0580.E2.5.01 — 3x + 4 = 10.: past paper questions

Real questions on 0580.e2.5.01 — 3x + 4 = 10.

The newest 10 of 10 written questions. Open one to see it on the real paper.

1. 0580/13 · October/November 2025 · Q12b(i)[1]
   (b) Solve. (i) $x+5=19$See it on the paper →
2. 0580/13 · October/November 2025 · Q12b(ii)[2]
   (b) Solve. (ii) $6x-5=7$See it on the paper →
3. 0580/21 · October/November 2025 · Q8[2]

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

   See it on the paper →
4. 0580/43 · October/November 2025 · Q14[5]
   14 These expressions are all equal in value. $\frac{5x-2}{3}$ $10-x$ $y+11$ Find the value of $y$.See it on the paper →
5. 0580/43 · October/November 2025 · Q17[3]
   17 Make $t$ the subject of the formula. $x=\frac{7t}{5-t}$See it on the paper →
6. 0580/13 · May/June 2023 · Q25[4]
   25 In this question, both lengths are in centimetres. [Diagram: Two line segments, AB and CD, not to scale. Line AB is labelled with length $10x-12$. Line CD is labelled with length $2x+3$.] The diagram shows two lines, $AB$ and $CD$. The length of $AB$ is $10x-12$. The length of $CD$ is $2x+3$. Line $AB$ is 3...See it on the paper →
7. 0580/42 · February/March 2022 · Q3b[2]
   3 $f(x)=1+4x$ $g(x)=x^2$ (b) Find the value of $x$ when $f(x)=15$.See it on the paper →
8. 0580/12 · October/November 2021 · Q16a[2]
   16 (a) Solve. $7x+18=4$See it on the paper →
9. 0580/12 · October/November 2021 · Q16b[1]
   (b) $7^y\times 7^6=7^{18}$ Find the value of $y$.See it on the paper →
10. 0580/22 · October/November 2021 · Q5[3]
    Angelique rents a room for a party. The cost of renting the room is \15.50$forthefirsthourandthen$\$7.25$ for each additional hour. She pays \95.25$ in total. Work out the total number of hours she rents the room for.See it on the paper →

What examiners said

Setting up the initial equation correctly was challenging for most candidates. 10x – 12 = 2x + 3 was more commonly seen as the equation or 3(10x – 12) = 2x + 3. There were unsuccessful attempts at trial and error, or answers from incorrect starting points. Many candidates were unclear that one equation was needed. Some tried solving them simultaneously or just worked with 10x – 12 and 2x + 3 separ...

— Examiner report, May/June 2023, 0580/13 Q25 (Cambridge)

Most answers demonstrated a good understanding of solving the equation f(x) = 15 and many correct solutions were seen. The most common error involved substitution of x = 15 leading to an answer of 61.

— Examiner report, February/March 2022, 0580/42 Q3(b) (Cambridge)

Although the solution of a linear equation was done well, many candidates did make the error of not accepting that the answer, or the first step, could be negative. 18 – 4 was often seen instead of 4 – 18. Answers without working were seen a number of times and while that was not penalised in this question if correct, it was more often incorrect, usually an answer of 2.

— Examiner report, October/November 2021, 0580/12 Q16(a) (Cambridge)