0580.E2.3.01 — x +x–4.: past paper questions

Real questions on 0580.e2.3.01 — x +x–4.

The newest 5 of 5 written questions. Open one to see it on the real paper.

1. 0580/42 · May/June 2026 · Q18c[4]
   18 In this question, all lengths are in centimetres. [Diagram: Triangle $ABC$ with $AC=x$, $BC=2x$, and angle $ACB=30^{\circ }$. Triangle $DEF$ with right angle at $E$, $DE=(x-4)$, $EF=(2x-6)$. NOT TO SCALE] (c) By factorising and solving $x^2-14x+24=0$, find the area of triangle $ABC$.See it on the paper →
2. 0580/32 · February/March 2023 · Q9b[3]
   (b) In this part, all measurements are in centimetres. [Diagram: A triangle with sides labelled $3x-10$, $x+70$, and $4x-50$. The text "NOT TO SCALE" is present.] The perimeter of the triangle is $526\text{ cm}$. Find the value of $x$.See it on the paper →
3. 0580/21 · October/November 2019 · Q24a[2]

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

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4. 0580/21 · October/November 2019 · Q24b[2]

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

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5. 0580/21 · October/November 2019 · Q25a[2]

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

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What examiners said

This part was generally answered well with the majority able to recognise the method and apply the algebra to be used. A good number of clearly set out and fully correct solutions were seen. Common errors included incorrect use of 180 or 360, equating each side to 526, attempting to multiply the sides, and an incorrect algebra step. A trial and improvement method was rarely successful.

— Examiner report, February/March 2023, 0580/32 Q9(b) (Cambridge)