0580.C4.1.33 — pyramid.: past paper questions

Real questions on 0580.c4.1.33 — pyramid.

The newest 6 of 6 written questions. Open one to see it on the real paper.

1. 0580/23 · May/June 2026 · Q13b[1]
   [Diagram: A circle with centre $O$. Points $A$, $B$ and $C$ are on the circumference. $AOC$ is a straight line (a diameter). $M$ is a point on the chord $AB$. Lines are drawn for $AC$, $BC$, $AB$, and $OM$. Labelled "NOT TO SCALE".] $A$, $B$ and $C$ are points on a circle with centre $O$. $AOC$ is a straight line and $...See it on the paper →
2. 0580/33 · May/June 2025 · Q22a[3]
   22 The diagram shows a solid cylinder with height $10\text{ cm}$. [Diagram: A solid cylinder with a vertical dimension line on the right indicating a height of $10\text{ cm}$. The text "NOT TO SCALE" is to the right of the cylinder.] The volume of the cylinder is $478{\text{ cm}}^3$. (a) Find the radius of the cylinde...See it on the paper →
3. 0580/33 · May/June 2025 · Q22b[1]
   The diagram shows a solid cylinder with height $10\text{ cm}$. [Diagram: A solid cylinder with height labelled $10\text{ cm}$. Text "NOT TO SCALE".] The volume of the cylinder is $478{\text{ cm}}^3$. (b) The cylinder is made from gold. The density of the gold is $19.3{\text{ g/cm}}^3$. Calculate the mass of the cylinde...See it on the paper →
4. 0580/42 · February/March 2021 · Q8a(i)[2]

   2-mark “Show” question — its maths and diagrams are best seen on the paper.

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5. 0580/42 · February/March 2021 · Q8a(ii)[4]

   4-mark question — its maths and diagrams are best seen on the paper.

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6. 0580/42 · February/March 2021 · Q8b[6]

   6-mark question — its maths and diagrams are best seen on the paper.

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What examiners said

The majority of candidates gave the correct answer. The most common error was 19.3 ÷ 478 = 0.04 and slightly less common was 478 ÷ 19.3 = 24.76 .

— Examiner report, May/June 2025, 0580/33 Q22(b) (Cambridge)

Only a minority of candidates demonstrated a clear understanding of the method required and reached a correct answer with some losing out on the final accuracy by premature rounding at intermediate stages. A wide variety of errors were seen. When finding the radius of the cone some divided the arc length by 2 with others assuming the vertical angle of the cone was either 60° or occasionally 30°. W...

— Examiner report, February/March 2021, 0580/42 Q8(b) (Cambridge)