Cambridge IGCSE · 0580 · Paper 4 · Extended · structured
Mathematics 0580/41 Oct/Nov 2025 past paper
Cambridge IGCSE Mathematics (0580) Paper 4 (Extended · structured), variant 1, 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
- 70
File names: 0580_w25_qp_41 · 0580_w25_ms_41
Grade thresholds for 0580/41 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 |
|---|---|---|---|---|
| 70 | 55 | 41 | 32 | 23 |
Topics in this paper
Which syllabus chapters 0580/41 Oct/Nov 2025 tested, by marks. Each chapter links to every past-paper question on it.
Questions in 0580/41 Oct/Nov 2025
- Question 1
A quadrilateral has • rotational symmetry of order 2 • two diagonals that are the only lines of symmetry. Write down the geometrical name of this quadrilateral.
- Question 2
- Question 3
NOT TO SCALE x° 55° The diagram shows two parallel lines and a straight line. Find the value of …
- Question 4
A train journey starts at 22 16. The journey takes 5 hours 52 minutes. Find the time the train journey finishes.
- Question 5
B A (a) In triangle ABC, AB = 8 cm, AC = 7 cm and BC = 5 cm. Using a ruler and compasses only, construct triangle ABC. The side AB has been drawn for you. (b) Measure angle ACB. …
- Question 6
- Question 7
- Question 8
- Question 9
An athlete runs at a speed of 9.5 m/s. Convert this speed into km/h. km/h
- Question 10
- Question 11
In a sale, the prices of coats are reduced by 15%. (a) The original price of a coat is $60. Calculate the sale price of the coat. $ (b) The sale price of a different coat is $58.14 . Calculate …
- Question 12
Some students are asked if they like football (F) or rugby (R). The Venn diagram shows the results. …
- Question 13
- Question 14
A cube contains a solid metal sphere. The sphere touches all the faces of the cube. The side length of the cube is 8 cm. (a) Show that the volume of the sphere is rcm …
- Question 15
- Question 16
The table shows some information about the heights of 50 plants. Height (h cm) …
- Question 17
Find the equation of the straight line that passes through the points (2, 0) and (0, 4). Give your answer in the form y mx …
- Question 18
10 2 0 8 Speed (m/s) Time (seconds) NOT TO SCALE 0 The diagram shows part of the speed–time graph for an athlete in a race. (a) Calculate the distance the athlete runs in the first 10 seconds. m (b) …
- Question 19
The mass of a radioactive substance decays exponentially at a rate of 10% per day. The initial mass of the substance is 20 g. Find the number of whole days it takes for the mass of the substance to first …
- Question 20
These are the first five terms of a sequence. …
- Question 21
In triangle STU, ST = 8 cm, SU = 9 cm and angle TSU = 50°. Calculate the area of triangle STU. cm2
- Question 22
Alex invests $200 at a rate of r% per year compound interest. At the end of 25 years the value of this investment is $301.10 . Find the value of …
- Question 23
- Question 24
Martha walks a distance of 10 km at a speed of x km/h. She then runs a distance of 5 km at a speed of …
- Question 25
Kai sorts parcels into two types, light and heavy. Type of parcel Mass (m kg) Light …
- Question 26
Solve the simultaneous equations. You must show all your working. …
- Question 27
- Question 28
- Question 29
Other Mathematics papers from Oct/Nov 2025
- 0580/21 Extended · short answer
- 0580/22 Extended · short answer
- 0580/23 Extended · short answer
- 0580/42 Extended · structured
- 0580/43 Extended · structured