0580.C1.1.11 — Identify and use: rational and irrational numbers.: past paper questions

Real questions on 0580.c1.1.11 — identify and use: rational and irrational numbers.

The newest 9 of 9 written questions. Open one to see it on the real paper.

1. 0980/21 · October/November 2025 · Q21b[2]
   (b) Rationalise the denominator. Write your answer in its simplest form. $\frac{6}{\sqrt{2}}$See it on the paper →
2. 0980/31 · October/November 2023 · Q1c(v)[1]

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

   See it on the paper →
3. 0980/12 · May/June 2022 · Q16[1]
   16 $33\frac{1}{3}\%$ $\pi$ $\frac{1}{13}$ $343^{\frac{1}{3}}$ $\sqrt{3}$ $5.6\times 10^{-7}$ Two of the numbers in this list are irrational. Put a ring around each of these irrational numbers.See it on the paper →
4. 0980/12 · May/June 2021 · Q13b[1]
   (b) $\frac{7}{5}$ $0.6$ $\sqrt{7}$ $8$ $\sqrt{9}$ From this list, write down an irrational number.See it on the paper →
5. 0980/22 · May/June 2021 · Q7b[1]
   (b) $\frac{7}{5}$ 0.6 $\sqrt{7}$ 8 $\sqrt{9}$ From this list, write down an irrational number.See it on the paper →
6. 0980/32 · May/June 2021 · Q4b[2]
   (b) Write these numbers in order, starting with the smallest. $\frac{7}{12}$ $0.6$ $58\%$ $\frac{8}{13}$ $\frac{2}{3}$See it on the paper →
7. 0980/12 · May/June 2020 · Q11b[1]
   11 Write down (b) an irrational number.See it on the paper →
8. 0980/22 · May/June 2020 · Q4b[1]
   4 Write down (b) an irrational number.See it on the paper →
9. 0980/11 · October/November 2019 · Q7[2]
   7 Write these in order of size, starting with the smallest. $\frac{9}{19}$ $\frac{3}{7}$ $37\%$ $0.43$ $\cdots <\cdots <\cdots <\dots$ $smallest$See it on the paper →

What examiners said

Many candidates were able to identify the irrational number ( 1000 ). Common errors were 100 and 31.

— Examiner report, October/November 2023, 0980/31 Q1(c)(v) (Cambridge)

The question stated that there were two irrational numbers and so both were required to gain credit. While some did correctly identify the two numbers, it was clear that many did not understand irrational numbers. Most found one correctly, either π or √3.

— Examiner report, May/June 2022, 0980/12 Q16 (Cambridge)

Most candidates were able to select the irrational number but √9 was often seen. Again, some assumed there was more than one irrational number. Many did not understand irrational resulting in a variety of incorrect choices.

— Examiner report, May/June 2021, 0980/12 Q13(b) (Cambridge)