Cambridge IGCSE · 0580 · Paper 2 · Extended · short answer
Mathematics 0580/23 Oct/Nov 2025 past paper
Cambridge IGCSE Mathematics (0580) Paper 2 (Extended · short answer), variant 3, Oct/Nov 2025: the question paper and its official mark scheme, 29 questions worth 100 marks, with the grade thresholds. Free to open, no account needed.
- Questions
- 29
- Marks
- 100
- Grade A from
- 77
File names: 0580_w25_qp_23 · 0580_w25_ms_23
Grade thresholds for 0580/23 Oct/Nov 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 |
|---|---|---|---|---|
| 77 | 60 | 44 | 34 | 25 |
Topics in this paper
Which syllabus chapters 0580/23 Oct/Nov 2025 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Mensuration | 4 | 13 |
| Algebra | 2 | 9 |
| Circles | 2 | 8 |
| 2D Trigonometry | 2 | 7 |
| Arithematics | 2 | 6 |
| Indices | 2 | 6 |
| Surds | 1 | 6 |
| Simultaneous | 1 | 6 |
| Probability | 2 | 5 |
| Vectors | 1 | 5 |
| Number Sequences | 1 | 5 |
| Polygons | 2 | 4 |
| Statistics | 1 | 4 |
| Factorization | 1 | 4 |
| Trigonometric Graphs | 1 | 4 |
| Co-Ordinate Geometry | 1 | 3 |
| Graphs Of Functions | 1 | 2 |
| Sets | 1 | 2 |
| Hcf Lcm | 1 | 1 |
Questions in 0580/23 Oct/Nov 2025
- Question 1
x° 25° NOT TO SCALE The diagram shows an isosceles triangle. Find the value of …
- Question 2
Find the largest odd number that is a common factor of 90 and 120.
- Question 3
The diagram shows a net for a dice. The dice has six faces numbered 1 to 6. The sum of each pair of opposite faces on the dice is 7. Write the missing numbers on the net. …
- Question 4
A rectangle measures 5 cm by 19 cm. 19 cm 5 cm NOT TO SCALE Two of these rectangles are joined to make a shape. NOT TO SCALE Work out the perimeter of the shape. cm
- Question 5
- Question 6
The scatter diagram shows the value, in thousands of dollars, of ten paintings in 2005 and the value of the same paintings in …
- Question 7
(a) The sum of all the prime numbers less than 10 is equal to 17. Find the sum of all the prime numbers less than …
- Question 8
- Question 9
- Question 10
C A B 11 cm 8 cm NOT TO SCALE x° The diagram shows a right-angled triangle ABC. (a) Work out the exact length of AC. cm (b) cos …
- Question 11
Sarah rolls a fair 6-sided dice twice. Find the probability she rolls a number greater than 4 both times.
- Question 12
(a) Write down the value of 730. (b) Find the value of …
- Question 13
- Question 14
The minimum point on a quadratic curve is …
- Question 15
- Question 16
The table shows three sequences. 1st term 2nd term 3rd term 4th term 5th term nth term Sequence …
- Question 17
(a) Sketch the graph of ° ° cos …
- Question 18
Shade the region in each Venn diagram. …
- Question 19
60° A B O NOT TO SCALE The diagram shows a circle, centre O, radius 12 cm. (a) Work out the area of the minor sector AOB. Give your answer in terms of r in its simplest form. cm2 (b) …
- Question 20
- Question 21
- Question 22
- Question 23
- Question 24
(a) Simplify. 125 20 - (b) NOT TO SCALE cm 2 2 cm 3 8 The area of this rectangle is cm k 2. Work out the value of …
- Question 25
Mahir picks one number at random from the numbers 5, 10 and 15. He then picks one number at random from the numbers 4, 5 and 6. He adds the two numbers. The sample space diagram shows some of the …
- Question 26
Write as a single fraction in its simplest form. (a) y mp …
- Question 27
Solve the simultaneous equations. …
- Question 28
- Question 29
In this question all measurements are in centimetres. NOT TO SCALE Solid B Solid …
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