Cambridge IGCSE 0580 · Extended · Exams in 2026 and 2027
Stop losing algebra method marks
A free check finds your gaps. Six repair modules fix them, marked line by line.
- Free 12-question check
- 6 modules · 72 tasks
- 2 practice sections
- In the full course
Algebraic fractions · no calculator3 marks
Write (2x + 1)/3 − (x − 4)/2 as a single fraction.
- (2(2x + 1) − 3(x − 4))/6M1
- (4x + 2 − 3x − 12)/6M0
- (x − 10)/6A0
Minus sign over a numerator: subtract the whole of (x − 4).
Your mark1 / 3
Try one
Paper 2 style: no calculator. Answer it here.
Simplify .
How the repair works
Your algebra check17 / 24
Solving an inequality with a negative coefficient · Question 11 · 1/2
- Lost
- Wrote x > −3. Dividing by −5 reverses the sign.
- Free for you
- Lesson: Inequalities and regions.
Find the gap
Twelve questions, two per module. Each gap comes with the mark lost and the slip behind it.
Take the free check →Algebraic fractions · no calculator3 marks
Write (2x + 1)/3 − (x − 4)/2 as a single fraction.
- (2(2x + 1) − 3(x − 4))/6M1
- (4x + 2 − 3x − 12)/6M0
- (x − 10)/6A0
Minus sign over a numerator: subtract the whole of (x − 4).
Your mark1 / 3
Repair the method
A lesson, then 12 tasks marked from your working: M marks for method, A marks for accuracy.
Fresh retryNew questions
- Completing the square · 0 → 2
- Inequality, negative coefficient · 1 → 2
- Subtracting algebraic fractions · 1 → 2
Better on3 of 12 skills
Prove it on new questions
A fresh retry tests the same twelve skills with questions you have not seen.
Syllabus map
Every lesson and task is tagged to the 2025 to 2027 syllabus, on the Cambridge International website, Extended content.
| Ref | What you practise | Module | Tasks |
|---|---|---|---|
| E2.1.2 | Substitute numbers into expressions and formulas | Expanding and rearranging | 2 |
| E2.2.1 | Simplify expressions by collecting like terms | Expanding and rearranging | 6 |
| E2.2.2 | Expand products of algebraic expressions, including more than two brackets | Expanding and rearranging | 9 |
| E2.2.3 | Factorise by taking out common factors | Factorising | 7 |
| E2.2.4 | Factorise by grouping, difference of two squares, perfect squares, ax² + bx + c and ax³ + bx² + cx | Factorising | 14 |
| E2.2.5 | Complete the square for ax² + bx + c | Quadratics | 7 |
| E2.3.1 | Add, subtract, multiply and divide algebraic fractions | Algebraic fractions | 8 |
| E2.3.2 | Factorise and simplify rational expressions | Algebraic fractions | 6 |
| E2.5.1 | Construct expressions, equations and formulas, including simultaneous equations | Linear and simultaneous equations | 6 |
| E2.5.2 | Solve linear equations in one unknown | Linear and simultaneous equations | 9 |
| E2.5.3 | Solve equations with numerical and linear algebraic denominators | Algebraic fractions | 5 |
| E2.5.4 | Solve simultaneous linear equations in two unknowns | Linear and simultaneous equations | 8 |
| E2.5.5 | Solve simultaneous equations, one linear and one non-linear, with powers no higher than two | Quadratics | 3 |
| E2.5.6 | Solve quadratics by factorising, completing the square and the formula, including surd form | Quadratics | 16 |
| E2.5.7 | Change the subject of a formula, including when it appears twice or under a power or root | Expanding and rearranging | 8 |
| E2.6.1 | Represent and interpret inequalities, including on a number line | Inequalities and regions | 5 |
| E2.6.2 | Construct, solve and interpret linear inequalities | Inequalities and regions | 14 |
| E2.6.3 | Represent and interpret linear inequalities in two variables graphically | Inequalities and regions | 1 |
| E2.6.4 | List the inequalities that define a region | Inequalities and regions | 1 |
Not included: E2.1.1 Letters for generalised numbers (used throughout, not taught); E2.4 Indices; E2.7 Sequences; E2.8 Proportion; E2.9 to E2.11 Graphs; E2.12 Differentiation; E2.13 Functions.
In the algebra pack
Part of IGCSE Maths Prep, with the rest of the 0580 course.
Expanding and rearranging
Sign slips in brackets, squared brackets and changing the subject.
Factorising
Common factors left inside, wrong signs and the ax² + bx + c split.
Algebraic fractions
Cancelling terms, the minus sign over a numerator and fractional equations.
Linear and simultaneous equations
Moving terms, forming equations and the elimination sign.
Quadratics
Setting to zero, the formula's −b and 2a, completing the square and line-curve pairs.
Inequalities and regions
Flipping the sign, open and closed ends, and the side of a line.
Two practice sections
20 marks each: one without a calculator (Paper 2), one with (Paper 4). Not full papers.
Get the course
IGCSE Maths Prep: every topic, Core and Extended, with this pack included.
The algebra repair pack is included: all six modules, the 72 marked tasks and both practice sections.
Questions
- Is this the whole 0580 course?
- The pack covers six Extended algebra areas. It comes with IGCSE Maths Prep, the full Core and Extended course for exams in 2026 to 2028, which teaches all nine topics.
- Does it fit 0980 or Edexcel International GCSE?
- No. The pack and the course are mapped to Cambridge 0580 only.
- How is it marked?
- Type your working one step per line. Each method and accuracy mark is checked against the task's own scheme, and a lost mark names the slip behind it.
- Is there a subscription?
- No. One payment of £79 gives 12 months of the full course, this pack included. No VAT is charged.
- Do I need an account for the free check?
- No. The check, its retry and your matched lesson work without one. Your results are saved on your device.
Teachers: see the teacher sample.