0580.C1.1.05 — Identify and use: square numbers.: past paper questions

Real questions on 0580.c1.1.05 — identify and use: square numbers.

The newest 20 of 44 written questions. Open one to see it on the real paper.

1. 0580/11 · May/June 2026 · Q1c[1]
   1 | $1.694$ | $\sqrt{18}$ | $6$ | $6.666$ | $7$ | $\sqrt{225}$ | $25$ | $27$ | $39$ | $56$ | $1000$ | From the list of numbers, write down (c) a square numberSee it on the paper →
2. 0580/12 · May/June 2026 · Q21c[1]
   21 These are the first four diagrams in a sequence. The diagrams are made using grey squares and white squares. [Diagram: Four diagrams in a sequence made of grey and white squares. Diagram 1 is a single grey square. Diagram 2 is a cross shape with a central grey square, a grey square to its right, and white squares ab...See it on the paper →
3. 0580/13 · May/June 2026 · Q2[1]

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

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4. 0580/31 · May/June 2026 · Q17[4]

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

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5. 0580/31 · May/June 2026 · Q19[3]

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

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6. 0580/31 · May/June 2026 · Q21[2]
   21 Calculate $(8.7\times 10^8)+(2.4\times 10^7)$. Write your answer in standard form.See it on the paper →
7. 0580/31 · May/June 2026 · Q22[3]
   Joseph invests $36 000 at a rate of 6.2% per year compound interest. Calculate the total interest earned at the end of 4 years.See it on the paper →
8. 0580/31 · May/June 2026 · Q23[2]
   23 Calculate the interior angle of a regular pentagon.See it on the paper →
9. 0580/03 · Specimen 2025 · Q5a[1]

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

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10. 0580/03 · Specimen 2025 · Q5b[1]

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

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11. 0580/04 · Specimen 2025 · Q1[2]

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

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12. 0580/04 · Specimen 2025 · Q10[2]

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

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13. 0580/04 · Specimen 2025 · Q11a[2]

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

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14. 0580/12 · October/November 2025 · Q4a[1]
    (a) Write down the value of $\sqrt{144}$.See it on the paper →
15. 0580/13 · October/November 2025 · Q21a[1]
    21 These are the first four terms of a sequence. $-6$ $1$ $8$ $15$ (a) Write down the next term.See it on the paper →
16. 0580/42 · October/November 2025 · Q7a[6]

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

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17. 0580/42 · October/November 2025 · Q7b[4]

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

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18. 0580/42 · October/November 2025 · Q8a(i)[2]

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

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19. 0580/42 · October/November 2025 · Q8a(ii)[3]

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

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20. 0580/42 · October/November 2025 · Q8b[3]

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

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What examiners said

More able candidates were able to give the correct answer. Some gained 1 mark for correctly substituting into the equation but were unable to rearrange it correctly. Others did not equate their substitution to 42.

— Examiner report, May/June 2025, 0580/13 Q14 (Cambridge)

The large majority gave the correct answer. Incorrect answers were usually 2 or 27.

— Examiner report, May/June 2025, 0580/33 Q1(b) (Cambridge)

Only a small number of candidates scored full marks here. Some ignored the semicircle giving simply the area of the triangle. Others found the area of circle and did not divide by 2 to find the area of semicircle; this was credited with a method mark. Some remembered the circle area formula incorrectly as rπ2 or 2r2π or used the circumference formula, 2πr. There were some who used Pythagoras’ theo...

— Examiner report, May/June 2024, 0580/11 Q25(a) (Cambridge)