IGCSE · Mathematics 0580 · Number

Fractions, decimals & percentages: IGCSE Mathematics questions with answers

Free Fractions, decimals & percentages questions for IGCSE Mathematics (0580), part of Number. Each question has the answer and the marking points an examiner would look for.

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Fractions, decimals & percentages practice questions

Question 1Structured · 3 marksA* challenge

Write the recurring decimal 0.7454545… (the digits 45 recur) as a fraction in its simplest form.
Show all your working.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
4155
e.g. 1000x = 745.4545… and 10x = 7.4545… M1
990x = 745 − 7 = 738 M1
4155 A1
3
Question 2Structured · 3 marks

Without using a calculator, work out 314 ÷ 114.
Show all your working and give your answer as a mixed number in its simplest form.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
235
134 and 54 seen B1
134 × 45 M1
235 A1
3
Question 3Structured · 3 marksA* challenge

Write the recurring decimal 0.1212121… (the digits 21 recur) as a fraction in its simplest form.
Show all your working.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
433
e.g. 1000x = 121.2121… and 10x = 1.2121… M1
990x = 121 − 1 = 120 M1
433 A1
3
Question 4Structured · 3 marks

Without using a calculator, work out 157 ÷ 312.
Show all your working and give your answer as a mixed number in its simplest form.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
2449
127 and 72 seen B1
127 × 27 M1
2449 A1
3
Question 5Structured · 3 marksA* challenge

Write the recurring decimal 0.3121212… (the digits 12 recur) as a fraction in its simplest form.
Show all your working.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
103330
e.g. 1000x = 312.1212… and 10x = 3.1212… M1
990x = 312 − 3 = 309 M1
103330 A1
3
Question 6Structured · 3 marks

Without using a calculator, work out 316 ÷ 267.
Show all your working and give your answer as a mixed number in its simplest form.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
113120
196 and 207 seen B1
196 × 720 M1
113120 A1
3

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Original Cambridge-style practice questions written for mentorriyaz.in. These are not Cambridge past paper questions, and this site is not affiliated with or endorsed by Cambridge University Press & Assessment. Updated 2026-11-04. Paper generator · mentorriyaz.in