| Exam Board | OCR |
|---|---|
| Module | H240/02 (Pure Mathematics and Statistics) |
| Year | 2018 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Linear modelling problems |
| Difficulty | Easy -1.2 This is a qualitative interpretation question about graph shapes in a real-world context, requiring only basic understanding of linear/curved relationships and common sense reasoning about revision effectiveness. No calculations, formulas, or technical mathematical skills are needed—just interpretation of visual patterns and contextual reasoning about diminishing returns, unrealistic assumptions, and attitudes. |
| Spec | 1.02n Sketch curves: simple equations including polynomials |
| Answer | Marks | Guidance |
|---|---|---|
| 7 hours | B1 [1] | AO 2.2b |
| Answer | Marks | Guidance |
|---|---|---|
| Dave will gain no marks even if he does no revision | B1 [1] | AO 3.5a |
| Answer | Marks | Guidance |
|---|---|---|
| (Bob believes) too much revision leads to tiredness (or less sleep or stress or forgetting) and hence a lower mark. (Ayesha does not.) | B1 [1] | AO 3.5a |
| Answer | Marks | Guidance |
|---|---|---|
| (She believes that) however much or little revision she does it will make no difference to the mark she obtains | B1 [1] | AO 2.2b |
## Question 3:
### Part (i):
7 hours | **B1** [1] | AO 2.2b | Allow between 6 and 8 hours
### Part (ii):
Dave will gain no marks even if he does no revision | **B1** [1] | AO 3.5a | oe
### Part (iii):
(Bob believes) too much revision leads to tiredness (or less sleep or stress or forgetting) and hence a lower mark. (Ayesha does not.) | **B1** [1] | AO 3.5a | oe Must suggest reason for drop in marks
### Part (iv):
(She believes that) however much or little revision she does it will make no difference to the mark she obtains | **B1** [1] | AO 2.2b | or (She thinks) revision will not increase her mark or revision is unnec'y to obtain high mark; revision is unhelpful oe
---3 Ayesha, Bob, Chloe and Dave are discussing the relationship between the time, $t$ hours, they might spend revising for an examination, and the mark, $m$, they would expect to gain. Each of them draws a graph to model this relationship for himself or herself.\\
\includegraphics[max width=\textwidth, alt={}, center]{65d9d34c-8c78-45fe-b9f0-dab071ae56bb-04_437_423_1576_187}\\
\includegraphics[max width=\textwidth, alt={}, center]{65d9d34c-8c78-45fe-b9f0-dab071ae56bb-04_439_426_1576_609}\\
\includegraphics[max width=\textwidth, alt={}, center]{65d9d34c-8c78-45fe-b9f0-dab071ae56bb-04_439_428_1576_1032}\\
\includegraphics[max width=\textwidth, alt={}, center]{65d9d34c-8c78-45fe-b9f0-dab071ae56bb-04_437_419_1576_1462}\\
(i) Assuming Ayesha's model is correct, how long would you recommend that she spends revising?\\
(ii) State one feature of Dave's model that is likely to be unrealistic.\\
(iii) Suggest a reason for the shape of Bob's graph as compared with Ayesha's graph.\\
(iv) What does Chloe's model suggest about her attitude to revision?
\hfill \mbox{\textit{OCR H240/02 2018 Q3 [4]}}