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Algebraic manipulation: Cambridge IGCSE Mathematics (0580) practice questions
Algebraic manipulation (E2.2, Extended) is part of Algebra and graphs (Extended). STEM Exam Builder holds 63 past-paper questions on it for Cambridge IGCSE Mathematics (0580), from papers set between 2010 and 2025, each with its mark scheme. 6 of them are in the sample set visitors can open in the builder.
What it covers
The questions are sorted into 12 skills; you can tick single skills in the builder:
- Completing the square with an even linear coefficient
- Completing the square with an odd linear coefficient
- Expand three linear brackets
- Factorise four terms into two brackets
- Group four terms with a constant term
- Factorise a nonmonic quadratic with a negative constant
- Quadratic equation from a vertex
- Expand squared binomials in a proof
- Common factor then difference of two squares
- Difference of two squares with two variables
- Factorise a monic quadratic with negative constant
- Factorise a monic quadratic, positive constant
Questions by paper
| Paper | Questions |
|---|---|
| Paper 1 (Core, non-calculator) | 0 |
| Paper 2 (Extended, non-calculator) | 54 |
| Paper 3 (Core, calculator) | 0 |
| Paper 4 (Extended, calculator) | 9 |
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 | 57 |
| Level A | 6 |
Questions by year the paper was set
| Year | Questions |
|---|---|
| 2010 | 1 |
| 2011 | 2 |
| 2012 | 1 |
| 2013 | 5 |
| 2014 | 2 |
| 2015 | 5 |
| 2016 | 4 |
| 2017 | 2 |
| 2018 | 6 |
| 2019 | 5 |
| 2020 | 6 |
| 2021 | 3 |
| 2022 | 5 |
| 2023 | 2 |
| 2024 | 6 |
| 2025 | 8 |
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 Algebraic manipulation, Paper 2. Visitors can browse the sample set; building and downloading a paper needs a plan.