QCE Maths Methods PSMT walkthrough quiz

Practical Statistics and Mathematics Test, a one-hour supervised written examination sat in class

Pre-Senior Mathematics Test, a short diagnostic quiz sat before the start of the senior course

Public Statistics and Modelling Task, a presentation delivered to an audience outside the school

Problem-Solving and Modelling Task, a take-home report of up to 10 pages or 2000 words

Formulate, Solve, Evaluate and Verify, Communicate

Introduction, Method, Results, and Conclusion, as in a standard science report

Aim, Hypothesis, Data Collection, and Discussion of the experimental findings

Title page, Reference list, Appendix of raw data, and a presentation cover sheet

Begin computing straight away, treating the supplied numbers as the model without any setup or definitions at all

Translate the real-world context into a mathematical model, stating assumptions, defining variables, and choosing techniques

Skip the setup entirely and move directly to the solving stage, leaving the variables, assumptions, and chosen techniques undefined all the way through

Rely only on intuition about the context, without translating it into any formal mathematical model or notation

Only by-hand methods throughout, deliberately avoiding technology even where it is the expected tool to use

Only raw calculator output pasted in with no commentary, no annotation, and no written explanation of any of the steps that were taken

A combination of by-hand reasoning and technology, with all steps shown clearly enough that an assessor can follow

A verbal explanation of the approach alone, without any actual mathematical working being shown at all

Verifying that the calculator itself is functioning correctly and that the batteries, mode, and settings are all in good working order before the exam

Repeating the same calculation a second time to confirm that the identical numerical answer is produced again

Reading the question again carefully to confirm that every part of the task has actually been attempted

Checking the model against assumptions, testing edge cases, considering sensitivity, comparing results to expected ranges

Mathematical conventions (notation, units, labelled diagrams), clear logical flow, appropriate use of language, professional report format

Use of colourful fonts and decorative formatting to make the report visually appealing to the assessor reading it

Long, elaborate sentences that demonstrate an extensive vocabulary and a sophisticated writing style, regardless of the mathematical content or notation involved

Presenting the entire report as bullet points exclusively, with no connected prose or structured explanation at all

Capped at exactly 5 pages, with any additional pages being disregarded by the assessor entirely

10 pages OR up to 2000 words (whichever applies)

Unlimited in length, since longer and more detailed reports always attract more marks overall

Limited to 500 words of prose, with all mathematical working placed separately in an appendix

Linear $y = mx + c$, with the gradient $m$ fitted to the data and assumed to stay constant over the whole period modelled

Trigonometric $y = \sin(x)$, with the period adjusted to fit the data even though the scenario shows no repeating cycle

Exponential $y = A e^{kt}$, with $k$ estimated from data and the model tested against actual values

Polynomial of degree $7$, fitted exactly through every data point so that the curve passes through all of them

Be left implicit and hidden in the working, so the report reads as if no simplifications were ever made

Be ignored completely, since assessors are only interested in whether the final numerical answer is correct

Be added only at the very end of the report as a brief afterthought, well after the model has been solved

Be stated explicitly at the formulation stage and re-tested in the evaluation stage

This report addresses (specific real-world question) by formulating a (model type) using variables (X, Y, ...) under assumptions (A1, A2, ...). The model is then solved using (techniques) and evaluated against (data or expected behaviour).

I will model this situation as best I can, working through the numbers as they come up and explaining things along the way, so the reader can simply follow the calculations rather than being told the plan in advance.

Mathematics is a useful and powerful tool that helps people to understand the world around them, and this particular report will go on to show how it can be applied to a practical, real-world situation that many people would readily recognise from their daily life.

Models are abstract simplifications of reality that can never capture every detail, so this report will keep things general and avoid committing to specific variables or assumptions until they become necessary.