0580.C1.1.07 — Identify and use: cube numbers.: past paper questions

Real questions on 0580.c1.1.07 — identify and use: cube numbers.

The newest 15 of 15 written questions. Open one to see it on the real paper.

1. 0580/22 · February/March 2026 · Q3a(ii)[1]
   | $-50$ | $-11$ | $9$ | $15$ | $27$ | $50$ | $83$ | (a) From this list of numbers, write down (ii) a cube numberSee it on the paper →
2. 0580/13 · October/November 2025 · Q12a[1]
   12 (a) Simplify. $3y-4y+2y$See it on the paper →
3. 0580/13 · October/November 2025 · Q12b(i)[1]
   (b) Solve. (i) $x+5=19$See it on the paper →
4. 0580/13 · October/November 2025 · Q12b(ii)[2]
   (b) Solve. (ii) $6x-5=7$See it on the paper →
5. 0580/13 · October/November 2025 · Q13[2]
   13 [Diagram: A number line with axis $x$ marked from $-6$ to $3$. A solid line segment is drawn above the axis from $-5$ to $1$. There is a filled (solid) circle at $-5$ and an open (hollow) circle at $1$.] Write down the inequality represented on the number line.See it on the paper →
6. 0580/22 · October/November 2025 · Q13b[2]
   $M=2^7\times 3^3\times 5^2$ (b) $R$ is an integer. $\frac{M}{R}$ is a cube number. Find the smallest possible value of $R$.See it on the paper →
7. 0580/22 · May/June 2025 · Q5a[1]
   [Diagram: A coordinate grid with $x$ and $y$ axes ranging from $-4$ to $4$. Triangle $T$ is shaded with vertices at $(-2,1)$, $(-1,1)$, and $(-1,3)$. Triangle $U$ is unshaded with vertices at $(1,1)$, $(3,1)$, and $(3,2)$.] (a) Translate triangle $T$ by the vector $\left(\begin{array}{c}0\\ -2\end{array}\right)$.See it on the paper →
8. 0580/22 · May/June 2025 · Q5b[3]
   [Diagram: A coordinate grid with $x$ and $y$ axes ranging from $-4$ to $4$. Triangle $T$ is shaded grey with vertices at $(-2,1)$, $(-1,1)$ and $(-1,3)$. Triangle $U$ is unshaded with vertices at $(1,1)$, $(3,1)$ and $(3,2)$.] (b) Describe fully the **single** transformation that maps triangle $T$ onto triangle $...See it on the paper →
9. 0580/33 · May/June 2025 · Q1c[1]
   | 2 | 6 | 16 | 18 | 24 | 26 | 27 | 33 | From this list, write down the number that is (c) a cube number.See it on the paper →
10. 0580/23 · October/November 2024 · Q1a[1]
    | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | From the list of numbers, write down **(a)** a cube numberSee it on the paper →
11. 0580/12 · February/March 2023 · Q7a[1]
    | 12 | 15 | 27 | 29 | 91 | 93 | From the list of numbers, write down (a) a cube numberSee it on the paper →
12. 0580/23 · October/November 2022 · Q2b[1]

    1-mark “write down” question — its maths and diagrams are best seen on the paper.

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13. 0580/32 · October/November 2022 · Q1a(iv)[1]

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

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14. 0580/23 · October/November 2020 · Q1[1]

    1-mark “Write down” question — its maths and diagrams are best seen on the paper.

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15. 0580/22 · February/March 2020 · Q1b[1]

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

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What examiners said

Comprehensive responses • Almost all candidates could identify the cube number. Limited responses • A few candidates thought 9 was a cube number.

— Examiner report, February/March 2026, 0580/22 Q3(a)(ii) (Cambridge)

This part was generally well attempted, with many candidates correctly applying the translation. However, a small number of responses revealed a misunderstanding of the direction, as some candidates incorrectly translated the triangle along the direction of the x-axis instead of the y-axis. Another error was to count 2 squares down from a bottom corner and start to draw the top of the triangle fro...

— Examiner report, May/June 2025, 0580/22 Q5(a) (Cambridge)

Many candidates showed clear understanding of what was needed and scored all 3 marks. Those candidates who scored 2 marks normally did so for rotation with an accurate direction and angle. There were some who were confused about direction, with clockwise 90 being a common error. The centre of rotation proved the most difficult part for candidates to get right, with (0, 0), (0, 1) or (1, 0) being c...

— Examiner report, May/June 2025, 0580/22 Q5(b) (Cambridge)