0580.C2.4.02 — 12a 5 ÷ 3a –2.: past paper questions

Real questions on 0580.c2.4.02 — 12a 5 ÷ 3a –2.

The newest 19 of 19 written questions. Open one to see it on the real paper.

1. 0580/31 · May/June 2026 · Q13a[1]
   13 Put **one** pair of brackets into each calculation to make it correct. (a) $10+12-8\times 5=30$See it on the paper →
2. 0580/31 · May/June 2026 · Q13b[1]
   13 Put **one** pair of brackets into each calculation to make it correct. (b) $10+20\times 7÷5=30$See it on the paper →
3. 0580/04 · Specimen 2025 · Q15a[2]

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

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4. 0580/04 · Specimen 2025 · Q15b[2]

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

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5. 0580/21 · October/November 2025 · Q18[4]
   18 $f(x)=2x+5$ $f(x)f(x)-ff(x)=a{x}^2+bx+c$ Find the value of $a$, the value of $b$ and the value of $c$.See it on the paper →
6. 0580/21 · October/November 2025 · Q19[3]
   19 Solve. ${\left(\frac{1}{3}\right)}^x=9^{x+4}$See it on the paper →
7. 0580/21 · October/November 2025 · Q22[5]
   22 Solve. $\frac{2}{x-1}=\frac{x}{x+2}$See it on the paper →
8. 0580/21 · May/June 2025 · Q17a[2]

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

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9. 0580/21 · May/June 2025 · Q17b(i)[2]

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

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10. 0580/21 · May/June 2025 · Q17b(ii)[3]

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

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11. 0580/23 · May/June 2025 · Q10[4]
    10 Solve the simultaneous equations. $4x-5y=13$ $3x-2y=8$See it on the paper →
12. 0580/12 · February/March 2023 · Q16[2]
    16 **Without using a calculator**, work out $\frac{4}{7}÷8$. You must show all your working and give your answer as a fraction in its simplest form.See it on the paper →
13. 0580/23 · October/November 2022 · Q9[2]

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

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14. 0580/13 · May/June 2022 · Q16[2]

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

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15. 0580/42 · February/March 2021 · Q11a[1]

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

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16. 0580/42 · February/March 2021 · Q11b[4]

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

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17. 0580/42 · February/March 2021 · Q11c[3]

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

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18. 0580/42 · February/March 2021 · Q11d[1]

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

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19. 0580/42 · February/March 2020 · Q10d(ii)[4]

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

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What examiners said

The majority of candidates were able to correctly complete the tree diagram for the counters being picked from the bag without replacement. Where incorrect responses were seen, it was common for part marks to be awarded on the branch for a yellow second counter following a red first counter. The branches following on from the first counter being yellow were sometimes incorrectly completed, with pr...

— Examiner report, May/June 2025, 0580/21 Q17(b)(i) (Cambridge)

Calculating the probability that one of the two counters is yellow proved challenging for candidates, with only the strongest responses finding the correct probability. Candidates who were successful generally showed clear working either in the working space or on the tree diagram. Some candidates found the probability of just one of the possibilities for getting one yellow counter (red then yello...

— Examiner report, May/June 2025, 0580/21 Q17(b)(ii) (Cambridge)

Most candidates used a correct method to solve these equations. The most common method was to multiply the first and second equations by 3 and 4 respectively, then subtract the equations. Some candidates had problems with –15y – (–8y), which many gave as 7y leading to 7y = 7 and y = 1. Multiplying the equations instead by 2 and 5 did not lead to such a difficult subtraction. Some used substitution...

— Examiner report, May/June 2025, 0580/23 Q10 (Cambridge)