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Compound shapes and parts of shapes: Cambridge IGCSE Mathematics (0580) practice questions
Compound shapes and parts of shapes (C5.5, Core) is part of Mensuration (Core). STEM Exam Builder holds 92 past-paper questions on it for Cambridge IGCSE Mathematics (0580), from papers set between 2010 and 2025, each with its mark scheme. 12 of them are in the sample set visitors can open in the builder.
What it covers
The questions are sorted into 18 skills; you can tick single skills in the builder:
- Empty space around packed solids (volume or %)
- Area by counting grid squares
- Perimeter of an L shape
- Perimeter with straight sides and semicircles
- Area between a square and a circle
- Area of a circle with circular holes
- Area of a rectangle and triangle combined
- Area of a sector joined to right triangles
- Equate surface areas of different solids
- Volume of a prism with composite cross section
- Area of a compound rectilinear shape
- Area of a compound shape with a semicircle
- Area between a circle and an inscribed polygon
- Container dimensions from packed spheres
- Area between a tangent and an arc
- Area of a rectangle minus circles
- Surface area of a compound solid
- Volume of a compound solid
Questions by paper
| Paper | Questions |
|---|---|
| Paper 1 (Core, non-calculator) | 25 |
| Paper 2 (Extended, non-calculator) | 23 |
| Paper 3 (Core, calculator) | 25 |
| 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 | 4 |
| Level B | 63 |
| Level A | 25 |
Questions by year the paper was set
| Year | Questions |
|---|---|
| 2010 | 7 |
| 2011 | 3 |
| 2012 | 8 |
| 2013 | 6 |
| 2014 | 1 |
| 2015 | 12 |
| 2016 | 4 |
| 2017 | 7 |
| 2018 | 4 |
| 2019 | 6 |
| 2020 | 6 |
| 2021 | 7 |
| 2022 | 0 |
| 2023 | 4 |
| 2024 | 8 |
| 2025 | 9 |
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 Compound shapes and parts of shapes, Paper 1. Visitors can browse the sample set; building and downloading a paper needs a plan.