Exercise 1 — Cambridge IGCSE 0580 Specimen 2025 Paper 11 Q18
Show mark scheme
Cambridge IGCSE·Mathematics 0580·Core
Transformations
Key knowledge — Transformations
Formulas & equations
Translation by vector (a, b): every point moves +a in x, +b in yEnlargement: image length = scale factor × object lengthArea after enlargement = k² × original areaRotation matrix 90° anticlockwise: (x,y) → (−y, x)Reflection in y = x: (x,y) → (y, x)Reflection in y = −x: (x,y) → (−y, −x)
Key facts & rules
- A translation is described by a vector — no angle or centre needed.
- A rotation needs: angle, direction (CW/CCW), and centre of rotation.
- A reflection needs: the equation of the mirror line.
- An enlargement needs: scale factor and centre of enlargement.
- For a negative scale factor: the image is on the opposite side of the centre.
- Invariant points stay fixed under a transformation.
- Combined transformations: apply right-to-left (T₁T₂ means do T₂ first).
IGCSE Transformations — Transformations Practice Core
7 Cambridge IGCSE 0580 questions on transformations at the Core tier — each with its full mark scheme. For the Extended tier on the same skill, click here.
How to approach transformations — open the study guide
Transformations on IGCSE 0580
Translation (vector), reflection (mirror line), rotation (centre + angle + direction), enlargement (centre + scale factor).
Practice exercises
Exercise 2 — Cambridge IGCSE 0580 Mar 2025 Paper 32 Q20
Show mark scheme
Exercise 3 — Cambridge IGCSE 0580 Jun 2025 Paper 11 Q23
Show mark scheme
Exercise 4 — Cambridge IGCSE 0580 Nov 2025 Paper 12 Q19
Show mark scheme
Exercise 5 — Cambridge IGCSE 0580 Nov 2025 Paper 11 Q21
Show mark scheme
Exercise 6 — Cambridge IGCSE 0580 Nov 2025 Paper 31 Q15
Show mark scheme
Exercise 7 — Cambridge IGCSE 0580 Nov 2025 Paper 33 Q21
Show mark scheme
