0580.C1.12.06 — density.: past paper questions

Real questions on 0580.c1.12.06 — density.

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

1. 0980/11 · October/November 2023 · Q20[2]
   20 [Diagram: A trapezium with a top horizontal side of length $8\text{ cm}$, a bottom horizontal side of length $14\text{ cm}$, and a vertical dashed line indicating the height of $6\text{ cm}$ with a right-angle symbol. The diagram is labelled "NOT TO SCALE".] Find the area of this trapezium.See it on the paper →
2. 0980/41 · October/November 2023 · Q8a(ii)[4]
   The diagram shows a solid formed by joining two hemispheres and a cylinder. The radius of the large hemisphere is $5.4\text{ cm}$. The radius of the small hemisphere and the radius of the cylinder are both $3.6\text{ cm}$. The height of the cylinder is $6.5\text{ cm}$. [Diagram: A solid composed of a large hemispher...See it on the paper →
3. 0980/41 · October/November 2022 · Q1b(i)[1]
   (b) [Diagram: A solid consisting of a cylinder with a hemisphere on top. The cylinder has a height of 14 cm and a radius of 6 cm. The text "NOT TO SCALE" is present.] The cylinder and hemisphere in part (a) are joined to form the solid in the diagram. The solid is made of steel and $1{\text{ cm}}^3$ of steel has a mass...See it on the paper →
4. 0980/41 · October/November 2022 · Q1b(ii)[2]
   [Diagram: A solid consisting of a cylinder with a hemisphere on top. The cylinder has a height of $14\text{ cm}$ and a radius of $6\text{ cm}$. The diagram is marked "NOT TO SCALE".] The cylinder and hemisphere in **part (a)** are joined to form the solid in the diagram. The solid is made of steel and $1 \text{ cm}^3...See it on the paper →
5. 0980/42 · May/June 2022 · Q1e[1]
   (e) A stone has volume $45{\text{ cm}}^3$ and mass $126\text{ g}$. Find the density of the stone, giving the units of your answer. [Density = mass $÷$ volume]See it on the paper →
6. 0980/42 · May/June 2021 · Q8b(i)[5]
   (b) [Diagram: A solid pyramid with rectangular base $ABCD$ and apex $E$. $E$ is vertically above $D$. $AB=18$ cm, $BC=15$ cm, $EC=24$ cm. Angle $EDC$ and angle $EDA$ are marked as $90^{\circ }$.] The diagram shows a solid pyramid with a rectangular base $ABCD$. $E$ is vertically above $D$. Angle $EDC$ = angle $EDA =...See it on the paper →

What examiners said

In this question there were some pleasing fully correct responses using the correct formula for the area of a trapezium. However, some who correctly wrote the formula, made errors in its implementation. Other candidates appeared uncertain of the formula.

— Examiner report, October/November 2023, 0980/11 Q20 (Cambridge)

A large proportion of candidates did not understand the significance of the first line of the question which stated that the solids were mathematically similar. Many candidates just used the new radius on the cylinder and kept all the other dimensions the same. For those that did understand that all the dimensions had changed, most approached the problem by trying to calculate the new volume with...

— Examiner report, October/November 2023, 0980/41 Q8(a)(ii) (Cambridge)

Most candidates showed the required calculation 7.85 ÷ 1000 or equivalent, for example 7.85 × 10–3.

— Examiner report, October/November 2022, 0980/41 Q1(b)(i) (Cambridge)