0580.C2.4.01 — (5x 3) 2.: past paper questions

Real questions on 0580.c2.4.01 — (5x 3) 2.

The newest 20 of 86 written questions. Open one to see it on the real paper.

1. 0980/11 · October/November 2025 · Q23a[1]
   23 (a) $a^8\times a^x=a^{15}$ Find the value of $x$. $x=$See it on the paper →
2. 0980/11 · October/November 2025 · Q23b[1]
   (b) $(b^7{)}^y=b^{21}$ Find the value of $y$.See it on the paper →
3. 0980/11 · October/November 2025 · Q25[2]
   25 Expand and simplify. $(x+3)(x-2)$See it on the paper →
4. 0980/11 · October/November 2025 · Q29[3]
   29 Jim buys 15 apples and 10 pears for $42.50$ . Li buys 4 apples and 5 pears for $16$. Write down a pair of simultaneous equations and solve them to find the cost of one apple and the cost of one pear.See it on the paper →
5. 0980/21 · October/November 2025 · Q17a[2]
   17 $I=M(k^2+c^2)$ (a) Find the value of $I$ when $M=7,k=3$ and $c=2.$See it on the paper →
6. 0980/21 · October/November 2025 · Q17b[3]
   17 $I=M(k^2+c^2)$ (b) Rearrange the formula to write $k$ in terms of $I$, $M$ and $c$.See it on the paper →
7. 0980/21 · October/November 2025 · Q21a[2]
   $(3-\sqrt{5})(2+3\sqrt{5})=a+b\sqrt{5}$ Find the value of $a$ and the value of $b$.See it on the paper →
8. 0980/41 · October/November 2025 · Q2[2]
   2 Solve. $11-2x=4$ $x=$See it on the paper →
9. 0980/41 · October/November 2025 · Q6[1]
   6 Expand. $g(3-2g)$See it on the paper →
10. 0980/41 · October/November 2025 · Q20a[1]
    20 These are the first five terms of a sequence. 48 24 12 6 3 (a) Find the next term.See it on the paper →
11. 0980/41 · October/November 2025 · Q20b[2]
    20 These are the first five terms of a sequence. 48 24 12 6 3 (b) Find the $n$th term.See it on the paper →
12. 0980/22 · May/June 2025 · Q6a[2]
    6 Solve. (a) $8x+7=39$See it on the paper →
13. 0980/22 · May/June 2025 · Q6b[3]
    6 Solve. (b) $2(5y-1)=24$See it on the paper →
14. 0980/22 · May/June 2025 · Q9b[2]
    9 $A$ is the point $(3,-1)$. $\overrightarrow{AB}=\left(\begin{array}{c}2\\ -4\end{array}\right)$ (b) The length of $AB$ is $k\sqrt{5}$. Find the value of $k$.See it on the paper →
15. 0980/22 · May/June 2025 · Q18b[2]
    (b) $(5-\sqrt{2})(1+3\sqrt{2})=c+k\sqrt{2}$ Find the value of $c$ and the value of $k$.See it on the paper →
16. 0980/22 · May/June 2025 · Q19c[3]
    19 Write as a single fraction in its simplest form. (c) $\frac{2}{x-2}-\frac{3}{x+1}$See it on the paper →
17. 0980/42 · May/June 2025 · Q7[2]
    $y=mx+c$ Rearrange the formula to make $m$ the subject. $m=$See it on the paper →
18. 0980/42 · May/June 2025 · Q9[3]
    9 Solve the simultaneous equations. You must show all your working. $2w-3y=11$ $3w+y=11$See it on the paper →
19. 0980/42 · May/June 2025 · Q14[2]
    14 Factorise. $5x-10-ax+2a$See it on the paper →
20. 0980/42 · May/June 2025 · Q19a[1]

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

    See it on the paper →

What examiners said

Almost all candidates could solve the equation correctly. A small number gained 1 mark for showing working but made an arithmetic slip in 39 – 7 or in the division of 32 by 8. Those who did not score were generally adding 7 to 39, but this was rare.

— Examiner report, May/June 2025, 0980/22 Q6(a) (Cambridge)

The vast majority of candidates answered this part correctly. Most chose to expand the brackets first, occasionally forgetting to multiply –1 by 2. A small number of candidates proceeded to rearrange incorrectly and subtracted 2 from both sides of the equation instead of adding 2. In the final stage, the majority divided correctly after isolating the term in y, but subsequent errors in cancelling...

— Examiner report, May/June 2025, 0980/22 Q6(b) (Cambridge)

This question was a good discriminator. Many candidates recognised that Pythagoras’ theorem was required, although some did not use vector AB , using the coordinates of A instead. Some candidates successfully found the length of AB but did not simplify the surd correctly, leading to a common incorrect answer of 4 from 20 = 4 5 . Some wrote a negative number without brackets 2 2 under the square ro...

— Examiner report, May/June 2025, 0980/22 Q9(b) (Cambridge)