9709 · October/November 2025 · examinable unit

9709/13 Question 9

Cambridge Mathematics · 8 marks. This page is the question object — what is being tested — not the mark scheme.

Stem preview

The diagram shows part of the curve with equation y = 1/2x + 4/x and the line y = 4.5. Find the exact volume of the solid formed when the shaded region is…

Full stem stays in the official paper. We show a short excerpt so you can identify the item, then attempt your own answer.

What the examiner is asking

This 9709/13 item (8 marks, October/November 2025) is testing whether you can apply the linked topic under timed exam conditions — not whether you can recall a textbook paragraph. Read the command word, identify the quantity or argument required, and plan the mark-earning steps before you write.

Prerequisite concepts

Core definitions and relationships for the linked topic
Command-word literacy (state / describe / explain / calculate / deduce)
Showing method lines examiners can credit even if the final answer slips

Similar practice

After you attempt this question, mark it, then take another 9709 past-paper item on the same topic so the weakness becomes a habit fix — not a one-off score.

Try it yourself — mark my answer How marks are awarded (assessment page)