0580.C1.3.01 — Calculate with the following: squares.: past paper questions

Real questions on 0580.c1.3.01 — calculate with the following: squares.

The newest 20 of 54 written questions. Open one to see it on the real paper.

1. 0580/12 · May/June 2026 · Q1[1]
   1   Write down the value of $\sqrt{81}$ .See it on the paper →
2. 0580/13 · May/June 2026 · Q22[3]
   22 In this question, all lengths are in centimetres. [Diagram: A rectangle with top side labelled $x-1$ and left side labelled $6$. Text "NOT TO SCALE" to the right.] The area, in ${\text{cm}}^2$, of the rectangle is $5x+8$. Write an equation to show this information and solve it to find the value of $x$. $x=$See it on the paper →
3. 0580/21 · May/June 2026 · Q1[1]
   1 Write down the value of $143^0$.See it on the paper →
4. 0580/12 · February/March 2026 · Q5b[2]
   (b) These are the first four terms of a different sequence. 27 21 15 9 Find the next two terms in the sequence.See it on the paper →
5. 0580/12 · February/March 2026 · Q11a[1]
   11 Put **one** pair of brackets into each calculation to make it correct. (a) $6\times 5-3+5=42$See it on the paper →
6. 0580/12 · February/March 2026 · Q11b[1]
   11 Put **one** pair of brackets into each calculation to make it correct. (b) $4-80+20÷10=-6$See it on the paper →
7. 0580/12 · February/March 2026 · Q12[2]
   12 Write $9\times 27$ as a power of 3.See it on the paper →
8. 0580/12 · February/March 2026 · Q13[1]
   13 Work out $\sqrt{0.0025}$ .See it on the paper →
9. 0580/12 · February/March 2026 · Q14[2]
   14 A school records the number of students who are late on each of 12 days. 17 1 23 14 18 8 8 12 10 5 22 19 Complete the stem-and-leaf diagram. | | | |---|---| | 0 | | | 1 | | | 2 | | key: $1\mid 7$ represents 17 studentsSee it on the paper →
10. 0580/12 · February/March 2026 · Q15a[1]
    15 The probability that Jai wins a game is $0.7$. (a) Find the probability that he does not win a game.See it on the paper →
11. 0580/12 · February/March 2026 · Q15b[1]
    15 The probability that Jai wins a game is $0.7$. (b) Jai plays 50 games. Work out the number of games he is expected to win.See it on the paper →
12. 0580/12 · February/March 2026 · Q16[3]

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

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13. 0580/12 · February/March 2026 · Q17[3]

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

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14. 0580/12 · February/March 2026 · Q18[2]
    18 Factorise. $9x^3-6x$See it on the paper →
15. 0580/12 · February/March 2026 · Q19a[2]
    19 $\mathcal{E}=\{1,2,3,4,5,6,7,8,9,10,11,12\}$ $A=\{\text{multiples of }3\}$ $B=\{\text{multiples of }4\}$ [Diagram: A Venn diagram with a rectangle labeled $\mathcal{E}$ containing two overlapping circles labeled $A$ and $B$.] (a) Complete the Venn diagram.See it on the paper →
16. 0580/32 · February/March 2026 · Q5a[1]
    5 Calculate. (a) $3.6^3-0.6^3$See it on the paper →
17. 0580/32 · February/March 2026 · Q5b[1]
    5 Calculate. (b) $\frac{6.589-2.985}{\sqrt{0.16}}$See it on the paper →
18. 0580/32 · February/March 2026 · Q8[2]
    8 Work out a fraction that is exactly half-way between $\frac{1}{6}$ and $\frac{3}{8}$.See it on the paper →
19. 0580/02 · Specimen 2025 · Q19a[2]

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

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20. 0580/02 · Specimen 2025 · Q19b[2]

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

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What examiners said

Comprehensive responses • Most candidates found the first of the next two terms and went on to find the second one, having realised a difference of 6 between the terms. Limited responses • Errors were made in subtracting 6, usually resulting in –4 or –2 for the second of the terms. • A few cases were seen of extending the other end of the sequence with 33 and 39 or even quoting two consecutive Te...

— Examiner report, February/March 2026, 0580/12 Q5(b) (Cambridge)

Comprehensive responses • There was quite a good response to this part. Limited responses • Many felt the brackets should be round just two terms and did not consider more included. • There were some who had two pairs of brackets, ignoring the clear instruction. • Common errors were (–1 + 5), (5 –3) and (6 5).

— Examiner report, February/March 2026, 0580/12 Q11(a) (Cambridge)

Comprehensive responses • A fair number of candidates had the brackets placed correctly but not as many as for part (a). Limited responses • A common error was to include the minus sign before 80 inside the brackets. • Other errors were (4 – 80 + 20), (80 + 20 ÷ 10) and (20 ÷ 10). • Most candidates did not attempt this part of the question. Candidates could improve by reviewing the required metho...

— Examiner report, February/March 2026, 0580/12 Q11(b) (Cambridge)