0580.E2.4.01 — 5x + 1 = 25x.: past paper questions

Real questions on 0580.e2.4.01 — 5x + 1 = 25x.

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

1. 0980/11 · October/November 2025 · Q8[2]
   $p=3q-2r$ Work out the value of $q$ when $p=50$ and $r=5$. $q=$See it on the paper →
2. 0980/11 · October/November 2025 · Q16a[2]
   16 (a) Complete the table of values for $y=\frac{9}{x}$. | $x$ | $-4.5$ | $-3$ | $-2$ | $-1.5$ | $-1$ | | $1$ | $1.5$ | $2$ | $3$ | $4.5$ | |---|---|---|---|---|---|---|---|---|---|---|---| | $y$ | $-2$ | $-3$ | | $-6$ | $-9$ | | $9$ | $6$ | $4.5$ | | $2$ |See it on the paper →
3. 0980/12 · May/June 2025 · Q24[3]
   24 Solve the simultaneous equations. $5x+2y=3$ $3x+4y=27$See it on the paper →
4. 0980/21 · October/November 2024 · Q6a[1]
   The diagram shows a right-angled triangle $ABC$ and a quadrilateral $AEDC$. [Diagram: A right-angled triangle $ABC$ with the right angle at $A$. A point $E$ is on $AB$ and a point $D$ is on $CB$. The line segment $DE$ is drawn. The angle $ACB$ is split into two parts: angle $ACE$ is $y^{\circ }$ and angle $ECD$ is $17^\ci...See it on the paper →
5. 0980/21 · October/November 2024 · Q6b[1]
   6 The diagram shows a right-angled triangle $ABC$ and a quadrilateral $AEDC$. [Diagram: A right-angled triangle $ABC$ with the right angle at $A$. A point $E$ is on $AB$ and a point $D$ is on $CB$. A line segment connects $C$ to $E$. The angle $ACE$ is labelled $y^{\circ }$. The angle $ECB$ is labelled $17^{\circ }$. The ang...See it on the paper →
6. 0980/21 · October/November 2024 · Q22b[4]

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

   See it on the paper →
7. 0980/21 · October/November 2024 · Q23[2]
   23 \qquad (x-5)^2 + k = x^2 - px - 21 Find the value of $p$ and the value of $k$.See it on the paper →
8. 0980/41 · October/November 2024 · Q1c[2]
   (c) Solve. $4+2x=15$See it on the paper →
9. 0980/41 · October/November 2024 · Q1d[3]
   (d) Solve. $\frac{34+2x}{5}=4-x$See it on the paper →
10. 0980/41 · October/November 2024 · Q1e(i)[2]
    (e) $P=d+\sqrt[3]{m^2}$ (i) Find $P$ when $d=7$ and $m=-8$. $P=$See it on the paper →
11. 0980/41 · October/November 2024 · Q1e(ii)[3]
    (e) $P=d+\sqrt[3]{m^2}$ (ii) Rearrange the formula to make $m$ the subject. $m=$See it on the paper →
12. 0980/11 · October/November 2023 · Q3a[1]
    3 Complete these statements. (a) When $x=$ .................... , $x+3=8$.See it on the paper →
13. 0980/11 · October/November 2023 · Q3b[1]
    3 Complete these statements. (b) When $7y=63$, $10y=$ ....................See it on the paper →
14. 0980/41 · October/November 2023 · Q2b[3]
    (b) Solve. $5(4y-3)=15$See it on the paper →
15. 0980/41 · October/November 2023 · Q2d[3]
    (d) Rearrange $A=2b^2-3c^3$ to make $c$ the subject.See it on the paper →
16. 0980/22 · May/June 2023 · Q12a[2]
    12 One solution of the equation $a{x}^2+b=181$ is $x=8$. $a$ and $b$ are both positive integers greater than 1. (a) Find the value of $b$. $b=$See it on the paper →
17. 0980/22 · May/June 2023 · Q12b[1]
    One solution of the equation $a{x}^2+b=181$ is $x=8$. $a$ and $b$ are both positive integers greater than 1. (b) Write down the other solution of the equation $a{x}^2+b=181$.See it on the paper →
18. 0980/22 · May/June 2023 · Q18[4]
    18 Make $x$ the subject of the formula. $c=\frac{3x}{2x-5}$See it on the paper →
19. 0980/42 · May/June 2023 · Q9c[6]
    (c) Solve the simultaneous equations. You must show all your working and give your answers correct to 2 decimal places. $2x+y=7$ $y=5x^2+2x-13$ $x=$ …………………, $y=$ ………………… $x=$ …………………, $y=$ …………………See it on the paper →
20. 0980/31 · October/November 2022 · Q4d[2]
    (d) Rana hires a car. The cost is $74perdayplusadeliverycostof$17.50. Rana pays a total of $461.50. Calculate the number of days that Rana hires the car.See it on the paper →

What examiners said

Most candidates were familiar with simultaneous equations and while some used a substitution method, the majority tackled the question using elimination. While most made good progress on multiplying one or both equations correctly, a common error was, for example, to subtract the x’s correctly but then to subtract the numbers the wrong way round, giving 21 instead of −21. Some multiplied the algeb...

— Examiner report, May/June 2025, 0980/12 Q24 (Cambridge)

Most candidates gave the correct answer. A few did not go far enough, giving 8 − 3 as their final answer, without evaluating it to reach 5.

— Examiner report, October/November 2023, 0980/11 Q3(a) (Cambridge)

The majority of candidates answered this correctly. Some worked out that y = 9 and then gave this as their final answer.

— Examiner report, October/November 2023, 0980/11 Q3(b) (Cambridge)