, Q8(c) (2 marks): Use data from the table in (b) to complete the graph of Fig. 8.2 below. Fig. 8.2 4.0 VAB/V 3.0 2.0 1.0 0.0 0 10 20 30 40 50 d/mm [2]
  23. June 2022, Paper 2, Q4(a)(iii) (3 marks): The student records the balance reading for a range of current values. She plots a graph of balance reading (y-axis) against current (x-axis). Explain how she c
  24. June 2022, Paper 3, Q1(c)(ii) (3 marks): The results from the investigation are plotted on the graph shown in Fig. 1.2. Use data points from the graph below (excluding voltage = 0) to test whether the
  25. June 2022, Paper 3, Q2(c) (6 marks): This question is about an investigation into the relationship between the pressure and volume of a gas. The relationship is often referred to as Boyle’s Law. A
  26. June 2022, Paper 3, Q3(b)(ii) (2 marks): The decay graph has been started in Fig. 3.1. Complete the final three points on the graph using data from Table 3.1. [2] 6000 5000 4000 3000 2000 1000 0 0 1 2
  27. June 2022, AS Paper 1, Q27(b) (1 mark): State one improvement the students can make to their graph. [1]
  28. November 2021, Paper 1, Q4 (1 mark): Which is the best estimate of the unstretched length of the spring? A 0.5 cm B 2.6 cm C 4.5 cm D 7.5 cm Your answer [1] 4 The following information is for use i
  29. November 2021, Paper 1, Q30 (1 mark): The graph shows how the half-life t1/2 of different beta-emitting radioactive nuclides varies with the energy E of the emitted beta-particles. 1014 t / s 1/2 10
  30. November 2021, Paper 2, Q6(b)(ii) (2 marks): Calculate the gradient of the line, making your method clear. gradient = V m–1 [2]
  31. November 2021, Paper 3, Q1(a)(i) (2 marks): Complete the last two columns in Table 1.1. [2]
  32. November 2021, Paper 3, Q1(a)(iii) (2 marks): Draw the line of best fit on the graph and calculate the gradient. gradient = [2] 9.0 8.0 7.0 6.0 height / m 5.0 4.0 3.0 2.0 1.0 0.20 0.40 0.60 0.80 1.00 1.20 1
  33. November 2021, Paper 3, Q3(a)(i) (2 marks): Apply a test to the data to show that length is proportional to period. Explain the method. [2]
  34. November 2021, AS Paper 2, Q8(c)(i) (2 marks): Suggest and explain one reason why the uncertainty ΔL varies as shown in the table. [2]
  35. November 2021, AS Paper 2, Q8(c)(iii) (1 mark): Complete the table to the appropriate precision and plot the missing data on the graph opposite. [1]
  36. November 2020, Paper 2, Q3(b)(i) (1 mark): A ‘steepest-possible’ line has been drawn. Add a best-fit line to the graph. [1]
  37. November 2020, Paper 2, Q3(b)(iii) (3 marks): Find a value of the Planck constant from your best-fit line on Fig. 3.2. Show all your working. Planck constant = J s [3]
  38. November 2020, Paper 3, Q1(c)(ii) (1 mark): Draw a straight line of best fit through the initial linear section of Fig. 1.2. [1]
  39. November 2020, Paper 3, Q1(c)(iv) (3 marks): Use the linear part of Fig. 1.2 to find the specific thermal capacity of the liquid. c = J kg–1 K–1 [3]
  40. November 2020, Paper 3, Q2(b)(ii) (3 marks): Use the graph in Fig. 2.3 to complete the third column and then plot the points and complete the calibration curve in Fig. 2.4. [3] 9 100 90 80 70 60 light 50 i
  41. November 2020, Paper 3, Q3(b)(ii) (2 marks): The end correction is approximately equal to 0.3 D, where D is the diameter of the tube. What is the approximate diameter of the tube used in this experiment? D
  42. November 2020, AS Paper 1, Q18 (1 mark): A student measures the p.d. across and current through an electrical component and calculates its resistance. p.d. / V 5.62 current / A 0.5 Which calculated val
  43. November 2020, AS Paper 1, Q27(b)(i) (2 marks): Complete the graph of mean p.d. against LED frequency. [2]
  44. November 2020, AS Paper 1, Q27(b)(ii) (2 marks): Determine the gradient of the graph. gradient = Vs [2] Each electron that passes through the green LED transfers 2.40 eV of energy.
