Home / Cambridge IGCSE Mathematics (0580) / Geometry (Core) / Circle theorems
Circle theorems: Cambridge IGCSE Mathematics (0580) practice questions
Circle theorems (C4.7, Core) is part of Geometry (Core). STEM Exam Builder holds 31 past-paper questions on it for Cambridge IGCSE Mathematics (0580), from papers set between 2010 and 2025, each with its mark scheme. 9 of them are in the sample set visitors can open in the builder.
What it covers
The questions are sorted into 4 skills; you can tick single skills in the builder:
- Missing acute angle in a semicircle triangle
- Recognise a right angle in a semicircle
- Angles between two tangents
- Radius perpendicular to a tangent
Questions by paper
| Paper | Questions |
|---|---|
| Paper 1 (Core, non-calculator) | 16 |
| Paper 2 (Extended, non-calculator) | 10 |
| Paper 3 (Core, calculator) | 4 |
| Paper 4 (Extended, calculator) | 1 |
Questions by level
Each question carries a level, C, B or A: the grade it is pitched at.
| Level | Questions |
|---|---|
| Level C | 5 |
| Level B | 21 |
| Level A | 5 |
Questions by year the paper was set
| Year | Questions |
|---|---|
| 2010 | 7 |
| 2011 | 4 |
| 2012 | 1 |
| 2013 | 1 |
| 2014 | 3 |
| 2015 | 1 |
| 2016 | 1 |
| 2017 | 1 |
| 2018 | 0 |
| 2019 | 0 |
| 2020 | 0 |
| 2021 | 0 |
| 2022 | 2 |
| 2023 | 3 |
| 2024 | 1 |
| 2025 | 6 |
Try sample questions
These questions are in the sample set anyone can open in the builder without an account. Each opens with its mark scheme on the flip side.
The link opens the builder on Circle theorems, Paper 1. Visitors can browse the sample set; building and downloading a paper needs a plan.