Home / Cambridge IGCSE Mathematics (0580) / Geometry (Extended) / Circle theorems I
Circle theorems I: Cambridge IGCSE Mathematics (0580) practice questions
Circle theorems I (E4.7, Extended) is part of Geometry (Extended). STEM Exam Builder holds 61 past-paper questions on it for Cambridge IGCSE Mathematics (0580), from papers set between 2010 and 2025, each with its mark scheme. 7 of them are in the sample set visitors can open in the builder.
What it covers
The questions are sorted into 8 skills; you can tick single skills in the builder:
- Central angle from circumference angle
- Circumference angle from central angle
- Reflex central angle
- Opposite angles of a cyclic quadrilateral
- Equal angles standing on the same chord
- Alternate segment theorem
- Alternate segment theorem in an angle chain
- State a circle theorem as an angle reason
Questions by paper
| Paper | Questions |
|---|---|
| Paper 1 (Core, non-calculator) | 0 |
| Paper 2 (Extended, non-calculator) | 42 |
| Paper 3 (Core, calculator) | 0 |
| Paper 4 (Extended, calculator) | 19 |
Questions by level
Each question carries a level, C, B or A: the grade it is pitched at.
| Level | Questions |
|---|---|
| Level C | 0 |
| Level B | 26 |
| Level A | 35 |
Questions by year the paper was set
| Year | Questions |
|---|---|
| 2010 | 1 |
| 2011 | 2 |
| 2012 | 2 |
| 2013 | 4 |
| 2014 | 3 |
| 2015 | 2 |
| 2016 | 5 |
| 2017 | 5 |
| 2018 | 3 |
| 2019 | 6 |
| 2020 | 7 |
| 2021 | 4 |
| 2022 | 4 |
| 2023 | 5 |
| 2024 | 3 |
| 2025 | 5 |
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 I, Paper 2. Visitors can browse the sample set; building and downloading a paper needs a plan.