  45. November 2020, AS Paper 2, Q8(c)(ii) (3 marks): Sam decides that the uncertainties in m are far less than those in x, and plots the data as shown opposite. m ⎛ ⎞ Use the graph to find ⎝ ⎠ and its uncertainty.
  46. June 2019, Paper 3, Q2(b)(iii) (4 marks): On Fig. 2.2, plot a graph of T 2 (on the y-axis) against L (on the x-axis) and draw a [4] straight line of best fit through the data points.
  47. June 2019, Paper 3, Q2(b)(iv) (2 marks): Use the graph to determine a value for the acceleration due to gravity g. Show your working. g = m s–2 [2] 9 Fig. 2.2
  48. June 2018, Paper 1, Q38(b) (3 marks): Draw a line of best fit on the graph and measure its gradient with an uncertainty estimate. gradient = ± [3]
  49. June 2018, Paper 1, Q40(a) (3 marks): Draw a straight line of best fit on Fig. 40.2 and use it to predict the current in the coil when the motor is not rotating. Use your prediction to calculate the
  50. June 2018, Paper 3, Q2(b)(iii) (2 marks): A graph of ln (A / Bq) (y-axis) and t (x-axis) is drawn in Fig. 2. Plot the remaining points on the graph and draw the line of best fit. [2] 2.4 2.0 1.6 1.2 0.8
  51. June 2018, AS Paper 1, Q29(c)(ii) (3 marks): Use Fig. 29.2 to estimate the sensitivity of the sensor at 50 °C. Make your method clear. sensitivity = V °C−1 [3]
  52. June 2017, Paper 1, Q37(c)(ii) (5 marks): This table shows the data obtained in the extended investigation. Diameter D Terminal / mm velocity vT / m s–1 12.0 0.65 10.0 0.49 6.0 0.25 4.0 0.11 2.4 0.04 Fo
  53. June 2017, Paper 1, Q39(b)(i) (2 marks): Calculate the gradient of the sloping part of the log / log graph in Fig. 39.3. gradient = [2]
  54. June 2017, Paper 3, Q1(c)(i) (3 marks): It is suggested that Vout varies linearly with T. By adding uncertainty bars to Fig. 1.3 use the graph to show that this is true over the temperature range test
  55. June 2017, Paper 3, Q3(b)(i) (2 marks): Complete the table by calculating the mean change in balance reading and the corresponding values of force F for the last two current values. g = 9.8 N kg−1 [2]
  56. June 2017, Paper 3, Q3(b)(iii) (2 marks): Plot the last two points from the table, Fig. 3.3, on the graph Fig. 3.4. Draw a line of best fit. [2] 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0 0 0.5 1.0 1.5 2
  57. June 2017, Paper 3, Q4(b)(ii) (1 mark): Add the remaining points to the graph. [1]
  58. June 2017, Paper 3, Q4(b)(iv) (2 marks): Use data from the graph to calculate the focal length f of the lens. f = m [2]
  59. June 2017, AS Paper 1, Q27(b)(i) (2 marks): Fig. 27.2 shows a graph of the file size plotted against message time for the first three data points. Complete the graph and draw the best fit line. [2] 350 f
  60. June 2017, AS Paper 1, Q27(b)(ii) (1 mark): State how the graph shows that there is a fixed amount of information transmitted with each file that is independent of the message time. ���������������������
  61. June 2016, AS Paper 2, Q6(a) (3 marks): Anna correctly records the values of u and v and their uncertainties for s = 0.24 m as follows. u / m s–1 v / m s–1 s / m 0.24 1.40 ± 0.04 2.61 ± 0.03 Table 6.3

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