IGCSE · Mathematics 0580 · Number

The four operations: IGCSE Mathematics questions with answers

Free The four operations 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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The four operations practice questions

Question 1Structured · 3 marksA* challenge

Write the recurring decimal 0.2545454… (the digits 54 recur) as a fraction in its simplest form.
Show all your working.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
1455
e.g. 1000x = 254.5454… and 10x = 2.5454… M1
990x = 254 − 2 = 252 M1
1455 A1
3
Question 2Structured · 3 marks

Without using a calculator, work out 212 ÷ 123.
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
112
52 and 53 seen B1
52 × 35 M1
112 A1
3
Question 3Structured · 3 marksA* challenge

Write the recurring decimal 0.7686868… (the digits 68 recur) as a fraction in its simplest form.
Show all your working.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
761990
e.g. 1000x = 768.6868… and 10x = 7.6868… M1
990x = 768 − 7 = 761 M1
761990 A1
3
Question 4Structured · 3 marks

Without using a calculator, work out 214 ÷ 316.
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
2738
94 and 196 seen B1
94 × 619 M1
2738 A1
3
Question 5Structured · 3 marksA* challenge

Write the recurring decimal 0.2595959… (the digits 59 recur) as a fraction in its simplest form.
Show all your working.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
257990
e.g. 1000x = 259.5959… and 10x = 2.5959… M1
990x = 259 − 2 = 257 M1
257990 A1
3
Question 6Structured · 3 marks

Without using a calculator, work out 337 ÷ 316.
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
111133
247 and 196 seen B1
247 × 619 M1
111133 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