0580.C1.4.01 — proper fractions.: past paper questions

Real questions on 0580.c1.4.01 — proper fractions.

The newest 20 of 75 written questions. Open one to see it on the real paper.

1. 0580/11 · May/June 2026 · Q5c[1]
   (c) Write $0.15$ as a fraction in its simplest form.See it on the paper →
2. 0580/11 · May/June 2026 · Q12d[2]
   12 The stem-and-leaf diagram shows the lengths, in centimetres, of 32 wooden planks. | | | |---|---| | 23 | 3 4 4 5 6 6 8 9 | | 24 | 0 0 1 1 1 1 3 6 8 8 9 | | 25 | 2 3 5 6 7 9 9 9 | | 26 | 0 0 1 2 4 | key : $23\mid 3$ represents $233\text{ cm}$ (d) Find the fraction of all these planks which are less than $236 \te...See it on the paper →
3. 0580/12 · May/June 2026 · Q7a[2]

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

   See it on the paper →
4. 0580/12 · May/June 2026 · Q7b[1]

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

   See it on the paper →
5. 0580/13 · May/June 2026 · Q8b[2]
   8 Ben asks some children to choose their favourite type of snack. The pie chart shows the results. [Diagram: A pie chart with sectors labelled fruit, sweets, nuts, crisps, chocolate. Angles shown: fruit $30^{\circ }$, chocolate $140^{\circ }$, nuts $20^{\circ }$, crisps $90^{\circ }$ (right angle symbol).] (b) Find the fraction of...See it on the paper →
6. 0580/22 · May/June 2026 · Q10[3]
   10 Write $0.7\dot{3}$ as a fraction, giving your answer in its simplest form.See it on the paper →
7. 0580/23 · May/June 2026 · Q21b[3]
   (b) Rationalise the denominator. $\frac{4}{2-\sqrt{2}}$ Give your answer in its simplest form.See it on the paper →
8. 0580/23 · May/June 2026 · Q24[4]
   24 Write as a single fraction in its simplest form. \frac{x-2}{x+3}+\frac{x+3}{x-2}See it on the paper →
9. 0580/31 · May/June 2026 · Q1[3]
   1 The table shows a shopping bill for three items. | item | cost per kg | number of kg | total | |---|---|---|---| | potatoes | $2.18|3.5|$7.63 | | oranges | $1.48|6|$ | | onions | $|5.2|$ | | | total cost | | $29.25 | Complete the table.See it on the paper →
10. 0580/33 · May/June 2026 · Q10[1]

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

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11. 0580/12 · February/March 2026 · Q26[3]
    26 Work out $3\frac{3}{5}\times 2\frac{2}{9}$. Give your answer in its simplest form.See it on the paper →
12. 0580/11 · October/November 2025 · Q18[2]
    18 Work out $\frac{11}{18}-\frac{2}{9}$. Give your answer as a fraction in its simplest form.See it on the paper →
13. 0580/12 · October/November 2025 · Q18[3]
    18 Work out. $2\frac{5}{6}÷4\frac{1}{4}$ Write your answer as a fraction in its simplest form.See it on the paper →
14. 0580/13 · October/November 2025 · Q25[3]
    25 Work out. $\frac{3}{4}\times 1\frac{2}{3}$ Give your answer as a mixed number in its simplest form.See it on the paper →
15. 0580/21 · October/November 2025 · Q11[2]
    11 Write $0.\dot{2}\dot{4}$ as a fraction in its simplest form.See it on the paper →
16. 0580/23 · October/November 2025 · Q20[3]
    20 Work out $0.1\dot{1}\dot{4}+0.2$. Give your answer as a fraction.See it on the paper →
17. 0580/42 · October/November 2025 · Q13[2]
    13 Simplify. $\frac{7}{2m}+\frac{3}{8m}$See it on the paper →
18. 0580/21 · May/June 2025 · Q4[3]
    4 Work out. $\frac{5}{6}-\frac{2}{3}\times \frac{3}{8}$See it on the paper →
19. 0580/21 · May/June 2025 · Q7[3]
    7 Write the recurring decimal $0.\dot{2}\dot{6}$ as a fraction. Give your answer in its simplest form.See it on the paper →
20. 0580/22 · May/June 2025 · Q19b[2]
    19 Write as a single fraction in its simplest form. (b) $\frac{p}{2}+\frac{3t}{4}$See it on the paper →

What examiners said

Comprehensive responses • This regular multiplication of mixed numbers question was well answered with many correct solutions. Limited responses • Changing mixed numbers to improper fractions was well done although many candidates used careless cancelling or multiplication. • While a correct improper fraction was often seen, the final step of cancelling to the whole number was incorrect or left t...

— Examiner report, February/March 2026, 0580/12 Q26 (Cambridge)

In this question candidates needed to use the correct order of operations, multiply fractions and subtract fractions with different denominators. Candidates were generally able to multiply fractions, and many also correctly subtracted by writing the fractions over a common denominator. The most common errors were to work from left to right in the calculation (ignoring order of operations), incorre...

— Examiner report, May/June 2025, 0580/21 Q4 (Cambridge)

Candidates had been well prepared for this topic and many of them understood that the sum of the values should be 1 and showed clear working to arrive at the correct relative frequency, 0.12. The less well-prepared candidates thought the required relative frequency ought to lie between 0.22 and 0.26 with 0.24, the midpoint, being a common choice. Others tried to find a sequence and so a few added...

— Examiner report, May/June 2025, 0580/33 Q20(a) (Cambridge)