Cambridge IGCSE · 0580 · Paper 2 · Extended · short answer
Mathematics 0580/22 May/June 2025 past paper
Cambridge IGCSE Mathematics (0580) Paper 2 (Extended · short answer), variant 2, May/June 2025: the question paper and its official mark scheme, 24 questions worth 100 marks, with the grade thresholds. Free to open, no account needed.
- Questions
- 24
- Marks
- 100
- Grade A from
- 76
File names: 0580_s25_qp_22 · 0580_s25_ms_22
Grade thresholds for 0580/22 May/June 2025
The minimum raw marks Cambridge set for each grade on this component (out of 100). Thresholds change every session and variant, so always compare your score with the paper you actually sat.
| A | B | C | D | E |
|---|---|---|---|---|
| 76 | 59 | 43 | 34 | 26 |
Topics in this paper
Which syllabus chapters 0580/22 May/June 2025 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Algebra | 2 | 12 |
| Statistics | 1 | 11 |
| Vectors | 2 | 9 |
| Differentiation | 1 | 9 |
| Mensuration | 2 | 6 |
| Graphs Of Functions | 1 | 6 |
| Simultaneous | 1 | 5 |
| Transformations | 1 | 4 |
| Indices | 1 | 4 |
| Surds | 1 | 4 |
| Proportionality | 1 | 4 |
| Trigonometric Graphs | 1 | 4 |
| 2D Trigonometry | 1 | 3 |
| Polygons | 1 | 3 |
| Number Sequences | 1 | 3 |
| Standard Form | 1 | 3 |
| Symmetry | 1 | 2 |
| Probability | 1 | 2 |
| Hcf Lcm | 1 | 2 |
| Circles | 1 | 2 |
| Arithematics | 1 | 2 |
Questions in 0580/22 May/June 2025
- Question 1
(a) Shade one more small square so that the diagram has one line of symmetry. (b) Shade one more small square so that the diagram has rotational symmetry of order 2.
- Question 2
The scale drawing shows the positions of two villages, P and Q. The scale is 1 cm represents 0.5 km. North P North Q (a) Find the actual distance between village P and village Q. km (b) Measure the bearing …
- Question 3
- Question 4
- Question 5
- Question 6
- Question 7
These are the first 4 terms of a sequence. …
- Question 8
Find the highest common factor (HCF) of 36 and 54.
- Question 9
- Question 10
NOT TO SCALE 45° O 18 cm The diagram shows a sector of a circle, centre O. The length of the arc is r n cm . Find the value of …
- Question 11
(a) Write 0.007 08 in standard form. (b) Work out …
- Question 12
- Question 13
(a) 100 students solve a puzzle. The table shows information about the time taken by each student to solve the puzzle. Time (t seconds) …
- Question 14
- Question 15
- Question 16
6 cm 5 cm NOT TO SCALE The diagram shows a solid made by joining a hemisphere to a cylinder. The radius of both the hemisphere and the cylinder is 6 cm. The height of the cylinder is 5 cm. …
- Question 17
- Question 18
(a) 3 9 Rationalise the denominator. Give your answer in its simplest form. …
- Question 19
Write as a single fraction in its simplest form. …
- Question 20
- Question 21
- Question 22
(a) Write down the exact value of tan 60°. (b) Solve sinx …
- Question 23
- Question 24
Other Mathematics papers from May/June 2025
- 0580/21 Extended · short answer
- 0580/23 Extended · short answer
- 0580/41 Extended · structured
- 0580/42 Extended · structured
- 0580/43 Extended · structured