0580.C1.1.12 — Identify and use: reciprocals.: past paper questions

Real questions on 0580.c1.1.12 — identify and use: reciprocals.

The newest 20 of 48 written questions. Open one to see it on the real paper.

1. 0580/12 · May/June 2026 · Q16[2]
   16 Find the value of the reciprocal of $0.8$.See it on the paper →
2. 0580/22 · May/June 2026 · Q3[2]
   3 Find the reciprocal of $3\frac{1}{3}$. Give your answer as a fraction in its simplest form.See it on the paper →
3. 0580/22 · May/June 2026 · Q4[2]
   4 Work out $\frac{1}{6}÷\frac{2}{7}$ .See it on the paper →
4. 0580/22 · May/June 2026 · Q17b[3]
   (b) Rationalise the denominator and simplify. $\frac{2}{3-\sqrt{5}}$See it on the paper →
5. 0580/31 · May/June 2026 · Q12[2]
   12 Write one of the symbols $<$, $>$ or $=$ in each statement to make it correct. $\frac{5}{8}$ ................................ $62.5\%$ $0.2^2$ ................................ $0.4$ $\frac{2}{3}$ ................................ $0.67$See it on the paper →
6. 0580/31 · May/June 2026 · Q14[1]
   14 Write down the reciprocal of $\frac{5}{7}$.See it on the paper →
7. 0580/12 · February/March 2026 · Q9b[1]
   (b) Write down the reciprocal of 4.See it on the paper →
8. 0580/01 · Specimen 2025 · Q4[2]

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

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9. 0580/03 · Specimen 2025 · Q4[1]

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

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10. 0580/03 · Specimen 2025 · Q6[1]

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

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11. 0580/11 · October/November 2025 · Q4b[1]
    (b) Write down the reciprocal of $\frac{3}{7}$.See it on the paper →
12. 0580/22 · October/November 2025 · Q10a[3]
    10 $b=dm+2mk$ (a) $d=3.14$, $m=7.92$ and $k=10.16$ . By rounding each value correct to 1 significant figure, work out an estimate for $b$.See it on the paper →
13. 0580/11 · May/June 2025 · Q5[1]
    5 Write down the reciprocal of 5.See it on the paper →
14. 0580/13 · May/June 2025 · Q1b(ii)[2]
    (ii) Find the value of the reciprocal of $0.25$ .See it on the paper →
15. 0580/23 · May/June 2025 · Q15b[2]
    (b) $\frac{40\sqrt{8}}{5\sqrt{2}}=k$, where $k$ is an integer. Find the value of $k$.See it on the paper →
16. 0580/23 · May/June 2025 · Q15c[2]
    (c) Rationalise the denominator. $\frac{1}{3-\sqrt{5}}$See it on the paper →
17. 0580/31 · May/June 2025 · Q11[3]
    11 A plane leaves Seattle at 07 30 on Tuesday and arrives in Seoul 10 hours and 55 minutes later. The local time in Seoul is 16 hours ahead of the local time in Seattle. Work out the day and time in Seoul when the plane arrives.See it on the paper →
18. 0580/12 · October/November 2024 · Q1[1]
    1 Write the number half a million in figures.See it on the paper →
19. 0580/13 · October/November 2024 · Q1[1]
    1 Write $6475$ correct to the nearest ten.See it on the paper →
20. 0580/11 · May/June 2024 · Q6b[1]

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

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What examiners said

Many that attempted this question showed little understanding of the term, ‘reciprocal’. Wrong answers 5 included or –5. It was noticeable that many of the answers were values from the previous question. 1

— Examiner report, May/June 2025, 0580/11 Q5 (Cambridge)

Some candidates gave the correct answer, but a large number did not know how to deal with the decimal.

— Examiner report, May/June 2025, 0580/13 Q1(b)(ii) (Cambridge)

In this part, candidates dealt with the square roots usually by writing 8 as 2 2 , or by dividing: 8 2 = 4 . A common error was to write 40 8 = 40 2 2 and then 42 2 . Some candidates failed to fully process their answer and left it as 8 4 .

— Examiner report, May/June 2025, 0580/23 Q15(b) (Cambridge)