The point (3, 5) is reflected in the x-axis. What are the coordinates of its image?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Transformations Topical Past Papers.
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These Transformations Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Transformations and vectors (E7.1) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Reflect, rotate, translate and enlarge 2-D shapes. Describe a given single transformation fully and combine transformations.
The point (3, 5) is reflected in the x-axis. What are the coordinates of its image?
Find the image of the point (4, −2) after a reflection in the y-axis.
[1 mark]The point (5, 1) is translated by the column vector (−3, 4). Find the coordinates of its image.
[2 marks]The point (6, 0) is rotated 90° anti-clockwise about the origin. Find the coordinates of its image.
[2 marks]An enlargement with scale factor 2 is applied to a triangle. The lengths of the new sides compared to the old are:
Triangle T has vertices (1, 1), (3, 1) and (1, 4). A transformation maps T to triangle T' with vertices (2, 2), (6, 2) and (2, 8).
Describe the single transformation that maps T to T'.
[2 marks]Find the area scale factor of this transformation.
[1 mark]The point (4, 9) is reflected in the line y = x. Find the coordinates of its image.
[2 marks]The point (2, 3) is reflected in the x-axis to give point A. Then A is rotated 180° about the origin to give point B. Find the coordinates of B.
[2 marks]